Research areas

Algebra

Staff

Publications

2021

Erdmann, K., Gratz, S., Lamberti, L. (2021) Cluster tilting modules for mesh algebras Linear Algebra and Its Applications, 630, pp. 112-157. (doi: 10.1016/j.laa.2021.07.021)

Gadre, V. (2021) Trimmed sums of twists and the area Siegel-Veech constant Manuscripta Mathematica, 166, pp. 91-99. (doi: 10.1007/s00229-020-01226-x)

Bellamy, G., Brown, R., Cleland Woods, H., Labrosse, N., Senn, H., Singer, J., Vezza, M. (2021) Togetherness: the central tenet of an effective institutional online pivot Journal of Perspectives in Applied Academic Practice, 9, pp. 82-90. (doi: 10.14297/jpaap.v9i2.491)

Feigin, M. V., Hallnäs, M. A., Veselov, A. P. (2021) Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence Communications in Mathematical Physics, 386, pp. 107-141. (doi: 10.1007/s00220-021-04036-8)

Brannan, M., Eifler, K., Voigt, C., Weber, M. (2021) Quantum Cuntz-Krieger algebras Transactions of the American Mathematical Society,

Bellamy, G., Schedler, T. (2021) Symplectic resolutions of quiver varieties Selecta Mathematica, 27, (doi: 10.1007/s00029-021-00647-0)

Balmer, P., Stevenson, G. (2021) Relative stable categories and birationality Journal of the London Mathematical Society, (doi: 10.1112/jlms.12474)

Bellamy, G., Gunningham, S., Raskin, S. (2021) Projective generation for equivariant D-modules Transformation Groups, (doi: 10.1007/s00031-021-09660-1)

Voigt, C., Yuncken, R. (2021) The Plancherel formula for complex semisimple quantum groups Annales Scientifiques de l'École Normale Supérieure,

Brown, K., Tabiri, A. A. (2021) Plane curves which are quantum homogenous spaces Algebras and Representation Theory, (doi: 10.1007/s10468-021-10052-y)

Bellamy, G., Boos, M. (2021) Semisimplicity of the category of admissible D-modules Kyoto Journal of Mathematics, 61, pp. 115-170. (doi: 10.1215/21562261-2020-0006)

Voigt, C. (2021) On the assembly map for complex semisimple quantum groups International Mathematics Research Notices, (doi: 10.1093/imrn/rnaa370)

Bell, M., Delecroix, V., Gadre, V., Gutiérrez-Romo, R., Schleimer, S. (2021) The flow group of rooted abelian or quadratic differentials arXiv,

Baur, K., Faber, E., Gratz, S., Serhiyenko, K., Todorov, G. (2021) Friezes satisfying higher SL_k-determinants Algebra and Number Theory, 15, pp. 29-68. (doi: 10.2140/ant.2021.15.29)

2020

Alkadhem, M., Feigin, M. (2020) Trigonometric V-systems and solutions of WDVV equations Journal of Physics A: Mathematical and Theoretical, 54, (doi: 10.1088/1751-8121/abccf8)

Azemar, A., Gadre, V., Jeffreys, L. (2020) Statistical hyperbolicity for harmonic measure International Mathematics Research Notices, (doi: 10.1093/imrn/rnaa277)

Gratz, S., Stevenson, G. (2020) Homotopy invariants of singularity categories Journal of Pure and Applied Algebra, 224, (doi: 10.1016/j.jpaa.2020.106433)

Gadre, V. (2020) Weil--Petersson geodesics on the modular surface arXiv,

Bellamy, G., Craw, A. (2020) Birational geometry of symplectic quotient singularities Inventiones Mathematicae, 222, pp. 399-468. (doi: 10.1007/s00222-020-00972-9)

Uuye, O., Zacharias, J. (2020) The Fubini product and its applications Bulletin of the Malaysian Mathematical Sciences Society, 43, pp. 4041-4061. (doi: 10.1007/s40840-020-00909-8)

Antoun, J., Voigt, C. (2020) On bicolimits of C*-categories Theory and Applications of Categories, 35, pp. 1683-1725.

Améndola, C., Kosta, D., Kubjas, K. (2020) Maximum likelihood estimation of toric Fano varieties Algebraic Statistics, 11, pp. 5-30. (doi: 10.2140/astat.2020.11.5)

Mampusti, M., Whittaker, M. F. (2020) An aperiodic monotile that forces nonperiodicity through dendrites Bulletin of the London Mathematical Society, 52, pp. 942-959. (doi: 10.1112/blms.12375)

Dao, H., Iyama, O., Takahashi, R., Wemyss, M. (2020) Gorenstein modifications and Q-Gorenstein rings Journal of Algebraic Geometry, 29, pp. 729-751. (doi: 10.1090/jag/760)

Bartel, A., Lenstra Jr., H. W. (2020) On class groups of random number fields Proceedings of the London Mathematical Society, 121, pp. 927-953. (doi: 10.1112/plms.12343)

Easo, P., Garijo, E., Kaubrys, S., Nkansah, D., Vrabec, M., Watt, D., Wilson, C., Bönicke, C., Evington, S., Forough, M., Girón Pacheco, S., Seaton, N., White, S., Whittaker, M. F., Zacharias, J. (2020) The Cuntz-Toeplitz algebras have nuclear dimension one Journal of Functional Analysis, 279, (doi: 10.1016/j.jfa.2020.108690)

Voigt, C., Yuncken, R. (2020) Complex Semisimple Quantum Groups and Representation Theory Springer

Gadre, V., Maher, J. (2020) Recurrence of quadratic differentials for harmonic measure Mathematical Proceedings of the Cambridge Philosophical Society, 169, pp. 299-305. (doi: 10.1017/S0305004119000185)

Gadre, V., Matheus, C. (2020) Cusp excursions of random geodesics in Weil-Petersson type metrics Journal of Differential Geometry,

Alkadhem, M., Antoniou, G., Feigin, M. (2020) Solutions of BCn type of WDVV equations American Mathematical Society

Kosta, D., Thoma, A. (2020) Unboundedness of Markov complexity of monomial curves in An for n ≥ 4 Journal of Pure and Applied Algebra, 224, (doi: 10.1016/j.jpaa.2019.106249)

Ardiyansyah, M., Kosta, D., Kubjas, K. (2020) Model embeddability for symmetric group-based models arXiv,

Greenlees, J.P.C., Stevenson, G. (2020) Morita theory and singularity categories Advances in Mathematics, 365, (doi: 10.1016/j.aim.2020.107055)

Bellamy, G., Boos, M. (2020) The (cyclic) enhanced nilpotent cone via quiver representations Manuscripta Mathematica, 161, pp. 333-362. (doi: 10.1007/s00229-018-1098-9)

Balmer, P., Krause, H., Stevenson, G. (2020) The frame of smashing tensor-ideals Mathematical Proceedings of the Cambridge Philosophical Society, 168, pp. 323-343. (doi: 10.1017/S0305004118000725)

Iyama, O., Wemyss, M. (2020) Weighted projective lines and rational surface singularities Épijournal de Géométrie Algébrique, 3,

2019

Bellamy, G. (2019) Rational Cherednik algebras and Schubert cells Algebras and Representation Theory, 22, pp. 1533-1567. (doi: 10.1007/s10468-018-9831-3)

Bellamy, G., Schedler, T. (2019) On symplectic resolutions and factoriality of Hamiltonian reductions Mathematische Annalen, 375, pp. 165-176. (doi: 10.1007/s00208-019-01851-2)

Bell, M., Delecroix, V., Gadre, V., Gutierrez-Romo, R., Schleimer, S. (2019) Coding Teichmuller flow using veering triangulations arXiv,

Bosa, J., Tornetta, G., Zacharias, J. (2019) A bivariant theory for the Cuntz semigroup Journal of Functional Analysis, 277, pp. 1061-1111. (doi: 10.1016/j.jfa.2019.05.002)

Szabo, G., Wu, J., Zacharias, J. (2019) Rokhlin dimension for actions of residually finite groups Ergodic Theory and Dynamical Systems, 39, pp. 2248-2304. (doi: 10.1017/etds.2017.113)

Feigin, M., Vrabec, M. (2019) Intertwining operator for AG2 Calogero-Moser-Sutherland system Journal of Mathematical Physics, 60, (doi: 10.1063/1.5090274)

Donovan, W., Wemyss, M. (2019) Contractions and deformations American Journal of Mathematics, 141, pp. 563-592. (doi: 10.1353/ajm.2019.0018)

Gratz, S., Holm, T., Jorgensen, P. (2019) Cluster tilting subcategories and torsion pairs in Igusa-Todorov cluster categories of Dynkin type A infinity Mathematische Zeitschrift, 292, pp. 33-56. (doi: 10.1007/s00209-018-2117-y)

Bartel, A., Spencer, M. (2019) Relations between permutation representations in positive characteristic Bulletin of the London Mathematical Society, 51, pp. 293-308. (doi: 10.1112/blms.12230)

Brown, K., Carvalho, P. A.A.B., Matczuk, J. (2019) Simple modules and their essential extensions for skew polynomial rings Mathematische Zeitschrift, 291, pp. 877-903. (doi: 10.1007/s00209-018-2128-8)

Baland, S., Stevenson, G. (2019) Comparisons between singularity categories and relative stable categories of finite groups Journal of Pure and Applied Algebra, 223, pp. 948-964. (doi: 10.1016/j.jpaa.2018.05.008)

Balmer, P., Krause, H., Stevenson, G. (2019) Tensor-triangular fields: ruminations Selecta Mathematica - New Series, 25, (doi: 10.1007/s00029-019-0454-2)

Donovan, W., Wemyss, M. (2019) Noncommutative enhancements of contractions Advances in Mathematics, 344, pp. 99-136. (doi: 10.1016/j.aim.2018.11.019)

Antoniou, G., Feigin, M. (2019) Supersymmetric V-systems Journal of High Energy Physics, 2019, (doi: 10.1007/JHEP02(2019)115)

Monk, A., Voigt, C. (2019) Complex quantum groups and a deformation of the Baum-Connes assembly map Transactions of the American Mathematical Society, 371, pp. 8849-8877. (doi: 10.1090/tran/7774)

Donovan, W., Wemyss, M. (2019) Twists and braids for general 3-fold flops Journal of the European Mathematical Society, 21, pp. 1641-1701. (doi: 10.4171/JEMS/868)

Kosta, D., Kubjas, K. (2019) Maximum likelihood estimation of symmetric group-based models via numerical algebraic geometry Bulletin of Mathematical Biology, 81, pp. 337-360. (doi: 10.1007/s11538-018-0523-2)

Dao, H., Iyama, O., Iyengar, S. B., Takahashi, R., Wemyss, M., Yoshino, Y. (2019) Noncommutative resolutions using syzygies Bulletin of the London Mathematical Society, 51, pp. 43-48. (doi: 10.1112/blms.12210)

Baland, S., Chirvasitu, A., Stevenson, G. (2019) The prime spectra of relative stable module categories Transactions of the American Mathematical Society, 371, pp. 489-503. (doi: 10.1090/tran/7297)

Brown, K.A., Gilmartin, P., Zhang, J.J. (2019) Connected (graded) Hopf algebras Transactions of the American Mathematical Society, 372, pp. 3283-3317. (doi: 10.1090/tran/7686)

Bartel, A., Page, A. (2019) Group representations in the homology of 3-manifolds Commentarii Mathematici Helvetici, 94, pp. 67-88. (doi: 10.4171/CMH/455)

Brendle, T. E., Margalit, D. (2019) Normal subgroups of mapping class groups and the metaconjecture of Ivanov Journal of the American Mathematical Society, 32, pp. 1009-1070. (doi: 10.1090/jams/927)

2018

Brown, K.A., Yakimov, M.T. (2018) Azumaya loci and discriminant ideals of PI algebras Advances in Mathematics, 340, pp. 1219-1255. (doi: 10.1016/j.aim.2018.10.024)

Gratz, S., Stevenson, G. (2018) On the graded dual numbers, arcs, and non-crossing partitions of the integers Journal of Algebra, 515, pp. 360-388. (doi: 10.1016/j.jalgebra.2018.08.023)

Baur, K., Faber, E., Gratz, S., Serhiyenko, K., Todorov, G. (2018) Conway-Coxeter friezes and mutation: a survey Springer

Deeley, R., Goffeng, M., Mesland, B., Whittaker, M. F. (2018) Wieler solenoids, Cuntz-Pimsner algebras and K-theory Ergodic Theory and Dynamical Systems, 38, pp. 2942-2988. (doi: 10.1017/etds.2017.10)

Brendle, T., Margalit, D. (2018) Erratum to: Commensurations of the Johnson kernel Geometry and Topology, (doi: 10.2140/gt.2004.8.1361)

Grabowski, J. E., Gratz, S. (2018) Graded quantum cluster algebras of infinite rank as colimits Journal of Pure and Applied Algebra, 222, pp. 3395-3413. (doi: 10.1016/j.jpaa.2017.12.014)

Gadre, V., Maher, J. (2018) The stratum of random mapping classes Ergodic Theory and Dynamical Systems, 38, pp. 2666-2682. (doi: 10.1017/etds.2016.132)

Brown, K. A., Zhang, J. J. (2018) Unimodular graded Poisson Hopf algebras Bulletin of the London Mathematical Society, 50, pp. 887-898. (doi: 10.1112/blms.12194)

Hirano, Y., Wemyss, M. (2018) Faithful actions from hyperplane arrangements Geometry and Topology, 22, pp. 3395-3433. (doi: 10.2140/gt.2018.22.3395)

Brown, G., Wemyss, M. (2018) Gopakumar--Vafa invariants do not determine flops Communications in Mathematical Physics, 361, pp. 143-154. (doi: 10.1007/s00220-017-3038-z)

Laca, M., Raeburn, I., Ramagge, J., Whittaker, M. F. (2018) Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs Advances in Mathematics, 331, pp. 268-325. (doi: 10.1016/j.aim.2018.03.030)

Bellamy, G., Thiel, U. (2018) Highest weight theory for finite-dimensional graded algebras with triangular decomposition Advances in Mathematics, 330, pp. 361-419. (doi: 10.1016/j.aim.2018.03.011)

Iyama, O., Wemyss, M. (2018) Reduction of triangulated categories and Maximal Modification Algebras for cA_n singularities Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2018, pp. 149-202. (doi: 10.1515/crelle-2015-0031)

Feigin, M. V., Veselov, A. P. (2018) ∨-systems, holonomy lie algebras, and logarithmic vector fields International Mathematics Research Notices, 2018, pp. 2070-2098. (doi: 10.1093/imrn/rnw289)

Stevenson, G. (2018) Filtrations via tensor actions International Mathematics Research Notices, 2018, pp. 2535-2558. (doi: 10.1093/imrn/rnw325)

Baur, K., Gratz, S. (2018) Transfinite mutations in the completed infinity-gon Journal of Combinatorial Theory, Series A, 155, pp. 321-359. (doi: 10.1016/j.jcta.2017.11.011)

Stevenson, G. (2018) A tour of support theory for triangulated categories through Tensor triangular geometry Birkhäuser

Chachólski, W., Dyckerhoff, T., Greenlees, J., Stevenson, G. (2018) Building Bridges Between Algebra and Topology Birkhäuser

Bellamy, G., Schedler, T. (2018) Filtrations on Springer fiber cohomology and Kostka polynomials Letters in Mathematical Physics, 108, pp. 679-698. (doi: 10.1007/s11005-017-1002-7)

Wemyss, M. (2018) Flops and clusters in the homological minimal model programme Inventiones Mathematicae, 211, pp. 435-521. (doi: 10.1007/s00222-017-0750-4)

Baur, K., Faber, E., Gratz, S., Serhiyenko, K., Todorov, G. (2018) Mutation of friezes Bulletin des Sciences Mathématiques, 142, pp. 1-48. (doi: 10.1016/j.bulsci.2017.09.004)

Bosa, J., Tornetta, G., Zacharias, J. (2018) Open projections and suprema in the Cuntz semigroup Mathematical Proceedings of the Cambridge Philosophical Society, 164, pp. 135-146. (doi: 10.1017/S030500411600089X)

Bellamy, G., Schedler, T., Thiel, U. (2018) Hyperplane arrangements associated to symplectic quotient singularities Banach Centre Publications, 116, pp. 25-45. (doi: 10.4064/bc116-2)

Cave, C., Zacharias, J. (2018) Kirchberg-Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case Münster Journal of Mathematics, 11, pp. 217-224. (doi: 10.17879/87109577544)

Brendle, T. E., Margalit, D. (2018) The level four braid group Journal für die Reine und Angewandte Mathematik (Crelles Journal), 735, pp. 249-264. (doi: 10.1515/crelle-2015-0032)

2017

Dell’Ambrogio, I., Stevenson, G., Šťovíček, J. (2017) Gorenstein homological algebra and universal coefficient theorems Mathematische Zeitschrift, 287, pp. 1109-1155. (doi: 10.1007/s00209-017-1862-7)

Brown, K. A., Macleod, M. J. (2017) The Cohen Macaulay property for noncommutative rings Algebras and Representation Theory, 20, pp. 1433-1465. (doi: 10.1007/s10468-017-9694-z)

Voigt, C. (2017) On the structure of quantum automorphism groups Journal für die Reine und Angewandte Mathematik (Crelles Journal), 732, pp. 255-273. (doi: 10.1515/crelle-2014-0141)

Kaminker, J., Putnam, I. F., Whittaker, M. F. (2017) K-theoretic duality for hyperbolic dynamical systems Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2017, pp. 263-299. (doi: 10.1515/crelle-2014-0126)

Bellamy, G., Dodd, C., McGerty, K., Nevins, T. (2017) Categorical cell decomposition of quantized symplectic algebraic varieties Geometry and Topology, 21, pp. 2601-2681. (doi: 10.2140/gt.2017.21.2601)

Bartel, A., Spencer, M. (2017) A note on Green functors with inflation Journal of Algebra, 483, pp. 230-244. (doi: 10.1016/j.jalgebra.2017.03.031)

Bellamy, G., Ginzburg, V. (2017) SL2-action on Hilbert Schemes and Calogero-Moser spaces Michigan Mathematical Journal, 66, pp. 519-532. (doi: 10.1307/mmj/1496995337)

Brendle, T., Childers, L., Margalit, D. (2017) Mapping class groups Princeton University Press

Brownlowe, N., Pask, D., Ramagge, J., Robertson, D., Whittaker, M. (2017) Zappa-Szép product groupoids and C*-blends Semigroup Forum, 94, pp. 500-519. (doi: 10.1007/s00233-016-9775-z)

Brownlowe, N., Carlsen, T. M., Whittaker, M. (2017) Graph algebras and orbit equivalence Ergodic Theory and Dynamical Systems, 37, pp. 389-417. (doi: 10.1017/etds.2015.52)

Barlak, S., Szabo, G., Voigt, C. (2017) The spatial Rokhlin property for actions of compact quantum groups Journal of Functional Analysis, 272, pp. 2308-2360. (doi: 10.1016/j.jfa.2016.09.023)

Stevenson, G. (2017) The local-to-global principle for triangulated categories via dimension functions Journal of Algebra, 473, pp. 406-429. (doi: 10.1016/j.jalgebra.2016.12.002)

Hawkins, A., Zacharias, J. (2017) Spectral metric spaces on extensions of C*-algebras Communications in Mathematical Physics, 350, pp. 475-506. (doi: 10.1007/s00220-016-2820-7)

Bartel, A., Lenstra, H. W. (2017) Commensurability of automorphism groups Compositio Mathematica, 153, pp. 323-346. (doi: 10.1112/S0010437X1600823X)

Mampusti, M., Whittaker, M. F. (2017) Fractal spectral triples on Kellendonk's C*-algebra of a substitution tiling Journal of Geometry and Physics, 112, pp. 224-239. (doi: 10.1016/j.geomphys.2016.11.010)

Steen, J., Stevenson, G. (2017) Enrichment and representability for triangulated categories Documenta Mathematica, 22, pp. 1031-1062.

Gadre, V. (2017) Partial sums of excursions along random geodesics and volume asymptotics for thin parts of moduli spaces of quadratic differentials Journal of the European Mathematical Society, 19, pp. 3053-3089. (doi: 10.4171/JEMS/735)

Gadre, V., Maher, J., Tiozzo, G. (2017) Word length statistics for Teichmuller geodesics and singularity of harmonic measure Commentarii Mathematici Helvetici, 92, pp. 1-36. (doi: 10.4171/CMH/404)

2016

Bartel, A., Page, A. (2016) Torsion homology and regulators of isospectral manifolds Journal of Topology, 9, pp. 1237-1256. (doi: 10.1112/jtopol/jtw023)

Feigin, M. (2016) The Hilbert series of Λr,s(m). Appendix in Etingof, P., Rains, E. On Cohen–Macaulayness of algebras generated by generalized power sums Communications in Mathematical Physics, 347, pp. 163-182. (doi: 10.1007/s00220-016-2657-0)

Bellamy, G., Thiel, U. (2016) Cuspidal Calogero-Moser and Lusztig families for Coxeter groups Journal of Algebra, 462, pp. 197-252. (doi: 10.1016/j.jalgebra.2016.06.003)

Deeley, R., Killough, D. B., Whittaker, M. (2016) Dynamical correspondences for Smale spaces New York Journal of Mathematics, 22, pp. 943-988.

Deeley, R. J., Killough, D. B., Whittaker, M. F. (2016) Functorial properties of Putnam's homology theory for Smale spaces Ergodic Theory and Dynamical Systems, 36, pp. 1411-1440. (doi: 10.1017/etds.2014.134)

Antieau, B., Stevenson, G. (2016) Derived categories of representations of small categories over commutative noetherian rings Pacific Journal of Mathematics, 283, pp. 21-42. (doi: 10.2140/pjm.2016.283.21)

Gratz, S. (2016) Mutation of torsion pairs in cluster categories of Dynkin type D Applied Categorical Structures, 24, pp. 79-104. (doi: 10.1007/s10485-014-9387-2)

Bartel, A., Dokchitser, T. (2016) Rational representations and permutation representations of finite groups Mathematische Annalen, 364, pp. 539-558. (doi: 10.1007/s00208-015-1223-y)

Bellamy, G. (2016) Counting resolutions of symplectic quotient singularities Compositio Mathematica, 152, pp. 99-114. (doi: 10.1112/S0010437X15007630)

Adler, V.E., Berest, Y. Y., Buchstaber, V.M., Grinevich, P.G., Dubrovin, B.A., Krichever, I.M., Novikov, S.P., Sergeev, A.N., Feigin, M.V., Felder, G., Ferapontov, E.V., Chalykh, O.A., Etingof, P.I. (2016) Alexander Petrovich Veselov (on his 60th birthday) Russian Mathematical Surveys, 71, pp. 1159-1176. (doi: 10.1070/RM9734)

Frank, N. P., Webster, S. B.G., Whittaker, M. (2016) Fractal dual substitution tilings Journal of Fractal Geometry, 3, pp. 265-317. (doi: 10.4171/JFG/37)

Bellamy, G., Rogalski, D., Schedler, T., Stafford, J. T., Wemyss, M. (2016) Noncommutative Algebraic Geometry Cambridge University Press

Donovan, W., Wemyss, M. (2016) Noncommutative deformations and flops Duke Mathematical Journal, 165, pp. 1397-1474. (doi: 10.1215/00127094-3449887)

Bellamy, G., Schedler, T. (2016) On the (non)existence of symplectic resolutions of linear quotients Mathematical Research Letters, 23, pp. 1537-1564. (doi: 10.4310/MRL.2016.v23.n6.a1)

Gadre, V., Schleimer, S. (2016) The curves not carried Groups, Geometry and Dynamics, 10, pp. 1249-1264. (doi: 10.4171/GGD/382)

Kumjian, A., Pask, D., Sims, A., Whittaker, M. F. (2016) Topological spaces associated to higher-rank graphs Journal of Combinatorial Theory, Series A, 143, pp. 19-41. (doi: 10.1016/j.jcta.2016.04.005)

2015

Gratz, S. (2015) Cluster algebras of infinite rank as colimits Mathematische Zeitschrift, 281, pp. 1137-1169. (doi: 10.1007/s00209-015-1524-6)

Feigin, M., Hakobyan, T. (2015) On Dunkl angular momenta algebra Journal of High Energy Physics, 2015, (doi: 10.1007/JHEP11(2015)107)

Brendle, T. E., Margalit, D. (2015) Factoring in the hyperelliptic Torelli group Mathematical Proceedings of the Cambridge Philosophical Society, 159, pp. 207-217. (doi: 10.1017/S0305004115000286)

Gadre, V., Maher, J., Tiozzo, G. (2015) Word length statistics and Lyapunov exponents for Fuchsian groups with cusps New York Journal of Mathematics, 21, pp. 511-531.

Steen, J., Stevenson, G. (2015) Strong generators in tensor triangulated categories Bulletin of the London Mathematical Society, 47, pp. 607-616. (doi: 10.1112/blms/bdv037)

Brown, K.A., O'Hagan, S., Zhang, J.J., Zhuang, G. (2015) Connected Hopf algebras and iterated Ore extensions Journal of Pure and Applied Algebra, 219, pp. 2405-2443. (doi: 10.1016/j.jpaa.2014.09.007)

Brown, K., Gilmartin, P. (2015) Quantum homogeneous spaces of connected Hopf algebras Journal of Algebra, 454, pp. 400-432.

Strachan, I., Brendle, T., Wilson, A. (2015) Online assessment and feedback: how to square the circle

Brendle, T., Margalit, D., Putman, A. (2015) Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at t = -1 Inventiones Mathematicae, 200, pp. 263-310. (doi: 10.1007/s00222-014-0537-9)

Hirshberg, I., Winter, W., Zacharias, J. (2015) Rokhlin dimension and C*-dynamics Communications in Mathematical Physics, 335, pp. 637-670. (doi: 10.1007/s00220-014-2264-x)

Kalck, M., Iyama, O., Wemyss, M., Yang, D. (2015) Frobenius categories, Gorenstein algebras and rational surface singularities Compositio Mathematica, 151, pp. 502-534. (doi: 10.1112/S0010437X14007647)

Bellamy, G., Ginzburg, V. (2015) Hamiltonian reduction and nearby cycles for mirabolic D-modules Advances in Mathematics, 269, pp. 71-161. (doi: 10.1016/j.aim.2014.10.002)

Bartel, A., Dokchitser, T. (2015) Brauer relations in finite groups Journal of the European Mathematical Society, 17, pp. 2473-2512. (doi: 10.4171/JEMS/563)

Bhowmick, J., Voigt, C., Zacharias, J. (2015) Compact quantum metric spaces from quantum groups of rapid decay Journal of Noncommutative Geometry, 9, pp. 1175-1200. (doi: 10.4171/JNCG/220)

Voigt, C., Yuncken, R. (2015) Equivariant Fredholm modules for the full quantum flag manifold of SUq(3) Documenta Mathematica, 20, pp. 433-490.

Feigin, M. (2015) Propagation of sound waves Mathematical Etudes. Institute of Mathematics of the Russian Academy of Sciences

Bartel, A. (2015) Simplicity of twists of abelian varieties Acta Arithmetica, 171, pp. 15-22. (doi: 10.4064/aa171-1-2)

Burke, J., Stevenson, G. (2015) The derived category of a graded Gorenstein ring Cambridge University Press

Brown, K. A., Goodearl, K. R. (2015) Zariski topologies on stratified spectra of quantum algebras Cambridge University Press

2014

Chaika, J., Gadre, V. (2014) Every transformation is disjoint from almost every non-classical exchange Geometriae Dedicata, 173, pp. 105-127. (doi: 10.1007/s10711-013-9931-5)

Frettlöh, D., Whitehead, B., Whittaker, M. (2014) Cohomology of the pinwheel tiling Journal of the Australian Mathematical Society, 97, pp. 162-179. (doi: 10.1017/S1446788714000275)

Bellamy, G. (2014) Endomorphisms of verma modules for rational cherednik algebras Transformation Groups, 19, pp. 699-720. (doi: 10.1007/s00031-014-9281-x)

Iyama, O., Wemyss, M. (2014) Maximal modifications and Auslander–Reiten duality for non-isolated singularities Inventiones Mathematicae, 197, pp. 521-586. (doi: 10.1007/s00222-013-0491-y)

Iyama, O., Wemyss, M. (2014) Singular derived categories of -factorial terminalizations and maximal modification algebras Advances in Mathematics, 261, pp. 85-121. (doi: 10.1016/j.aim.2014.04.001)

Stevenson, G. (2014) Derived categories of absolutely flat rings Homology, Homotopy and Applications, 16, pp. 45-64. (doi: 10.4310/HHA.2014.v16.n2.a3)

Feigin, M., Johnston, D. (2014) A class of Baker-Akhiezer arrangements Communications in Mathematical Physics, 328, pp. 1117-1157. (doi: 10.1007/s00220-014-1921-4)

Laca, M., Raeburn, I., Ramagge, J., Whittaker, M. (2014) Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions Journal of Functional Analysis, 266, pp. 6619-6661. (doi: 10.1016/j.jfa.2014.03.003)

Bartel, A., Dokchitser, T. (2014) Brauer relations in finite groups II: quasi-elementary groups of order paq Journal of Group Theory, 17, pp. 381-393. (doi: 10.1515/jgt-2013-0044)

Grabowski, J. E., Gratz, S. (2014) Cluster algebras of infinite rank Journal of the London Mathematical Society, 89, pp. 337-363. (doi: 10.1112/jlms/jdt064)

Cheltsov, I., Kosta, D. (2014) Computing α-invariants of singular del Pezzo surfaces Journal of Geometric Analysis, 24, pp. 798-842. (doi: 10.1007/s12220-012-9357-6)

Stevenson, G. (2014) Duality for bounded derived categories of complete intersections Bulletin of the London Mathematical Society, 46, pp. 245-257. (doi: 10.1112/blms/bdt089)

Brownlowe, N., Ramagge, J., Robertson, D., Whittaker, M. (2014) Zappa–Szép products of semigroups and their C*-algebras Journal of Functional Analysis, 266, pp. 3937-3967. (doi: 10.1016/j.jfa.2013.12.025)

Voigt, C. (2014) Cyclic cohomology and Baaj-Skandalis duality Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 13, pp. 115-145. (doi: 10.1017/is013012001jkt248)

Bartel, A. (2014) Factor equivalence of Galois modules and regulator constants International Journal of Number Theory, 10, pp. 1-12. (doi: 10.1142/S1793042113500772)

Stevenson, G. (2014) Subcategories of singularity categories via tensor actions Compositio Mathematica, 150, pp. 229-272. (doi: 10.1112/S0010437X1300746X)

Feigin, M., Silantyev, A. (2014) Generalized Macdonald-Ruijsenaars systems Advances in Mathematics, 250, pp. 144-192. (doi: 10.1016/j.aim.2013.09.001)

Bellamy, G., Martino, M. (2014) Affinity of Cherednik algebras on projective space Algebra and Number Theory, 8, pp. 1151-1177. (doi: 10.2140/ant.2014.8.1151)

Gadre, V. (2014) Harmonic measures for distributions with finite support on the mapping class group are singular Duke Mathematical Journal, 163, pp. 309-368. (doi: 10.1215/00127094-2430368)

Brown, K., Gilmartin, P. (2014) Hopf algebras under finiteness conditions Palestine Journal of Mathematics, 3, pp. 356-365.

Sims, A., Whitehead, B., Whittaker, M. (2014) Twisted C*-algebras associated to finitely aligned higher-rank graphs Documenta Mathematica, 19, pp. 831-866.

2013

Krause, H., Stevenson, G. (2013) A note on thick subcategories of stable derived categories Nagoya Mathematical Journal, 212, pp. 87-96. (doi: 10.1215/00277630-2351125)

Bartel, A. (2013) Elliptic curves with p-Selmer growth for all p Quarterly Journal of Mathematics, 64, pp. 947-954. (doi: 10.1093/qmath/has030)

Bartel, A., de Smit, B. (2013) Index formulae for integral Galois modules Journal of the London Mathematical Society, 88, pp. 845-859. (doi: 10.1112/jlms/jdt033)

Bellamy, G., Martino, M. (2013) On the smoothness of centres of rational Cherednik algebras in positive characteristic Glasgow Mathematical Journal, 55, pp. 27-54. (doi: 10.1017/S0017089513000499)

Iyama, O., Wemyss, M. (2013) On the noncommutative Bondal–Orlov conjecture Journal für die reine und angewandte Mathematik (Crelles Journal), 683, pp. 119-128. (doi: 10.1515/crelle-2012-0001)

Brendle, T.E., Margalit, D. (2013) Point pushing, homology, and the hyperelliptic involution Michigan Mathematical Journal, 62, pp. 451-473. (doi: 10.1307/mmj/1378757883)

Vergnioux, R., Voigt, C. (2013) The K-theory of free quantum groups Mathematische Annalen, 357, pp. 355-400. (doi: 10.1007/s00208-013-0902-9)

Stevenson, G. (2013) Support theory via actions of tensor triangulated categories Journal für die reine und angewandte Mathematik (Crelles Journal), 2013, (doi: 10.1515/crelle-2012-0025)

Bellamy, G., Schedler, T. (2013) A new linear quotient of C^4 admitting a symplectic resolution Mathematische Zeitschrift, 273, pp. 753-769. (doi: 10.1007/s00209-012-1028-6)

Bellamy, G., Ginzburg, V. (2013) Some combinatorial identities related to commuting varieties and Hilbert schemes Mathematische Annalen, 355, pp. 801-847. (doi: 10.1007/s00208-012-0805-1)

Brown, K., Macauley, M. (2013) Ambiskew Hopf algebras Journal of Pure and Applied Algebra, 217, pp. 59-74. (doi: 10.1016/j.jpaa.2012.04.007)

Feigin, M.V., Hallnäs, M.A., Veselov, A.P. (2013) Baker-Akhiezer functions and generalised Macdonald-Mehta integrals Journal of Mathematical Physics, 54, pp. 052106. (doi: 10.1063/1.4804615)

Bellamy, G., Dodd, C., McGerty, K., Nevins, T. (2013) Categorical cell decomposition of quantized symplectic algebraic varieties arXiv,

Brendle, T., Childers, L., Margalit, D. (2013) Cohomology of the hyperelliptic Torelli group Israel Journal of Mathematics, 195, pp. 613-630. (doi: 10.1007/s11856-012-0075-3)

Brendle, T.E., Hatcher, A. (2013) Configuration spaces of rings and wickets Commentarii Mathematici Helvetici, 88, pp. 131-162. (doi: 10.4171/CMH/280)

Gadre, V., Hironaka, E., Kent, R., Leininger, C. (2013) Lipschitz constants to curve complexes Mathematical Research Letters, 20, pp. 647-656.

Hawkins, A., Skalski, A., White, S., Zacharias, J. (2013) On spectral triples on crossed products arising from equicontinuous actions Mathematica Scandinavica, 113, pp. 262-291.

Wemyss, M. (2013) Reconstruction algebras of type D (II) Hokkaido Mathematical Journal, 42, pp. 293-329. (doi: 10.14492/hokmj/1372859589)

Whittaker, M. (2013) Spectral triples for hyperbolic dynamical systems Journal of Noncommutative Geometry, 7, pp. 563-582. (doi: 10.4171/JNCG/127)

Feigin, M., Lechtenfeld, O., Polychronakos, A. (2013) The quantum angular Calogero-Moser model Journal of High Energy Physics, 2013, (doi: 10.1007/JHEP07(2013)162)

2012

Gadre, V. H. (2012) Dynamics of non-classical interval exchanges Ergodic Theory and Dynamical Systems, 32, pp. 1930-1971. (doi: 10.1017/S0143385711000691)

Feigin, M., Silantyev, A. (2012) Singular polynomials from orbit spaces Compositio Mathematica, 148, pp. 1867-1879. (doi: 10.1112/S0010437X1200036X)

Bartel, A. (2012) On Brauer–Kuroda type relations of S-class numbers in dihedral extensions Journal für die reine und angewandte Mathematik (Crelles Journal), 2012, pp. 211-244. (doi: 10.1515/CRELLE.2011.152)

Wemyss, M. (2012) Reconstruction algebras of type D (I) Journal of Algebra, 356, pp. 158-194. (doi: 10.1016/j.jalgebra.2012.01.019)

Feigin, M. (2012) Generalized Calogero–Moser systems from rational Cherednik algebras Selecta Mathematica - New Series, 18, pp. 253-281. (doi: 10.1007/s00029-011-0074-y)

Bellamy, G., Kuwabara, T. (2012) On deformation quantizations of hypertoric varieties Pacific Journal of Mathematics, 260, pp. 89-127. (doi: 10.2140/pjm.2012.260.89)

Feigin, M., Shramov, C. (2012) On unitary submodules in the polynomial representations of rational cherednik algebras International Mathematics Research Notices, 15, pp. 3375-3414. (doi: 10.1093/imrn/rnr140)

Voigt, C. (2012) Quantum SU(2) and the Baum-Connes conjecture Banach Centre Publications, 98, pp. 417-432. (doi: 10.4064/bc98-0-17)

Bellamy, G. (2012) The Calogero-Moser partition for G(m,d,n) Nagoya Mathematical Journal, 207, pp. 47-77.

2011

Bellamy, G. (2011) Cuspidal representations of rational Cherednik algebras at t=0 Mathematische Zeitschrift, 269, pp. 609-627. (doi: 10.1007/s00209-010-0754-x)

Gadre, V. (2011) The limit set of the handlebody set has measure zero. Journal für die reine und angewandte Mathematik (Crelles Journal), 2012, pp. 115-119. (doi: 10.1515/CRELLE.2011.154,)

Gadre, V., Tsai, C.-y. (2011) Minimal pseudo-anosov translation lengths on the complex of curves Geometry and Topology, 15, pp. 1297-1312. (doi: 10.2140/gt.2011.15.1297)

Frank, N. P., Whittaker, M. (2011) A fractal version of the pinwheel tiling Mathematical Intelligencer, 33, pp. 7-17. (doi: 10.1007/s00283-011-9212-9)

Wemyss, M. (2011) The GL(2, C) McKay correspondence Mathematische Annalen, 350, pp. 631-659. (doi: 10.1007/s00208-010-0572-9)

Wemyss, M. (2011) Reconstruction algebras of type A Transactions of the American Mathematical Society, 363, pp. 3101-3132. (doi: 10.1090/S0002-9947-2011-05130-5)

Iyama, O., Wemyss, M. (2011) A new triangulated category for rational surface singularities Illinois Journal of Mathematics, 55, pp. 325-341.

Voigt, C. (2011) The Baum-Connes conjecture for free orthogonal quantum groups Advances in Mathematics, 227, pp. 1873-1913. (doi: 10.1016/j.aim.2011.04.008)

2010

Bocklandt, R., Schedler, T., Wemyss, M. (2010) Superpotentials and higher order derivations Journal of Pure and Applied Algebra, 214, pp. 1501-1522. (doi: 10.1016/j.jpaa.2009.07.013)

Winter, W., Zacharias, J. (2010) The nuclear dimension of C*-algebras Advances in Mathematics, 224, pp. 461-498. (doi: 10.1016/j.aim.2009.12.005)

Iyama, O., Wemyss, M. (2010) The classification of special Cohen–Macaulay modules Mathematische Zeitschrift, 265, pp. 41-83. (doi: 10.1007/s00209-009-0501-3)

Bartel, A. (2010) Large Selmer groups over number fields Mathematical Proceedings of the Cambridge Philosophical Society, 148, pp. 73-86. (doi: 10.1017/S0305004109990132)

Brown, K.A., Changtong, K. (2010) Symplectic reflection algebras in positive characteristic Proceedings of the Edinburgh Mathematical Society, 53, pp. 61-81. (doi: 10.1017/S0013091507001435)

Skalski, A., Zacharias, J. (2010) Approximation properties and entropy estimates for crossed products by actions of amenable discrete quantum groups Journal of the London Mathematical Society, 82, pp. 184-202. (doi: 10.1112/jlms/jdq023)

Whittaker, M. (2010) C*-algebras of tilings with infinite rotational symmetry Journal of Operator Theory, 64, pp. 299-319.

Nest, R., Voigt, C. (2010) Equivariant Poincaré duality for quantum group actions Journal of Functional Analysis, 258, pp. 1466-1503. (doi: 10.1016/j.jfa.2009.10.015)

Skalski, A., Zacharias, J. (2010) On approximation properties of Pimsner algebras and crossed products by Hilbert bimodules Rocky Mountain Journal of Mathematics, 40, pp. 609-625.

Skalski, A., Zacharias, J. (2010) Poisson transform for higher-rank graph algebras and its applications Journal of Operator Theory, 63, pp. 425-454.

Brown, K. A., Zhang, J. J. (2010) Prime regular Hopf algebras of GK-dimension one Proceedings of the London Mathematical Society, 101, pp. 260-302. (doi: 10.1112/plms/pdp060)

2009

Kosta, D. (2009) Factoriality of complete intersections in ℙ5 Proceedings of the Steklov Institute of Mathematics, 264, pp. 102-109. (doi: 10.1134/S0081543809010131)

Feigin, M., Korff, C., Strachan, I. (2009) Workshop island 3: algebraic aspects of integrability. Introduction to an additional volume of selected papers arising from the conference on algebraic aspects of integrable systems, Island 3, Islay 2007 Glasgow Mathematical Journal, 51, pp. 1-3. (doi: 10.1017/S0017089508004734)

Bellamy, G. (2009) Factorization in generalized Calogero-Moser spaces Journal of Algebra, 321, pp. 338-344. (doi: 10.1016/j.jalgebra.2008.09.015)

Skalski, A., Zacharias, J. (2009) A note on spectral triples and quasidiagonality Expositiones Mathematicae, 27, pp. 137-141. (doi: 10.1016/j.exmath.2008.10.007)

Voigt, C. (2009) Chern character for totally disconnected groups Mathematische Annalen, 343, pp. 507-540. (doi: 10.1007/s00208-008-0281-9)

Winter, W., Zacharias, J. (2009) Completely positive maps of order zero Munster Journal of Mathematics, 2, pp. 311-324.

Bellamy, G. (2009) On singular Calogero-Moser spaces Bulletin of the London Mathematical Society, 41, pp. 315-326. (doi: 10.1112/blms/bdp019)

Feigin, M. (2009) Trigonometric solutions of WDVV equations and generalized Calogero-Moser-Sutherland systems Symmetry, Integrability and Geometry: Methods and Applications, 5, pp. 088. (doi: 10.3842/SIGMA.2009.088)

2008

Birman, J., Brendle, T., Broaddus, N. (2008) Calculating the image of the second Johnson–Morita representation

Kosta, D. (2008) Factoriality condition of some nodal threefolds in ℙ4 Manuscripta Mathematica, 127, pp. 151-166. (doi: 10.1007/s00229-008-0197-4)

Brown, K.A., Zhang, J.J. (2008) Dualising complexes and twisted Hochschild (co)homology for noetherian Hopf algebras Journal of Algebra, 320, pp. 1814-1850. (doi: 10.1016/j.jalgebra.2007.03.050)

Brown, K.A., Gordon, I.G., Stroppel, C. (2008) Cherednik, Hecke and quantum algebras as free Frobenius and Calabi–Yau extensions Journal of Algebra, 319, pp. 1007-1034. (doi: 10.1016/j.jalgebra.2007.10.026)

Voigt, C. (2008) A new description of equivariant cohomology for totally disconnected groups Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 1, pp. 431-472. (doi: 10.1017/is007011019jkt020)

Brendle, T., Margalit, D. (2008) Addendum to: commensurations of the Johnson kernel Geometry and Topology, 12, pp. 97-101. (doi: 10.2140/gt.2008.12.97)

Voigt, C. (2008) Bornological quantum groups Pacific Journal of Mathematics, 235, pp. 93-135. (doi: 10.2140/pjm.2008.235.93)

Skalski, A., Zacharias, J. (2008) Entropy of shifts on higher-rank graph C*-algebras Houston Journal of Mathematics, 34, pp. 269-282.

Voigt, C. (2008) Equivariant cyclic homology for quantum groups

Skalski, A., Zacharias, J. (2008) Noncommutative topological entropy of endomorphisms of Cuntz algebras Letters in Mathematical Physics, 86, pp. 115-134. (doi: 10.1007/s11005-008-0279-y)

Feigin, M., Veselov, A.P. (2008) On the geometry of V-systems American Mathematical Society

Skalski, A., Zacharias, J. (2008) Wold decomposition for representations of product systems of C* corrrespondences International Journal of Mathematics, 19, pp. 455-479. (doi: 10.1142/S0129167X08004765)

2007

Feigin, M., Veselov, A.P. (2007) Logarithmic Frobenius structures and Coxeter discriminants Advances in Mathematics, 212, pp. 143-162. (doi: 10.1016/j.aim.2006.08.010)

Brendle, T.E., Farb, B. (2007) The Birman–Craggs–Johnson homomorphism and abelian cycles in the Torelli group Mathematische Annalen, 338, pp. 33-53. (doi: 10.1007/s00208-006-0066-y)

Voigt, C. (2007) Equivariant local cyclic homology and the equivariant Chern-Connes character Documenta Mathematica, 12, pp. 313-359 (electronic).

Voigt, C. (2007) Equivariant periodic cyclic homology Journal of the Institute of Mathematics of Jussieu, 6, pp. 689-763. (doi: 10.1017/S1474748007000102)

Brown, K. (2007) Noetherian Hopf algebras

Ardakov, K., Brown, K.A. (2007) Primeness, semiprimeness and localisation in Iwasawa algebras Transactions of the American Mathematical Society, 359, pp. 1499-1515. (doi: 10.1090/S0002-9947-06-04153-5)

2006

Brown, K.A., Goodearl, K.R., Yakimov, M. (2006) Poisson structures on affine spaces and flag varieties. I. Matrix affine Poisson space Advances in Mathematics, 206, pp. 567-629. (doi: 10.1016/j.aim.2005.10.004)

Feigin, M. (2006) On the logarithmic solutions of the WDVV equations Czechoslovak Journal of Physics, 56, pp. 1149-1153. (doi: 10.1007/s10582-006-0416-8)

Bhat, B.V.R., Dey, S., Zacharias, J. (2006) Minimal Cuntz-Krieger dilations and representations of Cuntz-Krieger algebras Proceedings Mathematical Sciences, 116, pp. 193-220. (doi: 10.1007/BF02829787)

Chen, Y., Feigin, M. (2006) Painlevé IV and degenerate Gaussian unitary ensembles Journal of Physics A: Mathematical and General, 39, pp. 12381-12393. (doi: 10.1088/0305-4470/39/40/007)

Ardakov, K., Brown, K.A. (2006) Ring-theoretic properties of Iwasawa algebras: a survey Deutsche Mathematiker-Vereinigung

2005

Feigin, M. (2005) Bispectrality for deformed Calogero­-Moser­-Sutherland systems Journal of Nonlinear Mathematical Physics, 12, pp. 95-136. (doi: 10.2991/jnmp.2005.12.s2.8)

Birman, J., Brendle, T. (2005) Braids: a survey Elsevier

Popescu, I., Zacharias, J. (2005) E-theoretic duality for higher rank graph algebras K-Theory, 34, pp. 265-282. (doi: 10.1007/s10977-005-5544-6)

Zacharias, J. (2005) Topological entropy of quotients and extensions World Scientific

Brown, K. (2005) Unruffled extensions and flatness over central subalgebras Journal of Algebra, 284, pp. 771-800. (doi: 10.1016/j.jalgebra.2004.10.008)

2004

Feigin, M. (2004) Quasi-invariants of dihedral systems Mathematical Notes, 76, pp. 723-737. (doi: 10.1023/B:MATN.0000049671.38147.7e)

Brendle, T.E., Farb, B. (2004) Every mapping class group is generated by 6 involutions Journal of Algebra, 278, pp. 187-198. (doi: 10.1016/j.jalgebra.2004.02.019)

Brendle, T.E., Margalit, D. (2004) Commensurations of the Johnson kernel Geometry and Topology, 8, pp. 1361-1384. (doi: 10.2140/gt.2004.8.1361)

2003

Feigin, M. (2003) Intertwining relations for the spherical parts of generalized Calogero operators Theoretical and Mathematical Physics, 135, pp. 497-509. (doi: 10.1023/A:1023231402145)

Hirshberg, I., Zacharias, J. (2003) On the structure of spectral algebras and their generalizations American Mathematical Society

Brown, K., Gordon, I. (2003) Poisson orders, symplectic reflection algebras and representation theory Journal für die reine und angewandte Mathematik (Crelles Journal), 559, pp. 193-216.

Feigin, M., Veselov, A.P. (2003) Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems International Mathematics Research Notices, 2003, pp. 2487-2511. (doi: 10.1155/S1073792803130826)

Brown, K. (2003) Symplectic reflection algebras Bulletin of the Irish Mathematical Society, 50, pp. 27-49.

2002

Brown, K.A., Goodearl, K.R. (2002) Lectures on Algebraic Quantum Groups Birkhäuser

Feigin, M., Veselov, A.P. (2002) Quasi-invariants of Coxeter groups and m-harmonic polynomials International Mathematics Research Notices, 2002, pp. 521-545. (doi: 10.1155/S1073792802106064)

Brown, K., Gordon, I. (2002) The ramifications of the centres: Quantised function algebras at roots of unity Proceedings of the London Mathematical Society, 84, pp. 147-178.

2001

Brendle, T.E., Hamidi-Tehrani, H. (2001) On the linearity problem for mapping class groups Algebraic and Geometric Topology, 1, pp. 445-468.

Zacharias, J. (2001) Endomorphisms of continuous Cuntz algebras Journal of Operator Theory, 46, pp. 561-577.

Zacharias, J. (2001) Splitting for subalgebras of tensor products Proceedings of the American Mathematical Society, 129, pp. 407-413.

Brown, K., Gordon, I. (2001) The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras Mathematische Zeitschrift, 238, pp. 733-779.

2000

Zacharias, J. (2000) Pure infiniteness of spectral algebras Journal of Functional Analysis, 178, pp. 381-395. (doi: 10.1006/jfan.2000.3661)

Zacharias, J. (2000) Continuous Tensor Products and Arveson's Spectral C*-algebras American Mathematical Society

Zacharias, J. (2000) Quasi free automorphisms of Cuntz-Krieger-Pimsner-algebras Springer

1999

Feigin, M.V. (1999) Singular operators satisfying an intertwining relation Theoretical and Mathematical Physics, 121, pp. 1478-1483.

Chalykh, O.A., Feigin, M.V., Veselov, A.P. (1999) Multidimensional Baker-Akhiezer functions and Huygens' principle Communications in Mathematical Physics, 206, pp. 533-566. (doi: 10.1007/PL00005521)

1998

Chalykh, O.A., Feigin, M., Veselov, A.P. (1998) New integrable generalizations of Calogero-Moser quantum problem Journal of Mathematical Physics, 39, pp. 695-703. (doi: 10.1063/1.532347)

1996

Veselov, A.P., Feigin, M.V., Chalykh, O.A. (1996) New integrable deformations of quantum Calogero-Moser problem Russian Mathematical Surveys, 51, pp. 573-574. (doi: 10.1070/RM1996v051n03ABEH002956)

Analysis

Staff

Publications

2021

Ara, P., Bonicke, C., Bosa, J., Li, K. (2021) The type semigroup, comparison and almost finiteness for ample groupoids Ergodic Theory and Dynamical Systems,

Li, X. (2021) Constructing Menger manifold C*-diagonals in classifiable C*-algebras International Mathematics Research Notices, (doi: 10.1093/imrn/rnab199)

Li, X. (2021) K-theory for semigroup C*-algebras and partial crossed products Communications in Mathematical Physics, (doi: 10.1007/s00220-021-04194-9)

Brannan, M., Eifler, K., Voigt, C., Weber, M. (2021) Quantum Cuntz-Krieger algebras Transactions of the American Mathematical Society,

Voigt, C., Yuncken, R. (2021) The Plancherel formula for complex semisimple quantum groups Annales Scientifiques de l'École Normale Supérieure,

Voigt, C. (2021) On the assembly map for complex semisimple quantum groups International Mathematics Research Notices, (doi: 10.1093/imrn/rnaa370)

Li, X., Omland, T., Spielberg, J. (2021) C*-algebras of right LCM one-relator monoids and Artin-Tits monoids of finite type Communications in Mathematical Physics, 381, pp. 1263-1308. (doi: 10.1007/s00220-020-03758-5)

Bonicke, C., Chakraborty, S., He, Z., Liao, H.-C. (2021) A note on crossed products of rotation algebras Journal of Operator Theory, 85, pp. 391-402. (doi: 10.7900/jot.2019sep08.2283)

Bönicke, C. (2021) K-theory and homotopies of twists on ample groupoids Journal of Noncommutative Geometry, 15, pp. 195-222. (doi: 10.4171/JNCG/399)

2020

Uuye, O., Zacharias, J. (2020) The Fubini product and its applications Bulletin of the Malaysian Mathematical Sciences Society, 43, pp. 4041-4061. (doi: 10.1007/s40840-020-00909-8)

Antoun, J., Voigt, C. (2020) On bicolimits of C*-categories Theory and Applications of Categories, 35, pp. 1683-1725.

Bönicke, C. (2020) A Going-Down principle for ample groupoids and the Baum-Connes conjecture Advances in Mathematics, 372, (doi: 10.1016/j.aim.2020.107314)

Mampusti, M., Whittaker, M. F. (2020) An aperiodic monotile that forces nonperiodicity through dendrites Bulletin of the London Mathematical Society, 52, pp. 942-959. (doi: 10.1112/blms.12375)

Barlak, S., Li, X. (2020) Cartan subalgebras and the UCT problem, II Mathematische Annalen, 378, pp. 255-287. (doi: 10.1007/s00208-020-02022-4)

Easo, P., Garijo, E., Kaubrys, S., Nkansah, D., Vrabec, M., Watt, D., Wilson, C., Bönicke, C., Evington, S., Forough, M., Girón Pacheco, S., Seaton, N., White, S., Whittaker, M. F., Zacharias, J. (2020) The Cuntz-Toeplitz algebras have nuclear dimension one Journal of Functional Analysis, 279, (doi: 10.1016/j.jfa.2020.108690)

Voigt, C., Yuncken, R. (2020) Complex Semisimple Quantum Groups and Representation Theory Springer

Ara, P., Bonicke, C., Bosa, J., Li, K. (2020) Strict comparison for C*-algebras arising from almost finite groupoids Banach Journal of Mathematical Analysis, 14, pp. 1692-1710. (doi: 10.1007/s43037-020-00079-6)

Li, X. (2020) Every classifiable simple C*-algebra has a Cartan subalgebra Inventiones Mathematicae, 219, pp. 653-699. (doi: 10.1007/s00222-019-00914-0)

Bönicke, C., Li, K. (2020) Ideal structure and pure infiniteness of ample groupoid C* -algebras Ergodic Theory and Dynamical Systems, 40, pp. 34-63. (doi: 10.1017/etds.2018.39)

2019

Li, X. (2019) K-theory for generalized Lamplighter groups Proceedings of the American Mathematical Society, 147, pp. 4371-4378. (doi: 10.1090/proc/14619)

Bönicke, C., Dell'Aiera, C. (2019) Going-down functors and the Künneth formula for crossed products by étale groupoids Transactions of the American Mathematical Society, 372, pp. 8159-8194. (doi: 10.1090/tran/7913)

Li, X., Renault, J. (2019) Cartan subalgebras in C*-algebras. Existence and uniqueness Transactions of the American Mathematical Society, 372, pp. 1985-2010. (doi: 10.1090/tran/7654)

Bosa, J., Tornetta, G., Zacharias, J. (2019) A bivariant theory for the Cuntz semigroup Journal of Functional Analysis, 277, pp. 1061-1111. (doi: 10.1016/j.jfa.2019.05.002)

Szabo, G., Wu, J., Zacharias, J. (2019) Rokhlin dimension for actions of residually finite groups Ergodic Theory and Dynamical Systems, 39, pp. 2248-2304. (doi: 10.1017/etds.2017.113)

Cornelissen, G., Li, X., Marcolli, M., Smit, H. (2019) Reconstructing global fields from dynamics in the abelianized Galois group Selecta Mathematica - New Series, 25, (doi: 10.1007/s00029-019-0469-8)

Cornelissen, G., de Smit, B., Li, X., Marcolli, M., Smit, H. (2019) Characterization of global fields by Dirichlet L-series Research in Number Theory, 5, (doi: 10.1007/s40993-018-0143-9)

Monk, A., Voigt, C. (2019) Complex quantum groups and a deformation of the Baum-Connes assembly map Transactions of the American Mathematical Society, 371, pp. 8849-8877. (doi: 10.1090/tran/7774)

2018

Bonicke, C., Chakraborty, S., He, Z., Liao, H.-C. (2018) Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of SL2(Z) Journal of Functional Analysis, 275, pp. 3208-3243. (doi: 10.1016/j.jfa.2018.08.008)

Deeley, R., Goffeng, M., Mesland, B., Whittaker, M. F. (2018) Wieler solenoids, Cuntz-Pimsner algebras and K-theory Ergodic Theory and Dynamical Systems, 38, pp. 2942-2988. (doi: 10.1017/etds.2017.10)

Laca, M., Raeburn, I., Ramagge, J., Whittaker, M. F. (2018) Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs Advances in Mathematics, 331, pp. 268-325. (doi: 10.1016/j.aim.2018.03.030)

Chu, C.-H., Li, X. (2018) Amenability, Reiter's condition and Liouville property Journal of Functional Analysis, 274, pp. 3291-3324. (doi: 10.1016/j.jfa.2018.03.014)

Li, X. (2018) Continuous orbit equivalence rigidity Ergodic Theory and Dynamical Systems, 38, pp. 1543-1563. (doi: 10.1017/etds.2016.98)

Bosa, J., Tornetta, G., Zacharias, J. (2018) Open projections and suprema in the Cuntz semigroup Mathematical Proceedings of the Cambridge Philosophical Society, 164, pp. 135-146. (doi: 10.1017/S030500411600089X)

Cave, C., Zacharias, J. (2018) Kirchberg-Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case Münster Journal of Mathematics, 11, pp. 217-224. (doi: 10.17879/87109577544)

2017

Voigt, C. (2017) On the structure of quantum automorphism groups Journal für die Reine und Angewandte Mathematik (Crelles Journal), 732, pp. 255-273. (doi: 10.1515/crelle-2014-0141)

(2017) K-Theory for Group C*-Algebras and Semigroup C*-Algebras 47, (doi: 10.1007/978-3-319-59915-1)

Kaminker, J., Putnam, I. F., Whittaker, M. F. (2017) K-theoretic duality for hyperbolic dynamical systems Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2017, pp. 263-299. (doi: 10.1515/crelle-2014-0126)

Li, X. (2017) Partial transformation groupoids attached to graphs and semigroups International Mathematics Research Notices, 2017, pp. 5233-5259. (doi: 10.1093/imrn/rnw166)

Barlak, S., Li, X. (2017) Cartan subalgebras and the UCT problem Advances in Mathematics, 316, pp. 748-769. (doi: 10.1016/j.aim.2017.06.024)

Brownlowe, N., Pask, D., Ramagge, J., Robertson, D., Whittaker, M. (2017) Zappa-Szép product groupoids and C*-blends Semigroup Forum, 94, pp. 500-519. (doi: 10.1007/s00233-016-9775-z)

Brownlowe, N., Carlsen, T. M., Whittaker, M. (2017) Graph algebras and orbit equivalence Ergodic Theory and Dynamical Systems, 37, pp. 389-417. (doi: 10.1017/etds.2015.52)

Barlak, S., Szabo, G., Voigt, C. (2017) The spatial Rokhlin property for actions of compact quantum groups Journal of Functional Analysis, 272, pp. 2308-2360. (doi: 10.1016/j.jfa.2016.09.023)

Hawkins, A., Zacharias, J. (2017) Spectral metric spaces on extensions of C*-algebras Communications in Mathematical Physics, 350, pp. 475-506. (doi: 10.1007/s00220-016-2820-7)

Mampusti, M., Whittaker, M. F. (2017) Fractal spectral triples on Kellendonk's C*-algebra of a substitution tiling Journal of Geometry and Physics, 112, pp. 224-239. (doi: 10.1016/j.geomphys.2016.11.010)

2016

Deeley, R., Killough, D. B., Whittaker, M. (2016) Dynamical correspondences for Smale spaces New York Journal of Mathematics, 22, pp. 943-988.

Deeley, R. J., Killough, D. B., Whittaker, M. F. (2016) Functorial properties of Putnam's homology theory for Smale spaces Ergodic Theory and Dynamical Systems, 36, pp. 1411-1440. (doi: 10.1017/etds.2014.134)

Li, X. (2016) Semigroup C*-Algebras (doi: 10.1007/978-3-319-39286-8_9)

Li, X. (2016) Semigroup C*-algebras of ax + b-semigroups Transactions of the American Mathematical Society, 368, pp. 4417-4437. (doi: 10.1090/tran/6469)

Li, X. (2016) On K-theoretic invariants of semigroup C*-algebras attached to number fields, Part II Advances in Mathematics, 291, pp. 1-11. (doi: 10.1016/j.aim.2015.12.024)

Li, X., Norling, M. D. (2016) Independent resolutions for totally disconnected dynamical systems. II. C*-algebraic case Journal of Operator Theory, 75, pp. 163-193. (doi: 10.7900/jot.2014dec22.2061)

Frank, N. P., Webster, S. B.G., Whittaker, M. (2016) Fractal dual substitution tilings Journal of Fractal Geometry, 3, pp. 265-317. (doi: 10.4171/JFG/37)

Eilers, S., Li, X., Ruiz, E. (2016) The isomorphism problem for semigroup C*-algebras of right-angled Artin monoids Documenta Mathematica, 21, pp. 309-343.

Kumjian, A., Pask, D., Sims, A., Whittaker, M. F. (2016) Topological spaces associated to higher-rank graphs Journal of Combinatorial Theory, Series A, 143, pp. 19-41. (doi: 10.1016/j.jcta.2016.04.005)

2015

Li, X. (2015) A new approach to recent constructions of C*-algebras from modular index theory Journal of Functional Analysis, 269, pp. 841-864. (doi: 10.1016/j.jfa.2014.12.015)

Hirshberg, I., Winter, W., Zacharias, J. (2015) Rokhlin dimension and C*-dynamics Communications in Mathematical Physics, 335, pp. 637-670. (doi: 10.1007/s00220-014-2264-x)

Li, X., Norling, M. D. (2015) Independent resolutions for totally disconnected dynamical systems I: algebraic case Journal of Algebra, 424, pp. 98-125. (doi: 10.1016/j.jalgebra.2014.10.043)

Bhowmick, J., Voigt, C., Zacharias, J. (2015) Compact quantum metric spaces from quantum groups of rapid decay Journal of Noncommutative Geometry, 9, pp. 1175-1200. (doi: 10.4171/JNCG/220)

Voigt, C., Yuncken, R. (2015) Equivariant Fredholm modules for the full quantum flag manifold of SUq(3) Documenta Mathematica, 20, pp. 433-490.

Cuntz, J., Echterhoff, S., Li, X. (2015) On the K-theory of the C*-algebra generated by the left regular representation of an Ore semigroup Journal of the European Mathematical Society, 17, pp. 645-687. (doi: 10.4171/JEMS/513)

2014

Li, X. (2014) On K-theoretic invariants of semigroup C*-algebras attached to number fields Advances in Mathematics, 264, pp. 371-395. (doi: 10.1016/j.aim.2014.07.014)

Frettlöh, D., Whitehead, B., Whittaker, M. (2014) Cohomology of the pinwheel tiling Journal of the Australian Mathematical Society, 97, pp. 162-179. (doi: 10.1017/S1446788714000275)

Laca, M., Raeburn, I., Ramagge, J., Whittaker, M. (2014) Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions Journal of Functional Analysis, 266, pp. 6619-6661. (doi: 10.1016/j.jfa.2014.03.003)

Brownlowe, N., Ramagge, J., Robertson, D., Whittaker, M. (2014) Zappa–Szép products of semigroups and their C*-algebras Journal of Functional Analysis, 266, pp. 3937-3967. (doi: 10.1016/j.jfa.2013.12.025)

Voigt, C. (2014) Cyclic cohomology and Baaj-Skandalis duality Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 13, pp. 115-145. (doi: 10.1017/is013012001jkt248)

Sims, A., Whitehead, B., Whittaker, M. (2014) Twisted C*-algebras associated to finitely aligned higher-rank graphs Documenta Mathematica, 19, pp. 831-866.

2013

Li, X. (2013) Nuclearity of semigroup C*-algebras and the connection to amenability Advances in Mathematics, 244, pp. 626-662. (doi: 10.1016/j.aim.2013.05.016)

Cuntz, J., Echterhoff, S., Li, X. (2013) On the k-Theory of crossed products by automorphic semigroup actions Quarterly Journal of Mathematics, 64, pp. 747-784. (doi: 10.1093/qmath/hat021)

Vergnioux, R., Voigt, C. (2013) The K-theory of free quantum groups Mathematische Annalen, 357, pp. 355-400. (doi: 10.1007/s00208-013-0902-9)

Larsen, N. S., Li, X. (2013) Dilations of semigroup crossed products as crossed products of dilations Proceedings of the American Mathematical Society, 141, pp. 1597-1603. (doi: 10.1090/S0002-9939-2013-11475-9)

Hawkins, A., Skalski, A., White, S., Zacharias, J. (2013) On spectral triples on crossed products arising from equicontinuous actions Mathematica Scandinavica, 113, pp. 262-291.

Whittaker, M. (2013) Spectral triples for hyperbolic dynamical systems Journal of Noncommutative Geometry, 7, pp. 563-582. (doi: 10.4171/JNCG/127)

2012

Li, X., Lück, W. (2012) K-theory for ring c*-algebras: the case of number fields with higher roots of unity Journal of Topology and Analysis, 4, pp. 449-479. (doi: 10.1142/S1793525312500203)

Li, X. (2012) K-theory for ring C*-algebras attached to function fields with only one infinite place Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 10, pp. 203-231. (doi: 10.1017/is011011023jkt177)

Li, X. (2012) Semigroup C⁎-algebras and amenability of semigroups Journal of Functional Analysis, 262, pp. 4302-4340. (doi: 10.1016/j.jfa.2012.02.020)

Larsen, N. S., Li, X. (2012) The 2-adic ring C*-algebra of the integers and its representations Journal of Functional Analysis, 262, pp. 1392-1426. (doi: 10.1016/j.jfa.2011.11.008)

Voigt, C. (2012) Quantum SU(2) and the Baum-Connes conjecture Banach Centre Publications, 98, pp. 417-432. (doi: 10.4064/bc98-0-17)

2011

Frank, N. P., Whittaker, M. (2011) A fractal version of the pinwheel tiling Mathematical Intelligencer, 33, pp. 7-17. (doi: 10.1007/s00283-011-9212-9)

Cuntz, J., Li, X. (2011) C*-algebras associated with integral domains and crossed products by actions on adele spaces Journal of Noncommutative Geometry, 5, pp. 1-37. (doi: 10.4171/JNCG/68)

Cuntz, J., Li, X. (2011) K-theory for ring C-algebras attached to polynomial rings over finite fields Journal of Noncommutative Geometry, 5, pp. 331-349. (doi: 10.4171/JNCG/78)

Voigt, C. (2011) The Baum-Connes conjecture for free orthogonal quantum groups Advances in Mathematics, 227, pp. 1873-1913. (doi: 10.1016/j.aim.2011.04.008)

2010

Li, X. (2010) Ring C*-algebras Mathematische Annalen, 348, pp. 859-898. (doi: 10.1007/s00208-010-0502-x)

Winter, W., Zacharias, J. (2010) The nuclear dimension of C*-algebras Advances in Mathematics, 224, pp. 461-498. (doi: 10.1016/j.aim.2009.12.005)

Skalski, A., Zacharias, J. (2010) Approximation properties and entropy estimates for crossed products by actions of amenable discrete quantum groups Journal of the London Mathematical Society, 82, pp. 184-202. (doi: 10.1112/jlms/jdq023)

Whittaker, M. (2010) C*-algebras of tilings with infinite rotational symmetry Journal of Operator Theory, 64, pp. 299-319.

Nest, R., Voigt, C. (2010) Equivariant Poincaré duality for quantum group actions Journal of Functional Analysis, 258, pp. 1466-1503. (doi: 10.1016/j.jfa.2009.10.015)

Skalski, A., Zacharias, J. (2010) On approximation properties of Pimsner algebras and crossed products by Hilbert bimodules Rocky Mountain Journal of Mathematics, 40, pp. 609-625.

Skalski, A., Zacharias, J. (2010) Poisson transform for higher-rank graph algebras and its applications Journal of Operator Theory, 63, pp. 425-454.

Cuntz, J., Li, X. (2010) The regular C*-algebra of an integral domain American Mathematical Society ; Clay Mathematics Institute

2009

Skalski, A., Zacharias, J. (2009) A note on spectral triples and quasidiagonality Expositiones Mathematicae, 27, pp. 137-141. (doi: 10.1016/j.exmath.2008.10.007)

Voigt, C. (2009) Chern character for totally disconnected groups Mathematische Annalen, 343, pp. 507-540. (doi: 10.1007/s00208-008-0281-9)

Winter, W., Zacharias, J. (2009) Completely positive maps of order zero Munster Journal of Mathematics, 2, pp. 311-324.

2008

Voigt, C. (2008) A new description of equivariant cohomology for totally disconnected groups Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 1, pp. 431-472. (doi: 10.1017/is007011019jkt020)

Voigt, C. (2008) Bornological quantum groups Pacific Journal of Mathematics, 235, pp. 93-135. (doi: 10.2140/pjm.2008.235.93)

Skalski, A., Zacharias, J. (2008) Entropy of shifts on higher-rank graph C*-algebras Houston Journal of Mathematics, 34, pp. 269-282.

Voigt, C. (2008) Equivariant cyclic homology for quantum groups

Skalski, A., Zacharias, J. (2008) Noncommutative topological entropy of endomorphisms of Cuntz algebras Letters in Mathematical Physics, 86, pp. 115-134. (doi: 10.1007/s11005-008-0279-y)

Skalski, A., Zacharias, J. (2008) Wold decomposition for representations of product systems of C* corrrespondences International Journal of Mathematics, 19, pp. 455-479. (doi: 10.1142/S0129167X08004765)

2007

Voigt, C. (2007) Equivariant local cyclic homology and the equivariant Chern-Connes character Documenta Mathematica, 12, pp. 313-359 (electronic).

Voigt, C. (2007) Equivariant periodic cyclic homology Journal of the Institute of Mathematics of Jussieu, 6, pp. 689-763. (doi: 10.1017/S1474748007000102)

2006

Bhat, B.V.R., Dey, S., Zacharias, J. (2006) Minimal Cuntz-Krieger dilations and representations of Cuntz-Krieger algebras Proceedings Mathematical Sciences, 116, pp. 193-220. (doi: 10.1007/BF02829787)

2005

Popescu, I., Zacharias, J. (2005) E-theoretic duality for higher rank graph algebras K-Theory, 34, pp. 265-282. (doi: 10.1007/s10977-005-5544-6)

Zacharias, J. (2005) Topological entropy of quotients and extensions World Scientific

2003

Hirshberg, I., Zacharias, J. (2003) On the structure of spectral algebras and their generalizations American Mathematical Society

2001

Zacharias, J. (2001) Endomorphisms of continuous Cuntz algebras Journal of Operator Theory, 46, pp. 561-577.

Zacharias, J. (2001) Splitting for subalgebras of tensor products Proceedings of the American Mathematical Society, 129, pp. 407-413.

2000

Zacharias, J. (2000) Pure infiniteness of spectral algebras Journal of Functional Analysis, 178, pp. 381-395. (doi: 10.1006/jfan.2000.3661)

Zacharias, J. (2000) Continuous Tensor Products and Arveson's Spectral C*-algebras American Mathematical Society

Zacharias, J. (2000) Quasi free automorphisms of Cuntz-Krieger-Pimsner-algebras Springer

Geometry & Topology

Staff

Publications

2021

Gadre, V. (2021) Trimmed sums of twists and the area Siegel-Veech constant Manuscripta Mathematica, 166, pp. 91-99. (doi: 10.1007/s00229-020-01226-x)

Bellamy, G., Brown, R., Cleland Woods, H., Labrosse, N., Senn, H., Singer, J., Vezza, M. (2021) Togetherness: the central tenet of an effective institutional online pivot Journal of Perspectives in Applied Academic Practice, 9, pp. 82-90. (doi: 10.14297/jpaap.v9i2.491)

Feigin, M. V., Hallnäs, M. A., Veselov, A. P. (2021) Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence Communications in Mathematical Physics, 386, pp. 107-141. (doi: 10.1007/s00220-021-04036-8)

Brannan, M., Eifler, K., Voigt, C., Weber, M. (2021) Quantum Cuntz-Krieger algebras Transactions of the American Mathematical Society,

Bellamy, G., Schedler, T. (2021) Symplectic resolutions of quiver varieties Selecta Mathematica, 27, (doi: 10.1007/s00029-021-00647-0)

Balmer, P., Stevenson, G. (2021) Relative stable categories and birationality Journal of the London Mathematical Society, (doi: 10.1112/jlms.12474)

Bédaride, N., Gähler, F., Lecuona, A. G. (2021) Cohomology Groups for Spaces of Twelve-Fold Tilings International Mathematics Research Notices, (doi: 10.1093/imrn/rnab117)

Bellamy, G., Gunningham, S., Raskin, S. (2021) Projective generation for equivariant D-modules Transformation Groups, (doi: 10.1007/s00031-021-09660-1)

Voigt, C., Yuncken, R. (2021) The Plancherel formula for complex semisimple quantum groups Annales Scientifiques de l'École Normale Supérieure,

Brown, K., Tabiri, A. A. (2021) Plane curves which are quantum homogenous spaces Algebras and Representation Theory, (doi: 10.1007/s10468-021-10052-y)

Bellamy, G., Boos, M. (2021) Semisimplicity of the category of admissible D-modules Kyoto Journal of Mathematics, 61, pp. 115-170. (doi: 10.1215/21562261-2020-0006)

Voigt, C. (2021) On the assembly map for complex semisimple quantum groups International Mathematics Research Notices, (doi: 10.1093/imrn/rnaa370)

Stedman, R., Strachan, I. A.B. (2021) Extended ⋁-systems and trigonometric solutions to the WDVV equations Journal of Mathematical Physics, 62, (doi: 10.1063/5.0024108)

Bell, M., Delecroix, V., Gadre, V., Gutiérrez-Romo, R., Schleimer, S. (2021) The flow group of rooted abelian or quadratic differentials arXiv,

Strachan, I. A.B., Bridgeland, T. (2021) Complex hyperkähler structures defined by Donaldson–Thomas invariants Letters in Mathematical Physics, 111, (doi: 10.1007/s11005-021-01388-z)

2020

Alkadhem, M., Feigin, M. (2020) Trigonometric V-systems and solutions of WDVV equations Journal of Physics A: Mathematical and Theoretical, 54, (doi: 10.1088/1751-8121/abccf8)

Azemar, A., Gadre, V., Jeffreys, L. (2020) Statistical hyperbolicity for harmonic measure International Mathematics Research Notices, (doi: 10.1093/imrn/rnaa277)

Gratz, S., Stevenson, G. (2020) Homotopy invariants of singularity categories Journal of Pure and Applied Algebra, 224, (doi: 10.1016/j.jpaa.2020.106433)

Gadre, V. (2020) Weil--Petersson geodesics on the modular surface arXiv,

Bellamy, G., Craw, A. (2020) Birational geometry of symplectic quotient singularities Inventiones Mathematicae, 222, pp. 399-468. (doi: 10.1007/s00222-020-00972-9)

Uuye, O., Zacharias, J. (2020) The Fubini product and its applications Bulletin of the Malaysian Mathematical Sciences Society, 43, pp. 4041-4061. (doi: 10.1007/s40840-020-00909-8)

Antoun, J., Voigt, C. (2020) On bicolimits of C*-categories Theory and Applications of Categories, 35, pp. 1683-1725.

Améndola, C., Kosta, D., Kubjas, K. (2020) Maximum likelihood estimation of toric Fano varieties Algebraic Statistics, 11, pp. 5-30. (doi: 10.2140/astat.2020.11.5)

Mampusti, M., Whittaker, M. F. (2020) An aperiodic monotile that forces nonperiodicity through dendrites Bulletin of the London Mathematical Society, 52, pp. 942-959. (doi: 10.1112/blms.12375)

Dao, H., Iyama, O., Takahashi, R., Wemyss, M. (2020) Gorenstein modifications and Q-Gorenstein rings Journal of Algebraic Geometry, 29, pp. 729-751. (doi: 10.1090/jag/760)

Bartel, A., Lenstra Jr., H. W. (2020) On class groups of random number fields Proceedings of the London Mathematical Society, 121, pp. 927-953. (doi: 10.1112/plms.12343)

Easo, P., Garijo, E., Kaubrys, S., Nkansah, D., Vrabec, M., Watt, D., Wilson, C., Bönicke, C., Evington, S., Forough, M., Girón Pacheco, S., Seaton, N., White, S., Whittaker, M. F., Zacharias, J. (2020) The Cuntz-Toeplitz algebras have nuclear dimension one Journal of Functional Analysis, 279, (doi: 10.1016/j.jfa.2020.108690)

Voigt, C., Yuncken, R. (2020) Complex Semisimple Quantum Groups and Representation Theory Springer

Athorne, C. (2020) Equivariance and algebraic relations for curves Journal of Geometry and Physics, 155, (doi: 10.1016/j.geomphys.2020.103748)

Gadre, V., Maher, J. (2020) Recurrence of quadratic differentials for harmonic measure Mathematical Proceedings of the Cambridge Philosophical Society, 169, pp. 299-305. (doi: 10.1017/S0305004119000185)

Owens, B. (2020) Smooth, nonsymplectic embeddings of rational balls in the complex projective plane Quarterly Journal of Mathematics, 71, pp. 997-1007. (doi: 10.1093/qmathj/haaa013)

Gadre, V., Matheus, C. (2020) Cusp excursions of random geodesics in Weil-Petersson type metrics Journal of Differential Geometry,

Alkadhem, M., Antoniou, G., Feigin, M. (2020) Solutions of BCn type of WDVV equations American Mathematical Society

Baird, N., Shah, T. B., Clacy, A., Gerontogiannis, D., Mackenzie, J., Nkansah, D., Quinn, J., Spencer-Wood, H., Thomson, K., Wilson, A. (2020) maths inside Resource Suite with Interdisciplinary Learning Activities (doi: 10.36399/gla.pubs.234071)

Kosta, D., Thoma, A. (2020) Unboundedness of Markov complexity of monomial curves in An for n ≥ 4 Journal of Pure and Applied Algebra, 224, (doi: 10.1016/j.jpaa.2019.106249)

Ardiyansyah, M., Kosta, D., Kubjas, K. (2020) Model embeddability for symmetric group-based models arXiv,

Greenlees, J.P.C., Stevenson, G. (2020) Morita theory and singularity categories Advances in Mathematics, 365, (doi: 10.1016/j.aim.2020.107055)

Bellamy, G., Boos, M. (2020) The (cyclic) enhanced nilpotent cone via quiver representations Manuscripta Mathematica, 161, pp. 333-362. (doi: 10.1007/s00229-018-1098-9)

Balmer, P., Krause, H., Stevenson, G. (2020) The frame of smashing tensor-ideals Mathematical Proceedings of the Cambridge Philosophical Society, 168, pp. 323-343. (doi: 10.1017/S0305004118000725)

Iyama, O., Wemyss, M. (2020) Weighted projective lines and rational surface singularities Épijournal de Géométrie Algébrique, 3,

2019

Bellamy, G. (2019) Rational Cherednik algebras and Schubert cells Algebras and Representation Theory, 22, pp. 1533-1567. (doi: 10.1007/s10468-018-9831-3)

Bellamy, G., Schedler, T. (2019) On symplectic resolutions and factoriality of Hamiltonian reductions Mathematische Annalen, 375, pp. 165-176. (doi: 10.1007/s00208-019-01851-2)

Athorne, C. (2019) Equivariance in the Theory of Higher Genus ℘-Functions (doi: 10.1063/1.5125069)

Bell, M., Delecroix, V., Gadre, V., Gutierrez-Romo, R., Schleimer, S. (2019) Coding Teichmuller flow using veering triangulations arXiv,

Bosa, J., Tornetta, G., Zacharias, J. (2019) A bivariant theory for the Cuntz semigroup Journal of Functional Analysis, 277, pp. 1061-1111. (doi: 10.1016/j.jfa.2019.05.002)

Szabo, G., Wu, J., Zacharias, J. (2019) Rokhlin dimension for actions of residually finite groups Ergodic Theory and Dynamical Systems, 39, pp. 2248-2304. (doi: 10.1017/etds.2017.113)

Dubrovin, B., Strachan, I. A.B., Zhang, Y., Zuo, D. (2019) Extended affine Weyl groups of BCD-type: their Frobenius manifolds and their Landau-Ginzburg superpotentials Advances in Mathematics, 351, pp. 897-946. (doi: 10.1016/j.aim.2019.05.030)

Wilson, A., McEwan, M. (2019) Playfulness in Higher Education

Wilson, A., McEwan, M. (2019) Embedding Play in Mathematics: Building an Evidence Base

Feigin, M., Vrabec, M. (2019) Intertwining operator for AG2 Calogero-Moser-Sutherland system Journal of Mathematical Physics, 60, (doi: 10.1063/1.5090274)

Donovan, W., Wemyss, M. (2019) Contractions and deformations American Journal of Mathematics, 141, pp. 563-592. (doi: 10.1353/ajm.2019.0018)

Athorne, C., Yilmaz, H. (2019) Twisted laplace maps Journal of Physics A: Mathematical and Theoretical, 52, (doi: 10.1088/1751-8121/ab1926)

Wilson, A., McEwan, M. (2019) Embedding Play in Higher Education: Building an Evidence Base

Bartel, A., Spencer, M. (2019) Relations between permutation representations in positive characteristic Bulletin of the London Mathematical Society, 51, pp. 293-308. (doi: 10.1112/blms.12230)

Brown, K., Carvalho, P. A.A.B., Matczuk, J. (2019) Simple modules and their essential extensions for skew polynomial rings Mathematische Zeitschrift, 291, pp. 877-903. (doi: 10.1007/s00209-018-2128-8)

Baland, S., Stevenson, G. (2019) Comparisons between singularity categories and relative stable categories of finite groups Journal of Pure and Applied Algebra, 223, pp. 948-964. (doi: 10.1016/j.jpaa.2018.05.008)

Balmer, P., Krause, H., Stevenson, G. (2019) Tensor-triangular fields: ruminations Selecta Mathematica - New Series, 25, (doi: 10.1007/s00029-019-0454-2)

Donovan, W., Wemyss, M. (2019) Noncommutative enhancements of contractions Advances in Mathematics, 344, pp. 99-136. (doi: 10.1016/j.aim.2018.11.019)

Antoniou, G., Feigin, M. (2019) Supersymmetric V-systems Journal of High Energy Physics, 2019, (doi: 10.1007/JHEP02(2019)115)

Monk, A., Voigt, C. (2019) Complex quantum groups and a deformation of the Baum-Connes assembly map Transactions of the American Mathematical Society, 371, pp. 8849-8877. (doi: 10.1090/tran/7774)

Donovan, W., Wemyss, M. (2019) Twists and braids for general 3-fold flops Journal of the European Mathematical Society, 21, pp. 1641-1701. (doi: 10.4171/JEMS/868)

Kosta, D., Kubjas, K. (2019) Maximum likelihood estimation of symmetric group-based models via numerical algebraic geometry Bulletin of Mathematical Biology, 81, pp. 337-360. (doi: 10.1007/s11538-018-0523-2)

Dao, H., Iyama, O., Iyengar, S. B., Takahashi, R., Wemyss, M., Yoshino, Y. (2019) Noncommutative resolutions using syzygies Bulletin of the London Mathematical Society, 51, pp. 43-48. (doi: 10.1112/blms.12210)

Baland, S., Chirvasitu, A., Stevenson, G. (2019) The prime spectra of relative stable module categories Transactions of the American Mathematical Society, 371, pp. 489-503. (doi: 10.1090/tran/7297)

Kutluhan, C., Matic, G., Van Horn-Morris, J., Wand, A. (2019) A Heegaard Floer analog of algebraic torsion (doi: 10.1090/pspum/102)

Strachan, I. A.B. (2019) A construction of multidimensional Dubrovin-Novikov brackets Journal of Nonlinear Mathematical Physics, 26, pp. 202-213. (doi: 10.1080/14029251.2019.1591716)

Lecuona, A. G. (2019) Complementary legs and rational balls Michigan Mathematical Journal, 68, pp. 637-649.

Brown, K.A., Gilmartin, P., Zhang, J.J. (2019) Connected (graded) Hopf algebras Transactions of the American Mathematical Society, 372, pp. 3283-3317. (doi: 10.1090/tran/7686)

Bartel, A., Page, A. (2019) Group representations in the homology of 3-manifolds Commentarii Mathematici Helvetici, 94, pp. 67-88. (doi: 10.4171/CMH/455)

Brendle, T. E., Margalit, D. (2019) Normal subgroups of mapping class groups and the metaconjecture of Ivanov Journal of the American Mathematical Society, 32, pp. 1009-1070. (doi: 10.1090/jams/927)

2018

Brown, K.A., Yakimov, M.T. (2018) Azumaya loci and discriminant ideals of PI algebras Advances in Mathematics, 340, pp. 1219-1255. (doi: 10.1016/j.aim.2018.10.024)

Gratz, S., Stevenson, G. (2018) On the graded dual numbers, arcs, and non-crossing partitions of the integers Journal of Algebra, 515, pp. 360-388. (doi: 10.1016/j.jalgebra.2018.08.023)

Deeley, R., Goffeng, M., Mesland, B., Whittaker, M. F. (2018) Wieler solenoids, Cuntz-Pimsner algebras and K-theory Ergodic Theory and Dynamical Systems, 38, pp. 2942-2988. (doi: 10.1017/etds.2017.10)

Brendle, T., Margalit, D. (2018) Erratum to: Commensurations of the Johnson kernel Geometry and Topology, (doi: 10.2140/gt.2004.8.1361)

Gadre, V., Maher, J. (2018) The stratum of random mapping classes Ergodic Theory and Dynamical Systems, 38, pp. 2666-2682. (doi: 10.1017/etds.2016.132)

Brown, K. A., Zhang, J. J. (2018) Unimodular graded Poisson Hopf algebras Bulletin of the London Mathematical Society, 50, pp. 887-898. (doi: 10.1112/blms.12194)

Owens, B. (2018) Equivariant embeddings of rational homology balls Quarterly Journal of Mathematics, 69, pp. 1101-1121. (doi: 10.1093/qmath/hay016)

Hirano, Y., Wemyss, M. (2018) Faithful actions from hyperplane arrangements Geometry and Topology, 22, pp. 3395-3433. (doi: 10.2140/gt.2018.22.3395)

Aceto, P., Golla, M., Lecuona, A. G. (2018) Handle decompositions of rational homology balls and Casson–Gordon invariants Proceedings of the American Mathematical Society, 146, pp. 4059-4072. (doi: 10.1090/proc/14035)

Wilson, A. (2018) *maths inside* Maths Week Scotland 2018 Photograph Competition

Lecuona, A. G. (2018) A note on graphs and rational balls Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas, 112, pp. 705-716. (doi: 10.1007/s13398-017-0464-x)

Brown, G., Wemyss, M. (2018) Gopakumar--Vafa invariants do not determine flops Communications in Mathematical Physics, 361, pp. 143-154. (doi: 10.1007/s00220-017-3038-z)

Laca, M., Raeburn, I., Ramagge, J., Whittaker, M. F. (2018) Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs Advances in Mathematics, 331, pp. 268-325. (doi: 10.1016/j.aim.2018.03.030)

Bellamy, G., Thiel, U. (2018) Highest weight theory for finite-dimensional graded algebras with triangular decomposition Advances in Mathematics, 330, pp. 361-419. (doi: 10.1016/j.aim.2018.03.011)

Iyama, O., Wemyss, M. (2018) Reduction of triangulated categories and Maximal Modification Algebras for cA_n singularities Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2018, pp. 149-202. (doi: 10.1515/crelle-2015-0031)

Audoux, B., Lecuona, A. G., Roukema, F. (2018) On hyperbolic knots in S³ with exceptional surgeries at maximal distance Algebraic and Geometric Topology, 18, pp. 2371-2417. (doi: 10.2140/agt.2018.18.2371)

Feigin, M. V., Veselov, A. P. (2018) ∨-systems, holonomy lie algebras, and logarithmic vector fields International Mathematics Research Notices, 2018, pp. 2070-2098. (doi: 10.1093/imrn/rnw289)

Stevenson, G. (2018) Filtrations via tensor actions International Mathematics Research Notices, 2018, pp. 2535-2558. (doi: 10.1093/imrn/rnw325)

Wilson, A.J. (2018) Embedding Play in Higher Education

Stevenson, G. (2018) A tour of support theory for triangulated categories through Tensor triangular geometry Birkhäuser

Chachólski, W., Dyckerhoff, T., Greenlees, J., Stevenson, G. (2018) Building Bridges Between Algebra and Topology Birkhäuser

Bellamy, G., Schedler, T. (2018) Filtrations on Springer fiber cohomology and Kostka polynomials Letters in Mathematical Physics, 108, pp. 679-698. (doi: 10.1007/s11005-017-1002-7)

Athorne, C. (2018) Laplace maps and constraints for a class of third order partial differential operators Journal of Physics A: Mathematical and Theoretical, 51, (doi: 10.1088/1751-8121/aaa475)

Wemyss, M. (2018) Flops and clusters in the homological minimal model programme Inventiones Mathematicae, 211, pp. 435-521. (doi: 10.1007/s00222-017-0750-4)

Bosa, J., Tornetta, G., Zacharias, J. (2018) Open projections and suprema in the Cuntz semigroup Mathematical Proceedings of the Cambridge Philosophical Society, 164, pp. 135-146. (doi: 10.1017/S030500411600089X)

Athorne, C. (2018) Fifty years of mathematical physics: selected works of Ludwig Fadeev Contemporary Physics, 59, pp. 421. (doi: 10.1080/00107514.2018.1538165)

Athorne, C. (2018) Fractals in probability and analysis Contemporary Physics, 59, pp. 429. (doi: 10.1080/00107514.2018.1559228)

Bellamy, G., Schedler, T., Thiel, U. (2018) Hyperplane arrangements associated to symplectic quotient singularities Banach Centre Publications, 116, pp. 25-45. (doi: 10.4064/bc116-2)

Cave, C., Zacharias, J. (2018) Kirchberg-Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case Münster Journal of Mathematics, 11, pp. 217-224. (doi: 10.17879/87109577544)

Brendle, T. E., Margalit, D. (2018) The level four braid group Journal für die Reine und Angewandte Mathematik (Crelles Journal), 735, pp. 249-264. (doi: 10.1515/crelle-2015-0032)

2017

Dell’Ambrogio, I., Stevenson, G., Šťovíček, J. (2017) Gorenstein homological algebra and universal coefficient theorems Mathematische Zeitschrift, 287, pp. 1109-1155. (doi: 10.1007/s00209-017-1862-7)

Brown, K. A., Macleod, M. J. (2017) The Cohen Macaulay property for noncommutative rings Algebras and Representation Theory, 20, pp. 1433-1465. (doi: 10.1007/s10468-017-9694-z)

Voigt, C. (2017) On the structure of quantum automorphism groups Journal für die Reine und Angewandte Mathematik (Crelles Journal), 732, pp. 255-273. (doi: 10.1515/crelle-2014-0141)

Kaminker, J., Putnam, I. F., Whittaker, M. F. (2017) K-theoretic duality for hyperbolic dynamical systems Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2017, pp. 263-299. (doi: 10.1515/crelle-2014-0126)

Bellamy, G., Dodd, C., McGerty, K., Nevins, T. (2017) Categorical cell decomposition of quantized symplectic algebraic varieties Geometry and Topology, 21, pp. 2601-2681. (doi: 10.2140/gt.2017.21.2601)

Bartel, A., Spencer, M. (2017) A note on Green functors with inflation Journal of Algebra, 483, pp. 230-244. (doi: 10.1016/j.jalgebra.2017.03.031)

Bellamy, G., Ginzburg, V. (2017) SL2-action on Hilbert Schemes and Calogero-Moser spaces Michigan Mathematical Journal, 66, pp. 519-532. (doi: 10.1307/mmj/1496995337)

Brendle, T., Childers, L., Margalit, D. (2017) Mapping class groups Princeton University Press

Strachan, I. A.B., Zuo, D. (2017) Frobenius manifolds and Frobenius algebra-valued integrable systems Letters in Mathematical Physics, 107, pp. 997-1026. (doi: 10.1007/s11005-017-0939-x)

Brownlowe, N., Pask, D., Ramagge, J., Robertson, D., Whittaker, M. (2017) Zappa-Szép product groupoids and C*-blends Semigroup Forum, 94, pp. 500-519. (doi: 10.1007/s00233-016-9775-z)

Brownlowe, N., Carlsen, T. M., Whittaker, M. (2017) Graph algebras and orbit equivalence Ergodic Theory and Dynamical Systems, 37, pp. 389-417. (doi: 10.1017/etds.2015.52)

Degtyarev, A., Florens, V., Lecuona, A. G. (2017) The signature of a splice International Mathematics Research Notices, 2017, pp. 2249-2283. (doi: 10.1093/imrn/rnw068)

Barlak, S., Szabo, G., Voigt, C. (2017) The spatial Rokhlin property for actions of compact quantum groups Journal of Functional Analysis, 272, pp. 2308-2360. (doi: 10.1016/j.jfa.2016.09.023)

Strachan, I. A.B., Stedman, R. (2017) Generalized Legendre transformations and symmetries of the WDVV equations Journal of Physics A: Mathematical and Theoretical, 50, (doi: 10.1088/1751-8121/aa58b2)

Stevenson, G. (2017) The local-to-global principle for triangulated categories via dimension functions Journal of Algebra, 473, pp. 406-429. (doi: 10.1016/j.jalgebra.2016.12.002)

Hawkins, A., Zacharias, J. (2017) Spectral metric spaces on extensions of C*-algebras Communications in Mathematical Physics, 350, pp. 475-506. (doi: 10.1007/s00220-016-2820-7)

Bartel, A., Lenstra, H. W. (2017) Commensurability of automorphism groups Compositio Mathematica, 153, pp. 323-346. (doi: 10.1112/S0010437X1600823X)

Mampusti, M., Whittaker, M. F. (2017) Fractal spectral triples on Kellendonk's C*-algebra of a substitution tiling Journal of Geometry and Physics, 112, pp. 224-239. (doi: 10.1016/j.geomphys.2016.11.010)

Steen, J., Stevenson, G. (2017) Enrichment and representability for triangulated categories Documenta Mathematica, 22, pp. 1031-1062.

Gadre, V. (2017) Partial sums of excursions along random geodesics and volume asymptotics for thin parts of moduli spaces of quadratic differentials Journal of the European Mathematical Society, 19, pp. 3053-3089. (doi: 10.4171/JEMS/735)

Gadre, V., Maher, J., Tiozzo, G. (2017) Word length statistics for Teichmuller geodesics and singularity of harmonic measure Commentarii Mathematici Helvetici, 92, pp. 1-36. (doi: 10.4171/CMH/404)

2016

Bartel, A., Page, A. (2016) Torsion homology and regulators of isospectral manifolds Journal of Topology, 9, pp. 1237-1256. (doi: 10.1112/jtopol/jtw023)

Feigin, M. (2016) The Hilbert series of Λr,s(m). Appendix in Etingof, P., Rains, E. On Cohen–Macaulayness of algebras generated by generalized power sums Communications in Mathematical Physics, 347, pp. 163-182. (doi: 10.1007/s00220-016-2657-0)

Bellamy, G., Thiel, U. (2016) Cuspidal Calogero-Moser and Lusztig families for Coxeter groups Journal of Algebra, 462, pp. 197-252. (doi: 10.1016/j.jalgebra.2016.06.003)

Deeley, R., Killough, D. B., Whittaker, M. (2016) Dynamical correspondences for Smale spaces New York Journal of Mathematics, 22, pp. 943-988.

Deeley, R. J., Killough, D. B., Whittaker, M. F. (2016) Functorial properties of Putnam's homology theory for Smale spaces Ergodic Theory and Dynamical Systems, 36, pp. 1411-1440. (doi: 10.1017/etds.2014.134)

Antieau, B., Stevenson, G. (2016) Derived categories of representations of small categories over commutative noetherian rings Pacific Journal of Mathematics, 283, pp. 21-42. (doi: 10.2140/pjm.2016.283.21)

Athorne, C. (2016) Fundamental principles of classical mechanics: a geometrical perspective Contemporary Physics, 57, pp. 238-241. (doi: 10.1080/00107514.2015.1048299)

Athorne, C., Yilmaz, H. (2016) Invariants of hyperbolic partial differential operators Journal of Physics A: Mathematical and Theoretical, 49, (doi: 10.1088/1751-8113/49/13/135201)

Bartel, A., Dokchitser, T. (2016) Rational representations and permutation representations of finite groups Mathematische Annalen, 364, pp. 539-558. (doi: 10.1007/s00208-015-1223-y)

Bellamy, G. (2016) Counting resolutions of symplectic quotient singularities Compositio Mathematica, 152, pp. 99-114. (doi: 10.1112/S0010437X15007630)

Adler, V.E., Berest, Y. Y., Buchstaber, V.M., Grinevich, P.G., Dubrovin, B.A., Krichever, I.M., Novikov, S.P., Sergeev, A.N., Feigin, M.V., Felder, G., Ferapontov, E.V., Chalykh, O.A., Etingof, P.I. (2016) Alexander Petrovich Veselov (on his 60th birthday) Russian Mathematical Surveys, 71, pp. 1159-1176. (doi: 10.1070/RM9734)

Frank, N. P., Webster, S. B.G., Whittaker, M. (2016) Fractal dual substitution tilings Journal of Fractal Geometry, 3, pp. 265-317. (doi: 10.4171/JFG/37)

Owens, B., Strle, S. (2016) Immersed disks, slicing numbers and concordance unknotting numbers Communications in Analysis and Geometry, 24, pp. 1107-1138. (doi: 10.4310/CAG.2016.v24.n5.a8)

Bellamy, G., Rogalski, D., Schedler, T., Stafford, J. T., Wemyss, M. (2016) Noncommutative Algebraic Geometry Cambridge University Press

Donovan, W., Wemyss, M. (2016) Noncommutative deformations and flops Duke Mathematical Journal, 165, pp. 1397-1474. (doi: 10.1215/00127094-3449887)

Bellamy, G., Schedler, T. (2016) On the (non)existence of symplectic resolutions of linear quotients Mathematical Research Letters, 23, pp. 1537-1564. (doi: 10.4310/MRL.2016.v23.n6.a1)

Baker, K. L., Buck, D., Lecuona, A. G. (2016) Some knots in S¹ x S² with lens space surgeries Communications in Analysis and Geometry, 24, pp. 431-470. (doi: 10.4310/CAG.2016.v24.n3.a1)

Gadre, V., Schleimer, S. (2016) The curves not carried Groups, Geometry and Dynamics, 10, pp. 1249-1264. (doi: 10.4171/GGD/382)

Kumjian, A., Pask, D., Sims, A., Whittaker, M. F. (2016) Topological spaces associated to higher-rank graphs Journal of Combinatorial Theory, Series A, 143, pp. 19-41. (doi: 10.1016/j.jcta.2016.04.005)

2015

Wand, A. (2015) Detecting tightness via open book decompositions Geometry and Topology Monographs, 19, pp. 291-317. (doi: 10.2140/gtm.2015.19.291)

Nagel, M., Owens, B. (2015) Unlinking information from 4-manifolds Bulletin of the London Mathematical Society, 47, pp. 964-979. (doi: 10.1112/blms/bdv072)

Strachan, I. A.B., Zuo, D. (2015) Integrability of the Frobenius algebra-valued Kadomtsev-Petviashvili hierarchy Journal of Mathematical Physics, 56, (doi: 10.1063/1.4935936)

Feigin, M., Hakobyan, T. (2015) On Dunkl angular momenta algebra Journal of High Energy Physics, 2015, (doi: 10.1007/JHEP11(2015)107)

Wand, A. (2015) Factorizations of diffeomorphisms of compact surfaces with boundary Geometry and Topology, 19, pp. 2407-2464. (doi: 10.2140/gt.2015.19.2407)

Lecuona, A. G. (2015) On the slice-ribbon conjecture for pretzel knots Algebraic and Geometric Topology, 15, pp. 2133-2173. (doi: 10.2140/agt.2015.15.2133)

Brendle, T. E., Margalit, D. (2015) Factoring in the hyperelliptic Torelli group Mathematical Proceedings of the Cambridge Philosophical Society, 159, pp. 207-217. (doi: 10.1017/S0305004115000286)

Gadre, V., Maher, J., Tiozzo, G. (2015) Word length statistics and Lyapunov exponents for Fuchsian groups with cusps New York Journal of Mathematics, 21, pp. 511-531.

Steen, J., Stevenson, G. (2015) Strong generators in tensor triangulated categories Bulletin of the London Mathematical Society, 47, pp. 607-616. (doi: 10.1112/blms/bdv037)

Brown, K.A., O'Hagan, S., Zhang, J.J., Zhuang, G. (2015) Connected Hopf algebras and iterated Ore extensions Journal of Pure and Applied Algebra, 219, pp. 2405-2443. (doi: 10.1016/j.jpaa.2014.09.007)

Brown, K., Gilmartin, P. (2015) Quantum homogeneous spaces of connected Hopf algebras Journal of Algebra, 454, pp. 400-432.

Wand, A. (2015) Surgery and Tightness in Contact 3-Manifolds

Strachan, I., Brendle, T., Wilson, A. (2015) Online assessment and feedback: how to square the circle

Brendle, T., Margalit, D., Putman, A. (2015) Generators for the hyperelliptic Torelli group and the kernel of the Burau representation at t = -1 Inventiones Mathematicae, 200, pp. 263-310. (doi: 10.1007/s00222-014-0537-9)

Hirshberg, I., Winter, W., Zacharias, J. (2015) Rokhlin dimension and C*-dynamics Communications in Mathematical Physics, 335, pp. 637-670. (doi: 10.1007/s00220-014-2264-x)

Kalck, M., Iyama, O., Wemyss, M., Yang, D. (2015) Frobenius categories, Gorenstein algebras and rational surface singularities Compositio Mathematica, 151, pp. 502-534. (doi: 10.1112/S0010437X14007647)

Bellamy, G., Ginzburg, V. (2015) Hamiltonian reduction and nearby cycles for mirabolic D-modules Advances in Mathematics, 269, pp. 71-161. (doi: 10.1016/j.aim.2014.10.002)

Bartel, A., Dokchitser, T. (2015) Brauer relations in finite groups Journal of the European Mathematical Society, 17, pp. 2473-2512. (doi: 10.4171/JEMS/563)

Bhowmick, J., Voigt, C., Zacharias, J. (2015) Compact quantum metric spaces from quantum groups of rapid decay Journal of Noncommutative Geometry, 9, pp. 1175-1200. (doi: 10.4171/JNCG/220)

Voigt, C., Yuncken, R. (2015) Equivariant Fredholm modules for the full quantum flag manifold of SUq(3) Documenta Mathematica, 20, pp. 433-490.

Feigin, M. (2015) Propagation of sound waves Mathematical Etudes. Institute of Mathematics of the Russian Academy of Sciences

Lisca, P., Owens, B. (2015) Signatures, Heegaard Floer correction terms and quasi-alternating links Proceedings of the American Mathematical Society, 143, pp. 907-915. (doi: 10.1090/S0002-9939-2014-12265-9)

Bartel, A. (2015) Simplicity of twists of abelian varieties Acta Arithmetica, 171, pp. 15-22. (doi: 10.4064/aa171-1-2)

Athorne, C. (2015) Special functions Wiley-VCH, Verlag GmbH & Co. KGaA

Burke, J., Stevenson, G. (2015) The derived category of a graded Gorenstein ring Cambridge University Press

Wand, A. (2015) Tightness is preserved by Legendrian surgery Annals of Mathematics, 182, pp. 723-738. (doi: 10.4007/annals.2015.182.2.8)

Brown, K. A., Goodearl, K. R. (2015) Zariski topologies on stratified spectra of quantum algebras Cambridge University Press

2014

Chaika, J., Gadre, V. (2014) Every transformation is disjoint from almost every non-classical exchange Geometriae Dedicata, 173, pp. 105-127. (doi: 10.1007/s10711-013-9931-5)

Bieri, R., Kropholler, P., Owens, B. (2014) On subsets of S^n whose (n + 1)-point subsets are contained in open hemispheres New York Journal of Mathematics, 20, pp. 1021-1041.

Frettlöh, D., Whitehead, B., Whittaker, M. (2014) Cohomology of the pinwheel tiling Journal of the Australian Mathematical Society, 97, pp. 162-179. (doi: 10.1017/S1446788714000275)

David, L., Strachan, I. A.B. (2014) Symmetries of F-manifolds with eventual identities and special families of connections Annali della Scuola Normale Superiore de Pisa: Classe di Scienze, 13, pp. 641-674. (doi: 10.2422/2036-2145.201205_010)

Bellamy, G. (2014) Endomorphisms of verma modules for rational cherednik algebras Transformation Groups, 19, pp. 699-720. (doi: 10.1007/s00031-014-9281-x)

Iyama, O., Wemyss, M. (2014) Maximal modifications and Auslander–Reiten duality for non-isolated singularities Inventiones Mathematicae, 197, pp. 521-586. (doi: 10.1007/s00222-013-0491-y)

Iyama, O., Wemyss, M. (2014) Singular derived categories of -factorial terminalizations and maximal modification algebras Advances in Mathematics, 261, pp. 85-121. (doi: 10.1016/j.aim.2014.04.001)

Stevenson, G. (2014) Derived categories of absolutely flat rings Homology, Homotopy and Applications, 16, pp. 45-64. (doi: 10.4310/HHA.2014.v16.n2.a3)

Strachan, I. B., Szablikowski, B. M. (2014) Novikov algebras and a classification of multicomponent Camassa-Holm equations Studies in Applied Mathematics, 133, pp. 84-117. (doi: 10.1111/sapm.12040)

David, L., Strachan, I. A. B. (2014) tt*-geometry on the big phase space Communications in Mathematical Physics, 329, pp. 295-323. (doi: 10.1007/s00220-014-1964-6)

Feigin, M., Johnston, D. (2014) A class of Baker-Akhiezer arrangements Communications in Mathematical Physics, 328, pp. 1117-1157. (doi: 10.1007/s00220-014-1921-4)

Laca, M., Raeburn, I., Ramagge, J., Whittaker, M. (2014) Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions Journal of Functional Analysis, 266, pp. 6619-6661. (doi: 10.1016/j.jfa.2014.03.003)

Bartel, A., Dokchitser, T. (2014) Brauer relations in finite groups II: quasi-elementary groups of order paq Journal of Group Theory, 17, pp. 381-393. (doi: 10.1515/jgt-2013-0044)

Cheltsov, I., Kosta, D. (2014) Computing α-invariants of singular del Pezzo surfaces Journal of Geometric Analysis, 24, pp. 798-842. (doi: 10.1007/s12220-012-9357-6)

Stevenson, G. (2014) Duality for bounded derived categories of complete intersections Bulletin of the London Mathematical Society, 46, pp. 245-257. (doi: 10.1112/blms/bdt089)

Brownlowe, N., Ramagge, J., Robertson, D., Whittaker, M. (2014) Zappa–Szép products of semigroups and their C*-algebras Journal of Functional Analysis, 266, pp. 3937-3967. (doi: 10.1016/j.jfa.2013.12.025)

Voigt, C. (2014) Cyclic cohomology and Baaj-Skandalis duality Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 13, pp. 115-145. (doi: 10.1017/is013012001jkt248)

Bartel, A. (2014) Factor equivalence of Galois modules and regulator constants International Journal of Number Theory, 10, pp. 1-12. (doi: 10.1142/S1793042113500772)

Stevenson, G. (2014) Subcategories of singularity categories via tensor actions Compositio Mathematica, 150, pp. 229-272. (doi: 10.1112/S0010437X1300746X)

Feigin, M., Silantyev, A. (2014) Generalized Macdonald-Ruijsenaars systems Advances in Mathematics, 250, pp. 144-192. (doi: 10.1016/j.aim.2013.09.001)

Bellamy, G., Martino, M. (2014) Affinity of Cherednik algebras on projective space Algebra and Number Theory, 8, pp. 1151-1177. (doi: 10.2140/ant.2014.8.1151)

Gadre, V. (2014) Harmonic measures for distributions with finite support on the mapping class group are singular Duke Mathematical Journal, 163, pp. 309-368. (doi: 10.1215/00127094-2430368)

Brown, K., Gilmartin, P. (2014) Hopf algebras under finiteness conditions Palestine Journal of Mathematics, 3, pp. 356-365.

Sims, A., Whitehead, B., Whittaker, M. (2014) Twisted C*-algebras associated to finitely aligned higher-rank graphs Documenta Mathematica, 19, pp. 831-866.

2013

Krause, H., Stevenson, G. (2013) A note on thick subcategories of stable derived categories Nagoya Mathematical Journal, 212, pp. 87-96. (doi: 10.1215/00277630-2351125)

Bartel, A. (2013) Elliptic curves with p-Selmer growth for all p Quarterly Journal of Mathematics, 64, pp. 947-954. (doi: 10.1093/qmath/has030)

Bartel, A., de Smit, B. (2013) Index formulae for integral Galois modules Journal of the London Mathematical Society, 88, pp. 845-859. (doi: 10.1112/jlms/jdt033)

Bellamy, G., Martino, M. (2013) On the smoothness of centres of rational Cherednik algebras in positive characteristic Glasgow Mathematical Journal, 55, pp. 27-54. (doi: 10.1017/S0017089513000499)

Iyama, O., Wemyss, M. (2013) On the noncommutative Bondal–Orlov conjecture Journal für die reine und angewandte Mathematik (Crelles Journal), 683, pp. 119-128. (doi: 10.1515/crelle-2012-0001)

Brendle, T.E., Margalit, D. (2013) Point pushing, homology, and the hyperelliptic involution Michigan Mathematical Journal, 62, pp. 451-473. (doi: 10.1307/mmj/1378757883)

Vergnioux, R., Voigt, C. (2013) The K-theory of free quantum groups Mathematische Annalen, 357, pp. 355-400. (doi: 10.1007/s00208-013-0902-9)

Stevenson, G. (2013) Support theory via actions of tensor triangulated categories Journal für die reine und angewandte Mathematik (Crelles Journal), 2013, (doi: 10.1515/crelle-2012-0025)

Cheltsov, I., Wilson, A. (2013) Del Pezzo surfaces with many symmetries Journal of Geometric Analysis, 23, pp. 1257-1289. (doi: 10.1007/s12220-011-9286-9)

Hou, X.-d., Lecuona, A. G., Mullen, G. L., Sellers, J. A. (2013) On the dimension of the space of magic squares over a field Linear Algebra and its Applications, 438, pp. 3463-3475. (doi: 10.1016/j.laa.2012.12.014)

Bellamy, G., Schedler, T. (2013) A new linear quotient of C^4 admitting a symplectic resolution Mathematische Zeitschrift, 273, pp. 753-769. (doi: 10.1007/s00209-012-1028-6)

Bellamy, G., Ginzburg, V. (2013) Some combinatorial identities related to commuting varieties and Hilbert schemes Mathematische Annalen, 355, pp. 801-847. (doi: 10.1007/s00208-012-0805-1)

Brown, K., Macauley, M. (2013) Ambiskew Hopf algebras Journal of Pure and Applied Algebra, 217, pp. 59-74. (doi: 10.1016/j.jpaa.2012.04.007)

Feigin, M.V., Hallnäs, M.A., Veselov, A.P. (2013) Baker-Akhiezer functions and generalised Macdonald-Mehta integrals Journal of Mathematical Physics, 54, pp. 052106. (doi: 10.1063/1.4804615)

Bellamy, G., Dodd, C., McGerty, K., Nevins, T. (2013) Categorical cell decomposition of quantized symplectic algebraic varieties arXiv,

Brendle, T., Childers, L., Margalit, D. (2013) Cohomology of the hyperelliptic Torelli group Israel Journal of Mathematics, 195, pp. 613-630. (doi: 10.1007/s11856-012-0075-3)

Brendle, T.E., Hatcher, A. (2013) Configuration spaces of rings and wickets Commentarii Mathematici Helvetici, 88, pp. 131-162. (doi: 10.4171/CMH/280)

Gadre, V., Hironaka, E., Kent, R., Leininger, C. (2013) Lipschitz constants to curve complexes Mathematical Research Letters, 20, pp. 647-656.

Hawkins, A., Skalski, A., White, S., Zacharias, J. (2013) On spectral triples on crossed products arising from equicontinuous actions Mathematica Scandinavica, 113, pp. 262-291.

Wemyss, M. (2013) Reconstruction algebras of type D (II) Hokkaido Mathematical Journal, 42, pp. 293-329. (doi: 10.14492/hokmj/1372859589)

Whittaker, M. (2013) Spectral triples for hyperbolic dynamical systems Journal of Noncommutative Geometry, 7, pp. 563-582. (doi: 10.4171/JNCG/127)

Feigin, M., Lechtenfeld, O., Polychronakos, A. (2013) The quantum angular Calogero-Moser model Journal of High Energy Physics, 2013, (doi: 10.1007/JHEP07(2013)162)

2012

Owens, B., Strle, S. (2012) Dehn surgeries and negative-definite four-manifolds Selecta Mathematica - New Series, 18, pp. 839-854. (doi: 10.1007/s00029-012-0086-2)

Morrison, E.K., Strachan, I.A.B. (2012) Polynomial modular Frobenius manifolds Physica D: Nonlinear Phenomena, 241, pp. 2145-2155. (doi: 10.1016/j.physd.2011.12.006)

Gadre, V. H. (2012) Dynamics of non-classical interval exchanges Ergodic Theory and Dynamical Systems, 32, pp. 1930-1971. (doi: 10.1017/S0143385711000691)

Feigin, M., Silantyev, A. (2012) Singular polynomials from orbit spaces Compositio Mathematica, 148, pp. 1867-1879. (doi: 10.1112/S0010437X1200036X)

England, M., Athorne, C. (2012) Generalised elliptic functions Central European Journal of Mathematics, 10, pp. 1655-1672. (doi: 10.2478/s11533-012-0083-x)

Athorne, C., Yilmaz, H. (2012) Laplace invariants for general hyperbolic systems Journal of Nonlinear Mathematical Physics, 19, pp. 391-410. (doi: 10.1142/S1402925112500246)

Strachan, I. A.B. (2012) Simple elliptic singularities: a note on their G-function Asian Journal of Mathematics, 16, pp. 409-426. (doi: 10.4310/AJM.2012.v16.n3.a3)

Owens, B., Strle, S. (2012) A characterisation of the Z^n + Zδ lattice and definite nonunimodular intersection forms American Journal of Mathematics, 134, pp. 891-913. (doi: 10.1353/ajm.2012.0026)

Bartel, A. (2012) On Brauer–Kuroda type relations of S-class numbers in dihedral extensions Journal für die reine und angewandte Mathematik (Crelles Journal), 2012, pp. 211-244. (doi: 10.1515/CRELLE.2011.152)

Wemyss, M. (2012) Reconstruction algebras of type D (I) Journal of Algebra, 356, pp. 158-194. (doi: 10.1016/j.jalgebra.2012.01.019)

Wand, A. (2012) Mapping class group relations, Stein fillings, and planar open book decompositions Journal of Topology, 5, pp. 1-14. (doi: 10.1112/jtopol/jtr025)

Athorne, C. (2012) On the equivariant algebraic Jacobian for curves of genus two Journal of Geometry and Physics, 62, pp. 724-730. (doi: 10.1016/j.geomphys.2011.12.016)

Lecuona, A. G. (2012) On the slice-ribbon conjecture for Montesinos knots Transactions of the American Mathematical Society, 364, pp. 233-285. (doi: 10.1090/S0002-9947-2011-05385-7)

England, M., Athorne, C. (2012) Building Abelian functions with Baker-Hirota operators Symmetry, Integrability and Geometry: Methods and Applications, 8, pp. 1-36. (doi: 10.3842/SIGMA.2012.037)

Donald, A., Owens, B. (2012) Concordance groups of links Algebraic and Geometric Topology, 12, pp. 2069-2093. (doi: 10.2140/agt.2012.12.2069)

Feigin, M. (2012) Generalized Calogero–Moser systems from rational Cherednik algebras Selecta Mathematica - New Series, 18, pp. 253-281. (doi: 10.1007/s00029-011-0074-y)

Bellamy, G., Kuwabara, T. (2012) On deformation quantizations of hypertoric varieties Pacific Journal of Mathematics, 260, pp. 89-127. (doi: 10.2140/pjm.2012.260.89)

Feigin, M., Shramov, C. (2012) On unitary submodules in the polynomial representations of rational cherednik algebras International Mathematics Research Notices, 15, pp. 3375-3414. (doi: 10.1093/imrn/rnr140)

Voigt, C. (2012) Quantum SU(2) and the Baum-Connes conjecture Banach Centre Publications, 98, pp. 417-432. (doi: 10.4064/bc98-0-17)

Bellamy, G. (2012) The Calogero-Moser partition for G(m,d,n) Nagoya Mathematical Journal, 207, pp. 47-77.

2011

Bellamy, G. (2011) Cuspidal representations of rational Cherednik algebras at t=0 Mathematische Zeitschrift, 269, pp. 609-627. (doi: 10.1007/s00209-010-0754-x)

Gadre, V. (2011) The limit set of the handlebody set has measure zero. Journal für die reine und angewandte Mathematik (Crelles Journal), 2012, pp. 115-119. (doi: 10.1515/CRELLE.2011.154,)

Gadre, V., Tsai, C.-y. (2011) Minimal pseudo-anosov translation lengths on the complex of curves Geometry and Topology, 15, pp. 1297-1312. (doi: 10.2140/gt.2011.15.1297)

Athorne, C. (2011) A generalization of Baker's quadratic formulae for hyperelliptic ℘-functions Physics Letters A, 375, pp. 2689-2693. (doi: 10.1016/j.physleta.2011.05.056)

Frank, N. P., Whittaker, M. (2011) A fractal version of the pinwheel tiling Mathematical Intelligencer, 33, pp. 7-17. (doi: 10.1007/s00283-011-9212-9)

Wemyss, M. (2011) The GL(2, C) McKay correspondence Mathematische Annalen, 350, pp. 631-659. (doi: 10.1007/s00208-010-0572-9)

Wemyss, M. (2011) Reconstruction algebras of type A Transactions of the American Mathematical Society, 363, pp. 3101-3132. (doi: 10.1090/S0002-9947-2011-05130-5)

David, L., Strachan, I. A.B. (2011) Dubrovin's duality for F-manifolds with eventual identities Advances in Mathematics, 226, pp. 4031-4060. (doi: 10.1016/j.aim.2010.11.006)

Lecuona, A. G., Lisca, P. (2011) Stein fillable Seifert fibered 3–manifolds Algebraic and Geometric Topology, 11, pp. 625-642. (doi: 10.2140/agt.2011.11.625)

Iyama, O., Wemyss, M. (2011) A new triangulated category for rational surface singularities Illinois Journal of Mathematics, 55, pp. 325-341.

Voigt, C. (2011) The Baum-Connes conjecture for free orthogonal quantum groups Advances in Mathematics, 227, pp. 1873-1913. (doi: 10.1016/j.aim.2011.04.008)

2010

Bocklandt, R., Schedler, T., Wemyss, M. (2010) Superpotentials and higher order derivations Journal of Pure and Applied Algebra, 214, pp. 1501-1522. (doi: 10.1016/j.jpaa.2009.07.013)

Winter, W., Zacharias, J. (2010) The nuclear dimension of C*-algebras Advances in Mathematics, 224, pp. 461-498. (doi: 10.1016/j.aim.2009.12.005)

Iyama, O., Wemyss, M. (2010) The classification of special Cohen–Macaulay modules Mathematische Zeitschrift, 265, pp. 41-83. (doi: 10.1007/s00209-009-0501-3)

Bartel, A. (2010) Large Selmer groups over number fields Mathematical Proceedings of the Cambridge Philosophical Society, 148, pp. 73-86. (doi: 10.1017/S0305004109990132)

Brown, K.A., Changtong, K. (2010) Symplectic reflection algebras in positive characteristic Proceedings of the Edinburgh Mathematical Society, 53, pp. 61-81. (doi: 10.1017/S0013091507001435)

Skalski, A., Zacharias, J. (2010) Approximation properties and entropy estimates for crossed products by actions of amenable discrete quantum groups Journal of the London Mathematical Society, 82, pp. 184-202. (doi: 10.1112/jlms/jdq023)

Whittaker, M. (2010) C*-algebras of tilings with infinite rotational symmetry Journal of Operator Theory, 64, pp. 299-319.

Nest, R., Voigt, C. (2010) Equivariant Poincaré duality for quantum group actions Journal of Functional Analysis, 258, pp. 1466-1503. (doi: 10.1016/j.jfa.2009.10.015)

Morrison, E.K., Strachan, I. (2010) Modular frobenius manifolds and their invariant flows International Mathematics Research Notices, 2011, pp. 3957-3982. (doi: 10.1093/imrn/rnq236)

Skalski, A., Zacharias, J. (2010) On approximation properties of Pimsner algebras and crossed products by Hilbert bimodules Rocky Mountain Journal of Mathematics, 40, pp. 609-625.

Owens, B. (2010) On slicing invariants of knots Transactions of the American Mathematical Society, 362, pp. 3095-3106. (doi: 10.1090/S0002-9947-09-04904-6)

Skalski, A., Zacharias, J. (2010) Poisson transform for higher-rank graph algebras and its applications Journal of Operator Theory, 63, pp. 425-454.

Brown, K. A., Zhang, J. J. (2010) Prime regular Hopf algebras of GK-dimension one Proceedings of the London Mathematical Society, 101, pp. 260-302. (doi: 10.1112/plms/pdp060)

Strachan, I.A.B. (2010) Weyl groups and elliptic solutions of the WDVV equations Advances in Mathematics, 224, pp. 1801-1838. (doi: 10.1016/j.aim.2010.01.013)

2009

Kosta, D. (2009) Factoriality of complete intersections in ℙ5 Proceedings of the Steklov Institute of Mathematics, 264, pp. 102-109. (doi: 10.1134/S0081543809010131)

Feigin, M., Korff, C., Strachan, I. (2009) Workshop island 3: algebraic aspects of integrability. Introduction to an additional volume of selected papers arising from the conference on algebraic aspects of integrable systems, Island 3, Islay 2007 Glasgow Mathematical Journal, 51, pp. 1-3. (doi: 10.1017/S0017089508004734)

Bellamy, G. (2009) Factorization in generalized Calogero-Moser spaces Journal of Algebra, 321, pp. 338-344. (doi: 10.1016/j.jalgebra.2008.09.015)

Skalski, A., Zacharias, J. (2009) A note on spectral triples and quasidiagonality Expositiones Mathematicae, 27, pp. 137-141. (doi: 10.1016/j.exmath.2008.10.007)

Athorne, C. (2009) Applications of Transvectants Springer-Verlag

Voigt, C. (2009) Chern character for totally disconnected groups Mathematische Annalen, 343, pp. 507-540. (doi: 10.1007/s00208-008-0281-9)

Winter, W., Zacharias, J. (2009) Completely positive maps of order zero Munster Journal of Mathematics, 2, pp. 311-324.

Strachan, I.A.B. (2009) Differential and Functional Identities for the Elliptic Trilogarithm Symmetry, Integrability and Geometry: Methods and Applications, 5, pp. 031. (doi: 10.3842/SIGMA.2009.031)

Bellamy, G. (2009) On singular Calogero-Moser spaces Bulletin of the London Mathematical Society, 41, pp. 315-326. (doi: 10.1112/blms/bdp019)

Feigin, M. (2009) Trigonometric solutions of WDVV equations and generalized Calogero-Moser-Sutherland systems Symmetry, Integrability and Geometry: Methods and Applications, 5, pp. 088. (doi: 10.3842/SIGMA.2009.088)

2008

Birman, J., Brendle, T., Broaddus, N. (2008) Calculating the image of the second Johnson–Morita representation

Athorne, C. (2008) Identities for hyperelliptic ℘-functions of genus one, two and three in covariant form Journal of Physics A: Mathematical and Theoretical, 41, pp. 5202. (doi: 10.1088/1751-8113/41/41/415202)

Kosta, D. (2008) Factoriality condition of some nodal threefolds in ℙ4 Manuscripta Mathematica, 127, pp. 151-166. (doi: 10.1007/s00229-008-0197-4)

Brown, K.A., Zhang, J.J. (2008) Dualising complexes and twisted Hochschild (co)homology for noetherian Hopf algebras Journal of Algebra, 320, pp. 1814-1850. (doi: 10.1016/j.jalgebra.2007.03.050)

Ferguson, J., Strachan, I.A.B. (2008) Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations Communications in Mathematical Physics, 280, pp. 1-25. (doi: 10.1007/s00220-008-0464-y)

Owens, B. (2008) Unknotting information from Heegaard Floer homology Advances in Mathematics, 217, pp. 2353-2376. (doi: 10.1016/j.aim.2007.10.006)

Brown, K.A., Gordon, I.G., Stroppel, C. (2008) Cherednik, Hecke and quantum algebras as free Frobenius and Calabi–Yau extensions Journal of Algebra, 319, pp. 1007-1034. (doi: 10.1016/j.jalgebra.2007.10.026)

Voigt, C. (2008) A new description of equivariant cohomology for totally disconnected groups Journal of K-theory: K-theory and its Applications to Algebra, Geometry and Topology, 1, pp. 431-472. (doi: 10.1017/is007011019jkt020)

Brendle, T., Margalit, D. (2008) Addendum to: commensurations of the Johnson kernel Geometry and Topology, 12, pp. 97-101. (doi: 10.2140/gt.2008.12.97)

Voigt, C. (2008) Bornological quantum groups Pacific Journal of Mathematics, 235, pp. 93-135. (doi: 10.2140/pjm.2008.235.93)

Skalski, A., Zacharias, J. (2008) Entropy of shifts on higher-rank graph C*-algebras Houston Journal of Mathematics, 34, pp. 269-282.

Voigt, C. (2008) Equivariant cyclic homology for quantum groups

Skalski, A., Zacharias, J. (2008) Noncommutative topological entropy of endomorphisms of Cuntz algebras Letters in Mathematical Physics, 86, pp. 115-134. (doi: 10.1007/s11005-008-0279-y)

Feigin, M., Veselov, A.P. (2008) On the geometry of V-systems American Mathematical Society

Skalski, A., Zacharias, J. (2008) Wold decomposition for representations of product systems of C* corrrespondences International Journal of Mathematics, 19, pp. 455-479. (doi: 10.1142/S0129167X08004765)

2007

Dunajski, M., Grant, J.D.E., Strachan, I.A.B. (2007) Multidimensional integrable systems and deformations of Lie algebra homomorphisms Journal of Mathematical Physics, 48, pp. 093502. (doi: 10.1063/1.2777008)

Feigin, M., Veselov, A.P. (2007) Logarithmic Frobenius structures and Coxeter discriminants Advances in Mathematics, 212, pp. 143-162. (doi: 10.1016/j.aim.2006.08.010)

Brendle, T.E., Farb, B. (2007) The Birman–Craggs–Johnson homomorphism and abelian cycles in the Torelli group Mathematische Annalen, 338, pp. 33-53. (doi: 10.1007/s00208-006-0066-y)

Riley, A., Strachan, I.A.B. (2007) A note on the relationship between rational and trigonometric solutions of the WDVV equations Journal of Nonlinear Mathematical Physics, 14, pp. 82-94. (doi: 10.2991/jnmp.2007.14.1.7)

Manolescu, C., Owens, B. (2007) A concordance invariant from the Floer homology of double branched covers International Mathematics Research Notices, 2007, (doi: 10.1093/imrn/rnm077)

Voigt, C. (2007) Equivariant local cyclic homology and the equivariant Chern-Connes character Documenta Mathematica, 12, pp. 313-359 (electronic).

Voigt, C. (2007) Equivariant periodic cyclic homology Journal of the Institute of Mathematics of Jussieu, 6, pp. 689-763. (doi: 10.1017/S1474748007000102)

Brown, K. (2007) Noetherian Hopf algebras

Ardakov, K., Brown, K.A. (2007) Primeness, semiprimeness and localisation in Iwasawa algebras Transactions of the American Mathematical Society, 359, pp. 1499-1515. (doi: 10.1090/S0002-9947-06-04153-5)

2006

Brown, K.A., Goodearl, K.R., Yakimov, M. (2006) Poisson structures on affine spaces and flag varieties. I. Matrix affine Poisson space Advances in Mathematics, 206, pp. 567-629. (doi: 10.1016/j.aim.2005.10.004)

Feigin, M. (2006) On the logarithmic solutions of the WDVV equations Czechoslovak Journal of Physics, 56, pp. 1149-1153. (doi: 10.1007/s10582-006-0416-8)

David, L., Strachan, I.A.B. (2006) Conformally flat pencils of metrics, Frobenius structures and a modified Saito construction Journal of Geometry and Physics, 56, pp. 1561-1575. (doi: 10.1016/j.geomphys.2005.08.003)

Riley, A., Strachan, I.A.B. (2006) Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations Letters in Mathematical Physics, 77, pp. 221-234. (doi: 10.1007/s11005-006-0096-0)

Owens, B., Strle, S. (2006) A characterisation of the n<1>+<3> form and applications to rational homology spheres Mathematical Research Letters, 13, pp. 259-271.

Owens, B., Strle, S. (2006) Rational homology spheres and the four-ball genus of knots Advances in Mathematics, (doi: 10.1016/j.aim.2004.12.007)

Athorne, C. (2006) Algebraic Hirota maps Springer

Bhat, B.V.R., Dey, S., Zacharias, J. (2006) Minimal Cuntz-Krieger dilations and representations of Cuntz-Krieger algebras Proceedings Mathematical Sciences, 116, pp. 193-220. (doi: 10.1007/BF02829787)

Chen, Y., Feigin, M. (2006) Painlevé IV and degenerate Gaussian unitary ensembles Journal of Physics A: Mathematical and General, 39, pp. 12381-12393. (doi: 10.1088/0305-4470/39/40/007)

Ardakov, K., Brown, K.A. (2006) Ring-theoretic properties of Iwasawa algebras: a survey Deutsche Mathematiker-Vereinigung

2005

Athorne, C. (2005) A novel approcah to the theory of Pade approximants Journal of Nonlinear Mathematical Physics, 12, pp. 15-27. (doi: 10.2991/jnmp.2005.12.s2.2)

Feigin, M. (2005) Bispectrality for deformed Calogero­-Moser­-Sutherland systems Journal of Nonlinear Mathematical Physics, 12, pp. 95-136. (doi: 10.2991/jnmp.2005.12.s2.8)

Birman, J., Brendle, T. (2005) Braids: a survey Elsevier

Owens, B., Strle, S. (2005) Definite manifolds bounded by rational homology three spheres

Popescu, I., Zacharias, J. (2005) E-theoretic duality for higher rank graph algebras K-Theory, 34, pp. 265-282. (doi: 10.1007/s10977-005-5544-6)

Kokotov, A., Strachan, I.A.B. (2005) On the isomonodromic tau-function for the Hurwitz spaces of branched coverings of genus zero and one Mathematical Research Letters, 12, pp. 857-876.

Zacharias, J. (2005) Topological entropy of quotients and extensions World Scientific

Brown, K. (2005) Unruffled extensions and flatness over central subalgebras Journal of Algebra, 284, pp. 771-800. (doi: 10.1016/j.jalgebra.2004.10.008)

2004

Feigin, M. (2004) Quasi-invariants of dihedral systems Mathematical Notes, 76, pp. 723-737. (doi: 10.1023/B:MATN.0000049671.38147.7e)

Athorne, C. (2004) The representation theory of Pade approximants Journal of Physics A: Mathematical and General, 37, pp. 7699-7710. (doi: 10.1088/0305-4470/37/31/004)

Brendle, T.E., Farb, B. (2004) Every mapping class group is generated by 6 involutions Journal of Algebra, 278, pp. 187-198. (doi: 10.1016/j.jalgebra.2004.02.019)

Athorne, C., Eilbeck, J.C., Enolskii, V.Z. (2004) A SL(2) covariant theory of genus 2 hyperelliptic functions Mathematical Proceedings of the Cambridge Philosophical Society, 136, pp. 269-286. (doi: 10.1017/S030500410300728X)

Strachan, I.A.B. (2004) Frobenius manifolds: natural submanifolds and induced bi-Hamiltonian structures Differential Geometry and its Applications, 20, pp. 67-99. (doi: 10.1016/j.difgeo.2003.10.001)

Brendle, T.E., Margalit, D. (2004) Commensurations of the Johnson kernel Geometry and Topology, 8, pp. 1361-1384. (doi: 10.2140/gt.2004.8.1361)

David, L., Strachan, I.A.B. (2004) Compatible metrics on a manifold and nonlocal Bi-hamiltonian structures International Mathematics Research Notices, 66, pp. 3533-3557. (doi: 10.1155/S1073792804142359)

2003

Strachan, I.A.B. (2003) How to count curves: from nineteenth-century problems to twenty-first-century solutions Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 361, pp. 2633-2647. (doi: 10.1098/rsta.2003.1261)

Athorne, C., Eilbeck, J.C., Enolskii, V.Z. (2003) Identities for the classical genus two p function Journal of Geometry and Physics, 48, pp. 354-368. (doi: 10.1016/S0393-0440(03)00048-2)

Athorne, C. (2003) Covariant hyperelliptic functions of genus two Theoretical and Mathematical Physics, 137, pp. 1359-1366. (doi: 10.1023/A:1026088203139)

Feigin, M. (2003) Intertwining relations for the spherical parts of generalized Calogero operators Theoretical and Mathematical Physics, 135, pp. 497-509. (doi: 10.1023/A:1023231402145)

Strachan, I.A.B. (2003) Deformations of the Monge/Riemann hierarchy and approximately integrable systems Journal of Mathematical Physics, 44, pp. 251-262. (doi: 10.1063/1.1522134)

Hirshberg, I., Zacharias, J. (2003) On the structure of spectral algebras and their generalizations American Mathematical Society

Brown, K., Gordon, I. (2003) Poisson orders, symplectic reflection algebras and representation theory Journal für die reine und angewandte Mathematik (Crelles Journal), 559, pp. 193-216.

Feigin, M., Veselov, A.P. (2003) Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems International Mathematics Research Notices, 2003, pp. 2487-2511. (doi: 10.1155/S1073792803130826)

Strachan, I.A.B. (2003) Symmetries and solutions of Getzler's equation for Coxeter and extended affine Weyl Frobenius manifolds International Mathematics Research Notices, 2003, pp. 1035-1051. (doi: 10.1155/S107379280320502X)

Brown, K. (2003) Symplectic reflection algebras Bulletin of the Irish Mathematical Society, 50, pp. 27-49.

2002

Dancer, A.S., Strachan, I.A.B. (2002) Einstein metrics on tangent bundles of spheres Classical and Quantum Gravity, 19, pp. 4663-4670. (doi: 10.1088/0264-9381/19/18/303)

Yilmaz, H., Athorne, C. (2002) The geometrically invariant form of evolution equations Journal of Physics A: Mathematical and General, 35, pp. 2619-2625. (doi: 10.1088/0305-4470/35/11/308)

Strachan, I.A.B. (2002) Frobenius manifolds and the biHamiltonian structure on discriminant hypersurfaces American Mathematical Society

Brown, K.A., Goodearl, K.R. (2002) Lectures on Algebraic Quantum Groups Birkhäuser

Feigin, M., Veselov, A.P. (2002) Quasi-invariants of Coxeter groups and m-harmonic polynomials International Mathematics Research Notices, 2002, pp. 521-545. (doi: 10.1155/S1073792802106064)

Brown, K., Gordon, I. (2002) The ramifications of the centres: Quantised function algebras at roots of unity Proceedings of the London Mathematical Society, 84, pp. 147-178.

2001

Strachan, I.A.B. (2001) Deformations of dispersionless KdV hierarchies Letters in Mathematical Physics, 58, pp. 129-140. (doi: 10.1023/A:1013370516221)

Athorne, C. (2001) On solving a class of unbalanced Ermakov-Pinney systems Journal of Physics A: Mathematical and General, 34, pp. L563-L566. (doi: 10.1088/0305-4470/34/42/101)

Brendle, T.E., Hamidi-Tehrani, H. (2001) On the linearity problem for mapping class groups Algebraic and Geometric Topology, 1, pp. 445-468.

Strachan, I.A.B. (2001) Frobenius submanifolds Journal of Geometry and Physics, 38, pp. 285-307. (doi: 10.1016/S0393-0440(00)00064-4)

Athorne, C. (2001) Hirota derivatives and representation theory Glasgow Mathematical Journal, 43, pp. 1-8. (doi: 10.1017/S0017089501000015)

McCarthy, O.D., Strachan, I.A.B. (2001) Unitized Jordan algebras and dispersionless KdV equations Journal of Physics A: Mathematical and General, 34, pp. 2435-2442. (doi: 10.1088/0305-4470/34/11/332)

Zacharias, J. (2001) Endomorphisms of continuous Cuntz algebras Journal of Operator Theory, 46, pp. 561-577.

Owens, B. (2001) Instantons on cylindrical manifolds and stable bundles Geometry and Topology, 5, pp. 761-797. (doi: 10.2140/gt.2001.5.761)

Zacharias, J. (2001) Splitting for subalgebras of tensor products Proceedings of the American Mathematical Society, 129, pp. 407-413.

Brown, K., Gordon, I. (2001) The ramification of centres: Lie algebras in positive characteristic and quantised enveloping algebras Mathematische Zeitschrift, 238, pp. 733-779.

2000

Zacharias, J. (2000) Pure infiniteness of spectral algebras Journal of Functional Analysis, 178, pp. 381-395. (doi: 10.1006/jfan.2000.3661)

Strachan, I.A.B. (2000) Jordan manifolds and dispersionless KdV equations Journal of Nonlinear Mathematical Physics, 7, pp. 495-510. (doi: 10.2991/jnmp.2000.7.4.7)

Athorne, C. (2000) Darboux maps andD-modules Theoretical and Mathematical Physics, 122, pp. 135-139. (doi: 10.1007/BF02551191)

Strachan, I.A.B. (2000) Degenerate bi-Hamiltonian structures of the hydrodynamic type Theoretical and Mathematical Physics, 122, pp. 247-255. (doi: 10.1007/BF02551201)

Zacharias, J. (2000) Continuous Tensor Products and Arveson's Spectral C*-algebras American Mathematical Society

Zacharias, J. (2000) Quasi free automorphisms of Cuntz-Krieger-Pimsner-algebras Springer

1999

Feigin, M.V. (1999) Singular operators satisfying an intertwining relation Theoretical and Mathematical Physics, 121, pp. 1478-1483.

Strachan, I.A.B. (1999) Degenerate Frobenius manifolds and the bi-Hamiltonian structure of rational Lax equations Journal of Mathematical Physics, 40, pp. 5058-5079. (doi: 10.1063/1.533015)

Chalykh, O.A., Feigin, M.V., Veselov, A.P. (1999) Multidimensional Baker-Akhiezer functions and Huygens' principle Communications in Mathematical Physics, 206, pp. 533-566. (doi: 10.1007/PL00005521)

Grant, J. D.E., Strachan, I.A.B. (1999) Hypercomplex integrable systems Nonlinearity, 12, pp. 1247-1261. (doi: 10.1088/0951-7715/12/5/302)

Athorne, C. (1999) On the Lie symmetry algebra of a general ordinary differential equation Journal of Physics A: Mathematical and General, 31, pp. 6605-6614. (doi: 10.1088/0305-4470/31/31/008)

Speight, J.M., Strachan, I.A.B. (1999) Gravity thaws the frozen moduli of the ℂP1 lump Physics Letters B, 457, pp. 17-22. (doi: 10.1016/S0370-2693(99)00526-2)

Athorne, C. (1999) Algebraic invariants and generalized hirota derivatives Physics Letters A, 256, pp. 20-24. (doi: 10.1016/S0375-9601(99)00202-9)

Athorne, C. (1999) Projective lifts and generalised Ermakov and Bernoulli systems Journal of Mathematical Analysis and Applications, 233, pp. 552-563. (doi: 10.1006/jmaa.1999.6305)

1998

Chalykh, O.A., Feigin, M., Veselov, A.P. (1998) New integrable generalizations of Calogero-Moser quantum problem Journal of Mathematical Physics, 39, pp. 695-703. (doi: 10.1063/1.532347)

1997

Athorne, C. (1997) Symmetries of linear ordinary differential equations Journal of Physics A: Mathematical and General, 30, pp. 4639-4649. (doi: 10.1088/0305-4470/30/13/015)

Strachan, I.A.B. (1997) A geometry for multidimensional integrable systems Journal of Geometry and Physics, 21, pp. 255-278. (doi: 10.1016/S0393-0440(96)00019-8)

1996

Fairlie, D.B., Strachan, I.A.B. (1996) The algebraic and Hamiltonian structure of the dispersionless Benney and Toda hierarchies Inverse Problems, 12, pp. 885-908. (doi: 10.1088/0266-5611/12/6/006)

Strachan, I.A.B. (1996) The dispersive self-dual Einstein equations and the Toda lattice Journal of Physics A: Mathematical and General, 29, pp. 6117-6124. (doi: 10.1088/0305-4470/29/18/036)

Strachan, I.A.B. (1996) On the integrability of a third-order Monge-Ampère type equation Physics Letters A, 210, pp. 267-272. (doi: 10.1016/0375-9601(95)00944-2)

Fairlie, D.B., Strachan, I.A.B. (1996) The Hamiltonian structure of the dispersionless Toda hierarchy Physica D: Nonlinear Phenomena, 90, pp. 1-8. (doi: 10.1016/0167-2789(95)00229-4)

Veselov, A.P., Feigin, M.V., Chalykh, O.A. (1996) New integrable deformations of quantum Calogero-Moser problem Russian Mathematical Surveys, 51, pp. 573-574. (doi: 10.1070/RM1996v051n03ABEH002956)

1995

Athorne, C. (1995) A Toda system Physics Letters A, 206, pp. 162-166. (doi: 10.1016/0375-9601(95)00643-H)

Strachan, I.A.B. (1995) The symmetry structure of the anti-self-dual Einstein hierarchy Journal of Mathematical Physics, 36, pp. 3566-3573. (doi: 10.1063/1.530982)

Strachan, I.A.B. (1995) The Moyal bracket and the dispersionless limit of the KP hierarchy Journal of Physics A: Mathematical and General, 28, pp. 1967-1975. (doi: 10.1088/0305-4470/28/7/018)

1994

Strachan, I.A.B. (1994) Moduli space metrics for axially symmetric instantons Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 446, pp. 479-397. (doi: 10.1098/rspa.1994.0116)

Strachan, I. A.B. (1994) Integrable and near-integrable dynamical systems associated with Bianchi IX metrics Theoretical and Mathematical Physics, 99, pp. 790-795. (doi: 10.1007/BF01017069)

Hartl, T., Athorne, C. (1994) Solvable structures and hidden symmetries Journal of Physics A: Mathematical and General, 27, pp. 3463-3474. (doi: 10.1088/0305-4470/27/10/022)

1993

Strachan, I.A.B. (1993) Hierarchy of conservation laws for self-dual gravity Classical and Quantum Gravity, 10, pp. 1417-1423. (doi: 10.1088/0264-9381/10/7/017)

Strachan, I.A.B. (1993) Some integrable hierarchies in (2+1) dimensions and their twistor description Journal of Mathematical Physics, 34, pp. 243-259. (doi: 10.1063/1.530379)

1992

Strachan, I.A.B. (1992) Wave solutions of a (2+1)-dimensional generalization of the nonlinear Schrödinger equation Inverse Problems, 8, pp. L21-L27. (doi: 10.1088/0266-5611/8/5/001)

Strachan, I.A.B. (1992) A new family of integrable models in (2+1) dimensions associated with Hermitian symmetric spaces Journal of Mathematical Physics, 33, pp. 2477-2482. (doi: 10.1063/1.529617)

Strachan, I.A.B. (1992) The Moyal algebra and integrable deformations of the self-dual Einstein equations Physics Letters B, 283, pp. 63-66. (doi: 10.1016/0370-2693(92)91427-B)

Strachan, I.A.B. (1992) Low-velocity scattering of vortices in a modified Abelian Higgs model Journal of Mathematical Physics, 33, pp. 102-110. (doi: 10.1063/1.529949)

1991

Strachan, I.A.B. (1991) Self-dual Yang-Mills fields and the non-linear Schrödinger equation Physics Letters A, 154, pp. 123-126. (doi: 10.1016/0375-9601(91)90748-W)

Continuum Mechanics - Modelling & Analysis of Material Systems

Staff

Publications

2021

Kowal, K. N. (2021) Viscous banding instabilities: non-porous viscous fingering Journal of Fluid Mechanics, 926, (doi: 10.1017/jfm.2021.660)

Melnikov, A., Ogden, R. W., Dorfmann, L., Merodio, J. (2021) Bifurcation analysis of elastic residually-stressed circular cylindrical tubes International Journal of Solids and Structures, 226-27, (doi: 10.1016/j.ijsolstr.2021.111062)

Huang, R., Ogden, R., Penta, R. (2021) Mathematical modelling of residual-stress based volumetric growth in soft matter Journal of Elasticity, 145, pp. 223-241. (doi: 10.1007/s10659-021-09834-8)

Dorfmann, L., Ogden, R. W. (2021) The effect of residual stress on the stability of a circular cylindrical tube Journal of Engineering Mathematics, 127, (doi: 10.1007/s10665-021-10097-4)

Su, Y., Ogden, R. W., Destrade, M. (2021) Bending control and stability of functionally graded dielectric elastomers Extreme Mechanics Letters, 43, (doi: 10.1016/j.eml.2020.101162)

2020

Ogden, R.W. (2020) Peter Chadwick. 23 March 1931—12 August 2018 Biographical Memoirs of Fellows of the Royal Society, 69, pp. 109-131. (doi: 10.1098/rsbm.2020.0012)

El Hamdaoui, M., Merodio, J., Ogden, R.W. (2020) Two-phase piecewise homogeneous plane deformations of a fibre-reinforced neo-Hookean material with application to fibre kinking and splitting Journal of the Mechanics and Physics of Solids, 143, (doi: 10.1016/j.jmps.2020.104091)

Kowal, K. N., Worster, M. G. (2020) The formation of grounding zone wedges: theory and experiments Journal of Fluid Mechanics, 898, (doi: 10.1017/jfm.2020.393)

Conroy Broderick, H., Righi, M., Destrade, M., Ogden, R. W. (2020) Stability analysis of charge-controlled soft dielectric plates International Journal of Engineering Science, 151, (doi: 10.1016/j.ijengsci.2020.103280)

Melnikov, A., Dorfmann, L., Ogden, R. W. (2020) Bifurcation of finitely deformed thick-walled electroelastic spherical shells subject to a radial electric field International Journal of Non-Linear Mechanics, 121, (doi: 10.1016/j.ijnonlinmec.2020.103429)

Holzapfel, G., Ogden, R. (2020) A damage model for collagen fibres with an application to collagenous soft tissues Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, (doi: 10.1098/rspa.2019.0821)

Holzapfel, G. A., Ogden, R. W. (2020) An arterial constitutive model accounting for collagen content and cross-linking Journal of the Mechanics and Physics of Solids, 136, (doi: 10.1016/j.jmps.2019.103682)

Merodio, J., Ogden, R. (2020) Basic equations of continuum mechanics Springer

(2020) Constitutive Modelling of Solid Continua (doi: 10.1007/978-3-030-31547-4)

Merodio, J., Ogden, R. (2020) Finite deformation elasticity theory Springer

Dorfmann, L., Ogden, R. (2020) Nonlinear constitutive modeling of electroelastic solids Springer

Dorfmann, L., Ogden, R. W. (2020) Waves and vibrations in a finitely deformed electroelastic circular cylindrical tube Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, (doi: 10.1098/rspa.2019.0701)

2019

Sherifova, S., Sommer, G., Viertler, C., Regitnig, P., Caranasos, T., Smith, M. A., Griffith, B. E., Ogden, R. W., Holzapfel, G. A. (2019) Failure properties and microstructure of healthy and aneurysmatic human thoracic aortas subjected to uniaxial extension with a focus on the media Acta Biomaterialia, 99, pp. 443-456. (doi: 10.1016/j.actbio.2019.08.038)

Kowal, K. N., Davis, S. H., Voorhees, P. W. (2019) Surface deformations in dynamic thermocapillary convection under partial slip Physical Review E, 100, (doi: 10.1103/PhysRevE.100.022802)

Kowal, K. N., Worster, M. G. (2019) Stability of lubricated viscous gravity currents. Part 1. Internal and frontal analyses and stabilisation by horizontal shear Journal of Fluid Mechanics, 871, pp. 970-1006. (doi: 10.1017/jfm.2019.321)

Kowal, K. N., Worster, M. G. (2019) Stability of lubricated viscous gravity currents. Part 2. Global analysis and stabilisation by buoyancy forces Journal of Fluid Mechanics, 871, pp. 1007-1027. (doi: 10.1017/jfm.2019.322)

Holzapfel, G., Ogden, R., Sherifova, S. (2019) On fibre dispersion modelling of soft biological tissues: a review Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 475, (doi: 10.1098/rspa.2018.0736)

Melnik, A. V., Luo, X., Ogden, R. W. (2019) A para-universal relation for orthotropic materials Mechanics Research Communications, 97, pp. 46-51. (doi: 10.1016/j.mechrescom.2019.04.006)

Dorfmann, L., Ogden, R. W. (2019) Electroelastic plate instabilities based on the Stroh method in terms of the energy function Ω*(F, DL) Mechanics Research Communications, 96, pp. 67-74. (doi: 10.1016/j.mechrescom.2019.03.002)

Kowal, K. N., Davis, S. H. (2019) Strong shear-flow modulation of instabilities in rapid directional solidification Acta Materialia, 164, pp. 464-472. (doi: 10.1016/j.actamat.2018.10.054)

Zhuan, X., Luo, X., Gao, H., Ogden, R. W. (2019) Coupled agent-based and hyperelastic modelling of the left ventricle post-myocardial infarction International Journal for Numerical Methods in Biomedical Engineering, 35, (doi: 10.1002/cnm.3155)

2018

Melnik, A. V., Luo, X., Ogden, R. W. (2018) A generalised structure tensor model for the mixed invariant I8 International Journal of Non-Linear Mechanics, 107, pp. 137-148. (doi: 10.1016/j.ijnonlinmec.2018.08.018)

Singh, B., Ogden, R. W. (2018) Reflection of plane waves from the boundary of an incompressible finitely deformed electroactive half-space Zeitschrift für Angewandte Mathematik und Physik, 69, (doi: 10.1007/s00033-018-1044-4)

Kowal, K. N., Davis, S. H., Voorhees, P. W. (2018) Thermocapillary instabilities in a horizontal liquid layer under partial basal slip Journal of Fluid Mechanics, 855, pp. 839-859. (doi: 10.1017/jfm.2018.684)

Dorfmann, L., Ogden, R. W. (2018) The effect of deformation dependent permittivity on the elastic response of a finitely deformed dielectric tube Mechanics Research Communications, 93, pp. 47-57. (doi: 10.1016/j.mechrescom.2017.09.002)

Holzapfel, G. A., Ogden, R. W. (2018) Biomechanical relevance of the microstructure in artery walls with a focus on passive and active components American Journal of Physiology: Heart and Circulatory Physiology, 315, pp. H540-H549. (doi: 10.1152/ajpheart.00117.2018)

Li, K., Ogden, R. W., Holzapfel, G. A. (2018) An exponential constitutive model excluding fibers under compression: application to extension-inflation of a residually stressed carotid artery Mathematics and Mechanics of Solids, 23, pp. 1206-1224. (doi: 10.1177/1081286517712077)

Melnikov, A., Ogden, R. W. (2018) Bifurcation of finitely deformed thick-walled electroelastic cylindrical tubes subject to a radial electric field Zeitschrift für Angewandte Mathematik und Physik, 69, (doi: 10.1007/s00033-018-0954-5)

El Hamdaoui, M., Merodio, J., Ogden, R. W. (2018) Deformation induced loss of ellipticity in an anisotropic circular cylindrical tube Journal of Engineering Mathematics, 109, pp. 31-45. (doi: 10.1007/s10665-017-9904-z)

Dorfmann, L., Ogden, R. W. (2018) Instabilities of soft dielectrics Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 377, (doi: 10.1098/rsta.2018.0077)

Li, K., Ogden, R. W., Holzapfel, G. A. (2018) Modeling of fibrous biological tissues with a general invariant that excludes compressed fibers Journal of the Mechanics and Physics of Solids, 110, pp. 38-53. (doi: 10.1016/j.jmps.2017.09.005)

(2018) Multiscale Soft Tissue Mechanics and Mechanobiology: State-of-the-art Modeling

Li, K., Ogden, R. W., Holzapfel, G. A. (2018) A discrete fibre dispersion method for excluding fibres under compression in the modeling of fibrous tissues Journal of the Royal Society: Interface, 15, (doi: 10.1098/rsif.2017.0766)

2017

Kowal, K. N., Davis, S. H., Voorhees, P. W. (2017) Instabilities in rapid directional solidification under weak flow Physical Review E, 96, (doi: 10.1103/PhysRevE.96.062802)

Holzapfel, G. A., Ogden, R. W. (2017) On fiber dispersion models: exclusion of compressed fibers and spurious model comparisons Journal of Elasticity, 129, pp. 49-68. (doi: 10.1007/s10659-016-9605-2)

Holzapfel, G. A., Ogden, R. W. (2017) Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues European Journal of Mechanics - A/Solids, 66, pp. 193-200. (doi: 10.1016/j.euromechsol.2017.07.005)

Kowal, K. N., Altieri, A. L., Davis, S. H. (2017) Strongly nonlinear theory of rapid solidification near absolute stability Physical Review E, 96, (doi: 10.1103/PhysRevE.96.042801)

Dorfmann, L., Ogden, R. W. (2017) Nonlinear electroelasticity: material properties, continuum theory and applications Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 473, (doi: 10.1098/rspa.2017.0311)

(2017) Biomechanics: Trends in Modeling and Simulation Springer

Ogden, R. W. (2017) Nonlinear continuum mechanics and modelling the elasticity of soft biological tissues with a focus on artery walls Springer International Publishing

2016

Melnikov, A., Ogden, R. W. (2016) Finite deformations of an electroelastic circular cylindrical tube Zeitschrift für Angewandte Mathematik und Physik, 67, (doi: 10.1007/s00033-016-0733-0)

Ahamed, T., Dorfmann, L., Ogden, R.W. (2016) Modeling of residually stressed material with application to AAA Journal of the Mechanical Behavior of Biomedical Materials, 61, pp. 221-234. (doi: 10.1016/j.jmbbm.2016.01.012)

Nam, N.T., Merodio, J., Ogden, R.W., Vinh, P.C. (2016) The effect of initial stress on the propagation of surface waves in a layered half-space International Journal of Solids and Structures, 88-89, pp. 88-100. (doi: 10.1016/j.ijsolstr.2016.03.019)

Li, K., Ogden, R. W., Holzapfel, G. A. (2016) Computational method for excluding fibers under compression in modeling soft fibrous solids European Journal of Mechanics - A/Solids, 57, pp. 178-193. (doi: 10.1016/j.euromechsol.2015.11.003)

Kowal, K. N., Pegler, S. S., Worster, M. G. (2016) Dynamics of laterally confined marine ice sheets Journal of Fluid Mechanics, 790, (doi: 10.1017/jfm.2016.37)

Merodio, J., Ogden, R. W. (2016) Extension, inflation and torsion of a residually-stressed circular cylindrical tube Continuum Mechanics and Thermodynamics, 28, pp. 157-174. (doi: 10.1007/s00161-015-0411-z)

2015

Qi, N., Gao, H., Ogden, R. W., Hill, N. A., Holzapfel, G. A., Han, H., Luo, X. (2015) Investigation of the optimal collagen fibre orientation in human iliac arteries Journal of the Mechanical Behavior of Biomedical Materials, 52, pp. 108-119. (doi: 10.1016/j.jmbbm.2015.06.011)

El Hamdaoui, M., Merodio, J., Ogden, R. W. (2015) Loss of ellipticity in the combined helical, axial and radial elastic deformations of a fibre-reinforced circular cylindrical tube International Journal of Solids and Structures, 63, pp. 99-108. (doi: 10.1016/j.ijsolstr.2015.02.043)

Holzapfel, G. A., Niestrawska, J. A., Ogden, R. W., Reinisch, A. J., Schriefl, A. J. (2015) Modelling non-symmetric collagen fibre dispersion in arterial walls Journal of the Royal Society: Interface, 12, (doi: 10.1098/rsif.2015.0188)

Kowal, K. N., Worster, M. G. (2015) Lubricated viscous gravity currents Journal of Fluid Mechanics, 766, pp. 626-655. (doi: 10.1017/jfm.2015.30)

Ogden, R., Saccomandi, G., Wineman, A. (2015) Foreword to the special issue Mechanics of Rubber: In memory of Alan Gent International Journal of Non-Linear Mechanics, 68, pp. 1-8. (doi: 10.1016/j.ijnonlinmec.2014.08.004)

Holzapfel, G. A., Ogden, R. W. (2015) On the tension–compression switch in soft fibrous solids European Journal of Mechanics - A/Solids, 49, pp. 561-569. (doi: 10.1016/j.euromechsol.2014.09.005)

(2015) Nonlinear Mechanics of Soft Fibrous Materials Springer-Verlag Wien

Ogden, R. W. (2015) Nonlinear elasticity with application to soft fibre-reinforced materials Springer-Verlag Wien

2014

Ehret, A. E., Ogden, R. W., Mazza, E. (2014) Non-affine strain measures for continuum models of network materials Proceedings in Applied Mathematics and Mechanics, 14, pp. 435-436. (doi: 10.1002/pamm.201410205)

Dorfmann, L., Ogden, R. W. (2014) Nonlinear response of an electroelastic spherical shell International Journal of Engineering Science, 85, pp. 163-174. (doi: 10.1016/j.ijengsci.2014.09.001)

Nolan, D.R., Gower, A.L., Destrade, M., Ogden, R.W., McGarry, J.P. (2014) A robust anisotropic hyperelastic formulation for the modelling of soft tissue Journal of the Mechanical Behavior of Biomedical Materials, 39, pp. 48-60. (doi: 10.1016/j.jmbbm.2014.06.016)

Ogden, R. W., Singh, B. (2014) The effect of rotation and initial stress on the propagation of waves in a transversely isotropic elastic solid Wave Motion, 51, pp. 1108-1126. (doi: 10.1016/j.wavemoti.2014.05.004)

Holzapfel, G. A., Unterberger, M. J., Ogden, R. W. (2014) An affine continuum mechanical model for cross-linked F-actin networks with compliant linker proteins Journal of the Mechanical Behavior of Biomedical Materials, 38, pp. 78-90. (doi: 10.1016/j.jmbbm.2014.05.014)

Eremeyev, V. A., Lebedev, L. P., Ogden, R. W. (2014) Leonid M. Zubov: a life devoted to nonlinear mechanics International Journal of Engineering Science, 80, pp. 1-3. (doi: 10.1016/j.ijengsci.2014.03.005)

Destrade, M., Ogden, R.W., Sgura, I., Vergori, L. (2014) Straightening: existence, uniqueness and stability Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 470, pp. 20130709. (doi: 10.1098/rspa.2013.0709)

Shams, M., Ogden, R. (2014) On Rayleigh-type surface waves in an initially stressed incompressible elastic solid IMA Journal of Applied Mathematics, 79, pp. 360-376. (doi: 10.1093/imamat/hxs070)

Dorfmann, L., Ogden, R. W. (2014) Instabilities of an electroelastic plate International Journal of Engineering Science, 77, pp. 79-101. (doi: 10.1016/j.ijengsci.2013.12.007)

Destrade, M., Ogden, R.W., Sgura, I., Vergori, L. (2014) Straightening wrinkles Journal of the Mechanics and Physics of Solids, 65, pp. 1-11. (doi: 10.1016/j.jmps.2014.01.001)

Tomar, S.K., Ogden, R.W. (2014) Two-dimensional wave propagation in a rotating elastic solid with voids Journal of Sound and Vibration, 333, pp. 1945-1952. (doi: 10.1016/j.jsv.2013.11.043)

El Hamdaoui, M., Merodio, J., Ogden, R. W., Rodriguez, J. (2014) Finite elastic deformations of transversely isotropic circular cylindrical tubes International Journal of Solids and Structures, 51, pp. 1188-1196. (doi: 10.1016/j.ijsolstr.2013.12.019)

Steigmann, D. J., Ogden, R.W. (2014) Classical plate buckling theory as the rigorous small thickness limit of three-dimensional incremental elasticity ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik, 94, pp. 7-20. (doi: 10.1002/zamm.201200160)

Holzapfel, G., Ogden, R. W. (2014) Letter to the editor Re "Measurement of the uniaxial mechanical properties of healthy and atherosclerotic human coronary arteries" Materials Science and Engineering C: Biomimetic and Supramolecular Systems, 34, pp. 491-492. (doi: 10.1016/j.msec.2013.10.001)

Holzapfel, G.A., Ogden, R.W. (2014) Re ‘How should we measure and report elasticity of aortic tissue? European Journal of Vascular and Endovascular Surgery, 47, pp. 110-111. (doi: 10.1016/j.ejvs.2013.10.018)

Wang, H.M., Luo, X.Y., Gao, H., Ogden, R.W., Griffith, B.E., Berry, C., Wang, T.J. (2014) A modified Holzapfel-Ogden law for a residually stressed finite strain model of the human left ventricle in diastole Biomechanics and Modeling in Mechanobiology, 13, pp. 99-113. (doi: 10.1007/s10237-013-0488-x)

Dorfmann, L., Ogden, R. W. (2014) Nonlinear Theory of Electroelastic and Magnetoelastic Interactions Springer

2013

Gower, A.L., Destrade, M., Ogden, R.W.&gt; (2013) Counter-intuitive results in acousto-elasticity Wave Motion, 50, pp. 1218-1228. (doi: 10.1016/j.wavemoti.2013.03.007)

Merodio, J., Ogden, R. W., Rodrguez, J. (2013) The influence of residual stress on finite deformation elastic response International Journal of Non-Linear Mechanics, 56, pp. 43-49. (doi: 10.1016/j.ijnonlinmec.2013.02.010)

Destrade, M., Ogden, R.W. (2013) On stress-dependent elastic moduli and wave speeds IMA Journal of Applied Mathematics, 78, pp. 965-997. (doi: 10.1093/imamat/hxs003)

Bustamante, R., Ogden, R. W. (2013) Nonlinear magnetoelastostatics: energy functionals and their second variation Mathematics and Mechanics of Solids, 18, pp. 760-772. (doi: 10.1177/1081286512448347)

Holzapfel, G.A., Ogden, R.W. (2013) Elasticity of biopolymer filaments Acta Biomaterialia, 9, pp. 7320-7325. (doi: 10.1016/j.actbio.2013.03.001)

Pegler, S. S., Kowal, K. N., Hasenclever, L. Q., Worster, M. G. (2013) Lateral controls on grounding-line dynamics Journal of Fluid Mechanics, 722, (doi: 10.1017/jfm.2013.140)

Li, W.G., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A.W., Bird, N., Luo, X.Y. (2013) Anisotropic behaviour of human gallbladder walls Journal of the Mechanical Behavior of Biomedical Materials, 20, pp. 363-375. (doi: 10.1016/j.jmbbm.2013.02.015)

Wang, H.M., Gao, H., Luo, X.Y., Berry, C., Griffith, B.E., Ogden, R.W., Wang, T.J. (2013) Structure-based finite strain modelling of the human left ventricle in diastole International Journal for Numerical Methods in Biomedical Engineering, 29, pp. 83-103. (doi: 10.1002/cnm.2497)

Zhu, Y., Luo, X., Wang, H., Ogden, R., Berry, C. (2013) Three-dimensional non-linear buckling of thick-walled elastic tubes under pressure International Journal of Non-Linear Mechanics, 48, pp. 1-14. (doi: 10.1016/j.ijnonlinmec.2012.06.013)

Vergori, L., Destrade, M., McGarry, P., Ogden, R. (2013) On anisotropic elasticity and questions concerning its finite element implementation Computational Mechanics, 52, pp. 1185-1197. (doi: 10.1007/s00466-013-0871-6)

2012

Saxena, P., Ogden, R.W. (2012) On Love-type waves in a finitely deformed magnetoelastic layered half-space Zeitschrift für Angewandte Mathematik und Physik, 63, pp. 1177-1200. (doi: 10.1007/s00033-012-0204-1)

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A.W., Bird, N. (2012) A quasi-nonlinear analysis of the anisotropic behaviour of human gallbladder wall Journal of Biomechanical Engineering, 134, pp. 101009. (doi: 10.1115/1.4007633)

Steigmann, D.J., Ogden, R.W. (2012) A note on residual stress, lattice orientation and dislocation density in crystalline solids Journal of Elasticity, 109, pp. 275-283. (doi: 10.1007/s10659-012-9378-1)

Abiza, Z., Destrade, M., Ogden, R. (2012) Large acoustoelastic effect Wave Motion, 49, pp. 364-374. (doi: 10.1016/j.wavemoti.2011.12.002)

2011

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Tian, T.H., Smythe, A., Majeed, A.W., Bird, N. (2011) Cross-bridge apparent rate constants of human gallbladder smooth muscle Journal of Muscle Research and Cell Motility, 32, pp. 209-220. (doi: 10.1007/s10974-011-9260-y)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2011) Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity International Journal of Solids and Structures, 48, pp. 874-883. (doi: 10.1016/j.ijsolstr.2010.11.021)

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A., Bird, N. (2011) A mechanical model for CCK-induced acalculous gallbladder pain Annals of Biomedical Engineering, 39, pp. 786-800. (doi: 10.1007/s10439-010-0205-1)

Shams, M., Destrade, M., Ogden, R.W. (2011) Initial stresses in elastic solids: constitutive laws and acoustoelasticity Wave Motion, 48, pp. 552-567. (doi: 10.1016/j.wavemoti.2011.04.004)

Luo, X., Li, W., Hill, N., Ogden, R., Smythe, A. (2011) Inverse estimation of fibre reinforced soft tissue of human gallbladder wall

Ogden, R.W. (2011) Magnetostatics: from basic principles to nonlinear interactions in deformable media Springer

(2011) Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials pp. 107-152. (doi: 10.1007/978-3-7091-0701-0)

Destrade, M., Ogden, R.W. (2011) On magnetoacoustic waves in finitely deformed elastic solids Mathematics and Mechanics of Solids, 16, pp. 594-604. (doi: 10.1177/1081286510387695)

Saxena, P., Ogden, R. (2011) On surfaces waves in a finitely deformed magnetoelastic half space International Journal of Applied Mechanics, 3, pp. 633-665. (doi: 10.1142/S1758825111001172)

Holzapfel, G.A., Ogden, R.W. (2011) On the bending and stretching elasticity of biopolymer filaments Journal of Elasticity, 104, pp. 319-342. (doi: 10.1007/s10659-010-9277-2)

Ogden, R.W., Saccomandi, G., Sgura, I. (2011) Phenomenological modeling of DNA overstretching Journal of Nonlinear Mathematical Physics, 18, pp. 411-427. (doi: 10.1142/S140292511100160X)

Ogden, R.W., Singh, B. (2011) Propagation of waves in an incompressible transversely isotropic elastic solid with initial stress: biot revisited Journal of Mechanics of Materials and Structures, 6, pp. 453-477. (doi: 10.2140/jomms.2011.6.453)

2010

Destrade, M., Ogden, R.W. (2010) On the third- and fourth-order constants of incompressible isotropic elasticity Journal of the Acoustical Society of America, 128, pp. 3334-3343. (doi: 10.1121/1.3505102)

Destrade, M., Murphy, J.G., Ogden, R.W. (2010) On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability International Journal of Engineering Science, 48, pp. 1212-1224. (doi: 10.1016/j.ijengsci.2010.09.011)

Holzapfel, G.A., Ogden, R.W. (2010) Constitutive modelling of arteries Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 466, pp. 1551-1597. (doi: 10.1098/rspa.2010.0058)

Dorfmann, A., Ogden, R.W. (2010) Electroelastic waves in a finitely deformed electroactive material IMA Journal of Applied Mathematics, 75, pp. 603-636. (doi: 10.1093/imamat/hxq022)

Holzapfel, G. A., Ogden, R. W. (2010) Modelling the layer-specific three-dimensional residual stresses in arteries, with an application to the human aorta Journal of the Royal Society: Interface, 7, pp. 787-799. (doi: 10.1098/rsif.2009.0357)

Dorfmann, A., Merodio, J., Ogden, R. W. (2010) Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material Journal of Engineering Mathematics, 68, pp. 27-36. (doi: 10.1007/s10665-009-9318-7)

Zhu, Y.F., Luo, X.Y., Ogden, R.W. (2010) Nonlinear axisymmetric deformations of an elastic tube under external pressure European Journal of Mechanics - A/Solids, 29, pp. 216-229. (doi: 10.1016/j.euromechsol.2009.10.004)

Dorfmann, A., Ogden, R.W. (2010) Nonlinear electroelastostatics: Incremental equations and stability International Journal of Engineering Science, 48, pp. 1-14. (doi: 10.1016/j.ijengsci.2008.06.005)

Destrade, M., Gilchrist, M.D., Ogden, R.W. (2010) Third- and fourth-order elasticities of biological soft tissues Journal of the Acoustical Society of America, 127, pp. 2103-2106. (doi: 10.1121/1.3337232)

2009

Bustamante, R., Dorfmann, A., Ogden, R.W. (2009) On electric body forces and Maxwell stresses in nonlinearly electroelastic solids International Journal of Engineering Science, 47, pp. 1131-1141. (doi: 10.1016/j.ijengsci.2008.10.010)

Holzapfel, G.A., Ogden, R.W. (2009) Constitutive modelling of passive myocardium: a structurally based framework for material characterization Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 367, pp. 3445-3475. (doi: 10.1098/rsta.2009.0091)

Ogden, R.W. (2009) Incremental elastic motions superimposed on a finite deformation in the presence of an electromagnetic field International Journal of Non-Linear Mechanics, 44, pp. 570-580. (doi: 10.1016/j.ijnonlinmec.2008.11.017)

Destrade, M., Ogden, R.W., Saccomandi, G. (2009) Small amplitude waves and stability for a pre-stressed viscoelastic solid Zeitschrift für Angewandte Mathematik und Physik, 60, pp. 511-528. (doi: 10.1007/s00033-008-7147-6)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2009) Nonlinear electroelastostatics: a variational framework Zeitschrift für Angewandte Mathematik und Physik, 60, pp. 154-177. (doi: http://dx.doi.org/10.1007/s00033-007-7145-0)

Ogden, R.W. (2009) Anisotropy and nonlinear elasticity in arterial wall mechanics Springer

(2009) Biomechanical Modelling at the Molecular, Cellular and Tissue Levels

Holzapfel, G.A., Ogden, R.W. (2009) On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework Mathematics and Mechanics of Solids, 14, pp. 474-489. (doi: 10.1177/1081286507084411)

Ciambella, J., Destrade, M., Ogden, R.W. (2009) On the ABAQUS FEA model of finite viscoelasticity Rubber Chemistry and Technology, 82, pp. 184-193.

2008

Gao, D.Y., Ogden, R.W. (2008) Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation Quarterly Journal of Mechanics and Applied Mathematics, 61, pp. 497-522. (doi: 10.1093/qjmam/hbn014)

Zhu, Y., Luo, X.Y., Ogden, R.W. (2008) Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure International Journal of Solids and Structures, 45, pp. 3410-3429. (doi: 10.1016/j.ijsolstr.2008.02.005)

Gao, D.Y., Ogden, R.W. (2008) Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem Zeitschrift für Angewandte Mathematik und Physik, 59, pp. 498-517. (doi: 10.1007/s00033-007-7047-1)

Ottenio, M., Destrade, M., Ogden, R.W. (2008) Incremental magnetoelastic deformations, with application to surface instability Journal of Elasticity, 90, pp. 19-42. (doi: 10.1007/s10659-007-9120-6)

Kassianidis, F., Ogden, R.W., Merodio, J., Pence, T.J. (2008) Azimuthal shear of a transversely isotropic elastic solid Mathematics and Mechanics of Solids, 13, pp. 690-724. (doi: 10.1177/1081286507079830)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2008) On boundary conditions in nonlinear magneto- and electroelasticity Taylor & Francis

Bustamante, R., Dorfmann, A., Ogden, R.W. (2008) On variational formulations in nonlinear magnetoelastostatics Mathematics and Mechanics of Solids, 13, pp. 725-745. (doi: 10.1177/1081286507079832)

2007

Dorfmann, A., Ogden, R.W., Wineman, A.S. (2007) A three-dimensional non-linear constitutive law for magnetorheological fluids, with applications International Journal of Non-Linear Mechanics, 42, pp. 381-390. (doi: 10.1016/j.ijnonlinmec.2007.03.002)

Ogden, R.W., Saccomandi, G., Sgura, I. (2007) Computational aspects of Worm-Like-Chain interpolation formulas Computers and Mathematics with Applications, 53, pp. 276-286. (doi: 10.1016/j.camwa.2006.02.024)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2007) A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution Journal of Engineering Mathematics, 59, pp. 139-153. (doi: 10.1007/s10665-006-9088-4)

Ottenio, M., Destrade, M., Ogden, R.W. (2007) Acoustic waves at the interface of a pre-stressed incompressible elastic solid and a viscous fluid International Journal of Non-Linear Mechanics, 42, pp. 310-320. (doi: 10.1016/j.ijnonlinmec.2006.10.001)

Ogden, R.W. (2007) Incremental statics and dynamics of pre-stressed elastic materials Springer

Ogden, R.W., Saccomandi, G. (2007) Introducing mesoscopic information into constitutive equations for arterial walls Biomechanics and Modeling in Mechanobiology, 6, pp. 333-344. (doi: 10.1007/s10237-006-0064-8)

Holzapfel, G.A., Sommer, G., Auer, M., Regitnig, P., Ogden, R.W. (2007) Layer-specific 3D residual deformations of human aortas with non-atherosclerotic intimal thickening Annals of Biomedical Engineering, 35, pp. 530-545. (doi: 10.1007/s10439-006-9252-z)

Kassianidid, F., Ogden, R. (2007) On large bending deformations of transversely isotropic rectangular elastic blocks Note di Matematica, 27, pp. 131-154. (doi: 10.1285/i15900932v27n2p131)

Steigmann, D. J., Ogden, R. W. (2007) Surface waves supported by thin-film/substrate interactions IMA Journal of Applied Mathematics, 72, pp. 730-747. (doi: 10.1093/imamat/hxm018)

2006

Sgura, I., Saccomandi, G., Ogden, R.W. (2006) On worm-like chain models within the three-dimensional continuum mechanics framework Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 462, pp. 749-768. (doi: 10.1098/rspa.2005.1592)

Guillou, A., Ogden, R.W. (2006) Growth in soft biological tissue and residual stress development Springer-Verlag

Gasser, T.C., Ogden, R.W., Holzapfel, G.A. (2006) Hyperelastic modelling of arterial layers with distributed collagen fibre orientations Journal of the Royal Society: Interface, 3, pp. 15-35. (doi: 10.1098/rsif.2005.0073)

(2006) Mechanics of Biological Tissue

Dorfmann, A., Ogden, R.W. (2006) Nonlinear electroelastic deformations Journal of Elasticity, 82, pp. 99-127. (doi: 10.1007/s10659-005-9028-y)

Bustamante, R., Ogden, R.W. (2006) On nonlinear universal relations in nonlinear elasticity Zeitschrift für Angewandte Mathematik und Physik, 57, pp. 708-721. (doi: 10.1007/s00033-006-0068-3)

Merodio, J., Ogden, R.W. (2006) On the equivalence of strong ellipticity in the material and spatial settings of finite elasticity Zeitschrift für Angewandte Mathematik und Physik, 57, pp. 1096-1101. (doi: 10.1007/s00033-006-0078-1)

Domanski, W., Ogden, R.W. (2006) On the null condition for nonlinearly elastic solids Archives of Mechanics, 58, pp. 339-361.

Merodio, J., Ogden, R.W. (2006) The influence of the invariant I8I8 on the stress–deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids International Journal of Non-Linear Mechanics, 41, pp. 556-563. (doi: 10.1016/j.ijnonlinmec.2006.02.001)

Bustamante, R., Ogden, R.W. (2006) Universal relations for nonlinear electroelastic solids Acta Mechanica, 182, pp. 125-140. (doi: 10.1007/s00707-005-0290-7)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2006) Universal relations in isotropic nonlinear magnetoelasticity Quarterly Journal of Mechanics and Applied Mathematics, 59, pp. 435-450. (doi: 10.1093/qjmam/hbl010)

2005

Dorfmann, A., Ogden, R.W. (2005) Reply to A. Zhong "Discussions on 'A constitutive model for the Mullins effect with permanent set in a particle-reinforced rubber' by A. Dorfmann and R.W. Ogden" International Journal of Solids and Structures, 42, pp. 4909-4910. (doi: 10.1016/j.ijsolstr.2004.12.001)

Dunwoody, J., Ogden, R.W. (2005) Heat conduction and controlled deformations in incompressible isotropic elasticity Mathematics and Mechanics of Solids, 10, pp. 487-502. (doi: 10.1177/1081286505036416)

Merodio, J., Ogden, R.W. (2005) Mechanical response of fiber-reinforced incompressible non-linearly elastic solids International Journal of Non-Linear Mechanics, 40, pp. 213-227. (doi: 10.1016/j.ijnonlinmec.2004.05.003)

Ogden, R.W. (2005) Mechanics of rubberlike solids Springer

Dorfmann, A., Ogden, R.W. (2005) Nonlinear electroelasticity Acta Mechanica, 174, pp. 167-183. (doi: 10.1007/s00707-004-0202-2)

Merodio, J., Ogden, R.W. (2005) On tensile instabilities and ellipticity loss in fiber-reinforced incompressible non-linearly elastic solids Mechanics Research Communications, 32, pp. 290-299. (doi: 10.1016/j.mechrescom.2004.06.008)

Vinh, P.C., Ogden, R.W. (2005) On the Rayleigh wave speed in orthotropic elastic solids Meccanica, 40, pp. 147-161. (doi: 10.1007/s11012-005-1603-6)

Merodio, J., Ogden, R.W. (2005) Remarks on instabilities and ellipticity for a fiber-reinforced compressible nonlinearly elastic solid under plane deformation Quarterly of Applied Mathematics, 63, pp. 325-333.

Dorfmann, A., Ogden, R.W. (2005) Some problems in nonlinear magnetoelasticity Zeitschrift für Angewandte Mathematik und Physik, 56, pp. 718-745. (doi: 10.1007/s00033-004-4066-z)

Destrade, A., Ogden, R.W. (2005) Surface waves in a stretched and sheared incompressible elastic material International Journal of Non-Linear Mechanics, 40, pp. 241-253. (doi: 10.1016/j.ijnonlinmec.2004.05.008)

Merodio, J., Ogden, R.W. (2005) Tensile instabilities and ellipticity in fiber-reinforced compressible non-linearly elastic solids International Journal of Engineering Science, 43, pp. 697-706. (doi: 10.1016/j.ijengsci.2005.01.001)

Dorfmann, A., Ogden, R.W., Saccomandi, G. (2005) The effect of rotation on the nonlinear magnetoelastic response of a circular cylindrical tube International Journal of Solids and Structures, 42, pp. 3700-3715. (doi: 10.1016/j.ijsolstr.2004.11.019)

2004

Horgan, C.O., Ogden, R.W., Saccomandi, G. (2004) A theory of stress softening of elastomers based on finite chain extensibility Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 460, pp. 1737-1754. (doi: 10.1098/rspa.2003.1248)

Kirkinis, E., Ogden, R.W., Haughton, D.M. (2004) Some solutions for a compressible isotropic elastic material Zeitschrift für Angewandte Mathematik und Physik, 55, pp. 136-158. (doi: 10.1007/s00033-003-3048-x)

Dorfmann, A., Ogden, R.W. (2004) A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber International Journal of Solids and Structures, 41, pp. 1855-1878. (doi: 10.1016/j.ijsolstr.2003.11.014)

Holzapfel, G.A., Gasser, T.C., Ogden, R.W. (2004) Comparison of a multi-layer structural model for arterial walls with a fung-type model, and issues of material stability Journal of Biomechanical Engineering, 126, pp. 264-275. (doi: 10.1115/1.1695572)

Ogden, R.W. (2004) Elasticity and inelasticity of rubber Springer

Ogden, R.W., Saccomandi, G., Sgura, I. (2004) Fitting hyperelastic models to experimental data Computational Mechanics, 34, pp. 484-502. (doi: 10.1007/s00466-004-0593-y)

Vinh, P.C., Ogden, R.W. (2004) Formulas for the Rayleigh wave speed in orthotropic elastic solids Archives of Mechanics, 56, pp. 247-265.

(2004) Mechanics and Thermomechanics of Rubberlike Solids 452,

Dorfmann, A., Ogden, R.W. (2004) Nonlinear magnetoelastic deformations Quarterly Journal of Mechanics and Applied Mathematics, 57, pp. 599-622. (doi: 10.1093/qjmam/57.4.599)

Dorfmann, A., Ogden, R.W. (2004) Nonlinear magnetoelastic deformations of elastomers Acta Mechanica, 167, pp. 13-28. (doi: 10.1007/s00707-003-0061-2)

Ogden, R.W., Vinh, P.C. (2004) On Rayleigh waves in incompressible orthotropic elastic solids Journal of the Acoustical Society of America, 115, pp. 530-533. (doi: 10.1121/1.1636464)

Vinh, P.C., Ogden, R.W. (2004) On formulas for the Rayleigh wave speed Wave Motion, 39, pp. 191-197. (doi: 10.1016/j.wavemoti.2003.08.004)

Dorfmann, A., Ogden, R.W., Saccomandi, G. (2004) Universal relations for non-linear magnetoelastic solids International Journal of Non-Linear Mechanics, 39, pp. 1699-1708. (doi: 10.1016/j.ijnonlinmec.2004.03.002)

2003

Kirkinis, E., Ogden, R.W. (2003) On helical shear of a compressible elastic circular cylindrical tube Quarterly Journal of Mechanics and Applied Mathematics, 56, pp. 105-122. (doi: 10.1093/qjmam/56.1.105)

Merodio, J., Ogden, R.W. (2003) A note on strong ellipticity for transversely isotropic linearly elastic solids Quarterly Journal of Mechanics and Applied Mathematics, 56, pp. 589-591. (doi: 10.1093/qjmam/56.4.589)

Dorfmann, A., Ogden, R.W. (2003) A pseudo-elastic model for loading, partial unloading and reloading of particle-reinforced rubber International Journal of Solids and Structures, 40, pp. 2699-2714. (doi: 10.1016/S0020-7683(03)00089-1)

(2003) Biomechanics of Soft Tissue in Cardiovascular Systems 441,

Merodio, J., Ogden, R.W. (2003) Instabilities and loss of ellipticity in fiber-reinforced compressible non-linearly elastic solids under plane deformation International Journal of Solids and Structures, 40, pp. 4707-4727. (doi: 10.1016/S0020-7683(03)00309-3)

Dorfmann, A., Ogden, R.W. (2003) Magnetoelastic modelling of elastomers European Journal of Mechanics - A/Solids, 22, pp. 497-507. (doi: 10.1016/S0997-7538(03)00067-6)

Ogden, R.W. (2003) Nonlinear Elasticity with Application to Material Modelling Polish Academy of Sciences

Ogden, R.W. (2003) Nonlinear elasticity, anisotropy, material stability and residual stresses in soft tissue Springer-Verlag

2002

Dunwoody, J., Ogden, R.W. (2002) On the thermodynamic stability of elastic heat-conducting solids subject to a deformation--temperature constraint Mathematics and Mechanics of Solids, 7, pp. 285-306. (doi: 10.1177/108128602027736)

Merodio, J., Ogden, R.W. (2002) Material instabilities in fibre-reinforced nonlinearly elastic solids under plane deformation Archives of Mechanics, 54, pp. 525-552.

Kirkinis, E., Ogden, R.W. (2002) On extension and torsion of a compressible elastic circular cylinder Mathematics and Mechanics of Solids, 7, pp. 373-392. (doi: 10.1177/108128028476)

Ogden, R.W., Steigmann, D.J. (2002) Plane strain dynamics of elastic solids with intrinsic boundary elasticity, with application to surface wave propagation Journal of the Mechanics and Physics of Solids, 50, pp. 1869-1896. (doi: 10.1016/S0022-5096(02)00006-6)

Dorfmann, A., Fuller, K.N.G., Ogden, R.W. (2002) Shear, compressive and dilatational response of rubberlike solids subject to cavitation damage International Journal of Solids and Structures, 39, pp. 1845-1861. (doi: 10.1016/S0020-7683(02)00008-2)

Gei, M., Ogden, R.W. (2002) Vibration of a surface-coated elastic block subject to bending Mathematics and Mechanics of Solids, 7, pp. 607-628. (doi: 10.1177/108128602029657)

2001

Ogden, R.W. (2001) Stress softening and residual strain in the azimuthal shear of pseudo-elastic circular cylindrical tube International Journal of Non-Linear Mechanics, 36, pp. 477-487. (doi: 10.1016/S0020-7462(00)00080-9)

Hussain, W., Ogden, R.W. (2001) The effect of pre-strain on the reflection and transmission of plane waves at an elastic interface International Journal of Engineering Science, 39, pp. 929-950. (doi: 10.1016/S0020-7225(00)00076-8)

Ogden, R.W. (2001) Elements of the theory of finite elasticity Cambridge University Press

(2001) Nonlinear Elasticity: Theory and Applications (doi: 10.1017/CBO9780511526466)

Ogden, R.W. (2001) Pseudo-elasticity and stress softening Cambridge University Press

2000

Holzapfel, G.A., Gasser, T.C., Ogden, R.W. (2000) A new constitutive framework for arterial wall mechanics and a comparative study of material models Journal of Elasticity, 61, pp. 1-48. (doi: 10.1023/A:1010835316564)

Integrable Systems & Mathematical Physics

Staff

Publications

2021

De Sole, A., Jibladze, M., Kac, V. G., Valeri, D. (2021) Integrable triples in semisimple Lie algebras Letters in Mathematical Physics, 111, (doi: 10.1007/s11005-021-01456-4)

Feigin, M. V., Hallnäs, M. A., Veselov, A. P. (2021) Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence Communications in Mathematical Physics, 386, pp. 107-141. (doi: 10.1007/s00220-021-04036-8)

De Sole, A., Kac, V. G., Jibladze, M., Valeri, D. (2021) Integrability of classical affine W-algebras Transformation Groups, 26, pp. 479-500. (doi: 10.1007/s00031-021-09645-0)

Valeri, D. (2021) W -algebras via Lax type operators Springer

Stedman, R., Strachan, I. A.B. (2021) Extended ⋁-systems and trigonometric solutions to the WDVV equations Journal of Mathematical Physics, 62, (doi: 10.1063/5.0024108)

Korff, C. (2021) Cylindric Hecke characters and Gromov-Witten invariants via the asymmetric six-vertex model Communications in Mathematical Physics, 381, pp. 591-640. (doi: 10.1007/s00220-020-03906-x)

Strachan, I. A.B., Bridgeland, T. (2021) Complex hyperkähler structures defined by Donaldson–Thomas invariants Letters in Mathematical Physics, 111, (doi: 10.1007/s11005-021-01388-z)

2020

Alkadhem, M., Feigin, M. (2020) Trigonometric V-systems and solutions of WDVV equations Journal of Physics A: Mathematical and Theoretical, 54, (doi: 10.1088/1751-8121/abccf8)

Carpentier, S., De Sole, A., Kac, V. G., Valeri, D., Van De Leur, J. (2020) p ̲ -reduced Multicomponent KP hierarchy and classical W -algebras W ( gl N , p ̲ ) Communications in Mathematical Physics, 380, pp. 655-722. (doi: 10.1007/s00220-020-03817-x)

Uuye, O., Zacharias, J. (2020) The Fubini product and its applications Bulletin of the Malaysian Mathematical Sciences Society, 43, pp. 4041-4061. (doi: 10.1007/s40840-020-00909-8)

Gilson, C. R., Hamanaka, M., Huang, S.-C., Nimmo, J. J.C. (2020) Soliton solutions of noncommutative anti-self-dual Yang-Mills equations Journal of Physics A: Mathematical and Theoretical, 53, (doi: 10.1088/1751-8121/aba72e)

Gorbounov, V.G., Korff, C., Stroppel, C. (2020) Yang-Baxter algebras, convolution algebras, and Grassmannians Russian Mathematical Surveys, 75, (doi: 10.1070/RM9959)

Easo, P., Garijo, E., Kaubrys, S., Nkansah, D., Vrabec, M., Watt, D., Wilson, C., Bönicke, C., Evington, S., Forough, M., Girón Pacheco, S., Seaton, N., White, S., Whittaker, M. F., Zacharias, J. (2020) The Cuntz-Toeplitz algebras have nuclear dimension one Journal of Functional Analysis, 279, (doi: 10.1016/j.jfa.2020.108690)

Athorne, C. (2020) Equivariance and algebraic relations for curves Journal of Geometry and Physics, 155, (doi: 10.1016/j.geomphys.2020.103748)

De Sole, A., Kac, V. G., Valeri, D., Wakimoto, M. (2020) Poisson λ-brackets for differential-difference equations International Mathematics Research Notices, 2020, pp. 4144-4190. (doi: 10.1093/imrn/rny242)

Alkadhem, M., Antoniou, G., Feigin, M. (2020) Solutions of BCn type of WDVV equations American Mathematical Society

Korff, C., Palazzo, D. (2020) Cylindric symmetric functions and positivity Algebraic Combinatorics, 3, pp. 191-247. (doi: 10.5802/alco.90)

De Sole, A., Fedele, L., Valeri, D. (2020) Generators of the quantum finite W-algebras in type A Journal of Algebra and Its Applications, 19, (doi: 10.1142/S0219498820501753)

2019

Nimmo, J. J.C., Gilson, C. R., Willox, R. (2019) Darboux dressing and undressing for the ultradiscrete KdV equation Journal of Physics A: Mathematical and Theoretical, 52, (doi: 10.1088/1751-8121/ab45cf)

Athorne, C. (2019) Equivariance in the Theory of Higher Genus ℘-Functions (doi: 10.1063/1.5125069)

De Sole, A., Kac, V. G., Valeri, D., Wakimoto, M. (2019) Local and non-local multiplicative Poisson vertex algebras and differential-difference equations Communications in Mathematical Physics, 370, pp. 1019-1068. (doi: 10.1007/s00220-019-03416-5)

Bosa, J., Tornetta, G., Zacharias, J. (2019) A bivariant theory for the Cuntz semigroup Journal of Functional Analysis, 277, pp. 1061-1111. (doi: 10.1016/j.jfa.2019.05.002)

Genovese, G., Lucà, R., Valeri, D. (2019) Invariant measures for the periodic derivative nonlinear Schrödinger equation Mathematische Annalen, 374, pp. 1075-1138. (doi: 10.1007/s00208-018-1754-0)

Szabo, G., Wu, J., Zacharias, J. (2019) Rokhlin dimension for actions of residually finite groups Ergodic Theory and Dynamical Systems, 39, pp. 2248-2304. (doi: 10.1017/etds.2017.113)

Dubrovin, B., Strachan, I. A.B., Zhang, Y., Zuo, D. (2019) Extended affine Weyl groups of BCD-type: their Frobenius manifolds and their Landau-Ginzburg superpotentials Advances in Mathematics, 351, pp. 897-946. (doi: 10.1016/j.aim.2019.05.030)

Feigin, M., Vrabec, M. (2019) Intertwining operator for AG2 Calogero-Moser-Sutherland system Journal of Mathematical Physics, 60, (doi: 10.1063/1.5090274)

Athorne, C., Yilmaz, H. (2019) Twisted laplace maps Journal of Physics A: Mathematical and Theoretical, 52, (doi: 10.1088/1751-8121/ab1926)

Antoniou, G., Feigin, M. (2019) Supersymmetric V-systems Journal of High Energy Physics, 2019, (doi: 10.1007/JHEP02(2019)115)

Strachan, I. A.B. (2019) A construction of multidimensional Dubrovin-Novikov brackets Journal of Nonlinear Mathematical Physics, 26, pp. 202-213. (doi: 10.1080/14029251.2019.1591716)

2018

De Sole, A., Kac, V. G., Valeri, D. (2018) A Lax type operator for quantum finite W-algebras Selecta Mathematica - New Series, 24, pp. 4617-4657. (doi: 10.1007/s00029-018-0439-6)

Barnett, S. M., Ferenczi, G., Gilson, C. R., Speirits, F. C. (2018) Statistics of photon-subtracted and photon-added states Physical Review A: Atomic, Molecular and Optical Physics, 98, (doi: 10.1103/PhysRevA.98.013809)

De Sole, A., Kac, V. G., Valeri, D. (2018) Classical affine W-algebras and the associated integrable Hamiltonian hierarchies for classical Lie algebras Communications in Mathematical Physics, 360, pp. 851-918. (doi: 10.1007/s00220-018-3142-8)

Feigin, M. V., Veselov, A. P. (2018) ∨-systems, holonomy lie algebras, and logarithmic vector fields International Mathematics Research Notices, 2018, pp. 2070-2098. (doi: 10.1093/imrn/rnw289)

Korff, C., Palazzo, D. (2018) Cylindric reverse plane partitions and 2D TQFT Séminaire Lotharingien de Combinatoire, 80B,

De Sole, A., Kac, V. G., Valeri, D. (2018) Finite W-algebras for glN Advances in Mathematics, 327, pp. 173-224. (doi: 10.1016/j.aim.2017.06.016)

Athorne, C. (2018) Laplace maps and constraints for a class of third order partial differential operators Journal of Physics A: Mathematical and Theoretical, 51, (doi: 10.1088/1751-8121/aaa475)

Bosa, J., Tornetta, G., Zacharias, J. (2018) Open projections and suprema in the Cuntz semigroup Mathematical Proceedings of the Cambridge Philosophical Society, 164, pp. 135-146. (doi: 10.1017/S030500411600089X)

Athorne, C. (2018) Fifty years of mathematical physics: selected works of Ludwig Fadeev Contemporary Physics, 59, pp. 421. (doi: 10.1080/00107514.2018.1538165)

Athorne, C. (2018) Fractals in probability and analysis Contemporary Physics, 59, pp. 429. (doi: 10.1080/00107514.2018.1559228)

Cave, C., Zacharias, J. (2018) Kirchberg-Wassermann exactness vs exactness: reduction to the unimodular totally disconnected case Münster Journal of Mathematics, 11, pp. 217-224. (doi: 10.17879/87109577544)

2017

Gorbounov, V., Korff, C. (2017) Quantum integrability and generalised quantum Schubert calculus Advances in Mathematics, 313, pp. 282-356. (doi: 10.1016/j.aim.2017.03.030)

Strachan, I. A.B., Zuo, D. (2017) Frobenius manifolds and Frobenius algebra-valued integrable systems Letters in Mathematical Physics, 107, pp. 997-1026. (doi: 10.1007/s11005-017-0939-x)

Strachan, I. A.B., Stedman, R. (2017) Generalized Legendre transformations and symmetries of the WDVV equations Journal of Physics A: Mathematical and Theoretical, 50, (doi: 10.1088/1751-8121/aa58b2)

Hawkins, A., Zacharias, J. (2017) Spectral metric spaces on extensions of C*-algebras Communications in Mathematical Physics, 350, pp. 475-506. (doi: 10.1007/s00220-016-2820-7)

Masoero, D., Raimondo, A., Valeri, D. (2017) Bethe Ansatz and the spectral theory of affine Lie algebra–valued connections II: the non simply–laced case Communications in Mathematical Physics, 349, pp. 1063-1105. (doi: 10.1007/s00220-016-2744-2)

Korff, C. (2017) Dimers, crystals and quantum Kostka numbers Seminaire Lotharingien de Combinatoire, 78B.40, pp. 12pp.

2016

De Sole, A., Kac, V. G., Valeri, D. (2016) Classical affine W-algebras for glN and associated integrable Hamiltonian hierarchies Communications in Mathematical Physics, 348, pp. 265-319. (doi: 10.1007/s00220-016-2632-9)

De Sole, A., Kac, V. G., Valeri, D. (2016) A new scheme of integrability for (bi)Hamiltonian PDE Communications in Mathematical Physics, 347, pp. 449-488. (doi: 10.1007/s00220-016-2684-x)

Feigin, M. (2016) The Hilbert series of Λr,s(m). Appendix in Etingof, P., Rains, E. On Cohen–Macaulayness of algebras generated by generalized power sums Communications in Mathematical Physics, 347, pp. 163-182. (doi: 10.1007/s00220-016-2657-0)

Genovese, G., Lucà, R., Valeri, D. (2016) Gibbs measures associated to the integrals of motion of the periodic derivative nonlinear Schrödinger equation Selecta Mathematica - New Series, 22, pp. 1663-1702. (doi: 10.1007/s00029-016-0225-2)

Masoero, D., Raimondo, A., Valeri, D. (2016) Bethe Ansatz and the spectral theory of affine Lie algebra-valued connections I. The simply-laced case Communications in Mathematical Physics, 344, pp. 719-750. (doi: 10.1007/s00220-016-2643-6)

Barnett, S. M., Allen, L., Cameron, R. P., Gilson, C. R., Padgett, M. J., Speirits, F. C., Yao, A. M. (2016) On the natures of the spin and orbital parts of optical angular momentum Journal of Optics, 18, (doi: 10.1088/2040-8978/18/6/064004)

Athorne, C. (2016) Fundamental principles of classical mechanics: a geometrical perspective Contemporary Physics, 57, pp. 238-241. (doi: 10.1080/00107514.2015.1048299)

Athorne, C., Yilmaz, H. (2016) Invariants of hyperbolic partial differential operators Journal of Physics A: Mathematical and Theoretical, 49, (doi: 10.1088/1751-8113/49/13/135201)

Korff, C. (2016) From quantum Bäcklund transforms to topological quantum field theory Journal of Physics A: Mathematical and Theoretical, 49, (doi: 10.1088/1751-8113/49/10/104001)

Adler, V.E., Berest, Y. Y., Buchstaber, V.M., Grinevich, P.G., Dubrovin, B.A., Krichever, I.M., Novikov, S.P., Sergeev, A.N., Feigin, M.V., Felder, G., Ferapontov, E.V., Chalykh, O.A., Etingof, P.I. (2016) Alexander Petrovich Veselov (on his 60th birthday) Russian Mathematical Surveys, 71, pp. 1159-1176. (doi: 10.1070/RM9734)

De Sole, A., Kac, V. G., Valeri, D. (2016) Structure of classical (finite and affine) W-algebras Journal of the European Mathematical Society, 18, pp. 1873-1908. (doi: 10.4171/JEMS/632)

2015

Cameron, R. P., Speirits, F. C., Gilson, C. R., Allen, L., Barnett, S. M. (2015) The azimuthal component of Poynting's vector and the angular momentum of light Journal of Optics, 17, (doi: 10.1088/2040-8978/17/12/125610)

Strachan, I. A.B., Zuo, D. (2015) Integrability of the Frobenius algebra-valued Kadomtsev-Petviashvili hierarchy Journal of Mathematical Physics, 56, (doi: 10.1063/1.4935936)

Feigin, M., Hakobyan, T. (2015) On Dunkl angular momenta algebra Journal of High Energy Physics, 2015, (doi: 10.1007/JHEP11(2015)107)

De Sole, A., Kac, V. G., Valeri, D. (2015) Double Poisson vertex algebras and non-commutative Hamiltonian equations Advances in Mathematics, 281, pp. 1025-1099. (doi: 10.1016/j.aim.2015.05.011)

Gilson, C.R., Nimmo, J.J.C., Nagai, A. (2015) A direct approach to the ultradiscrete KdV equation with negative Journal of Physics A: Mathematical and General, 48, (doi: 10.1088/1751-8113/48/29/295201)

Strachan, I., Brendle, T., Wilson, A. (2015) Online assessment and feedback: how to square the circle

Hirshberg, I., Winter, W., Zacharias, J. (2015) Rokhlin dimension and C*-dynamics Communications in Mathematical Physics, 335, pp. 637-670. (doi: 10.1007/s00220-014-2264-x)

De Sole, A., Kac, V. G., Valeri, D. (2015) Adler-Gelfand-Dickey approach to classical W-Algebras within the theory of Poisson vertex algebras International Mathematics Research Notices, 2015, pp. 11186-11235. (doi: 10.1093/imrn/rnv017)

Bhowmick, J., Voigt, C., Zacharias, J. (2015) Compact quantum metric spaces from quantum groups of rapid decay Journal of Noncommutative Geometry, 9, pp. 1175-1200. (doi: 10.4171/JNCG/220)

Feigin, M. (2015) Propagation of sound waves Mathematical Etudes. Institute of Mathematics of the Russian Academy of Sciences

Athorne, C. (2015) Special functions Wiley-VCH, Verlag GmbH & Co. KGaA

2014

De Sole, A., Kac, V. G., Valeri, D. (2014) Dirac reduction for Poisson vertex algebras Communications in Mathematical Physics, 321, pp. 1155-1190. (doi: 10.1007/s00220-014-2103-0)

De Sole, A., Kac, V. G., Valeri, D. (2014) Classical W-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents Communications in Mathematical Physics, 331, pp. 623-676. (doi: 10.1007/s00220-014-2049-2)

David, L., Strachan, I. A.B. (2014) Symmetries of F-manifolds with eventual identities and special families of connections Annali della Scuola Normale Superiore de Pisa: Classe di Scienze, 13, pp. 641-674. (doi: 10.2422/2036-2145.201205_010)

Strachan, I. B., Szablikowski, B. M. (2014) Novikov algebras and a classification of multicomponent Camassa-Holm equations Studies in Applied Mathematics, 133, pp. 84-117. (doi: 10.1111/sapm.12040)

Korff, C. (2014) Quantum cohomology via vicious and osculating walkers Letters in Mathematical Physics, 104, pp. 771-810. (doi: 10.1007/s11005-014-0685-2)

David, L., Strachan, I. A. B. (2014) tt*-geometry on the big phase space Communications in Mathematical Physics, 329, pp. 295-323. (doi: 10.1007/s00220-014-1964-6)

Feigin, M., Johnston, D. (2014) A class of Baker-Akhiezer arrangements Communications in Mathematical Physics, 328, pp. 1117-1157. (doi: 10.1007/s00220-014-1921-4)

Feigin, M., Silantyev, A. (2014) Generalized Macdonald-Ruijsenaars systems Advances in Mathematics, 250, pp. 144-192. (doi: 10.1016/j.aim.2013.09.001)

Valeri, D. (2014) Classical W-algebras within the theory of Poisson vertex algebras Springer

De Sole, A., Kac, V. G., Valeri, D. (2014) Integrability of Dirac reduced bi-Hamiltonian equations Springer

2013

De Sole, A., Kac, V. G., Valeri, D. (2013) Classical W-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras Communications in Mathematical Physics, 323, pp. 663-711. (doi: 10.1007/s00220-013-1785-z)

Korff, C. (2013) Cylindric versions of specialised Macdonald functions and a deformed Verlinde algebra Communications in Mathematical Physics, 318, pp. 173-246. (doi: 10.1007/s00220-012-1630-9)

Feigin, M.V., Hallnäs, M.A., Veselov, A.P. (2013) Baker-Akhiezer functions and generalised Macdonald-Mehta integrals Journal of Mathematical Physics, 54, pp. 052106. (doi: 10.1063/1.4804615)

Hawkins, A., Skalski, A., White, S., Zacharias, J. (2013) On spectral triples on crossed products arising from equicontinuous actions Mathematica Scandinavica, 113, pp. 262-291.

Feigin, M., Lechtenfeld, O., Polychronakos, A. (2013) The quantum angular Calogero-Moser model Journal of High Energy Physics, 2013, (doi: 10.1007/JHEP07(2013)162)

2012

Morrison, E.K., Strachan, I.A.B. (2012) Polynomial modular Frobenius manifolds Physica D: Nonlinear Phenomena, 241, pp. 2145-2155. (doi: 10.1016/j.physd.2011.12.006)

Feigin, M., Silantyev, A. (2012) Singular polynomials from orbit spaces Compositio Mathematica, 148, pp. 1867-1879. (doi: 10.1112/S0010437X1200036X)

England, M., Athorne, C. (2012) Generalised elliptic functions Central European Journal of Mathematics, 10, pp. 1655-1672. (doi: 10.2478/s11533-012-0083-x)

Athorne, C., Yilmaz, H. (2012) Laplace invariants for general hyperbolic systems Journal of Nonlinear Mathematical Physics, 19, pp. 391-410. (doi: 10.1142/S1402925112500246)

Strachan, I. A.B. (2012) Simple elliptic singularities: a note on their G-function Asian Journal of Mathematics, 16, pp. 409-426. (doi: 10.4310/AJM.2012.v16.n3.a3)

Athorne, C. (2012) On the equivariant algebraic Jacobian for curves of genus two Journal of Geometry and Physics, 62, pp. 724-730. (doi: 10.1016/j.geomphys.2011.12.016)

England, M., Athorne, C. (2012) Building Abelian functions with Baker-Hirota operators Symmetry, Integrability and Geometry: Methods and Applications, 8, pp. 1-36. (doi: 10.3842/SIGMA.2012.037)

Feigin, M. (2012) Generalized Calogero–Moser systems from rational Cherednik algebras Selecta Mathematica - New Series, 18, pp. 253-281. (doi: 10.1007/s00029-011-0074-y)

Feigin, M., Shramov, C. (2012) On unitary submodules in the polynomial representations of rational cherednik algebras International Mathematics Research Notices, 15, pp. 3375-3414. (doi: 10.1093/imrn/rnr140)

2011

Athorne, C. (2011) A generalization of Baker's quadratic formulae for hyperelliptic ℘-functions Physics Letters A, 375, pp. 2689-2693. (doi: 10.1016/j.physleta.2011.05.056)

David, L., Strachan, I. A.B. (2011) Dubrovin's duality for F-manifolds with eventual identities Advances in Mathematics, 226, pp. 4031-4060. (doi: 10.1016/j.aim.2010.11.006)

Korff, C. (2011) The su(n) WZNW fusion ring as integrable model: a new algorithm to compute fusion coefficients RIMS Kokyuroku Bessatsu, B28, pp. 121-153.

2010

Korff, C. (2010) Noncommutative Schur polynomials and the crystal limit of the Uq sl(2)-vertex model Journal of Physics A: Mathematical and Theoretical, 43, pp. 434021. (doi: 10.1088/1751-8113/43/43/434021)

Korff, C., Stroppel, C. (2010) The sl(n)k-WZNW fusion ring: a combinatorial construction and a realisation as quotient of quantum cohomology Advances in Mathematics, 225, pp. 200-268. (doi: 10.1016/j.aim.2010.02.021)

Winter, W., Zacharias, J. (2010) The nuclear dimension of C*-algebras Advances in Mathematics, 224, pp. 461-498. (doi: 10.1016/j.aim.2009.12.005)

Skalski, A., Zacharias, J. (2010) Approximation properties and entropy estimates for crossed products by actions of amenable discrete quantum groups Journal of the London Mathematical Society, 82, pp. 184-202. (doi: 10.1112/jlms/jdq023)

Morrison, E.K., Strachan, I. (2010) Modular frobenius manifolds and their invariant flows International Mathematics Research Notices, 2011, pp. 3957-3982. (doi: 10.1093/imrn/rnq236)

Skalski, A., Zacharias, J. (2010) On approximation properties of Pimsner algebras and crossed products by Hilbert bimodules Rocky Mountain Journal of Mathematics, 40, pp. 609-625.

Skalski, A., Zacharias, J. (2010) Poisson transform for higher-rank graph algebras and its applications Journal of Operator Theory, 63, pp. 425-454.

(2010) Proceedings of the Workshop "Geometric Aspects of Discrete and Ultra-Discrete Integrable Systems" (March 30 − April 3, 2009, University of Glasgow, UK)

Strachan, I.A.B. (2010) Weyl groups and elliptic solutions of the WDVV equations Advances in Mathematics, 224, pp. 1801-1838. (doi: 10.1016/j.aim.2010.01.013)

2009

Feigin, M., Korff, C., Strachan, I. (2009) Workshop island 3: algebraic aspects of integrability. Introduction to an additional volume of selected papers arising from the conference on algebraic aspects of integrable systems, Island 3, Islay 2007 Glasgow Mathematical Journal, 51, pp. 1-3. (doi: 10.1017/S0017089508004734)

Gilson, C.R., Hamanaka, M., Nimmo, J.J.C. (2009) Bäcklund transformations for noncommutative anti-self-dual Yang-Mills equations Glasgow Mathematical Journal, 51, pp. 83-93. (doi: 10.1017/S0017089508004801)

Korff, C., Stroppel, C. (2009) A combinatorial description of the sl(n) fusion ring Oberwolfach Reports, 6, pp. 846-850. (doi: 10.4171/OWR/2009/15)

Skalski, A., Zacharias, J. (2009) A note on spectral triples and quasidiagonality Expositiones Mathematicae, 27, pp. 137-141. (doi: 10.1016/j.exmath.2008.10.007)

Athorne, C. (2009) Applications of Transvectants Springer-Verlag

Gilson, C. R., Hamanaka, M., Nimmo, J. J. C. (2009) Backlund transformations and the Atiyah-Ward ansatz for non-commutative anti-self-dual Yang-Mills equations Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 465, pp. 2613-2632. (doi: 10.1098/rspa.2008.0515)

Winter, W., Zacharias, J. (2009) Completely positive maps of order zero Munster Journal of Mathematics, 2, pp. 311-324.

Strachan, I.A.B. (2009) Differential and Functional Identities for the Elliptic Trilogarithm Symmetry, Integrability and Geometry: Methods and Applications, 5, pp. 031. (doi: 10.3842/SIGMA.2009.031)

Gilson, C.R., Macfarlane, S.R. (2009) Dromion solutions of noncommutative Davey–Stewartson equations Journal of Physics A: Mathematical and Theoretical, 42, pp. 235202. (doi: 10.1088/1751-8113/42/23/235202)

Feigin, M. (2009) Trigonometric solutions of WDVV equations and generalized Calogero-Moser-Sutherland systems Symmetry, Integrability and Geometry: Methods and Applications, 5, pp. 088. (doi: 10.3842/SIGMA.2009.088)

2008

Athorne, C. (2008) Identities for hyperelliptic ℘-functions of genus one, two and three in covariant form Journal of Physics A: Mathematical and Theoretical, 41, pp. 5202. (doi: 10.1088/1751-8113/41/41/415202)

Korff, C. (2008) PT symmetry of the non-Hermitian XX spin-chain: non-local bulk interaction from complex boundary fields Journal of Physics A: Mathematical and Theoretical, 41, pp. 295206. (doi: 10.1088/1751-8113/41/29/295206)

Korff, C. (2008) Turning the quantum group invariant XXZ spin-chain Hermitian: a conjecture on the invariant product Journal of Physics A: Mathematical and Theoretical, 41, pp. 194013. (doi: 10.1088/1751-8113/41/19/194013)

Ferguson, J., Strachan, I.A.B. (2008) Logarithmic deformations of the rational superpotential/Landau-Ginzburg construction of solutions of the WDVV equations Communications in Mathematical Physics, 280, pp. 1-25. (doi: 10.1007/s00220-008-0464-y)

Gilson, C.R., Nimmo, J.J.C., Sooman, C.M. (2008) On a direct approach to quasideterminant solutions of a noncommutative modified KP equation Journal of Physics A: Mathematical and Theoretical, 41, pp. 085202. (doi: 10.1088/1751-8113/41/8/085202)

Skalski, A., Zacharias, J. (2008) Entropy of shifts on higher-rank graph C*-algebras Houston Journal of Mathematics, 34, pp. 269-282.

Skalski, A., Zacharias, J. (2008) Noncommutative topological entropy of endomorphisms of Cuntz algebras Letters in Mathematical Physics, 86, pp. 115-134. (doi: 10.1007/s11005-008-0279-y)

Feigin, M., Veselov, A.P. (2008) On the geometry of V-systems American Mathematical Society

Skalski, A., Zacharias, J. (2008) Wold decomposition for representations of product systems of C* corrrespondences International Journal of Mathematics, 19, pp. 455-479. (doi: 10.1142/S0129167X08004765)

2007

Gilson, C.R., Nimmo, J.J.C., Ohta, Y. (2007) Quasideterminant solutions of a non-Abelian Hirota-Miwa equation Journal of Physics A: Mathematical and Theoretical, 40, pp. 12607-12617. (doi: 10.1088/1751-8113/40/42/S07)

Dunajski, M., Grant, J.D.E., Strachan, I.A.B. (2007) Multidimensional integrable systems and deformations of Lie algebra homomorphisms Journal of Mathematical Physics, 48, pp. 093502. (doi: 10.1063/1.2777008)

Korff, C., Weston, R. (2007) PT symmetry on the lattice: the quantum group invariant XXZ spin chain Journal of Physics A: Mathematical and Theoretical, 40, pp. 8845-8872. (doi: 10.1088/1751-8113/40/30/016)

Feigin, M., Veselov, A.P. (2007) Logarithmic Frobenius structures and Coxeter discriminants Advances in Mathematics, 212, pp. 143-162. (doi: 10.1016/j.aim.2006.08.010)

Korff, C. (2007) A Q-operator for the quantum transfer matrix Journal of Physics A: Mathematical and Theoretical, 40, pp. 3749-3774. (doi: 10.1088/1751-8113/40/14/002)

Gilson, C.R., Nimmo, J.J.C. (2007) On a direct approach to quasideterminant solutions of a noncommutative KP equation Journal of Physics A: Mathematical and Theoretical, 40, pp. 3839-3850. (doi: 10.1088/1751-8113/40/14/007)

Riley, A., Strachan, I.A.B. (2007) A note on the relationship between rational and trigonometric solutions of the WDVV equations Journal of Nonlinear Mathematical Physics, 14, pp. 82-94. (doi: 10.2991/jnmp.2007.14.1.7)

Korff, C. (2007) PT-invariance and representations of the Temperley-Lieb algebra on the unit circle

2006

Feigin, M. (2006) On the logarithmic solutions of the WDVV equations Czechoslovak Journal of Physics, 56, pp. 1149-1153. (doi: 10.1007/s10582-006-0416-8)

David, L., Strachan, I.A.B. (2006) Conformally flat pencils of metrics, Frobenius structures and a modified Saito construction Journal of Geometry and Physics, 56, pp. 1561-1575. (doi: 10.1016/j.geomphys.2005.08.003)

Riley, A., Strachan, I.A.B. (2006) Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations Letters in Mathematical Physics, 77, pp. 221-234. (doi: 10.1007/s11005-006-0096-0)

Korff, C. (2006) A Q-operator for the twisted XXX model Journal of Physics A: Mathematical and General, 39, pp. 3203-3219. (doi: 10.1088/0305-4470/39/13/002)

Croke, S., Andersson, E., Barnett, S.M., Gilson, C.R., Jeffers, J. (2006) Maximum confidence quantum measurements Physical Review Letters, 96, pp. 070401. (doi: 10.1103/PhysRevLett.96.070401)

Fring, A., Korff, C. (2006) Non-crystallographic reduction of generalized Calogero–Moser models Journal of Physics A: Mathematical and General, 39, pp. 1115-1131. (doi: 10.1088/0305-4470/39/5/007)

Athorne, C. (2006) Algebraic Hirota maps Springer

Bhat, B.V.R., Dey, S., Zacharias, J. (2006) Minimal Cuntz-Krieger dilations and representations of Cuntz-Krieger algebras Proceedings Mathematical Sciences, 116, pp. 193-220. (doi: 10.1007/BF02829787)

Chen, Y., Feigin, M. (2006) Painlevé IV and degenerate Gaussian unitary ensembles Journal of Physics A: Mathematical and General, 39, pp. 12381-12393. (doi: 10.1088/0305-4470/39/40/007)

Korff, C. (2006) Representation theory and Baxter's TQ equation for the six-vertex model. A pedagogical overview.

2005

Athorne, C. (2005) A novel approcah to the theory of Pade approximants Journal of Nonlinear Mathematical Physics, 12, pp. 15-27. (doi: 10.2991/jnmp.2005.12.s2.2)

Feigin, M. (2005) Bispectrality for deformed Calogero­-Moser­-Sutherland systems Journal of Nonlinear Mathematical Physics, 12, pp. 95-136. (doi: 10.2991/jnmp.2005.12.s2.8)

Gilson, C.R., Nimmo, J.J.C. (2005) The relation between a 2D Lotka-Volterra equation and a 2D Toda lattice Journal of Nonlinear Mathematical Physics, 12, pp. 169-179. (doi: 10.2991/jnmp.2005.12.s2.12)

Fring, A., Korff, C. (2005) Affine Toda field theories related to Coxeter groups of noncrystallographic type Nuclear Physics B, 729, pp. 361-386. (doi: 10.1016/j.nuclphysb.2005.08.044)

Korff, C. (2005) A Q-operator identity for the correlation functions of the infinite XXZ spin-chain Journal of Physics A: Mathematical and General, 38, pp. 6641-6657. (doi: 10.1088/0305-4470/38/30/002)

Korff, C. (2005) Auxiliary matrices on both sides of the equator Journal of Physics A: Mathematical and General, 38, pp. 47-67. (doi: 10.1088/0305-4470/38/1/003)

Popescu, I., Zacharias, J. (2005) E-theoretic duality for higher rank graph algebras K-Theory, 34, pp. 265-282. (doi: 10.1007/s10977-005-5544-6)

Kokotov, A., Strachan, I.A.B. (2005) On the isomonodromic tau-function for the Hurwitz spaces of branched coverings of genus zero and one Mathematical Research Letters, 12, pp. 857-876.

Korff, C. (2005) Solving Baxter's TQ equation via representation theory American Mathematical Society

Zacharias, J. (2005) Topological entropy of quotients and extensions World Scientific

2004

Fring, A., Korff, C. (2004) Exactly solvable potentials of Calogero type for q-deformed Coxeter groups Journal of Physics A: Mathematical and General, 37, pp. 10931-10949. (doi: 10.1088/0305-4470/37/45/012)

Feigin, M. (2004) Quasi-invariants of dihedral systems Mathematical Notes, 76, pp. 723-737. (doi: 10.1023/B:MATN.0000049671.38147.7e)

Athorne, C. (2004) The representation theory of Pade approximants Journal of Physics A: Mathematical and General, 37, pp. 7699-7710. (doi: 10.1088/0305-4470/37/31/004)

Korff, C. (2004) Auxiliary matrices for the six-vertex model and the algebraic Bethe ansatz Journal of Physics A: Mathematical and General, 37, pp. 7227-7253. (doi: 10.1088/0305-4470/37/29/005)

Athorne, C., Eilbeck, J.C., Enolskii, V.Z. (2004) A SL(2) covariant theory of genus 2 hyperelliptic functions Mathematical Proceedings of the Cambridge Philosophical Society, 136, pp. 269-286. (doi: 10.1017/S030500410300728X)

Korff, C. (2004) The twisted XXZ chain at roots of unity revisited Journal of Physics A: Mathematical and General, 37, pp. 1681-1689. (doi: 10.1088/0305-4470/37/5/014)

Korff, C. (2004) Auxiliary matrices for the six-vertex model at qN = 1: II. Bethe roots, complete strings and the Drinfeld polynomial Journal of Physics A: Mathematical and General, 37, pp. 385-406. (doi: 10.1088/0305-4470/37/2/009)

Strachan, I.A.B. (2004) Frobenius manifolds: natural submanifolds and induced bi-Hamiltonian structures Differential Geometry and its Applications, 20, pp. 67-99. (doi: 10.1016/j.difgeo.2003.10.001)

David, L., Strachan, I.A.B. (2004) Compatible metrics on a manifold and nonlocal Bi-hamiltonian structures International Mathematics Research Notices, 66, pp. 3533-3557. (doi: 10.1155/S1073792804142359)

2003

Strachan, I.A.B. (2003) How to count curves: from nineteenth-century problems to twenty-first-century solutions Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 361, pp. 2633-2647. (doi: 10.1098/rsta.2003.1261)

Athorne, C., Eilbeck, J.C., Enolskii, V.Z. (2003) Identities for the classical genus two p function Journal of Geometry and Physics, 48, pp. 354-368. (doi: 10.1016/S0393-0440(03)00048-2)

Athorne, C. (2003) Covariant hyperelliptic functions of genus two Theoretical and Mathematical Physics, 137, pp. 1359-1366. (doi: 10.1023/A:1026088203139)

Gilson, C., Hietarinta, J., Nimmo, J.J.C., Ohta, Y. (2003) Sasa-Satsuma higher-order nonlinear Schrodinger equation and its bilinearization and multisoliton solutions Physical Review E, 68, pp. 016614. (doi: 10.1103/PhysRevE.68.016614)

Korff, C. (2003) Auxiliary matrices for the six-vertex model at qN = 1 and a geometric interpretation of its symmetries Journal of Physics A: Mathematical and General, 36, pp. 5229-5266. (doi: 10.1088/0305-4470/36/19/305)

Hunter, K., Andersson, E., Gilson, C.R., Barnett, S.M. (2003) Maximum fidelity for a mirror symmetric set of qubit states Journal of Physics A: Mathematical and General, 36, pp. 4159-4172. (doi: 10.1088/0305-4470/36/14/317)

Feigin, M. (2003) Intertwining relations for the spherical parts of generalized Calogero operators Theoretical and Mathematical Physics, 135, pp. 497-509. (doi: 10.1023/A:1023231402145)

Gilson, C.R., Hu, X.-B., Ma, W.-X., Tam, H.-W. (2003) Two integrable differential-difference equations derived from the discrete BKP equation and their related equations Physica D: Nonlinear Phenomena, 175, pp. 177-184. (doi: 10.1016/S0167-2789(02)00736-4)

Strachan, I.A.B. (2003) Deformations of the Monge/Riemann hierarchy and approximately integrable systems Journal of Mathematical Physics, 44, pp. 251-262. (doi: 10.1063/1.1522134)

Hirshberg, I., Zacharias, J. (2003) On the structure of spectral algebras and their generalizations American Mathematical Society

Feigin, M., Veselov, A.P. (2003) Quasi-invariants and quantum integrals of the deformed Calogero-Moser systems International Mathematics Research Notices, 2003, pp. 2487-2511. (doi: 10.1155/S1073792803130826)

Strachan, I.A.B. (2003) Symmetries and solutions of Getzler's equation for Coxeter and extended affine Weyl Frobenius manifolds International Mathematics Research Notices, 2003, pp. 1035-1051. (doi: 10.1155/S107379280320502X)

2002

Gilson, C.R. (2002) Generalizing the KP hierarchies: Pfaffian hierarchies Theoretical and Mathematical Physics, 133, pp. 1663-1674. (doi: 10.1023/A:1021314325242)

Gilson, C.R., Hu, X.-B., Barnett, S.M. (2002) On multiple soliton solutions of some simple differential-difference equations Inverse Problems, 18, pp. 1499-1508. (doi: 10.1088/0266-5611/18/6/304)

Dancer, A.S., Strachan, I.A.B. (2002) Einstein metrics on tangent bundles of spheres Classical and Quantum Gravity, 19, pp. 4663-4670. (doi: 10.1088/0264-9381/19/18/303)

Korff, C., Seaton, K.A. (2002) Universal amplitude ratios and Coxeter geometry in the dilute AL model Nuclear Physics B, 636, pp. 435-464. (doi: 10.1016/S0550-3213(02)00438-8)

Korff, C., Roditi, I. (2002) Quantum superalgebras at roots of unity and non-Abelian symmetries of integrable models Journal of Physics A: Mathematical and General, 35, pp. 5115-5137. (doi: 10.1088/0305-4470/35/24/310)

Andersson, E., Barnett, S.M., Gilson, C.R., Hunter, K. (2002) Minimum-error discrimination between three mirror-symmetric states Physical Review A: Atomic, Molecular and Optical Physics, 65, pp. 052308. (doi: 10.1103/PhysRevA.65.052308)

Yilmaz, H., Athorne, C. (2002) The geometrically invariant form of evolution equations Journal of Physics A: Mathematical and General, 35, pp. 2619-2625. (doi: 10.1088/0305-4470/35/11/308)

Strachan, I.A.B. (2002) Frobenius manifolds and the biHamiltonian structure on discriminant hypersurfaces American Mathematical Society

Feigin, M., Veselov, A.P. (2002) Quasi-invariants of Coxeter groups and m-harmonic polynomials International Mathematics Research Notices, 2002, pp. 521-545. (doi: 10.1155/S1073792802106064)

2001

Korff, C., McCoy, B.M. (2001) Loop symmetry of integrable vertex models at roots of unity Nuclear Physics B, 618, pp. 551-569. (doi: 10.1016/S0550-3213(01)00417-5)

Gilson, C.R., Nimmo, J.J.C., Tsujimoto, S. (2001) Pfaffianization of the discrete KP equation Journal of Physics A: Mathematical and General, 34, pp. 10569-10575. (doi: 10.1088/0305-4470/34/48/320)

Strachan, I.A.B. (2001) Deformations of dispersionless KdV hierarchies Letters in Mathematical Physics, 58, pp. 129-140. (doi: 10.1023/A:1013370516221)

Athorne, C. (2001) On solving a class of unbalanced Ermakov-Pinney systems Journal of Physics A: Mathematical and General, 34, pp. L563-L566. (doi: 10.1088/0305-4470/34/42/101)

Barnett, S.M., Gilson, C.R., Sasaki, M. (2001) Fidelity and the communication of quantum information Journal of Physics A: Mathematical and General, 34, pp. 6755-6766. (doi: 10.1088/0305-4470/34/35/303)

Gilson, C.R., Nimmo, J.J.C. (2001) Pfaffianization of the Davey-Stewartson equations Theoretical and Mathematical Physics, 128, pp. 870-882.

Ohta, Y., Nimmo, J.J.C., Gilson, C.R. (2001) A bilinear approach to a Pfaffian self-dual Yang-Mills equation Glasgow Mathematical Journal, 43, pp. 99-108. (doi: 10.1017/S001708950100009X)

Strachan, I.A.B. (2001) Frobenius submanifolds Journal of Geometry and Physics, 38, pp. 285-307. (doi: 10.1016/S0393-0440(00)00064-4)

Athorne, C. (2001) Hirota derivatives and representation theory Glasgow Mathematical Journal, 43, pp. 1-8. (doi: 10.1017/S0017089501000015)

McCarthy, O.D., Strachan, I.A.B. (2001) Unitized Jordan algebras and dispersionless KdV equations Journal of Physics A: Mathematical and General, 34, pp. 2435-2442. (doi: 10.1088/0305-4470/34/11/332)

Korff, C. (2001) Colours associated to nonsimply-laced Lie algebras and exact S-matrices Physics Letters B, 501, pp. 289-296. (doi: 10.1016/S0370-2693(01)00164-2)

Zacharias, J. (2001) Endomorphisms of continuous Cuntz algebras Journal of Operator Theory, 46, pp. 561-577.

Zacharias, J. (2001) Splitting for subalgebras of tensor products Proceedings of the American Mathematical Society, 129, pp. 407-413.

2000

Zacharias, J. (2000) Pure infiniteness of spectral algebras Journal of Functional Analysis, 178, pp. 381-395. (doi: 10.1006/jfan.2000.3661)

Strachan, I.A.B. (2000) Jordan manifolds and dispersionless KdV equations Journal of Nonlinear Mathematical Physics, 7, pp. 495-510. (doi: 10.2991/jnmp.2000.7.4.7)

Castro-Alveredo, O., Fring, A., Korff, C. (2000) Form factors of the homogeneous Sine-Gordon models Physics Letters B, 484, pp. 167-176. (doi: 10.1016/S0370-2693(00)00565-7)

Korff, C., Castro-Alveredo, O., Fring, A., Miramontes, J. (2000) Thermodynamic Bethe Ansatz of the homogeneous sine-gordon models Nuclear Physics B, 575, pp. 535-560. (doi: 10.1016/S0550-3213(00)00162-0)

Fring, A., Korff, C., Schulz, B. (2000) On the universal representation of the scattering matrix of affine Toda field theory Nuclear Physics B, 567, pp. 409-453. (doi: 10.1016/S0550-3213(99)00578-7)

Athorne, C. (2000) Darboux maps andD-modules Theoretical and Mathematical Physics, 122, pp. 135-139. (doi: 10.1007/BF02551191)

Strachan, I.A.B. (2000) Degenerate bi-Hamiltonian structures of the hydrodynamic type Theoretical and Mathematical Physics, 122, pp. 247-255. (doi: 10.1007/BF02551201)

Fring, A., Korff, C. (2000) Colour valued scattering matrices Physics Letters B, 477, pp. 380-386. (doi: 10.1016/S0370-2693(00)00226-4)

Zacharias, J. (2000) Continuous Tensor Products and Arveson's Spectral C*-algebras American Mathematical Society

Fring, A., Korff, C. (2000) Large and small density approximations to the thermodynamic Bethe Ansatz Nuclear Physics B, 579, pp. 617-631. (doi: 10.1016/S0550-3213(00)00250-9)

Zacharias, J. (2000) Quasi free automorphisms of Cuntz-Krieger-Pimsner-algebras Springer

1999

Feigin, M.V. (1999) Singular operators satisfying an intertwining relation Theoretical and Mathematical Physics, 121, pp. 1478-1483.

Strachan, I.A.B. (1999) Degenerate Frobenius manifolds and the bi-Hamiltonian structure of rational Lax equations Journal of Mathematical Physics, 40, pp. 5058-5079. (doi: 10.1063/1.533015)

Chalykh, O.A., Feigin, M.V., Veselov, A.P. (1999) Multidimensional Baker-Akhiezer functions and Huygens' principle Communications in Mathematical Physics, 206, pp. 533-566. (doi: 10.1007/PL00005521)

Grant, J. D.E., Strachan, I.A.B. (1999) Hypercomplex integrable systems Nonlinearity, 12, pp. 1247-1261. (doi: 10.1088/0951-7715/12/5/302)

Athorne, C. (1999) On the Lie symmetry algebra of a general ordinary differential equation Journal of Physics A: Mathematical and General, 31, pp. 6605-6614. (doi: 10.1088/0305-4470/31/31/008)

Speight, J.M., Strachan, I.A.B. (1999) Gravity thaws the frozen moduli of the ℂP1 lump Physics Letters B, 457, pp. 17-22. (doi: 10.1016/S0370-2693(99)00526-2)

Fring, A., Korff, C., Schulz, B. (1999) The ultraviolet behaviour of integrable quantum field theories, affine Toda field theory Nuclear Physics B, 549, pp. 579-612. (doi: 10.1016/S0550-3213(99)00216-3)

Athorne, C. (1999) Algebraic invariants and generalized hirota derivatives Physics Letters A, 256, pp. 20-24. (doi: 10.1016/S0375-9601(99)00202-9)

Athorne, C. (1999) Projective lifts and generalised Ermakov and Bernoulli systems Journal of Mathematical Analysis and Applications, 233, pp. 552-563. (doi: 10.1006/jmaa.1999.6305)

Korff, C., Lang, G., Schrader, R. (1999) Two-particle scattering theory for anyons Journal of Mathematical Physics, 40, pp. 1831-1869.

1998

Chalykh, O.A., Feigin, M., Veselov, A.P. (1998) New integrable generalizations of Calogero-Moser quantum problem Journal of Mathematical Physics, 39, pp. 695-703. (doi: 10.1063/1.532347)

1997

Athorne, C. (1997) Symmetries of linear ordinary differential equations Journal of Physics A: Mathematical and General, 30, pp. 4639-4649. (doi: 10.1088/0305-4470/30/13/015)

Strachan, I.A.B. (1997) A geometry for multidimensional integrable systems Journal of Geometry and Physics, 21, pp. 255-278. (doi: 10.1016/S0393-0440(96)00019-8)

1996

Fairlie, D.B., Strachan, I.A.B. (1996) The algebraic and Hamiltonian structure of the dispersionless Benney and Toda hierarchies Inverse Problems, 12, pp. 885-908. (doi: 10.1088/0266-5611/12/6/006)

Strachan, I.A.B. (1996) The dispersive self-dual Einstein equations and the Toda lattice Journal of Physics A: Mathematical and General, 29, pp. 6117-6124. (doi: 10.1088/0305-4470/29/18/036)

Strachan, I.A.B. (1996) On the integrability of a third-order Monge-Ampère type equation Physics Letters A, 210, pp. 267-272. (doi: 10.1016/0375-9601(95)00944-2)

Fairlie, D.B., Strachan, I.A.B. (1996) The Hamiltonian structure of the dispersionless Toda hierarchy Physica D: Nonlinear Phenomena, 90, pp. 1-8. (doi: 10.1016/0167-2789(95)00229-4)

Veselov, A.P., Feigin, M.V., Chalykh, O.A. (1996) New integrable deformations of quantum Calogero-Moser problem Russian Mathematical Surveys, 51, pp. 573-574. (doi: 10.1070/RM1996v051n03ABEH002956)

1995

Athorne, C. (1995) A Toda system Physics Letters A, 206, pp. 162-166. (doi: 10.1016/0375-9601(95)00643-H)

Strachan, I.A.B. (1995) The symmetry structure of the anti-self-dual Einstein hierarchy Journal of Mathematical Physics, 36, pp. 3566-3573. (doi: 10.1063/1.530982)

Strachan, I.A.B. (1995) The Moyal bracket and the dispersionless limit of the KP hierarchy Journal of Physics A: Mathematical and General, 28, pp. 1967-1975. (doi: 10.1088/0305-4470/28/7/018)

1994

Strachan, I.A.B. (1994) Moduli space metrics for axially symmetric instantons Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 446, pp. 479-397. (doi: 10.1098/rspa.1994.0116)

Strachan, I. A.B. (1994) Integrable and near-integrable dynamical systems associated with Bianchi IX metrics Theoretical and Mathematical Physics, 99, pp. 790-795. (doi: 10.1007/BF01017069)

Hartl, T., Athorne, C. (1994) Solvable structures and hidden symmetries Journal of Physics A: Mathematical and General, 27, pp. 3463-3474. (doi: 10.1088/0305-4470/27/10/022)

1993

Strachan, I.A.B. (1993) Hierarchy of conservation laws for self-dual gravity Classical and Quantum Gravity, 10, pp. 1417-1423. (doi: 10.1088/0264-9381/10/7/017)

Strachan, I.A.B. (1993) Some integrable hierarchies in (2+1) dimensions and their twistor description Journal of Mathematical Physics, 34, pp. 243-259. (doi: 10.1063/1.530379)

1992

Strachan, I.A.B. (1992) Wave solutions of a (2+1)-dimensional generalization of the nonlinear Schrödinger equation Inverse Problems, 8, pp. L21-L27. (doi: 10.1088/0266-5611/8/5/001)

Strachan, I.A.B. (1992) A new family of integrable models in (2+1) dimensions associated with Hermitian symmetric spaces Journal of Mathematical Physics, 33, pp. 2477-2482. (doi: 10.1063/1.529617)

Strachan, I.A.B. (1992) The Moyal algebra and integrable deformations of the self-dual Einstein equations Physics Letters B, 283, pp. 63-66. (doi: 10.1016/0370-2693(92)91427-B)

Strachan, I.A.B. (1992) Low-velocity scattering of vortices in a modified Abelian Higgs model Journal of Mathematical Physics, 33, pp. 102-110. (doi: 10.1063/1.529949)

1991

Strachan, I.A.B. (1991) Self-dual Yang-Mills fields and the non-linear Schrödinger equation Physics Letters A, 154, pp. 123-126. (doi: 10.1016/0375-9601(91)90748-W)

Mathematical Biology

Staff

Publications

2021

Candelaresi, S., Hornig, G., MacTaggart, D., Simitev, R. D. (2021) On self and mutual winding helicity Communications in Nonlinear Science and Numerical Simulation, 103, (doi: 10.1016/j.cnsns.2021.106015)

Wang, D.Y., Luo, X.Y., Stewart, P.S. (2021) Energetics of collapsible channel flow with a nonlinear fluid-beam model Journal of Fluid Mechanics, 926, (doi: 10.1017/jfm.2021.642)

Melnikov, A., Ogden, R. W., Dorfmann, L., Merodio, J. (2021) Bifurcation analysis of elastic residually-stressed circular cylindrical tubes International Journal of Solids and Structures, 226-27, (doi: 10.1016/j.ijsolstr.2021.111062)

Romaszko, L., Borowska, A., Lazarus, A., Dalton, D., Berry, C., Luo, X., Husmeier, D., Gao, H. (2021) Neural network-based left ventricle geometry prediction from CMR images with application in biomechanics Artificial Intelligence In Medicine, 119, (doi: 10.1016/j.artmed.2021.102140)

Hadley, L., Challenor, P., Dent, C., Isham, V., Mollison, D., Robertson, D.A., Swallow, B., Webb, C. R. (2021) Challenges on the interaction of models and policy for pandemic control Epidemics, (doi: 10.1016/j.epidem.2021.100499)

Brass, D. P., Cobbold, C. A., Ewing, D. A., Purse, B. V., Callaghan, A., White, S. M. (2021) Phenotypic plasticity as a cause and consequence of population dynamics Ecology Letters, (doi: 10.1111/ele.13862)

Guan, D., Luo, X., Gao, H. (2021) Constitutive modelling of soft biological tissue from ex vivo to in vivo: myocardium as an example Springer

Feng, L., Gao, H., Qi, N., Danton, M., Hill, N. A., Luo, X. (2021) Fluid-structure interaction in a fully coupled three-dimensional mitral-atrium-pulmonary model Biomechanics and Modeling in Mechanobiology, 20, pp. 1267-1295. (doi: 10.1007/s10237-021-01444-6)

Huang, R., Ogden, R., Penta, R. (2021) Mathematical modelling of residual-stress based volumetric growth in soft matter Journal of Elasticity, 145, pp. 223-241. (doi: 10.1007/s10659-021-09834-8)

Dalton, D., Lazarus, A., Rabbani, A., Gao, H., Husmeier, D. (2021) Graph Neural Network Emulation of Cardiac Mechanics

Miller, L., Penta, R. (2021) Double poroelasticity derived from the microstructure Acta Mechanica, (doi: 10.1007/s00707-021-03030-4)

Wang, D., Luo, X., Stewart, P. S. (2021) Multiple steady and oscillatory solutions in a collapsible channel flow International Journal of Applied Mechanics, (doi: 10.1142/S1758825121500587)

Miller, L., Penta, R. (2021) Homogenized balance equations for nonlinear poroelastic composites Applied Sciences, 11, (doi: 10.3390/app11146611)

Cai, L., Zhang, R., Li, Y., Zhu, G., Ma, X., Wang, Y., Luo, X., Gao, H. (2021) The comparison of different constitutive laws and fiber architectures for the aortic valve on fluid-structure interaction simulation Frontiers in Physiology, 12, (doi: 10.3389/fphys.2021.682893)

Quinn, J., MacTaggart, D., Simitev, R. D. (2021) Kelvin-Helmholtz instability and collapse of a twisted magnetic nullpoint with anisotropic viscosity Astronomy and Astrophysics, 650, (doi: 10.1051/0004-6361/202140460)

Swallow, B. (2021) A review of Applied Hierarchical Modeling in Ecology: Volume 2 by Kéry and Royle Journal of Agricultural, Biological, and Environmental Statistics, 26, pp. 325-327. (doi: 10.1007/s13253-021-00440-8)

Macnamara, C. (2021) Biomechanical modelling of cancer: Agent‐based force‐based models of solid tumours within the context of the tumour microenvironment Computational and Systems Oncology, 1, (doi: 10.1002/cso2.1018)

Cruz-González, O.L., Ramírez-Torres, A., Rodríguez-Ramos, R., Otero, J.A., Penta, R., Lebon, F. (2021) Effective behavior of long and short fiber-reinforced viscoelastic composites Applications in Engineering Science, 6, (doi: 10.1016/j.apples.2021.100037)

Guan, D., Zhuan, X., Holmes, W., Luo, X., Gao, H. (2021) Modelling of fibre dispersion and its effects on cardiac mechanics from diastole to systole Journal of Engineering Mathematics, 128, (doi: 10.1007/s10665-021-10102-w)

Aziz, M. H.N., Simitev, R. D. (2021) Code for Estimation of Parameters for an Archetypal Model of Cardiomyocyte Membrane Potentials (doi: 10.5281/zenodo.4568662)

Sacchi, G., Swallow, B. (2021) Toward efficient Bayesian approaches to inference in hierarchical hidden Markov models for inferring animal behavior Frontiers in Ecology and Evolution, 9, (doi: 10.3389/fevo.2021.623731)

Ewing, D. A., Purse, B. V., Cobbold, C. A., White, S. M. (2021) A novel approach for predicting risk of vector-borne disease establishment in marginal temperate environments under climate change: West Nile virus in the UK Journal of the Royal Society: Interface, 18, (doi: 10.1098/rsif.2021.0049)

Heath Richardson, S. I., Gao, H., Cox, J., Janiczek, R., Griffith, B. E., Berry, C., Luo, X. (2021) A poroelastic immersed finite element framework for modeling cardiac perfusion and fluid-structure interaction International Journal for Numerical Methods in Biomedical Engineering, 37, (doi: 10.1002/cnm.3446)

Dorfmann, L., Ogden, R. W. (2021) The effect of residual stress on the stability of a circular cylindrical tube Journal of Engineering Mathematics, 127, (doi: 10.1007/s10665-021-10097-4)

Ramírez-Torres, A., Penta, R., Grillo, A. (2021) Two-scale, non-local diffusion in homogenised heterogeneous media Archive of Applied Mechanics, (doi: 10.1007/s00419-020-01880-3)

Wang, Y., Cai, L., Feng, X., Luo, X., Gao, H. (2021) A ghost structure finite difference method for a fractional FitzHugh-Nagumo monodomain model on moving irregular domain Journal of Computational Physics, 428, (doi: 10.1016/j.jcp.2020.110081)

Mortensen, P., Gao, H., Smith, G., Simitev, R. D. (2021) Action potential propagation and block in a model of atrial tissue with myocyte-fibroblast coupling Mathematical Medicine and Biology, 38, pp. 106-131. (doi: 10.1093/imammb/dqaa014)

Li, W., Gao, H., Mangion, K., Berry, C., Luo, X. (2021) Apparent growth tensor of left ventricular post myocardial infarction – in human first natural history study Computers in Biology and Medicine, 129, (doi: 10.1016/j.compbiomed.2020.104168)

Su, Y., Ogden, R. W., Destrade, M. (2021) Bending control and stability of functionally graded dielectric elastomers Extreme Mechanics Letters, 43, (doi: 10.1016/j.eml.2020.101162)

Simitev, R. D., Busse, F. H. (2021) Onset of inertial magnetoconvection in rotating fluid spheres Fluids, 6, (doi: 10.3390/fluids6010041)

Junge, M., Mei, T., Parcet, J., Xia, R. (2021) Algebraic Calderón-Zygmund theory Advances in Mathematics, 376, (doi: 10.1016/j.aim.2020.107443)

Mather, J. F., Simitev, R. D. (2021) Regimes of thermo-compositional convection and related dynamos in rotating spherical shells Geophysical and Astrophysical Fluid Dynamics, 115, pp. 61-84. (doi: 10.1080/03091929.2020.1762875)

Cai, L., Ren, L., Wang, Y., Xie, W., Zhi, G., Gao, H. (2021) Surrogate models based on machine learning methods for parameter estimation of left ventricular myocardium Royal Society Open Science, 8, (doi: 10.1098/rsos.201121)

Mortensen, P., Gao, H., Smith, G., Simitev, R. D. (2021) Addendum: Action potential propagation and block in a model of atrial tissue with myocyte-fibroblast coupling Mathematical Medicine and Biology, 38, pp. 292-298. (doi: 10.1093/imammb/dqab005)

Penta, R., Ramirez Torres, A., Merodio, J., Rodríguez-Ramos, R. (2021) Effective governing equations for heterogenous porous media subject to inhomogeneous body forces Mathematics in Engineering, 3, pp. 1-17. (doi: 10.3934/mine.2021033)

Da Silva Costa, A., Mortensen, P., Hortigon-Vinagre, M. P., van der Heyden, M. A. G., Burton, F. L., Gao, H., Simitev, R. D., Smith, G. L. (2021) Electrophysiology of hiPSC-cardiomyocytes co-cultured with HEK cells expressing the inward rectifier channel International Journal of Molecular Sciences, 22, (doi: 10.3390/ijms22126621)

2020

Cousins, J.R.L., Wilson, S.K., Mottram, N., Wilkes, D., Weegels, L. (2020) Transient flow-driven distortion of a nematic liquid crystal in channel flow with dissipative weak planar anchoring Physical Review E, 102, (doi: 10.1103/PhysRevE.102.062703)

Silva, L., Gupta, P., Mactaggart, D., Simitev, R. (2020) Effects of shell thickness on cross-helicity generation in convection-driven spherical dynamos Fluids, 5, (doi: 10.3390/fluids5040245)

Paun, L. M., Colebank, M. J., Olufsen, M. S., Hill, N. A., Husmeier, D. (2020) Assessing model mismatch and model selection in a Bayesian uncertainty quantification analysis of a fluid-dynamics model of pulmonary blood circulation Journal of the Royal Society: Interface, 17, (doi: 10.1098/rsif.2020.0886)

Lockington, D., Wang, Z., Qi, N., Malyugin, B., Cai, L., Wang, C., Tang, H., Ramaesh, K., Luo, X. (2020) Modelling floppy iris syndrome and the impact of pupil size and ring devices on iris displacement Eye, 34, pp. 2227-2234. (doi: 10.1038/s41433-020-0782-7)

Cruz-González, O.L., Rodríguez-Ramos, R., Otero, J.A., Ramirez Torres, A., Penta, R., Lebon, F. (2020) On the effective behavior of viscoelastic composites in three dimensions International Journal of Engineering Science, 157, (doi: 10.1016/j.ijengsci.2020.103377)

Ogden, R.W. (2020) Peter Chadwick. 23 March 1931—12 August 2018 Biographical Memoirs of Fellows of the Royal Society, 69, pp. 109-131. (doi: 10.1098/rsbm.2020.0012)

Miller, L., Penta, R. (2020) Effective balance equations for poroelastic composites Continuum Mechanics and Thermodynamics, 32, pp. 1533-1557. (doi: 10.1007/s00161-020-00864-6)

Chen, S., Ratna Sari, C., Gao, H., Lei, Y., Segers, P., De Beule, M. (2020) Mechanical and morphometric study of mitral valve chordae tendineae and related papillary muscle Journal of the Mechanical Behavior of Biomedical Materials, 111, (doi: 10.1016/j.jmbbm.2020.104011)

Morrow, A. J., Ford, T. J., Mangion, K., Kotecha, T., Rakhit, R., Galasko, G., Hoole, S., Davenport, A., Kharbanda, R., Ferreira, V. M., Shanmuganathan, M., Chiribiri, A., Perera, D., Rahman, H., Arnold, J. R., Greenwood, J. P., Fisher, M., Husmeier, D., Hill, N. A., Luo, X., Williams, N., Miller, L., Dempster, J., Macfarlane, P. W., Welsh, P., Sattar, N., Whittaker, A., McConnachie, A., Padmanabhan, S., Berry, C. (2020) Rationale and design of the Medical Research Council precision medicine with Zibotentan in microvascular angina (PRIZE) trial American Heart Journal, 229, pp. 70-80. (doi: 10.1016/j.ahj.2020.07.007)

Mittell, E. A., Cobbold, C. A., Ijaz, U. Z., Kilbride, E. A., Moore, K. A., Mable, B. K. (2020) Feral populations of Brassica oleracea along Atlantic coasts in western Europe Ecology and Evolution, 10, pp. 11810-11825. (doi: 10.1002/ece3.6821)

El Hamdaoui, M., Merodio, J., Ogden, R.W. (2020) Two-phase piecewise homogeneous plane deformations of a fibre-reinforced neo-Hookean material with application to fibre kinking and splitting Journal of the Mechanics and Physics of Solids, 143, (doi: 10.1016/j.jmps.2020.104091)

Di Stefano, S., Miller, L., Grillo, A., Penta, R. (2020) Effective balance equations for electrostrictive composites Zeitschrift für Angewandte Mathematik und Physik, 71, (doi: 10.1007/s00033-020-01365-x)

Dehghani, H., Noll, I., Penta, R., Menzel, A., Merodio, J. (2020) The role of microscale solid matrix compressibility on the mechanical behaviour of poroelastic materials European Journal of Mechanics - A/Solids, 83, (doi: 10.1016/j.euromechsol.2020.103996)

Liu, R., Xu, S., Luo, X., Liu, Z. (2020) Theoretical and Numerical Analysis of mechanical behaviors of a metamaterial-based shape memory polymer stent Polymers, 12, (doi: 10.3390/polym12081784)

Walton, J., McKay, G., Grinfeld, M., Mottram, N. J. (2020) Pressure-driven changes to spontaneous flow in active nematic liquid crystals European Physical Journal E, 43, (doi: 10.1140/epje/i2020-11973-8)

Zhuan, X., Luo, X. (2020) Residual stress estimates from multi-cut opening angles of the left ventricle Cardiovascular Engineering and Technology, 11, pp. 381-393. (doi: 10.1007/s13239-020-00467-x)

Abdollahyan, M., Bica, I., Buchholz, A., Conde, S., Cunningham, N., Dennis, J., DiazOrdaz, K., Grimm, F., Ilieva, S., Kiraly, F., Li, C., Liao, W., Mossotto, E., Page, H., Parreno-Centeno, M., Swallow, B. (2020) Data Study Group Final Report: Roche (doi: 10.5281/zenodo.3876989)

Conroy Broderick, H., Righi, M., Destrade, M., Ogden, R. W. (2020) Stability analysis of charge-controlled soft dielectric plates International Journal of Engineering Science, 151, (doi: 10.1016/j.ijengsci.2020.103280)

Melnikov, A., Dorfmann, L., Ogden, R. W. (2020) Bifurcation of finitely deformed thick-walled electroelastic spherical shells subject to a radial electric field International Journal of Non-Linear Mechanics, 121, (doi: 10.1016/j.ijnonlinmec.2020.103429)

Li, W., Lazarus, A., Gao, H., Martinez De Azcona Naharro, A., Fontana, M., Hawkins, P., Biswas, S., Janiczek, R., Cox, J., Berry, C., Husmeier, D., Luo, X. (2020) Analysis of cardiac amyloidosis progression using model-based markers Frontiers in Physiology, 11, (doi: 10.3389/fphys.2020.00324)

Holzapfel, G., Ogden, R. (2020) A damage model for collagen fibres with an application to collagenous soft tissues Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, (doi: 10.1098/rspa.2019.0821)

Quinn, J., MacTaggart, D., Simitev, R. (2020) The effect of anisotropic viscosity on the nonlinear MHD kink instability Communications in Nonlinear Science and Numerical Simulation, 83, (doi: 10.1016/j.cnsns.2019.105131)

Bhadwal, A.S., Mottram, N.J., Saxena, A., Sage, I.C., Brown, C.V. (2020) Electrically controlled topological micro cargo transportation Soft Matter, 16, pp. 2961-2970. (doi: 10.1039/C9SM01956A)

Holzapfel, G. A., Ogden, R. W. (2020) An arterial constitutive model accounting for collagen content and cross-linking Journal of the Mechanics and Physics of Solids, 136, (doi: 10.1016/j.jmps.2019.103682)

Guan, D., Yao, J., Luo, X., Gao, H. (2020) Effect of myofibre architecture on ventricular pump function by using a neonatal porcine heart model: from DT-MRI to rule-based methods Royal Society Open Science, 7, (doi: 10.1098/rsos.191655)

Griffiths, I.M., Mitevski, I., Vujkovac, I., Illingworth, M.R., Stewart, P.S. (2020) The role of tortuosity in filtration efficiency: a general network model for filtration Journal of Membrane Science, 598, (doi: 10.1016/j.memsci.2019.117664)

Cruz-González, O. L., Ramírez-Torres, A., Rodríguez-Ramos, R., Penta, R., Bravo-Castillero, J., Guinovart-Díaz, R., Merodio, J., Sabina, F. J., Lebon, F. (2020) A hierarchical asymptotic homogenization approach for viscoelastic composites Mechanics of Advanced Materials and Structures, (doi: 10.1080/15376494.2020.1722872)

Macnamara, C. K., Caiazzo, A., Ramis-Conde, I., Chaplain, M. A.J. (2020) Computational modelling and simulation of cancer growth and migration within a 3D heterogeneous tissue Journal of Computational Science, 40, (doi: 10.1016/j.jocs.2019.101067)

Spelman, T.A., Stewart, P.S. (2020) Shock wave propagation along the central retinal blood vessels Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, (doi: 10.1098/rspa.2019.0269)

Cobbold, C. A., Stana, R. (2020) Should I stay or should I go: partially sedentary populations can outperform fully dispersing populations in response to climate-induced range shifts Bulletin of Mathematical Biology, 82, (doi: 10.1007/s11538-020-00700-7)

Merodio, J., Ogden, R. (2020) Basic equations of continuum mechanics Springer

(2020) Constitutive Modelling of Solid Continua (doi: 10.1007/978-3-030-31547-4)

Wang, Y., Lan, H., Yin, T., Zhang, X., Huang, J., Fu, H., Huang, J., McGinty, S., Gao, H., Wang, G., Wang, Z. (2020) Covalent immobilization of biomolecules on stent materials through mussel adhesive protein coating to form biofunctional films Materials Science and Engineering C: Materials for Biological Applications, 106, (doi: 10.1016/j.msec.2019.110187)

Merodio, J., Ogden, R. (2020) Finite deformation elasticity theory Springer

Dorfmann, L., Ogden, R. (2020) Nonlinear constitutive modeling of electroelastic solids Springer

Dorfmann, L., Ogden, R. W. (2020) Waves and vibrations in a finitely deformed electroelastic circular cylindrical tube Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 476, (doi: 10.1098/rspa.2019.0701)

2019

Buckley, J., Daly, R., Cobbold, C. A., Burgess, K., Mable, B. K. (2019) Changing environments and genetic variation: natural variation in inbreeding does not compromise short-term physiological responses Proceedings of the Royal Society of London Series B: Biological Sciences, 286, (doi: 10.1098/rspb.2019.2109)

Xia, R., Xiong, X. (2019) Mapping properties of operator-valued pseudo-differential operators Journal of Functional Analysis, 277, pp. 2918-2980. (doi: 10.1016/j.jfa.2019.06.015)

Feng, L., Gao, H., Griffith, B. E., Niderer, S. A., Luo, X. (2019) Analysis of a coupled fluid-structure interaction model of the left atrium and mitral valve International Journal for Numerical Methods in Biomedical Engineering, 35, (doi: 10.1002/cnm.3254)

Swallow, B., Buckland, S. T., King, R., Toms, M. P. (2019) Assessing factors associated with changes in the numbers of birds visiting gardens in winter: are predators partly to blame? Ecology and Evolution, 9, pp. 12182-12192. (doi: 10.1002/ece3.5702)

Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., Grillo, A. (2019) Effective properties of hierarchical fiber-reinforced composites via a three-scale asymptotic homogenization approach Mathematics and Mechanics of Solids, 24, pp. 3554-3574. (doi: 10.1177/1081286519847687)

Sherifova, S., Sommer, G., Viertler, C., Regitnig, P., Caranasos, T., Smith, M. A., Griffith, B. E., Ogden, R. W., Holzapfel, G. A. (2019) Failure properties and microstructure of healthy and aneurysmatic human thoracic aortas subjected to uniaxial extension with a focus on the media Acta Biomaterialia, 99, pp. 443-456. (doi: 10.1016/j.actbio.2019.08.038)

Davies, V., Noè, U., Lazarus, A., Gao, H., Macdonald, B., Berry, C., Luo, X., Husmeier, D. (2019) Fast parameter inference in a biomechanical model of the left ventricle by using statistical emulation Journal of the Royal Statistical Society: Series C (Applied Statistics), 68, pp. 1555-1576. (doi: 10.1111/rssc.12374)

Marchena-Menéndez, J., Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., Merodio, J. (2019) Macroscopic thermal profile of heterogeneous cancerous breasts. A three-dimensional multiscale analysis International Journal of Engineering Science, 144, (doi: 10.1016/j.ijengsci.2019.103135)

Liu, R., McGinty, S., Cui, F., Luo, X., Liu, Z. (2019) Modelling and simulation of the expansion of a shape memory polymer stent Engineering Computations, 36, pp. 2726-2746. (doi: 10.1108/EC-10-2018-0462)

Cai, L., Wang, Y., Gao, H., Ma, X.S., Zhu, G.Y., Zhang, R.H., Shen, X.Q., Luo, X. (2019) Some effects of different constitutive laws on simulating mitral valve dynamics with FSI Scientific Reports, 9, (doi: 10.1038/s41598-019-49161-6)

Cruz-González, O.L., Guinovart-Sanjuán, D., Rodríguez-Ramos, R., Bravo-Castillero, J., Guinovart-Díaz, R., Merodio, J., Penta, R., Otero, J. A., Dumont, S., Lebon, F., Sabina, F.J. (2019) An approach for modeling non-ageing linear viscoelastic composites with general periodicity Composite Structures, 223, (doi: 10.1016/j.compstruct.2019.110927)

Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., Grillo, A., Preziosi, L., Merodio, J., Guinovart-Díaz, R., Bravo-Castillero, J. (2019) Homogenized out-of-plane shear response three-scale fiber-reinforced composites Computing and Visualization in Science, 20, pp. 85-93. (doi: 10.1007/s00791-018-0301-6)

Macdonald, B., Husmeier, D. (2019) Model selection via marginal likelihood estimation by combining thermodynamic integration and gradient matching Statistics and Computing, 29, pp. 853-867. (doi: 10.1007/s11222-018-9840-4)

Guan, D., Ahmad, F., Theobald, P., Soe, S., Luo, X., Gao, H. (2019) On the AIC based model reduction for the general Holzapfel-Ogden myocardial constitutive law Biomechanics and Modeling in Mechanobiology, 18, pp. 1213-1232. (doi: 10.1007/s10237-019-01140-6)

Romaszko, L., Borowska, A., Lazarus, A., Gao, H., Luo, X., Husmeier, D. (2019) Direct Learning Left Ventricular Meshes from CMR Images (doi: 10.11159/icsta19.25)

Paun, L. M., Colebank, M., Qureshi, M. U., Olufsen, M., Hill, N., Husmeier, D. (2019) MCMC with Delayed Acceptance using a Surrogate Model with an Application to Cardiovascular Fluid Dynamics (doi: 10.11159/icsta19.28)

Romaszko, L., Lazarus, A., Gao, H., Borowska, A., Luo, X., Husmeier, D. (2019) Massive Dimensionality Reduction for the Left Ventricular Mesh (doi: 10.11159/icsta19.24)

Yang, Y., Gao, H., Berry, C., Radjenovic, A., Husmeier, D. (2019) Quantification of Myocardial Perfusion Lesions Using Spatially Variant Finite Mixture Modelling of DCE-MRI (doi: 10.11159/icsta19.26)

Hurford, A., Cobbold, C. A., Molnár, P. K. (2019) Skewed temperature dependence affects range and abundance in a warming world Proceedings of the Royal Society of London Series B: Biological Sciences, 286, (doi: 10.1098/rspb.2019.1157)

Husmeier, D., Lazarus, A., Noè, U., Davies, V., Borowska, A., Macdonald, B., Gao, H., Berry, C., Luo, X. (2019) Statistical Emulation of Cardiac Mechanics: an Important Step Towards a Clinical Decision Support System (doi: 10.11159/icsta19.29)

Cai, L., Guo, M., Li, Y., Ying, W., Gao, H., Luo, X. (2019) Nonstandard finite difference method for nonlinear Riesz space fractional reaction-diffusion equation International Journal of Numerical Analysis and Modeling, 16, pp. 925-938.

Cousins, J.R.L., Wilson, S.K., Mottram, N.J., Wilkes, D., Weegels, L. (2019) Squeezing a drop of nematic liquid crystal with strong elasticity effects Physics of Fluids, 31, (doi: 10.1063/1.5110878)

Wang, Y., Cai, L., Luo, X., Ying, W., Gao, H. (2019) Simulation of action potential propagation based on the ghost structure method Scientific Reports, 9, (doi: 10.1038/s41598-019-47321-2)

Noè, U., Lazarus, A., Gao, H., Davies, V., Macdonald, B., Mangion, K., Berry, C., Luo, X., Husmeier, D. (2019) Gaussian process emulation to accelerate parameter estimation in a mechanical model of the left ventricle: a critical step towards clinical end-user relevance Journal of the Royal Society: Interface, 16, (doi: 10.1098/rsif.2019.0114)

Duanmu, Z., Chen, W., Gao, H., Yang, X., Luo, X., Wang, T., Hill, N. A. (2019) A one-dimensional hemodynamic model of the coronary arterial tree Frontiers in Physiology, 10, (doi: 10.3389/fphys.2019.00853)

Stewart, P. S., Foss, A. J.E. (2019) Self-excited oscillations in a collapsible channel with applications to retinal venous pulsation ANZIAM Journal, 61, pp. 320-348. (doi: 10.1017/S1446181119000117)

Lesniewska, M., Henrich, O., Mottram, N. (2019) Microfluidic Flow of Colloid-Liquid Crystal Composite Materials

Macnamara, C. K., Mitchell, E. I., Chaplain, M. A.J. (2019) Spatial-stochastic modelling of synthetic gene regulatory networks Journal of Theoretical Biology, 468, pp. 27-44. (doi: 10.1016/j.jtbi.2019.02.003)

Holzapfel, G., Ogden, R., Sherifova, S. (2019) On fibre dispersion modelling of soft biological tissues: a review Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 475, (doi: 10.1098/rspa.2018.0736)

Melnik, A. V., Luo, X., Ogden, R. W. (2019) A para-universal relation for orthotropic materials Mechanics Research Communications, 97, pp. 46-51. (doi: 10.1016/j.mechrescom.2019.04.006)

Li, B., Roper, S. M., Wang, L., Luo, X., Hill, N.A. (2019) An incremental deformation model of arterial dissection Journal of Mathematical Biology, 78, pp. 1277-1298. (doi: 10.1007/s00285-018-1309-8)

Jayaraman, S., Harris, C., Paxton, E., Donachie, A.-M., Vaikkinen, H., McCulloch, R., Hall, J. P.J., Kenny, J., Lenzi, L., Herts-Fowler, C., Cobbold, C., Reeve, R., Micheol, T., Morrison, L. J. (2019) Application of long read sequencing to determine expressed antigen diversity in Trypanosoma brucei infections PLoS Neglected Tropical Diseases, 13, (doi: 10.1371/journal.pntd.0007262)

Dorfmann, L., Ogden, R. W. (2019) Electroelastic plate instabilities based on the Stroh method in terms of the energy function Ω*(F, DL) Mechanics Research Communications, 96, pp. 67-74. (doi: 10.1016/j.mechrescom.2019.03.002)

Dehghani, H., Penta, R., Merodio, J. (2019) The role of porosity and solid matrix compressibility on the mechanical behavior of poroelastic tissues Materials Research Express, 6, (doi: 10.1088/2053-1591/aaf5b9)

Ewing, D. A., Cobbold, C. A., Purse, B. V., Schafer, S. M., White, S. M. (2019) Uncovering mechanisms behind mosquito seasonality by integrating mathematical models and daily empirical population data: Culex pipiens in the UK Parasites and Vectors, 12, (doi: 10.1186/s13071-019-3321-2)

Umar Qureshi, M., Colebank, M. J., Paun, L. M., Ellwein, L., Chesler, N., Haider, M. A., Hill, N. A., Husmeier, D., Olufsen, M. S. (2019) Hemodynamic assessment of pulmonary hypertension in mice: a model based analysis of the disease mechanism Biomechanics and Modeling in Mechanobiology, 18, pp. 219-243. (doi: 10.1007/s10237-018-1078-8)

Zhuan, X., Luo, X., Gao, H., Ogden, R. W. (2019) Coupled agent-based and hyperelastic modelling of the left ventricle post-myocardial infarction International Journal for Numerical Methods in Biomedical Engineering, 35, (doi: 10.1002/cnm.3155)

Alqahtani, Z.M., El-Shahed, M., Mottram, N.J. (2019) Derivative-order-dependent stability and transient behaviour in a predator–prey system of fractional differential equations Letters in Biomathematics, 6, pp. 32-49. (doi: 10.1080/23737867.2019.1656115)

Rodríguez-Ramos, R., Ramírez-Torres, A., Bravo-Castillero, J., Guinovart-Díaz, R., Guinovart-Sanjuán, D., Cruz-González, O. L., Sabina, F. J., Merodio, J., Penta, R. (2019) Multiscale homogenization for linear mechanics Springer

Xia, R., Xiong, X. (2019) Operator-valued local Hardy spaces Journal of Operator Theory, 82, pp. 383-443.

Penta, R., Miller, L., Grillo, A., Ramírez-Torres, A., Mascheroni, P., Rodríguez-Ramos, R. (2019) Porosity and diffusion in biological tissues. Recent advances and further perspectives Springer

Silva, L. A.C., Mather, J. F., Simitev, R. D. (2019) The onset of thermo-compositional convection in rotating spherical shells Geophysical and Astrophysical Fluid Dynamics, 113, pp. 377-404. (doi: 10.1080/03091929.2019.1640875)

2018

Cousins, J. R.L., Wilson, S. K., Mottram, N. J., Wilkies, D., Weegels, L., Lin, K. (2018) A Model for the Formation of Mura During the One-Drop-Filling Process

Melnik, A. V., Luo, X., Ogden, R. W. (2018) A generalised structure tensor model for the mixed invariant I8 International Journal of Non-Linear Mechanics, 107, pp. 137-148. (doi: 10.1016/j.ijnonlinmec.2018.08.018)

Feng, L., Qi, N., Gao, H., Sun, W., Vazquez, M., Griffith, B.E., Luo, X.Y. (2018) On the chordae structure and dynamic behaviour of the mitral valve IMA Journal of Applied Mathematics, 83, pp. 1066-1091. (doi: 10.1093/imamat/hxy035)

Singh, B., Ogden, R. W. (2018) Reflection of plane waves from the boundary of an incompressible finitely deformed electroactive half-space Zeitschrift für Angewandte Mathematik und Physik, 69, (doi: 10.1007/s00033-018-1044-4)

Ramírez-Torres, A., Di Stefano, S., Grillo, A., Rodríguez-Ramos, R., Merodio, J., Penta, R. (2018) An asymptotic homogenization approach to the microstructural evolution of heterogeneous media International Journal of Non-Linear Mechanics, 106, pp. 245-257. (doi: 10.1016/j.ijnonlinmec.2018.06.012)

Di Stefano, S., Ramírez-Torres, A., Penta, R., Grillo, A. (2018) Self-influenced growth through evolving material inhomogeneities International Journal of Non-Linear Mechanics, 106, pp. 174-187. (doi: 10.1016/j.ijnonlinmec.2018.08.003)

Dorfmann, L., Ogden, R. W. (2018) The effect of deformation dependent permittivity on the elastic response of a finitely deformed dielectric tube Mechanics Research Communications, 93, pp. 47-57. (doi: 10.1016/j.mechrescom.2017.09.002)

Holzapfel, G. A., Ogden, R. W. (2018) Biomechanical relevance of the microstructure in artery walls with a focus on passive and active components American Journal of Physiology: Heart and Circulatory Physiology, 315, pp. H540-H549. (doi: 10.1152/ajpheart.00117.2018)

Li, K., Ogden, R. W., Holzapfel, G. A. (2018) An exponential constitutive model excluding fibers under compression: application to extension-inflation of a residually stressed carotid artery Mathematics and Mechanics of Solids, 23, pp. 1206-1224. (doi: 10.1177/1081286517712077)

Păun, L. M., Qureshi, M. U., Colebank, M., Hill, N. A., Olufsen, M. S., Haider, M. A., Husmeier, D. (2018) MCMC methods for inference in a mathematical model of pulmonary circulation Statistica Neerlandica, 72, pp. 306-338. (doi: 10.1111/stan.12132)

Zhang, S., Luo, X., Cai, Z. (2018) Three-dimensional flows in a hyperelastic vessel under external pressure Biomechanics and Modeling in Mechanobiology, 17, pp. 1187-1207. (doi: 10.1007/s10237-018-1022-y)

Silva, L. A.C., Simitev, R. D. (2018) Pseudo-spectral Code for Numerical Simulation of Nonlinear Thermo-compositional Convection and Dynamos in Rotating Spherical Shells (doi: 10.5281/zenodo.1311203)

Silva, L. A.C., Simitev, R. D. (2018) Spectral Code for Linear Analysis of the Onset of Thermo-compositional Convection in Rotating Spherical Fluid Shells (doi: 10.5281/zenodo.1307245)

Melnikov, A., Ogden, R. W. (2018) Bifurcation of finitely deformed thick-walled electroelastic cylindrical tubes subject to a radial electric field Zeitschrift für Angewandte Mathematik und Physik, 69, (doi: 10.1007/s00033-018-0954-5)

Qi, N., Lockington, D., Wang, H., Hill, N. A., Ramaesh, K., Luo, X. (2018) Modelling floppy iris syndrome and the impact of phenylephrine on iris buckling International Journal of Applied Mechanics, 10, (doi: 10.1142/S1758825118500485)

Niu, M., Macdonald, B., Rogers, S., Filippone, M., Husmeier, D. (2018) Statistical inference in mechanistic models: time warping for improved gradient matching Computational Statistics, 33, pp. 1091-1123. (doi: 10.1007/s00180-017-0753-z)

Szymańska, Z., Cytowski, M., Mitchell, E., Macnamara, C. K., Chaplain, M. A.J. (2018) Computational modelling of cancer development and growth: Modelling at multiple scales and multiscale modelling Bulletin of Mathematical Biology, 80, pp. 1366-1403. (doi: 10.1007/s11538-017-0292-3)

Simitev, R. D., Busse, F. H. (2018) Flows and dynamos in a model of stellar radiative zones Journal of Plasma Physics, 84, (doi: 10.1017/S0022377818000612)

Jones-Todd, C. M., Swallow, B., Illian, J. B., Toms, M. (2018) A spatiotemporal multispecies model of a semicontinuous response Journal of the Royal Statistical Society: Series C (Applied Statistics), 67, pp. 705-722. (doi: 10.1111/rssc.12250)

Mangion, K., Gao, H., Husmeier, D., Luo, X., Berry, C. (2018) Advances in computational modelling for personalised medicine after myocardial infarction Heart, 104, pp. 550-557. (doi: 10.1136/heartjnl-2017-311449)

El Hamdaoui, M., Merodio, J., Ogden, R. W. (2018) Deformation induced loss of ellipticity in an anisotropic circular cylindrical tube Journal of Engineering Mathematics, 109, pp. 31-45. (doi: 10.1007/s10665-017-9904-z)

Wang, L., Hill, N. A., Roper, S. M., Luo, X. (2018) Modelling peeling- and pressure-driven propagation of arterial dissection Journal of Engineering Mathematics, 109, pp. 227-238. (doi: 10.1007/s10665-017-9948-0)

Dorfmann, L., Ogden, R. W. (2018) Instabilities of soft dielectrics Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 377, (doi: 10.1098/rsta.2018.0077)

Richardson, S.I. H., Baggaley, A.W., Hill, N.A. (2018) Gyrotactic suppression and emergence of chaotic trajectories of swimming particles in three-dimensional flows Physical Review Fluids, 3, (doi: 10.1103/PhysRevFluids.3.023102)

Valdés-Ravelo, F., Ramírez-Torres, A., Rodríguez-Ramos, R., Bravo-Castillero, J., Guinovart-Díaz, R., Merodio, J., Penta, R., Conci, A., Sabina, F. J., García-Reimbert, C. (2018) Mathematical modeling of the interplay between stress and anisotropic growth of avascular tumors Journal of Mechanics in Medicine and Biology, 18, (doi: 10.1142/s0219519418500069)

Li, K., Ogden, R. W., Holzapfel, G. A. (2018) Modeling of fibrous biological tissues with a general invariant that excludes compressed fibers Journal of the Mechanics and Physics of Solids, 110, pp. 38-53. (doi: 10.1016/j.jmps.2017.09.005)

Walton, J., Mottram, N.J., McKay, G. (2018) Nematic liquid crystal director structures in rectangular regions Physical Review E, 97, (doi: 10.1103/PhysRevE.97.022702)

Duanmu, Z., Yin, M., Fan, X., Yang, X., Luo, X. (2018) A patient-specific lumped-parameter model of coronary circulation Scientific Reports, 8, (doi: 10.1038/s41598-018-19164-w)

(2018) Multiscale Soft Tissue Mechanics and Mechanobiology: State-of-the-art Modeling

Li, K., Ogden, R. W., Holzapfel, G. A. (2018) A discrete fibre dispersion method for excluding fibres under compression in the modeling of fibrous tissues Journal of the Royal Society: Interface, 15, (doi: 10.1098/rsif.2017.0766)

Penta, R., Ramírez-Torres, A., Merodio, J., Rodríguez-Ramos, R. (2018) Effective balance equations for elastic composites subject to inhomogeneous potentials Continuum Mechanics and Thermodynamics, 30, pp. 145-163. (doi: 10.1007/s00161-017-0590-x)

Ramírez-Torres, A., Penta, R., Rodríguez-Ramos, R., Merodio, J., Sabina, F. J., Bravo-Castillero, J., Guinovart-Díaz, R., Preziosi, L., Grillo, A. (2018) Three scales asymptotic homogenization and its application to layered hierarchical hard tissues International Journal of Solids and Structures, 130-31, pp. 190-198. (doi: 10.1016/j.ijsolstr.2017.09.035)

Penta, R., Gerisch, A. (2018) An introduction to asymptotic homogenization Springer

Yurk, B. P., Cobbold, C. A. (2018) Homogenization techniques for population dynamics in strongly heterogeneous landscapes Journal of Biological Dynamics, 12, pp. 171-193. (doi: 10.1080/17513758.2017.1410238)

Mortensen, P., Bin Noor Aziz, M. H., Gao, H., Simitev, R. D. (2018) Modelling and Simulations of Electrical Propagation in Transmural Slabs of Scarred Left Ventricular Tissue

(2018) Multiscale Models in Mechano and Tumor Biology: Modeling, Homogenization, and Applications 122, (doi: 10.1007/978-3-319-73371-5)

Xia, R., Xiong, X. (2018) Operator-valued Triebel–Lizorkin spaces Integral Equations and Operator Theory, 90, (doi: 10.1007/s00020-018-2491-1)

2017

McCulloch, R., Cobbold, C. A., Figueiredo, L., Jackson, A., Morrison, L. J., Mugnier, M. R., Papavasiliou, N., Schnaufer, A., Matthews, K. (2017) Emerging challenges in understanding trypanosome antigenic variation Emerging Topics in Life Sciences, 1, pp. 585-592. (doi: 10.1042/ETLS20170104)

Da Costa, F. P., Grinfeld, M., Mottram, N. J., Pinto, J. T. (2017) A mathematical study of a bistable nematic liquid crystal device Mathematical Models and Methods in Applied Sciences, 17, pp. 2009-2034. (doi: 10.1142/S0218202507002546)

Sevostianov, I., Trofimov, A., Merodio, J., Penta, R., Rodriguez-Ramos, R. (2017) Connection between electrical conductivity and diffusion coefficient of a conductive porous material filled with electrolyte International Journal of Engineering Science, 121, pp. 108-117. (doi: 10.1016/j.ijengsci.2017.08.013)

Stewart, P. S., Hilgenfeldt, S. (2017) Cracks and fingers: dynamics of ductile fracture in an aqueous foam Colloids and Surfaces A: Physicochemical and Engineering Aspects, 534, pp. 58-70. (doi: 10.1016/j.colsurfa.2017.03.057)

Griffith, B. E., Luo, X. (2017) Hybrid finite difference/finite element immersed boundary method International Journal for Numerical Methods in Biomedical Engineering, 33, (doi: 10.1002/cnm.2888)

Holzapfel, G. A., Ogden, R. W. (2017) On fiber dispersion models: exclusion of compressed fibers and spurious model comparisons Journal of Elasticity, 129, pp. 49-68. (doi: 10.1007/s10659-016-9605-2)

Holzapfel, G. A., Ogden, R. W. (2017) Comparison of two model frameworks for fiber dispersion in the elasticity of soft biological tissues European Journal of Mechanics - A/Solids, 66, pp. 193-200. (doi: 10.1016/j.euromechsol.2017.07.005)

Penta, R., Merodio, J. (2017) Homogenized modeling for vascularized poroelastic materials Meccanica, 52, pp. 3321-3343. (doi: 10.1007/s11012-017-0625-1)

Gao, H., Mangion, K., Carrick, D., Husmeier, D., Luo, X., Berry, C. (2017) Estimating prognosis in patients with acute myocardial infarction using personalized computational heart models Scientific Reports, 7, (doi: 10.1038/s41598-017-13635-2)

Gao, H., Qi, N., Feng, L., Ma, X., Danton, M., Berry, C., Luo, X. (2017) Modelling mitral valvular dynamics–current trend and future directions International Journal for Numerical Methods in Biomedical Engineering, 33, (doi: 10.1002/cnm.2858)

MacTaggart, D., Stewart, P. (2017) Optimal energy growth in current sheets Solar Physics, 292, (doi: 10.1007/s11207-017-1177-1)

Ramírez-Torres, A., Rodríguez-Ramos, R., Merodio, J., Penta, R., Bravo-Castillero, J., Guinovart-Díaz, R., Sabina, F. J., García-Reimbert, C., Sevostianov, I., Conci, A. (2017) The influence of anisotropic growth and geometry on the stress of solid tumors International Journal of Engineering Science, 119, pp. 40-49. (doi: 10.1016/j.ijengsci.2017.06.011)

Mascheroni, P., Penta, R. (2017) The role of the microvascular network structure on diffusion and consumption of anticancer drugs International Journal for Numerical Methods in Biomedical Engineering, 33, (doi: 10.1002/cnm.2857)

Paun, L., Haider, M., Hill, N., Olufsen, M., Qureshi, M., Papamarkou, T., Husmeier, D. (2017) Parameter Inference in the Pulmonary Blood Circulation

Gao, H., Feng, L., Qi, N., Berry, C., Griffith, B. E., Luo, X. (2017) A coupled mitral valve - left ventricle model with fluid-structure interaction Medical Engineering and Physics, 47, pp. 128-136. (doi: 10.1016/j.medengphy.2017.06.042)

Stewart, P. S. (2017) Instabilities in flexible channel flow with large external pressure Journal of Fluid Mechanics, 825, pp. 922-960. (doi: 10.1017/jfm.2017.404)

Ramírez-Torres, A., Rodríguez-Ramos, R., Sabina, F. J., García-Reimbert, C., Penta, R., Merodio, J., Guinovart-Díaz, R., Bravo-Castillero, J., Conci, A., Preziosi, L. (2017) The role of malignant tissue on the thermal distribution of cancerous breast Journal of Theoretical Biology, 426, pp. 152-161. (doi: 10.1016/j.jtbi.2017.05.031)

Barraquand, F., Louca, S., Abbott, K. C., Cobbold, C. A., Cordoleani, F., DeAngelis, D. L., Elderd, B. D., Fox, J. W., Greenwood, P., Hilker, F. M., Murray, D. L., Stieha, C. R., Taylor, R. A., Vitense, K., Wolkowicz, G. S.K., Tyson, R. C. (2017) Moving forward in circles: challenges and opportunities in modelling population cycles Ecology Letters, 20, pp. 1074-1092. (doi: 10.1111/ele.12789)

Dorfmann, L., Ogden, R. W. (2017) Nonlinear electroelasticity: material properties, continuum theory and applications Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 473, (doi: 10.1098/rspa.2017.0311)

Paun, L. M., Qureshi, M. U., Colebank, M., Haider, M. A., Olufsen, M. S., Hill, N. A., Husmeier, D. (2017) Parameter Inference in the Pulmonary Circulation of Mice

Gao, H., Aderhold, A., Mangion, K., Luo, X., Husmeier, D., Berry, C. (2017) Changes and classification in myocardial contractile function in the left ventricle following acute myocardial infarction Journal of the Royal Society: Interface, 14, (doi: 10.1098/rsif.2017.0203)

Bush, A., Rahel, S., Wilting, A., Kristine, B., Cole, B., Balzter, H., Martius, C., Zlinszky, A., Calvignac-Spencer, S., Cobbold, C. A., Dawson, T. P., Emerson, B. C., Ferrier, S., Gilbert, M. T. P., Herold, M., Jones, L., Leendertz, F. H., Matthews, L., Millington, J. D.A., Olson, J. R., Ovaskainen, O., Raffaelli, D., Reeve, R., Rödel, M.-O., Rodgers, T. W., Snape, S., Visseren-Hamakers, I., Wogler, A. P., White, P. C.L., Wooster, M. J., Yu, D. W. (2017) Connecting Earth observation to high-throughput biodiversity data Nature Ecology and Evolution, 1, (doi: 10.1038/s41559-017-0176)

Van Hirtum, A., Wu, B., Gao, H., Luo, X.Y. (2017) Constricted channel flow with different cross-section shapes European Journal of Mechanics - B/Fluids, 63, pp. 1-8. (doi: 10.1016/j.euromechflu.2016.12.009)

Papáček, Š., Matonoha, C., Macdonald, B. (2017) Closed-form formulae vs. PDE based numerical solution for the FRAP data processing: Theoretical and practical comparison Computers and Mathematics with Applications, 73, pp. 1673-1683. (doi: 10.1016/j.camwa.2017.02.010)

Cai, L., Wang, Y., Gao, H., Li, Y., Luo, X. (2017) A mathematical model for active contraction in healthy and failing myocytes and left ventricles PLoS ONE, 12, (doi: 10.1371/journal.pone.0174834)

Li, W., Bird, N. C., Luo, X. (2017) A pointwise method for identifying biomechanical heterogeneity of the human gallbladder Frontiers in Physiology, 8, (doi: 10.3389/fphys.2017.00176)

Swallow, B., Rigby, M., Rougier, J.C., Manning, A.J., Lunt, M., O'Doherty, S. (2017) Parametric uncertainty in complex environmental models: a cheap emulation approach for models with high-dimensional output arXiv,

Wang, L., Roper, S. M., Hill, N. A., Luo, X. (2017) Propagation of dissection in a residually-stressed artery model Biomechanics and Modeling in Mechanobiology, 16, pp. 139-149. (doi: 10.1007/s10237-016-0806-1)

Cai, L., Xu, W., Luo, X. (2017) A double-distribution-function lattice Boltzmann method for bed-load sediment transport International Journal of Applied Mechanics, 9, (doi: 10.1142/S1758825117500132)

Penta, R., Gerisch, A. (2017) The asymptotic homogenization elasticity tensor properties for composites with material discontinuities Continuum Mechanics and Thermodynamics, 29, pp. 187-206. (doi: 10.1007/s00161-016-0526-x)

Simitev, R. D., Busse, F. H. (2017) Baroclinically-driven flows and dynamo action in rotating spherical fluid shells Geophysical and Astrophysical Fluid Dynamics, 111, pp. 369-379. (doi: 10.1080/03091929.2017.1361945)

(2017) Biomechanics: Trends in Modeling and Simulation Springer

Liu, Z., Macdonald, B., Husmeier, D., Giurghita, D. (2017) Estimating Parameters of Partial Differential Equations with Gradient Matching

McGinty, S., Hyndman, L., Mottram, N., McKee, S., Webb, S. (2017) In-silico Characterisation of the Kirkstall QV900 In-Vitro System for Advanced Cell Culture

Noè, U., Chen, W. W., Filippone, M., Hill, N., Husmeier, D. (2017) Inference in a Partial Differential Equations Model of Pulmonary Arterial and Venous Blood Circulation using Statistical Emulation (doi: 10.1007/978-3-319-67834-4_15)

Ogden, R. W. (2017) Nonlinear continuum mechanics and modelling the elasticity of soft biological tissues with a focus on artery walls Springer International Publishing

Macnamara, C. K., Chaplain, M. A.J. (2017) Spatio-temporal models of synthetic genetic oscillators Mathematical Biosciences and Engineering, 14, pp. 249-262. (doi: 10.3934/mbe.2017016)

2016

Goodman, M. E., Luo, X., Hill, N. (2016) A mathematical model on the feedback between wall shear stress and intimal hyperplasia International Journal of Applied Mechanics, 8, (doi: 10.1142/S1758825116400111)

Melnikov, A., Ogden, R. W. (2016) Finite deformations of an electroelastic circular cylindrical tube Zeitschrift für Angewandte Mathematik und Physik, 67, (doi: 10.1007/s00033-016-0733-0)

Swallow, B., King, R., Buckland, S. T., Toms, M. P. (2016) Identifying multispecies synchrony in response to environmental covariates Ecology and Evolution, 6, pp. 8515-8525. (doi: 10.1002/ece3.2518)

Macnamara, C. K., Chaplain, M. A.J. (2016) Diffusion driven oscillations in gene regulatory networks Journal of Theoretical Biology, 407, pp. 51-70. (doi: 10.1016/j.jtbi.2016.07.021)

Li, W., Luo, X. Y. (2016) An invariant-based damage model for human and animal skins Annals of Biomedical Engineering, 44, pp. 3109-3122. (doi: 10.1007/s10439-016-1603-9)

Corson, L.T., Mottram, N.J., Duffy, B.R., Wilson, S.K., Tsakonas, C., Brown, C.V. (2016) Dynamic response of a thin sessile drop of conductive liquid to an abruptly applied or removed electric field Physical Review E, 94, (doi: 10.1103/PhysRevE.94.043112)

Hao, Y., Cai, Z., Roper, S., Luo, X. (2016) An Arnoldi-frontal approach for the stability analysis of flows in a collapsible channel International Journal of Applied Mechanics, 8, (doi: 10.1142/S1758825116500733)

Corson, L.T., Tsakonas, C., Duffy, B.R., Mottram, N.J., Brown, C.V., Wilson, S.K. (2016) Electro-Manipulation of Droplets for Microfluidic Applications (doi: 10.1007/978-3-319-23413-7)

Stewart, P. S., Waters, S. L., El Sayed, T., Vella, D., Goriely, A. (2016) Wrinkling, creasing, and folding in fiber-reinforced soft tissues Extreme Mechanics Letters, 8, pp. 22-29. (doi: 10.1016/j.eml.2015.10.005)

Chen, W.W., Gao, H., Luo, X.Y., Hill, N.A. (2016) Study of cardiovascular function using a coupled left ventricle and systemic circulation model Journal of Biomechanics, 49, pp. 2445-2454. (doi: 10.1016/j.jbiomech.2016.03.009)

Griffiths, I. M., Kumar, A., Stewart, P.S. (2016) Designing asymmetric multilayered membrane filters with improved performance Journal of Membrane Science, 511, pp. 108-118. (doi: 10.1016/j.memsci.2016.02.028)

Ahamed, T., Dorfmann, L., Ogden, R.W. (2016) Modeling of residually stressed material with application to AAA Journal of the Mechanical Behavior of Biomedical Materials, 61, pp. 221-234. (doi: 10.1016/j.jmbbm.2016.01.012)

Ewing, D. A., Cobbold, C. A., Nunn, M. A., Purse, B. V., White, S. M. (2016) Modelling the effect of temperature on the seasonal population dynamics of temperate mosquitoes Journal of Theoretical Biology, 400, pp. 65-79. (doi: 10.1016/j.jtbi.2016.04.008)

Macdonald, B., Niu, M., Rogers, S., Filippone, M., Husmeier, D. (2016) Approximate parameter inference in systems biology using gradient matching: a comparative evaluation BioMedical Engineering OnLine, 15, (doi: 10.1186/s12938-016-0186-x)

Nam, N.T., Merodio, J., Ogden, R.W., Vinh, P.C. (2016) The effect of initial stress on the propagation of surface waves in a layered half-space International Journal of Solids and Structures, 88-89, pp. 88-100. (doi: 10.1016/j.ijsolstr.2016.03.019)

Penta, R., Raum, K., Grimal, Q., Schrof, S., Gerisch, A. (2016) Can a continuous mineral foam explain the stiffening of aged bone tissue? A micromechanical approach to mineral fusion in musculoskeletal tissues Bioinspiration and Biomimetics, 11, (doi: 10.1088/1748-3190/11/3/035004)

Li, K., Ogden, R. W., Holzapfel, G. A. (2016) Computational method for excluding fibers under compression in modeling soft fibrous solids European Journal of Mechanics - A/Solids, 57, pp. 178-193. (doi: 10.1016/j.euromechsol.2015.11.003)

Matsui, H., Heien, E., Aubert, J., Aurnou, J. M., Avery, M., Brown, B., Buffett, B. A., Busse, F., Christensen, U. R., Davies, C. J., Featherstone, N., Gastine, T., Glatzmaier, G. A., Gubbins, D., Guermond, J.-L., Hayashi, Y.-Y., Hollerbach, R., Hwang, L. J., Jackson, A., Jones, C. A., Jiang, W., Kellogg, L. H., Kuang, W., Landeau, M., Marti, P. H., Olson, P., Ribeiro, A., Sasaki, Y., Schaeffer, N., Simitev, R. D., Sheyko, A., Silva, L., Stanley, S., Takahashi, F., Takehiro, S.-i., Wicht, J., Willis, A. P. (2016) Performance benchmarks for a next generation numerical dynamo model Geochemistry, Geophysics, Geosystems, 17, pp. 1586-1607. (doi: 10.1002/2015GC006159)

McKee, S., Dougall, E. A., Mottram, N. J. (2016) Analytic solutions of a simple advection-diffusion model of an oxygen transfer device Journal of Mathematics in Industry, 6, (doi: 10.1186/s13362-016-0019-3)

Xia, R., Xiong, X., Xu, Q. (2016) Characterizations of operator-valued Hardy spaces and applications to harmonic analysis on quantum tori Advances in Mathematics, 291, pp. 183-227. (doi: 10.1016/j.aim.2015.12.023)

Swallow, B., Buckland, S. T., King, R., Toms, M. P. (2016) Bayesian hierarchical modelling of continuous non-negative longitudinal data with a spike at zero: an application to a study of birds visiting gardens in winter Biometrical Journal, 58, pp. 357-371. (doi: 10.1002/bimj.201400081)

Merodio, J., Ogden, R. W. (2016) Extension, inflation and torsion of a residually-stressed circular cylindrical tube Continuum Mechanics and Thermodynamics, 28, pp. 157-174. (doi: 10.1007/s00161-015-0411-z)

Mottram, N.J., McKay, G., Brown, C.V., Russell, C.T., Sage, I.C., Tsakonas, C. (2016) Flow-induced delayed Freedericksz transition Physical Review E, 93, (doi: 10.1103/PhysRevE.93.030701)

Ritos, K., Borg, M. K., Mottram, N. J., Reese, J. M. (2016) Electric fields can control the transport of water in carbon nanotubes Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 374, (doi: 10.1098/rsta.2015.0025)

Mangion, K., Gao, H., Radjenovic, A., Luo, X., Haig, C., Berry, C. (2016) Pixel-tracking derived strain using the GlasgowHeart Method. Journal of Cardiovascular Magnetic Resonance, 18, (doi: 10.1186/1532-429X-18-S1-P9)

Mangion, K., Gao, H., Mccomb, C., Carrick, D., Clerfond, G., Zhong, X., Luo, X., Haig, C., Berry, C. (2016) A novel method for estimating myocardial strain: assessment of deformation tracking against reference magnetic resonance methods in healthy volunteers Scientific Reports, 6, (doi: 10.1038/srep38774)

Eftimie, R., Macnamara, C.K., Dushoff, J., Bramson, J.L., Earn, D.J.D. (2016) Bifurcations and chaotic dynamics in a tumour-immune-virus system Mathematical Modelling of Natural Phenomena, 11, pp. 65-85. (doi: 10.1051/mmnp/201611505)

Reeve, R., Leinster, T., Cobbold, C. A., Thompson, J., Brummitt, N., Mitchell, S. N., Matthews, L. (2016) How to partition diversity arXiv,

2015

Land, S., Gurev, V., Arens, S., Augustin, C. M., Baron, L., Blake, R., Bradley, C., Castro, S., Crozier, A., Favino, M., Fastl, T. E., Fritz, T., Gao, H., Gizzi, A., Griffith, B. E., Hurtado, D. E., Krause, R., Luo, X., Nash, M. P., Pezzuto, S., Plank, G., Rossi, S., Ruprecht, D., Seemann, G., Smith, N. P., Sundnes, J., Rice, J. J., Trayanova, N., Wang, D., Wang, Z., Niederer, S. A. (2015) Verification of cardiac mechanics software: benchmark problems and solutions for testing active and passive material behaviour Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 471, (doi: 10.1098/rspa.2015.0641)

Qureshi, M. U., Hill, N. A. (2015) A computational study of pressure wave reflections in the pulmonary arteries Journal of Mathematical Biology, 71, pp. 1525-1549. (doi: 10.1007/s00285-015-0867-2)

Cobbold, C. A., Lutscher, F., Sherratt, J. A. (2015) Diffusion-driven instabilities and emerging spatial patterns in patchy landscapes Ecological Complexity, 24, pp. 69-81. (doi: 10.1016/j.ecocom.2015.10.001)

Qi, N., Gao, H., Ogden, R. W., Hill, N. A., Holzapfel, G. A., Han, H., Luo, X. (2015) Investigation of the optimal collagen fibre orientation in human iliac arteries Journal of the Mechanical Behavior of Biomedical Materials, 52, pp. 108-119. (doi: 10.1016/j.jmbbm.2015.06.011)

Stewart, P. S., Davis, S. H., Hilgenfeldt, S. (2015) Microstructural effects in aqueous foam fracture Journal of Fluid Mechanics, 785, pp. 425-461. (doi: 10.1017/jfm.2015.636)

Gao, H., Li, W.G., Cai, L., Berry, C., Luo, X.Y. (2015) Parameter estimation in a Holzapfel–Ogden law for healthy myocardium Journal of Engineering Mathematics, 95, pp. 231-248. (doi: 10.1007/s10665-014-9740-3)

Macdonald, B., Husmeier, D. (2015) Gradient matching methods for computational inference in mechanistic models for systems biology: a review and comparative analysis Frontiers in Bioengineering and Biotechnology, 3, (doi: 10.3389/fbioe.2015.00180)

Bezekci, B., Idris, I., Simitev, R.D., Biktashev, V.N. (2015) Semianalytical approach to criteria for ignition of excitation waves Physical Review E, 92, (doi: 10.1103/PhysRevE.92.042917)

Stewart, P. S., Feng, J., Kimpton, L. S., Griffiths, I. M., Stone, H. A. (2015) Stability of a bi-layer free film: simultaneous or individual rupture events? Journal of Fluid Mechanics, 777, pp. 27-49. (doi: 10.1017/jfm.2015.346)

Cobbold, C. A., Teng, J., Muldowney, J. S. (2015) The influence of host competition and predation on tick densities and management implications Theoretical Ecology, 8, pp. 349-368. (doi: 10.1007/s12080-015-0255-y)

Macnamara, C., Eftimie, R. (2015) Memory versus effector immune responses in oncolytic virotherapies Journal of Theoretical Biology, 377, pp. 1-9. (doi: 10.1016/j.jtbi.2015.04.004)

Macdonald, B., Higham, C., Husmeier, D. (2015) Controversy in mechanistic modelling with Gaussian processes Proceedings of Machine Learning Research, 37, pp. 1539-1547.

El Hamdaoui, M., Merodio, J., Ogden, R. W. (2015) Loss of ellipticity in the combined helical, axial and radial elastic deformations of a fibre-reinforced circular cylindrical tube International Journal of Solids and Structures, 63, pp. 99-108. (doi: 10.1016/j.ijsolstr.2015.02.043)

Ghorai, S., Singh, R., Hill, N.A. (2015) Wavelength selection in gyrotactic bioconvection Bulletin of Mathematical Biology, 77, pp. 1166-1184. (doi: 10.1007/s11538-015-0081-9)

Holzapfel, G. A., Niestrawska, J. A., Ogden, R. W., Reinisch, A. J., Schriefl, A. J. (2015) Modelling non-symmetric collagen fibre dispersion in arterial walls Journal of the Royal Society: Interface, 12, (doi: 10.1098/rsif.2015.0188)

Hughes, J. S., Cobbold, C. A., Haynes, K., Dwyer, G. (2015) The effects of forest spatial structure on insect outbreak dynamics: insights from host-parasitoid models American Naturalist, 183, pp. E130-E152. (doi: 10.1086/680860)

Macdonald, B., Husmeier, D. (2015) Computational inference in systems biology Springer

Penta, R., Gerisch, A. (2015) Investigation of the potential of asymptotic homogenization for elastic composites via a three-dimensional computational study Computing and Visualization in Science, 17, pp. 185-201. (doi: 10.1007/s00791-015-0257-8)

MacTaggart, D., Guglielmino, S.L., Haynes, A.L., Simitev, R., Zuccarello, F. (2015) The magnetic structure of surges in small-scale emerging flux regions Astronomy and Astrophysics, 576, (doi: 10.1051/0004-6361/201424646)

Cai, L., Gao, H., Luo, X., Nie, Y. (2015) Multi-scale modelling of the human left ventricle Scientia Sinica Physica, Mechanica and Astronomica, 45, (doi: 10.1360/SSPMA2013-00100)

Penta, R., Ambrosi, D. (2015) The role of the microvascular tortuosity in tumor transport phenomena Journal of Theoretical Biology, 364, pp. 80-97. (doi: 10.1016/j.jtbi.2014.08.007)

Ogden, R., Saccomandi, G., Wineman, A. (2015) Foreword to the special issue Mechanics of Rubber: In memory of Alan Gent International Journal of Non-Linear Mechanics, 68, pp. 1-8. (doi: 10.1016/j.ijnonlinmec.2014.08.004)

Penta, R., Ambrosi, D., Quarteroni, A. (2015) Multiscale homogenization for fluid and drug transport in vascularized malignant tissues Mathematical Models and Methods in Applied Sciences, 25, pp. 79-108. (doi: 10.1142/S0218202515500037)

Holzapfel, G. A., Ogden, R. W. (2015) On the tension–compression switch in soft fibrous solids European Journal of Mechanics - A/Solids, 49, pp. 561-569. (doi: 10.1016/j.euromechsol.2014.09.005)

Hermans, T., Bishop, K., Stewart, P., Davis, S., Grzybowski, B. (2015) Vortex flows impart chirality-specific lift forces Nature Communications, 6, pp. 5640. (doi: 10.1038/ncomms6640)

Hermans, T. M., Stewart, P. S., Grzybowski, B. A. (2015) A pH-oscillator stretched in space but frozen in time Journal of Physical Chemistry Letters, 6, pp. 760-766. (doi: 10.1021/jz502711c)

Simitev, R. D., Kosovichev, A. G., Busse, F. H. (2015) Dynamo effects near transition from solar to anti-solar differential rotation Astrophysical Journal, 810, (doi: 10.1088/0004-637X/810/1/80)

Gao, H., Qi, N., Ma, X., Griffith, B. E., Berry, C., Luo, X. (2015) Fluid-structure interaction model of human mitral valve within left ventricle Springer International Publishing

Gao, H., Berry, C., Luo, X. (2015) Image-derived human left ventricular modelling with fluid-structure interaction Springer International Publishing

Argungu, M., Bayram, S., Brook, B., Chakrabarti, B., Clayton, R. H., Daly, D. M., Dyson, R. J., Holloway, C., Manhas, V., Naire, S., Shearer, T., Simitev, R. D. (2015) Modelling Afferent Nerve Responses to Bladder Filling

Luo, X.Y. (2015) Modelling flows in collapsible tubes Eolss Publishers

Wang, L., Roper, S. M., Luo, X.Y., Hill, N.A. (2015) Modelling of tear propagation and arrest in fibre-reinforced soft tissue subject to internal pressure Journal of Engineering Mathematics, 95, pp. 249-265. (doi: 10.1007/s10665-014-9757-7)

(2015) Nonlinear Mechanics of Soft Fibrous Materials Springer-Verlag Wien

Ogden, R. W. (2015) Nonlinear elasticity with application to soft fibre-reinforced materials Springer-Verlag Wien

Agraval, U., Qi, N., Stewart, P., Luo, X., Williams, G., Rotchford, A., Ramaesh, K. (2015) Optimum size of iridotomy in uveitis Clinical and Experimental Ophthalmology, 43, pp. 692-696. (doi: 10.1111/ceo.12528)

Stewart, P. S., Jensen, O. E. (2015) Patterns of recruitment and injury in a heterogeneous airway network model Journal of the Royal Society: Interface, 12, (doi: 10.1098/rsif.2015.0523)

Busse, F.H., Simitev, R.D. (2015) Planetary dynamos Elsevier B.V.

Heydtmann, M., Macdonald, B., Lewsey, J., Masson, N., Cunningham, L., Irnazarow, A., Nardone, A., Cosgrave, J., Chick, J. (2015) Tailored dose baclofen in patients with alcoholic liver disease: a case series with 2-year follow-up of hospitalisation Addiction Research and Theory, 23, pp. 510-517. (doi: 10.3109/16066359.2015.1040003)

Penta, R., Ambrosi, D. (2015) The role of microvascular tortuosity in tumor transport phenomena and future perspective for drug delivery PAMM: Proceedings in Applied Mathematics and Mechanics, 15, pp. 101-102. (doi: 10.1002/pamm.201510041)

Penta, R., Mascheroni, P. (2015) The role of the angiogenic network structure on diffusion and consumption of anticancer drugs

2014

Gao, H., Ma, X., Nan, Q., Berry, C., Griffith, B. E., Luo, X. (2014) A finite strain nonlinear human mitral valve model with fluid structure interaction International Journal for Numerical Methods in Biomedical Engineering, 30, pp. 1597-1613. (doi: 10.1002/cnm.2691)

Corson, L.T., Tsakonas, C., Duffy, B.R., Mottram, N.J., Sage, I.C., Brown, C.V., Wilson, S.K. (2014) Deformation of a nearly hemispherical conducting drop due to an electric field: theory and experiment Physics of Fluids, 26, (doi: 10.1063/1.4903223)

Ehret, A. E., Ogden, R. W., Mazza, E. (2014) Non-affine strain measures for continuum models of network materials Proceedings in Applied Mathematics and Mechanics, 14, pp. 435-436. (doi: 10.1002/pamm.201410205)

Dorfmann, L., Ogden, R. W. (2014) Nonlinear response of an electroelastic spherical shell International Journal of Engineering Science, 85, pp. 163-174. (doi: 10.1016/j.ijengsci.2014.09.001)

Eriksson, T.S.E., Watton, P.N., Luo, X.Y., Ventikos, Y. (2014) Modelling volumetric growth in a thick walled fibre reinforced artery Journal of the Mechanics and Physics of Solids, 73, pp. 134-150. (doi: 10.1016/j.jmps.2014.09.003)

Nolan, D.R., Gower, A.L., Destrade, M., Ogden, R.W., McGarry, J.P. (2014) A robust anisotropic hyperelastic formulation for the modelling of soft tissue Journal of the Mechanical Behavior of Biomedical Materials, 39, pp. 48-60. (doi: 10.1016/j.jmbbm.2014.06.016)

Gao, H., Wang, H., Berry, C., Luo, X., Griffith, B. E. (2014) Quasi-static imaged-based immersed boundary-finite element model of human left ventricle in diastole International Journal for Numerical Methods in Biomedical Engineering, 30, pp. 1199-1222. (doi: 10.1002/cnm.2652)

Ogden, R. W., Singh, B. (2014) The effect of rotation and initial stress on the propagation of waves in a transversely isotropic elastic solid Wave Motion, 51, pp. 1108-1126. (doi: 10.1016/j.wavemoti.2014.05.004)

Griffiths, I.M., Kumar, A., Stewart, P.S. (2014) A combined network model for membrane fouling Journal of Colloid and Interface Science, 432, pp. 10-18. (doi: 10.1016/j.jcis.2014.06.021)

Stewart, P. S., Jensen, O. E., Foss, A. J. E. (2014) A theoretical model to allow prediction of the CSF pressure from observing the retinal venous pulse Investigative Ophthalmology and Visual Science, 55, pp. 6319-6323. (doi: 10.1167/iovs.14-14331)

Holzapfel, G. A., Unterberger, M. J., Ogden, R. W. (2014) An affine continuum mechanical model for cross-linked F-actin networks with compliant linker proteins Journal of the Mechanical Behavior of Biomedical Materials, 38, pp. 78-90. (doi: 10.1016/j.jmbbm.2014.05.014)

Taffetani, M., de Falco, C., Penta, R., Ambrosi, D., Ciarletta, P. (2014) Biomechanical modelling in nanomedicine: multiscale approaches and future challenges Archive of Applied Mechanics, 84, pp. 1627-1645. (doi: 10.1007/s00419-014-0864-8)

Gao, H., Carrick, D., Berry, C., Griffith, B. E., Luo, X. (2014) Dynamic finite-strain modelling of the human left ventricle in health and disease using an immersed boundary-finite element method IMA Journal of Applied Mathematics, 79, pp. 978-1010. (doi: 10.1093/imamat/hxu029)

Qureshi, M. U., Vaughan, G. D.A., Sainsbury, C., Johnson, M., Peskin, C. S., Olufsen, M. S., Hill, N.A. (2014) Numerical simulation of blood flow and pressure drop in the pulmonary arterial and venous circulation Biomechanics and Modeling in Mechanobiology, 13, pp. 1137-1154. (doi: 10.1007/s10237-014-0563-y)

Mottram, N. J., Newton, C. J.P. (2014) Introduction to Q-tensor theory arXiv,

Gao, H., Allan, A., McComb, C., Luo, X., Berry, C. (2014) Left ventricular strain and its pattern estimated from cine CMR and validation with DENSE Physics in Medicine and Biology, 59, pp. 3637-3656. (doi: 10.1088/0031-9155/59/13/3637)

Lang, G. E., Stewart, P. S., Vella, D., Waters, S. L., Goriely, A. (2014) Is the Donnan effect sufficient to explain swelling in brain tissue slices? Journal of the Royal Society: Interface, 11, pp. 20140123. (doi: 10.1098/rsif.2014.0123)

Eremeyev, V. A., Lebedev, L. P., Ogden, R. W. (2014) Leonid M. Zubov: a life devoted to nonlinear mechanics International Journal of Engineering Science, 80, pp. 1-3. (doi: 10.1016/j.ijengsci.2014.03.005)

Busse, F. H., Simitev, R. D. (2014) Quasi-geostrophic approximation of anelastic convection Journal of Fluid Mechanics, 751, pp. 216-227. (doi: 10.1017/jfm.2014.293)

Destrade, M., Ogden, R.W., Sgura, I., Vergori, L. (2014) Straightening: existence, uniqueness and stability Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 470, pp. 20130709. (doi: 10.1098/rspa.2013.0709)

Marti, P., Schaeffer, N., Hollerbach, R., Cebron, D., Nore, C., Luddens, F., Guermond, J.L., Aubert, J., Takehiro, S., Sasaki, Y., Hayashi, Y., Simitev, R., Busse, F.H., Vantieghem, S., Jackson, A. (2014) Full sphere hydrodynamic and dynamo benchmarks Geophysical Journal International, 197, pp. 119-134. (doi: 10.1093/gji/ggt518)

Shams, M., Ogden, R. (2014) On Rayleigh-type surface waves in an initially stressed incompressible elastic solid IMA Journal of Applied Mathematics, 79, pp. 360-376. (doi: 10.1093/imamat/hxs070)

Dorfmann, L., Ogden, R. W. (2014) Instabilities of an electroelastic plate International Journal of Engineering Science, 77, pp. 79-101. (doi: 10.1016/j.ijengsci.2013.12.007)

Destrade, M., Ogden, R.W., Sgura, I., Vergori, L. (2014) Straightening wrinkles Journal of the Mechanics and Physics of Solids, 65, pp. 1-11. (doi: 10.1016/j.jmps.2014.01.001)

Tomar, S.K., Ogden, R.W. (2014) Two-dimensional wave propagation in a rotating elastic solid with voids Journal of Sound and Vibration, 333, pp. 1945-1952. (doi: 10.1016/j.jsv.2013.11.043)

El Hamdaoui, M., Merodio, J., Ogden, R. W., Rodriguez, J. (2014) Finite elastic deformations of transversely isotropic circular cylindrical tubes International Journal of Solids and Structures, 51, pp. 1188-1196. (doi: 10.1016/j.ijsolstr.2013.12.019)

Cobbold, C. A., Lutscher, F. (2014) Mean occupancy time: linking mechanistic movement models, population dynamics and landscape ecology to population persistence Journal of Mathematical Biology, 68, pp. 549-579. (doi: 10.1007/s00285-013-0642-1)

Jackson, A., Sheyko, A., Marti, P., Tilgner, A., C'ebron, D., Vantieghema, S., Simitev, R., Busse, F., Zhan, X., Schubert, G., Takehiro, S., Sasaki, Y., Hayashi, Y.-Y., Ribeiro, A., Nore, C., Guermond, J.-L. (2014) A spherical shell numerical dynamo benchmark with pseudo vacuum magnetic boundary conditions Geophysical Journal International, 196, pp. 712-723. (doi: 10.1093/gji/ggt425)

Penta, R., Ambrosi, D., Shipley, R. J. (2014) Effective governing equations for poroelastic growing media Quarterly Journal of Mechanics and Applied Mathematics, 67, pp. 69-91. (doi: 10.1093/qjmam/hbt024)

Gjini, E. A., Haydon, D. T., Barry, J. D., Cobbold, C. A. (2014) Revisiting the diffusion approximation to estimate evolutionary rates of gene family diversification Journal of Theoretical Biology, 341, pp. 111-122. (doi: 10.1016/j.jtbi.2013.10.001)

Steigmann, D. J., Ogden, R.W. (2014) Classical plate buckling theory as the rigorous small thickness limit of three-dimensional incremental elasticity ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik, 94, pp. 7-20. (doi: 10.1002/zamm.201200160)

Holzapfel, G., Ogden, R. W. (2014) Letter to the editor Re "Measurement of the uniaxial mechanical properties of healthy and atherosclerotic human coronary arteries" Materials Science and Engineering C: Biomimetic and Supramolecular Systems, 34, pp. 491-492. (doi: 10.1016/j.msec.2013.10.001)

Holzapfel, G.A., Ogden, R.W. (2014) Re ‘How should we measure and report elasticity of aortic tissue? European Journal of Vascular and Endovascular Surgery, 47, pp. 110-111. (doi: 10.1016/j.ejvs.2013.10.018)

Wang, H.M., Luo, X.Y., Gao, H., Ogden, R.W., Griffith, B.E., Berry, C., Wang, T.J. (2014) A modified Holzapfel-Ogden law for a residually stressed finite strain model of the human left ventricle in diastole Biomechanics and Modeling in Mechanobiology, 13, pp. 99-113. (doi: 10.1007/s10237-013-0488-x)

Zhu, Y., Luo, X.Y., Gao, H., Mccomb, C., Berry, C. (2014) A numerical study of a heart phantom model International Journal of Computer Mathematics, 91, pp. 1535-1551. (doi: 10.1080/00207160.2013.854337)

Christie, M., Nandi, M., Borg, Y., Carapella, V., Mirams, G., Aston, P., Bayram, S., Simitev, R., Siggers, J., Chakrabarti, B. (2014) Mathematical Modelling of Heart Rate Changes in the Mouse

Dorfmann, L., Ogden, R. W. (2014) Nonlinear Theory of Electroelastic and Magnetoelastic Interactions Springer

Penta, R., Ambrosi, D. (2014) Poro-elastic modeling for biological tissues and human eye: recent advances and future perspectives Kugler

2013

Moran, E. V., Berwick, S., Cobbold, C. A. (2013) Effects of plant genotype and insect dispersal rate on the population dynamics of a forest pest Ecology, 94, pp. 2792-2802. (doi: 10.1890/12-1708.1)

Gower, A.L., Destrade, M., Ogden, R.W.&gt; (2013) Counter-intuitive results in acousto-elasticity Wave Motion, 50, pp. 1218-1228. (doi: 10.1016/j.wavemoti.2013.03.007)

Davis, M.J., Stewart, P., Davis, S. (2013) Local effects of gravity on foams Journal of Fluid Mechanics, 737, pp. 1-18. (doi: 10.1017/jfm.2013.433)

Merodio, J., Ogden, R. W., Rodrguez, J. (2013) The influence of residual stress on finite deformation elastic response International Journal of Non-Linear Mechanics, 56, pp. 43-49. (doi: 10.1016/j.ijnonlinmec.2013.02.010)

Destrade, M., Ogden, R.W. (2013) On stress-dependent elastic moduli and wave speeds IMA Journal of Applied Mathematics, 78, pp. 965-997. (doi: 10.1093/imamat/hxs003)

Stewart, P., Davis, S., Hilgenfeldt, S. (2013) Viscous Rayleigh–Taylor instability in aqueous foams Colloids and Surfaces A: Physicochemical and Engineering Aspects, 436, pp. 898-905. (doi: 10.1016/j.colsurfa.2013.08.021)

Bustamante, R., Ogden, R. W. (2013) Nonlinear magnetoelastostatics: energy functionals and their second variation Mathematics and Mechanics of Solids, 18, pp. 760-772. (doi: 10.1177/1081286512448347)

Li, W.G., Hill, N.A., Going, J., Luo, X.Y. (2013) Breaking analysis of artificial elastic tubes and human artery International Journal of Applied Mechanics, 5, pp. 1350024. (doi: 10.1142/S1758825113500245)

Vignaga, E., Sloan, D.M., Luo, X., Haynes, H., Phoenix, V.R., Sloan, W.T. (2013) Erosion of biofilm-bound fluvial sediments Nature Geoscience, 6, pp. 770-774. (doi: 10.1038/ngeo1891)

MacTaggart, D., Elsheikh, A., McLaughlin, J.A., Simitev, R.D. (2013) Non-symmetric magnetohydrostatic equilibria: a multigrid approach Astronomy and Astrophysics, 556, pp. A40. (doi: 10.1051/0004-6361/201220458)

Holzapfel, G.A., Ogden, R.W. (2013) Elasticity of biopolymer filaments Acta Biomaterialia, 9, pp. 7320-7325. (doi: 10.1016/j.actbio.2013.03.001)

Stewart, P.S., Davis, S.H. (2013) Self-similar coalescence of clean foams Journal of Fluid Mechanics, 722, pp. 645-664. (doi: 10.1017/jfm.2013.145)

Li, W.G., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A.W., Bird, N., Luo, X.Y. (2013) Anisotropic behaviour of human gallbladder walls Journal of the Mechanical Behavior of Biomedical Materials, 20, pp. 363-375. (doi: 10.1016/j.jmbbm.2013.02.015)

Saba, L., Tallapally, N., Gao, H., Molinari, F., Anzidei, M., Piga, M., Sanfilippo, R., Suri, J.S. (2013) Semiautomated and automated algorithms for analysis of the carotid artery wall on computed tomography and sonography a correlation study Journal of Ultrasound in Medicine, 32, pp. 665-674.

Gao, H., Kadir, K., Payne, A. R., Soraghan, J., Berry, C. (2013) Highly automatic quantification of myocardial oedema in patients with acute myocardial infarction using bright blood T2-weighted CMR Journal of Cardiovascular Magnetic Resonance, 15, (doi: 10.1186/1532-429X-15-28)

Wu, B., Van Hirtum, A., Luo, X.Y. (2013) Pressure driven steady flow in constricted channels of different cross-section shapes International Journal of Applied Mechanics, 5, pp. 1350002-1. (doi: 10.1142/S1758825113500026)

Gjini, E., Haydon, D.T., Barry, J.D., Cobbold, C.A. (2013) Linking the antigen archive structure to pathogen fitness in African trypanosomes Proceedings of the Royal Society of London Series B: Biological Sciences, 280, pp. 20122129-20122129. (doi: 10.1098/rspb.2012.2129)

Ma, X., Gao, H., Griffith, B. E., Berry, C., Luo, X. (2013) Image-based fluid-structure interaction model of the human mitral valve Computers and Fluids, 71, pp. 417-425. (doi: 10.1016/j.compfluid.2012.10.025)

Wang, H.M., Gao, H., Luo, X.Y., Berry, C., Griffith, B.E., Ogden, R.W., Wang, T.J. (2013) Structure-based finite strain modelling of the human left ventricle in diastole International Journal for Numerical Methods in Biomedical Engineering, 29, pp. 83-103. (doi: 10.1002/cnm.2497)

Zhu, Y., Luo, X., Wang, H., Ogden, R., Berry, C. (2013) Three-dimensional non-linear buckling of thick-walled elastic tubes under pressure International Journal of Non-Linear Mechanics, 48, pp. 1-14. (doi: 10.1016/j.ijnonlinmec.2012.06.013)

Saba, L., Gao, H., Acharya, U.R., Sannia, S., Ledda, G., Suri, J.S. (2013) Analysis of carotid artery plaque and wall boundaries on CT images by using a semi-automatic method based on level set model Neuroradiology, 54, pp. 1207-1214. (doi: 10.1007/s00234-012-1040-x)

Mottram, N.J., Pinto, J.T., McKay, G. (2013) Decoupling of the Ericksen-Leslie equations Liquid Crystals, 40, pp. 787-798. (doi: 10.1080/02678292.2013.783134)

Macdonald, B., Dondelinger, F., Husmeier, D. (2013) Inference in complex biological systems with Gaussian processes and parallel tempering Gruppo Istituto Poligrafico Europeo SRL

Gao, H., Griffith, B. E., Carrick, D., McComb, C., Berry, C., Luo, X. (2013) Initial experience with a dynamic imaging-derived immersed boundary model of human left ventricle Springer Berlin Heidelberg

Wang, F., Li, J.L., Yang, B.X., Hill, N.A. (2013) Modeling and simulation of non-Newtonian fluid mold filling process with phase change Computer Modeling in Engineering and Sciences, 95, pp. 59-85. (doi: 10.3970/cmes.2013.095.059)

Vergori, L., Destrade, M., McGarry, P., Ogden, R. (2013) On anisotropic elasticity and questions concerning its finite element implementation Computational Mechanics, 52, pp. 1185-1197. (doi: 10.1007/s00466-013-0871-6)

Simitev, R.D., Baggaley, A.W., Fearn, D.R. (2013) Proceedings of the 2013 UK national conference on geophysical, astrophysical and industrial magnetohydrodynamics at Glasgow

Kosovichev, A. G., Arlt, R., Bonanno, A., Brandenburg, A., Brun, A. S., Busse, F. H., Dikpati, M., Hara, H., Hill, F., Gilman, P. A., Kitiashvili, I. N., Kleeorin, N., Komm, R., Mansour, N. N., Miesch, M., Nordlund, A., Pevtsov, A. A., Pipin, V. V., Rempel, M., Rogachevskii, I., Ruediger, G., Stein, R. F., Sekii, T., Simitev, R., Stenflo, J. O., Thompson, M. J., Ulrich, R. K., Yokoi, N., Yokoyama, T., Wray, A. A., Zhao, J. (2013) Solar dynamo National Academies Press

Wu, B., Van Hirtum, A., Pelorson, X., Luo, X.Y. (2013) The influence of glottal cross section shape on theoretical flow models Journal of the Acoustical Society of America, 134, pp. 909-912. (doi: 10.1121/1.4813397)

2012

Saxena, P., Ogden, R.W. (2012) On Love-type waves in a finitely deformed magnetoelastic layered half-space Zeitschrift für Angewandte Mathematik und Physik, 63, pp. 1177-1200. (doi: 10.1007/s00033-012-0204-1)

Gao, H., Carrick, D., Kadir, K., McComb, C., Foster, J., Soraghan, J., Luo, X., Berry, C. (2012) Semi-automatic OEDEMA quantification from direct T2 map cardiac MRI Heart, 98, pp. A7-A7. (doi: 10.1136/heartjnl-2012-302951.022)

Kadir, K., Gao, H., Payne, A., Soraghan, J., Berry, C. (2012) LV wall segmentation using the variational level set method (LSM) with additional shape constraint for oedema quantification Physics in Medicine and Biology, 57, pp. 6007-6023. (doi: 10.1088/0031-9155/57/19/6007)

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A.W., Bird, N. (2012) A quasi-nonlinear analysis of the anisotropic behaviour of human gallbladder wall Journal of Biomechanical Engineering, 134, pp. 101009. (doi: 10.1115/1.4007633)

Al-Atabi, M., Ooi, R.C., Luo, X.Y., Chin, S.B., Bird, N.C. (2012) Computational analysis of the flow of bile in human cystic duct Medical Engineering and Physics, 34, pp. 1177-1183. (doi: 10.1016/j.medengphy.2011.12.006)

Jensen, O.E., Hill, N.A. (2012) Preface to special issue dedicated to Professor T.J. Pedley on his 70th birthday Journal of Fluid Mechanics, 705, pp. 1-1. (doi: 10.1017/jfm.2012.252)

Olufsen, M.S., Hill, N.A., Vaughan, G.D.A., Sainsbury, C., Johnson, M. (2012) Rarefaction and blood pressure in systemic and pulmonary arteries Journal of Fluid Mechanics, 705, pp. 280-305. (doi: 10.1017/jfm.2012.220)

Simitev, R.D., Busse, F.H. (2012) How far can minimal models explain the solar cycle? Astrophysical Journal, 749, (doi: 10.1088/0004-637X/749/1/9)

Leinster, T., Cobbold, C. (2012) Measuring diversity: the importance of species similarity Ecology, 93, pp. 477-489. (doi: 10.1890/10-2402.1)

Lockington, D., Luo, X.Y., Wang, H., Hill, N.A., Ramaesh, K. (2012) Mathematical and computer simulation modelling of intracameral forces causing pupil block due to air bubble use in Descemet's Stripping Endothelial Keratoplasty: the mechanics of iris buckling Clinical and Experimental Ophthalmology, 40, pp. 182-186. (doi: 10.1111/j.1442-9071.2011.02653.x)

Davidson, A.J., Mottram, N. (2012) Conformal mapping techniques for the modelling of liquid crystal devices European Journal of Applied Mathematics, 23, pp. 99-119. (doi: 10.1017/S0956792510000380)

Steigmann, D.J., Ogden, R.W. (2012) A note on residual stress, lattice orientation and dislocation density in crystalline solids Journal of Elasticity, 109, pp. 275-283. (doi: 10.1007/s10659-012-9378-1)

Simitev, R.D., Busse, F.H. (2012) Bistable attractors in a model of convection-driven spherical dynamos Physica Scripta, 86, pp. 018409. (doi: 10.1088/0031-8949/86/01/018409)

Stewart, P. S., Davis, S. H. (2012) Dynamics and stability of metallic foams: Network modeling Journal of Rheology, 56, pp. 543. (doi: 10.1122/1.3695029)

Luo, X.Y., Griffith, B.E., Ma, X.S., Yin, M., Wang, T.J., Liang, C.L., Watton, P.N., Bernacca, G.M. (2012) Effect of bending rigidity in a dynamic model of a polyurethane prosthetic mitral valve Biomechanics and Modeling in Mechanobiology, 11, pp. 815-827. (doi: 10.1007/s10237-011-0354-7)

Higham, C.F., Morales, F., Cobbold, C.A., Haydon, D.T., Monckton, D.G. (2012) High levels of somatic DNA diversity at the myotonic dystrophy type 1 locus are driven by ultra-frequent expansion and contraction mutations Human Molecular Genetics, 21, pp. 2450-2463. (doi: 10.1093/hmg/dds059)

da Costa, F.P., Grinfeld, M., Langer, M., Mottram, N.J., Pinto, J.T. (2012) Kickback in nematic liquid crystals Quarterly of Applied Mathematics, 70, pp. 99-110. (doi: 10.1090/S0033-569X-2011-01265-5)

Abiza, Z., Destrade, M., Ogden, R. (2012) Large acoustoelastic effect Wave Motion, 49, pp. 364-374. (doi: 10.1016/j.wavemoti.2011.12.002)

Simitev, R.D., Busse, F.H. (2012) Solar cycle properties described by simple convection-driven dynamos Physica Scripta, 86, pp. 018407. (doi: 10.1088/0031-8949/86/01/018407)

Liu, H.F., Luo, X.Y., Cai, Z.X. (2012) Stability and energy budget of pressure-driven collapsible channel flows Journal of Fluid Mechanics, 705, pp. 348-370. (doi: 10.1017/jfm.2011.254)

Gjini, E., Haydon, D.T., Barry, J.D., Cobbold, C.A. (2012) The impact of mutation and gene conversion on the local diversification of antigen genes in African trypanosomes Molecular Biology and Evolution, 29, pp. 3321-3331. (doi: 10.1093/molbev/mss166)

Simitev, R.D., MacTaggart, D. (2012) The mathematics of fluid dynamos Commutator, 3, pp. 36-41.

2011

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Tian, T.H., Smythe, A., Majeed, A.W., Bird, N. (2011) Cross-bridge apparent rate constants of human gallbladder smooth muscle Journal of Muscle Research and Cell Motility, 32, pp. 209-220. (doi: 10.1007/s10974-011-9260-y)

Gao, H., Long, Q., Kumar Das, S., Halls, J., Graves, M., Gillard, J.H., Li, Z.-Y. (2011) Study of carotid arterial plaque stress for symptomatic and asymptomatic patients Journal of Biomechanics, 44, pp. 2551-2557. (doi: 10.1016/j.jbiomech.2011.07.012)

Grinfeld, M., Langer, M., Mottram, N. J. (2011) Nematic viscosity estimation using director kickback dynamics Liquid Crystals, 38, pp. 981-987. (doi: 10.1080/02678292.2011.588969)

Gao, H., Long, Q., Das, S.K., Sadat, U., Graves, M., Gillard, J.H., Li, Z.Y. (2011) Stress analysis of carotid atheroma in transient ischemic attack patients: evidence for extreme stress-induced plaque rupture Annals of Biomedical Engineering, 39, pp. 2203-2212. (doi: 10.1007/s10439-011-0314-5)

Brown, C. V., McHale, G., Mottram, N. J. (2011) Analysis of a static undulation on the surface of a thin dielectric liquid layer formed by dielectrophoresis forces Journal of Applied Physics, 110, (doi: 10.1063/1.3606435)

Simitev, R.D. (2011) Double-diffusive convection in a rotating cylindrical annulus with conical caps Physics of the Earth and Planetary Interiors, 186, pp. 183-190. (doi: 10.1016/j.pepi.2011.04.007)

Busse, F.H., Simitev, R. (2011) Remarks on some typical assumptions in dynamo theory Geophysical and Astrophysical Fluid Dynamics, 105, pp. 234-247. (doi: 10.1080/03091929.2010.519891)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2011) Numerical solution of finite geometry boundary-value problems in nonlinear magnetoelasticity International Journal of Solids and Structures, 48, pp. 874-883. (doi: 10.1016/j.ijsolstr.2010.11.021)

Li, W.G., Luo, X.Y., Hill, N.A., Ogden, R.W., Smythe, A., Majeed, A., Bird, N. (2011) A mechanical model for CCK-induced acalculous gallbladder pain Annals of Biomedical Engineering, 39, pp. 786-800. (doi: 10.1007/s10439-010-0205-1)

Macnamara, C. K., Roberts, B. (2011) The period ratio for kink and sausage modes in a magnetic slab Astronomy and Astrophysics, 526, (doi: 10.1051/0004-6361/201015460)

Majumdar, A., Mottram, N. (2011) Liquid crystal theory and modelling: Discussion meeting Liquid Crystals Today, 20, pp. 20-21. (doi: 10.1080/1358314x.2010.527662)

Raghib, M., Hill, N.A., Dieckmann, U. (2011) A multiscale maximum entropy moment closure for locally regulated space–time point process models of population dynamics Journal of Mathematical Biology, 62, pp. 605-653. (doi: 10.1007/s00285-010-0345-9)

Simitev, R.D., Biktashev, V.N. (2011) Asymptotics of conduction velocity restitution in models of electrical excitation in the heart Bulletin of Mathematical Biology, 73, pp. 72-115. (doi: 10.1007/s11538-010-9523-6)

Kadir, K., Gao, H., Payne, A., Soraghan, J., Berry, C. (2011) Automatic quantification and 3D visualisation of edema in cardiac MRI (doi: 10.1109/IEMBS.2011.6091978)

Gao, H., Kadir, K., Berry, C., Payen, A., Soraghan, J., Luo, X. (2011) CMRI based 3D left ventricle motion analysis on patients with acute myocardial infarction (doi: 10.1109/IEMBS.2011.6091682)

Cobbold, C.A., Powell, J.A. (2011) Evolution stabilises the synchronising dynamics of poikilotherm life cylces Bulletin of Mathematical Biology, 73, pp. 1052-1081. (doi: 10.1007/s11538-010-9552-1)

Shams, M., Destrade, M., Ogden, R.W. (2011) Initial stresses in elastic solids: constitutive laws and acoustoelasticity Wave Motion, 48, pp. 552-567. (doi: 10.1016/j.wavemoti.2011.04.004)

Luo, X., Li, W., Hill, N., Ogden, R., Smythe, A. (2011) Inverse estimation of fibre reinforced soft tissue of human gallbladder wall

Ogden, R.W. (2011) Magnetostatics: from basic principles to nonlinear interactions in deformable media Springer

(2011) Mechanics and Electrodynamics of Magneto- and Electro-elastic Materials pp. 107-152. (doi: 10.1007/978-3-7091-0701-0)

Luo, X. (2011) Modelling flows in collapsible tubes Eolss Publishers

Allan, A., Gao, H., McComb, C., Berry, C. (2011) Myocardial strain estimated from standard cine MRI closely represents strain estimated from dedicated strain-encoded MRI (doi: 10.1109/IEMBS.2011.6090729)

Destrade, M., Ogden, R.W. (2011) On magnetoacoustic waves in finitely deformed elastic solids Mathematics and Mechanics of Solids, 16, pp. 594-604. (doi: 10.1177/1081286510387695)

Saxena, P., Ogden, R. (2011) On surfaces waves in a finitely deformed magnetoelastic half space International Journal of Applied Mechanics, 3, pp. 633-665. (doi: 10.1142/S1758825111001172)

Holzapfel, G.A., Ogden, R.W. (2011) On the bending and stretching elasticity of biopolymer filaments Journal of Elasticity, 104, pp. 319-342. (doi: 10.1007/s10659-010-9277-2)

Ogden, R.W., Saccomandi, G., Sgura, I. (2011) Phenomenological modeling of DNA overstretching Journal of Nonlinear Mathematical Physics, 18, pp. 411-427. (doi: 10.1142/S140292511100160X)

Ogden, R.W., Singh, B. (2011) Propagation of waves in an incompressible transversely isotropic elastic solid with initial stress: biot revisited Journal of Mechanics of Materials and Structures, 6, pp. 453-477. (doi: 10.2140/jomms.2011.6.453)

Gao, H., Long, Q. (2011) Stress analysis on carotid atherosclerotic plaques by fluid structure interaction Springer

Hackett-Jones, E., White, A., Cobbold, C.A. (2011) The evolution of developmental timing in natural enemy systems Journal of Theoretical Biology, 275, pp. 1-11. (doi: 10.1016/j.jtbi.2010.12.040)

Simitev, R. (2011) Thermal convection: patterns, evolution and stability, by M. Lappa Geophysical and Astrophysical Fluid Dynamics, 105, pp. 109-111. (doi: 10.1080/03091929.2010.506096)

Kadir, K., Gao, H., Payne, A., Soraghan, J., Berry, C. (2011) Variational level set method with shape constraint and application to oedema cardiac magnetic resonance image (doi: 10.1109/ICDSP.2011.6004960)

2010

Yokoi, N., Balarac, G., Kitiashvili, I.N., Kleeorin, N., Kosovichev, A.G., Rogachevskii, I., Simitev, R. (2010) Integrated exploration of turbulent cross-helicity effect: theory, observation, modeling and numerical simulations of the solar convection zone Proceedings of 2010 CTR Summer Program, pp. 493-502.

Destrade, M., Ogden, R.W. (2010) On the third- and fourth-order constants of incompressible isotropic elasticity Journal of the Acoustical Society of America, 128, pp. 3334-3343. (doi: 10.1121/1.3505102)

Evans, C. R., Davidson, A. J., Brown, C. V., Mottram, N. J. (2010) Static alignment states in a bistable azimuthal nematic device with blazed grating sidewalls Journal of Physics D: Applied Physics, 43, (doi: 10.1088/0022-3727/43/49/495105)

Destrade, M., Murphy, J.G., Ogden, R.W. (2010) On deforming a sector of a circular cylindrical tube into an intact tube: existence, uniqueness, and stability International Journal of Engineering Science, 48, pp. 1212-1224. (doi: 10.1016/j.ijengsci.2010.09.011)

Stewart, P.S., Heil, M., Waters, S.L., Jernson, O.E. (2010) Sloshing and slamming oscillations in a collapsible channel flow Journal of Fluid Mechanics, 662, pp. 288-319. (doi: 10.1017/S0022112010003277)

Ghorai, S., Panda, M.K., Hill, N.A. (2010) Bioconvection in a suspension of isotropically scattering phototactic algae Physics of Fluids, 22, pp. 071901. (doi: 10.1063/1.3457163)

Macnamara, C.K., Roberts, B. (2010) Effects of thermal conduction and compressive viscosity on the period ratio of the slow mode Astronomy and Astrophysics, 515, (doi: 10.1051/0004-6361/200913409)

Davidson, A. J., Brown, C. V., Mottram, N. J., Ladak, S., Evans, C. R. (2010) Defect trajectories and domain-wall loop dynamics during two-frequency switching in a bistable azimuthal nematic device Physical Review E, 81, (doi: 10.1103/PhysRevE.81.051712)

Al-Atabi, M., Chin, S.B., Luo, X.Y. (2010) Experimental investigation of the flow of bile in patient specific cystic duct models Journal of Biomechanical Engineering, 132, pp. 041003. (doi: 10.1115/1.4001043)

Hopkins, W., Gao, H., Das, S., Long, Q. (2010) Carotid wall motion analysis based on B-mode ultrasound images (doi: 10.1007/978-3-642-14515-5_222)

Holzapfel, G.A., Ogden, R.W. (2010) Constitutive modelling of arteries Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 466, pp. 1551-1597. (doi: 10.1098/rspa.2010.0058)

Gjini, E., Haydon, D., Barry, J., Cobbold, C. (2010) Critical interplay between parasite differentiation, host immunity and antigenic variation in trypanosome infections American Naturalist, 176, pp. 424-439. (doi: 10.1086/656276)

Gao, H., Long, Q., Graves, M., Li, Z., Gillard, J. (2010) Curvedness study on atherosclerosis plaques and its implications to plaque stress (doi: 10.1007/978-3-642-14515-5_384)

Khan, M., Luo, X.H., Nicolleau, F.C.G.A., Tucker, P.G., Iacono, G.L. (2010) Effects of LES sub-grid flow structure on particle deposition in a plane channel with a ribbed wall International Journal for Numerical Methods in Biomedical Engineering, 26, pp. 999-1015. (doi: 10.1002/cnm.1186)

Yin, M., Luo, X.Y., Wang, T.J., Watton, P.N. (2010) Effects of flow vortex on a chorded mitral valve in the left ventricle International Journal for Numerical Methods in Biomedical Engineering, 26, pp. 381-404. (doi: 10.1002/cnm.1298)

Dorfmann, A., Ogden, R.W. (2010) Electroelastic waves in a finitely deformed electroactive material IMA Journal of Applied Mathematics, 75, pp. 603-636. (doi: 10.1093/imamat/hxq022)

Cisonni, J., Van Hirtum, A., Luo, X.Y., Pelorson, X. (2010) Experimental validation of quasi-one-dimensional and two-dimensional steady glottal flow models Medical and Biological Engineering and Computing, 48, pp. 903-910. (doi: 10.1007/s11517-010-0645-7)

Stewart, P. S., Waters, S. L., Jensen, O. E. (2010) Local instabilities of flow in a flexible channel: Asymmetric flutter driven by a weak critical layer Physics of Fluids, 22, pp. 031902. (doi: 10.1063/1.3337824)

Liu, Z., Xu, X., Lim, F.F.J., Luo, X., Van Hirtum, A., Hill, N.A. (2010) Modeling and simulation of human upper airway Springer-Verlag

Holzapfel, G. A., Ogden, R. W. (2010) Modelling the layer-specific three-dimensional residual stresses in arteries, with an application to the human aorta Journal of the Royal Society: Interface, 7, pp. 787-799. (doi: 10.1098/rsif.2009.0357)

Dorfmann, A., Merodio, J., Ogden, R. W. (2010) Non-smooth solutions in the azimuthal shear of an anisotropic nonlinearly elastic material Journal of Engineering Mathematics, 68, pp. 27-36. (doi: 10.1007/s10665-009-9318-7)

Zhu, Y.F., Luo, X.Y., Ogden, R.W. (2010) Nonlinear axisymmetric deformations of an elastic tube under external pressure European Journal of Mechanics - A/Solids, 29, pp. 216-229. (doi: 10.1016/j.euromechsol.2009.10.004)

Dorfmann, A., Ogden, R.W. (2010) Nonlinear electroelastostatics: Incremental equations and stability International Journal of Engineering Science, 48, pp. 1-14. (doi: 10.1016/j.ijengsci.2008.06.005)

Simitev, R.D., Busse, F.H. (2010) Problems of astrophysical turbulent convection: thermal convection in a layer without boundaries Center for Turbulence Research, Stanford University

Busse, F.H., Simitev, R.D. (2010) Some unusual properties of turbulent convection and dynamos in rotating spherical shells Springer

Stewart, P. S., Waters, S. L., Billingham, J., Jensen, O. E. (2010) Spatially localised growth within global instabilities of flexible channel flows Springer

Liu, H.F., Luo, X.Y., Cai, Z.X. (2010) Stability and Pressure Boundary conditions in the collapsible channel flows ASME

Destrade, M., Gilchrist, M.D., Ogden, R.W. (2010) Third- and fourth-order elasticities of biological soft tissues Journal of the Acoustical Society of America, 127, pp. 2103-2106. (doi: 10.1121/1.3337232)

Simitev, R.D., Busse, F.H., Kosovichev, A.G. (2010) Turbulent 3D MHD dynamo model in spherical shells: regular oscillations of the dipolar field Center for Turbulence Research, Stanford University

2009

Bustamante, R., Dorfmann, A., Ogden, R.W. (2009) On electric body forces and Maxwell stresses in nonlinearly electroelastic solids International Journal of Engineering Science, 47, pp. 1131-1141. (doi: 10.1016/j.ijengsci.2008.10.010)

Holzapfel, G.A., Ogden, R.W. (2009) Constitutive modelling of passive myocardium: a structurally based framework for material characterization Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 367, pp. 3445-3475. (doi: 10.1098/rsta.2009.0091)

Gao, H., Long, Q., Graves, M., Gillard, J.H., Li, Z.Y. (2009) Carotidarterialplaquestressanalysis using fluid–structure interactive simulation based on in-vivo magnetic resonance images of four patients Journal of Biomechanics, 42, pp. 1416-1423. (doi: 10.1016/j.jbiomech.2009.04.010)

Stewart, P., Waters, S.L., Jensen, O.E. (2009) Local and global instabilities of flow in a flexible-walled channel European Journal of Mechanics - B/Fluids, 28, pp. 541-557. (doi: 10.1016/j.euromechflu.2009.03.002)

Gao, H., Long, Q., Graves, M., Gillard, J.H., Li, Z.Y. (2009) Study of reproducibility of human arterial plaque reconstruction and its effects on stress analysis based on multispectral in vivo magnetic resonance imaging Journal of Magnetic Resonance Imaging, 30, pp. 85-93. (doi: 10.1002/jmri.21799)

Ogden, R.W. (2009) Incremental elastic motions superimposed on a finite deformation in the presence of an electromagnetic field International Journal of Non-Linear Mechanics, 44, pp. 570-580. (doi: 10.1016/j.ijnonlinmec.2008.11.017)

Liu, H.F., Luo, X.Y., Cai, Z.X., Pedley, T.J. (2009) Sensitivity of unsteady collapsible channel flows to modelling assumptions Communications in Numerical Methods in Engineering, 25, pp. 483-504. (doi: 10.1002/cnm.1217)

Destrade, M., Ogden, R.W., Saccomandi, G. (2009) Small amplitude waves and stability for a pre-stressed viscoelastic solid Zeitschrift für Angewandte Mathematik und Physik, 60, pp. 511-528. (doi: 10.1007/s00033-008-7147-6)

Ladak, S., Davidson, A., Brown, C. V., Mottram, N. J. (2009) Sidewall control of static azimuthal bistable nematic alignment states Journal of Physics D: Applied Physics, 42, (doi: 10.1088/0022-3727/42/8/085114)

Da Costa, F. P., Grinfeld, M., Mottram, N. J., Pinto, J. T. (2009) Uniqueness in the Freedericksz transition with weak anchoring Journal of Differential Equations, 246, pp. 2590-2600. (doi: 10.1016/j.jde.2009.01.033)

Liang, C., Papadakis, G., Luo, X.Y. (2009) Effect of tube spacing on the vortex shedding characteristics of laminar flow past an inline tube array: a numerical study Computers and Fluids, 38, pp. 950-964. (doi: 10.1016/j.compfluid.2008.10.005)

Hackett-Jones, E., Cobbold, C.A., White, A. (2009) Coexistence of multiple parasitoids on a single host due to differences in parasitoid phenology Theoretical Ecology, 2, pp. 19-31. (doi: 10.1007/s12080-008-0025-1)

Griffith, B.E., Luo, X.Y., McQueen, D.M., Peskin, C.S. (2009) Simulating the fluid dynamics of natural and prosthetic heart valves using the immersed boundary method International Journal of Applied Mechanics, 1, pp. 137-177. (doi: 10.1142/S1758825109000113)

Cobbold, C.A., Roland, J., Lewis, M.A. (2009) The impact of parasitoid emergence time on host-parasitoid population dynamics Theoretical Population Biology, 75, pp. 201-215. (doi: 10.1016/j.tpb.2009.02.004)

Watton, P.N., Hill, N.A. (2009) Evolving mechanical properties of a model of abdominal aortic aneurysm Biomechanics and Modeling in Mechanobiology, 8, pp. 25-42. (doi: 10.1007/s10237-007-0115-9)

Gao, H., Long, Q., Sadat, U., Graves, M., Gillard, J.H., Li, Z.Y. (2009) Stress analysis of carotid atheroma in a transient ischaemic attack patient using the MRI-based fluid–structure interaction method British Journal of Radiology, 82, pp. S46-S54. (doi: 10.1259/bjr/20307071)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2009) Nonlinear electroelastostatics: a variational framework Zeitschrift für Angewandte Mathematik und Physik, 60, pp. 154-177. (doi: http://dx.doi.org/10.1007/s00033-007-7145-0)

Ogden, R.W. (2009) Anisotropy and nonlinear elasticity in arterial wall mechanics Springer

(2009) Biomechanical Modelling at the Molecular, Cellular and Tissue Levels

Simitev, R., Busse, F.H. (2009) Bistability and hysteresis of dipolar dynamos generated by turbulent convection in rotating spherical shells Europhysics Letters, 85, pp. 19001. (doi: 10.1209/0295-5075/85/19001)

Luo, X.Y. (2009) Flow in collapsible tubes or over compliant surfaces for biomedical applications Communications in Numerical Methods in Engineering, 25, pp. 401. (doi: 10.1002/cnm.1245)

Simitev, R.D., Busse, F.H. (2009) Magneto-inertial convection in rotating fluid spheres arXiv,

Higham, C., Wilcox, D., Haydon, D., Cobbold, C., Monckton, D. (2009) Modelling dynamic DNA in mytonic dystrophy

Holzapfel, G.A., Ogden, R.W. (2009) On planar biaxial tests for anisotropic nonlinearly elastic solids: a continuum mechanical framework Mathematics and Mechanics of Solids, 14, pp. 474-489. (doi: 10.1177/1081286507084411)

Ciambella, J., Destrade, M., Ogden, R.W. (2009) On the ABAQUS FEA model of finite viscoelasticity Rubber Chemistry and Technology, 82, pp. 184-193.

2008

Gao, D.Y., Ogden, R.W. (2008) Multiple solutions to non-convex variational problems with implications for phase transitions and numerical computation Quarterly Journal of Mechanics and Applied Mathematics, 61, pp. 497-522. (doi: 10.1093/qjmam/hbn014)

Li, W.G., Luo, X.Y., Chin, S.B., Hill, N.A., Johnson, A.G., Bird, N.C. (2008) Non-Newtonian bile flow in elastic cystic duct: one- and three-dimensional modeling Annals of Biomedical Engineering, 36, pp. 1893-1908. (doi: 10.1007/s10439-008-9563-3)

Gao, H., Long, Q. (2008) Effects of varied lipid core volume and fibrous cap thickness on stress distribution in carotid arterial plaques Journal of Biomechanics, 41, pp. 3053-3059. (doi: 10.1016/j.jbiomech.2008.07.011)

Busse, F.H., Simitev, R.D. (2008) Toroidal flux oscillations as possible causes of geomagnetic excursions and reversals Physics of the Earth and Planetary Interiors, 168, pp. 237-243. (doi: 10.1016/j.pepi.2008.06.007)

Zhu, Y., Luo, X.Y., Ogden, R.W. (2008) Asymmetric bifurcations of thick-walled circular cylindrical elastic tubes under axial loading and external pressure International Journal of Solids and Structures, 45, pp. 3410-3429. (doi: 10.1016/j.ijsolstr.2008.02.005)

Trabi, C. L., Brown, C. V., Smith, A. A. T., Mottram, N. J. (2008) Interferometric method for determining the sum of the flexoelectric coefficients (e1+e3) in an ionic nematic material Applied Physics Letters, 92, (doi: 10.1063/1.2938722)

Gao, D.Y., Ogden, R.W. (2008) Closed-form solutions, extremality and nonsmoothness criteria in a large deformation elasticity problem Zeitschrift für Angewandte Mathematik und Physik, 59, pp. 498-517. (doi: 10.1007/s00033-007-7047-1)

Plaut, E., Lebranchu, Y., Simitev, R., Busse, F.H. (2008) Reynolds stresses and mean fields generated by pure waves: applications to shear flows and convection in a rotating shell Journal of Fluid Mechanics, 602, pp. 303-326. (doi: 10.1017/S0022112008000840)

Quintans Carou, J., Wilson, S. K., Mottram, N. J., Duffy, B. R. (2008) Asymptotic and numerical analysis of a simple model for blade coating Journal of Engineering Mathematics, 63, pp. 155-176. (doi: 10.1007/s10665-008-9226-2)

Luo, X.Y., Cai, Z.X., Li, W.G., Pedley, T.J. (2008) The cascade structure of linear instability in collapsible channel flows Journal of Fluid Mechanics, 600, pp. 45-76. (doi: 10.1017/S0022112008000293)

Li, W.G., Luo, X.Y., Hill, N.A., Smythe, A., Chin, S.B., Johnson, A.G., Bird, N.C. (2008) Correlation of mechanical factors and gallbladder pain Computational and Mathematical Methods in Medicine, 9, pp. 27-45. (doi: 10.1080/17486700701780266)

Biktashev, V.N., Suckley, R., Elkin, Y.E., Simitev, R.D. (2008) Asymptotic analysis and analytical solutions of a model of cardiac excitation Bulletin of Mathematical Biology, 70, pp. 517-554. (doi: 10.1007/s11538-007-9267-0)

Al-Atabi, M., Chin, S.B., Luo, X.Y., Beck, S. (2008) Investigation of the flow in a compliant idealised human cystic duct Journal of Biomechanical Science and Engineering, 3, pp. 411-418. (doi: 10.1299/jbse.3.411)

Watton, P.N., Luo, X.Y., Yin, M., Bernacca, G.M., Wheatley, D.J. (2008) Effect of ventricle motion on the dynamic behaviour of chorded mitral valves Journal of Fluids and Structures, 24, pp. 58-74. (doi: 10.1016/j.jfluidstructs.2007.06.004)

Ottenio, M., Destrade, M., Ogden, R.W. (2008) Incremental magnetoelastic deformations, with application to surface instability Journal of Elasticity, 90, pp. 19-42. (doi: 10.1007/s10659-007-9120-6)

Simitev, R., Biktashev, V.N. (2008) Analytically solvable asymptotic model of atrial excitability Birkhäuser

Kassianidis, F., Ogden, R.W., Merodio, J., Pence, T.J. (2008) Azimuthal shear of a transversely isotropic elastic solid Mathematics and Mechanics of Solids, 13, pp. 690-724. (doi: 10.1177/1081286507079830)

Trabi, C. L., Smith, A. A. T., Mottram, N. J., Brown, C. V. (2008) Flexoelectric polarisation effects in nematic liquid crystal phase gratings (doi: 10.1117/12.794912)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2008) On boundary conditions in nonlinear magneto- and electroelasticity Taylor & Francis

Bustamante, R., Dorfmann, A., Ogden, R.W. (2008) On variational formulations in nonlinear magnetoelastostatics Mathematics and Mechanics of Solids, 13, pp. 725-745. (doi: 10.1177/1081286507079832)

2007

Mottram, N., Davidson, A. (2007) Mutistable reflective liquid crystal device

Diaz, A., McKay, G., Mottram, N. J. (2007) Effect of decoupled azimuthal and zenithal anchoring on smectic-C chevron structures Physical Review E, 76, (doi: 10.1103/physreve.76.041705)

Palto, S. P., Mottram, N. J., Osipov, M. A. (2007) Flexoelectric instability and a spontaneous chiral-symmetry breaking in a nematic liquid crystal cell with asymmetric boundary conditions Physical Review E, 75, (doi: 10.1103/PhysRevE.75.061707)

Luo, X., Calderhead, B., Liu, H., Li, W. (2007) On the initial configurations of collapsible channel flow Computers and Structures, 85, pp. 977-987. (doi: 10.1016/j.compstruc.2006.11.010)

Ghorai, S., Hill, N.A. (2007) Gyrotactic bioconvection in three dimensions Physics of Fluids, 19, pp. 054107. (doi: 10.1063/1.2731793)

Quintans Carou, J., Mottram, N. J., Wilson, S. K., Duffy, B. R. (2007) A mathematical model for blade coating of a nematic liquid crystal Liquid Crystals, 34, pp. 621-631. (doi: 10.1080/13682820701261801)

Smith, A. A. T., Brown, C. V., Mottram, N. J. (2007) Theoretical analysis of the magnetic Fréedericksz transition in the presence of flexoelectricity and ionic contamination Physical Review E, 75, (doi: 10.1103/PhysRevE.75.041704)

Tsakonas, C., Davidson, A. J., Brown, C. V., Mottram, N. J. (2007) Multistable alignment states in nematic liquid crystal filled wells Applied Physics Letters, 90, (doi: 10.1063/1.2713140)

Luo, X., Li, W., Bird, N., Chin, S. B., Hill, N.A., Johnson, A. G. (2007) On the mechanical behavior of the human biliary system World Journal of Gastroenterology, 13, pp. 1384-1392. (doi: 10.3748/wjg.v13.i9.1384)

Dorfmann, A., Ogden, R.W., Wineman, A.S. (2007) A three-dimensional non-linear constitutive law for magnetorheological fluids, with applications International Journal of Non-Linear Mechanics, 42, pp. 381-390. (doi: 10.1016/j.ijnonlinmec.2007.03.002)

Ogden, R.W., Saccomandi, G., Sgura, I. (2007) Computational aspects of Worm-Like-Chain interpolation formulas Computers and Mathematics with Applications, 53, pp. 276-286. (doi: 10.1016/j.camwa.2006.02.024)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2007) A nonlinear magnetoelastic tube under extension and inflation in an axial magnetic field: numerical solution Journal of Engineering Mathematics, 59, pp. 139-153. (doi: 10.1007/s10665-006-9088-4)

Ottenio, M., Destrade, M., Ogden, R.W. (2007) Acoustic waves at the interface of a pre-stressed incompressible elastic solid and a viscous fluid International Journal of Non-Linear Mechanics, 42, pp. 310-320. (doi: 10.1016/j.ijnonlinmec.2006.10.001)

Getling, A.V., Simitev, R., Busse, F.H. (2007) Can cellular convection in a rotating spherical shell maintain both global and local magnetic fields? International Journal of Geomagnetism and Aeronomy, 7, pp. GI1004. (doi: 10.1029/2005GI000138)

Watton, P.N., Luo, X.Y., Wang, X., Bernacca, G.M., Molloy, P., Wheatley, D.J. (2007) Dynamic modelling of prosthetic chorded mitral valves using the immersed boundary method Journal of Biomechanics, 40, pp. 613-626. (doi: 10.1016/j.jbiomech.2006.01.025)

Busse, F.H., Dormy, E., Simitev, R., Soward, A.M. (2007) Dynamics of rotating fluids CRC Press

Al-Atabi, M., Chin, S.B., Beck, S., Luo, X.Y. (2007) Flow in idealised compliant human cystic duct models Springer

Ogden, R.W. (2007) Incremental statics and dynamics of pre-stressed elastic materials Springer

Ogden, R.W., Saccomandi, G. (2007) Introducing mesoscopic information into constitutive equations for arterial walls Biomechanics and Modeling in Mechanobiology, 6, pp. 333-344. (doi: 10.1007/s10237-006-0064-8)

Vaughan, G.A., Connell, J., Johnson, M.K., Olufsen, M.S., Hill, N.A., Sainsbury, C.A.R. (2007) Investigating the relationship between microvascular rarefaction and systemic hypertension: a mathematical and computational model of the circulation Journal of Human Hypertension, 21, pp. 840-840.

Holzapfel, G.A., Sommer, G., Auer, M., Regitnig, P., Ogden, R.W. (2007) Layer-specific 3D residual deformations of human aortas with non-atherosclerotic intimal thickening Annals of Biomedical Engineering, 35, pp. 530-545. (doi: 10.1007/s10439-006-9252-z)

Kassianidid, F., Ogden, R. (2007) On large bending deformations of transversely isotropic rectangular elastic blocks Note di Matematica, 27, pp. 131-154. (doi: 10.1285/i15900932v27n2p131)

Luo, X.Y., Li, W.G., Bird, N., Chin, S.B., Hill, N.A., Johnson, A.G. (2007) On the mechanical behaviour of the human biliary system World Journal of Gastroenterology, 13, pp. 1384-1392.

Li, W.G., Luo, X.Y., Johnson, A.G., Hill, N.A., Bird, N., Chin, S.B. (2007) One-dimensional models for the human biliary system Journal of Biomechanical Engineering, 129, pp. 164-173. (doi: 10.1115/1.2472379)

Busse, F.H., Simitev, R. (2007) Planetary dynamos Elsevier

Liu, Z.S., Luo, X.Y., Lee, H.P., Lu, C. (2007) Snoring source identification and snoring noise prediction Journal of Biomechanics, 40, pp. 861-870. (doi: 10.1016/j.jbiomech.2006.03.022)

Steigmann, D. J., Ogden, R. W. (2007) Surface waves supported by thin-film/substrate interactions IMA Journal of Applied Mathematics, 72, pp. 730-747. (doi: 10.1093/imamat/hxm018)

Lebranchu, Y., Plaut, E., Simitev, R., Busse, F. (2007) Étude théorique d'ondes De Rossby thermiques non linéaires en géométrie sphérique: influence du mode de chauffage Comptes Rendus Rencontre du Non Linéaire, 2007, pp. 95-100.

2006

Mottram, N. J., Care, C. M., Cleaver, D. J. (2006) Control of the nematic-isotropic phase transition by an electric field Physical Review E, 74, (doi: 10.1103/PhysRevE.74.041703)

Bird, N.C., Ooi, R.C., Luo, X.Y., Chin, S.B., Johnson, A.G. (2006) Investigation of the functional three-dimensional anatomy of the human cystic duct: A single helix? Clinical Anatomy, 19, pp. 528-534. (doi: 10.1002/ca.20219)

Mottram, N. J., Brown, C. V. (2006) Pulsed addressing of a dual-frequency nematic liquid crystal Physical Review E, 74, (doi: 10.1103/PhysRevE.74.031703)

Al-Atabi, M., Chin, S.B., Luo, X.Y. (2006) Visualization experiment of flow structures inside two-dimensional human biliary system models Journal of Mechanics in Medicine and Biology (JMMB), 6, pp. 249-260. (doi: 10.1142/S0219519406001911)

Busse, F.H., Simitev, R. (2006) Dynamos of giant planets Proceedings of the International Astronomical Union, 2, pp. 467-474. (doi: 10.1017/S1743921307000920)

Getling, A.V., Simitev, R., Busse, F.H. (2006) Generation of coupled global and local magnetic fields by a cellular MHD dynamo Proceedings of the International Astronomical Union, 2, pp. 482-487. (doi: 10.1017/S1743921307000944)

Busse, F.H., Simitev, R. (2006) Parameter dependences of convection-driven dynamos in rotating spherical fluid shells Geophysical and Astrophysical Fluid Dynamics, 100, pp. 341-361. (doi: 10.1080/03091920600784873)

Al-Atabi, M., Al-Zuhair, S., Chin, S.B., Luo, X.Y. (2006) Pressure drop in laminar and turbulent flows in circular pipe with baffles − an experimental and analytical study International Journal of Fluid Mechanics Research, 33, pp. 303-319. (doi: 10.1615/InterJFluidMechRes.v33.i4.10)

Mottram, N., Ramage, A., Kelly, G., Davidson, A. (2006) Bistable liquid crystal device

Biktasheva, I.V., Simitev, R., Suckley, R., Biktashev, V.N. (2006) Asymptotic properties of mathematical models of excitability Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 364, pp. 1283-1298. (doi: 10.1098/rsta.2006.1770)

Simitev, R., Biktashev, V.N. (2006) Conditions for propagation and block of excitation in an asymptotic model of atrial tissue Biophysical Journal, 90, pp. 2258-2269. (doi: 10.1529/biophysj.105.072637)

Sgura, I., Saccomandi, G., Ogden, R.W. (2006) On worm-like chain models within the three-dimensional continuum mechanics framework Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 462, pp. 749-768. (doi: 10.1098/rspa.2005.1592)

Quintans Carou, J., Duffy, B. R., Mottram, N. J., Wilson, S. K. (2006) Shear-driven and pressure-driven flow of a nematic liquid crystal in a slowly varying channel Physics of Fluids, 18, (doi: 10.1063/1.2145750)

Watton, P.N., Luo, X.Y., Yin, M., Bernacca, G.M., Molloy, P., Wheatley, D.J. (2006) Effects of Ventricle Motion on Chorded Mitral Prostheses (doi: 10.1115/PVP2006-ICPVT-11-93877)

Guillou, A., Ogden, R.W. (2006) Growth in soft biological tissue and residual stress development Springer-Verlag

Gasser, T.C., Ogden, R.W., Holzapfel, G.A. (2006) Hyperelastic modelling of arterial layers with distributed collagen fibre orientations Journal of the Royal Society: Interface, 3, pp. 15-35. (doi: 10.1098/rsif.2005.0073)

(2006) Mechanics of Biological Tissue

Dorfmann, A., Ogden, R.W. (2006) Nonlinear electroelastic deformations Journal of Elasticity, 82, pp. 99-127. (doi: 10.1007/s10659-005-9028-y)

Bustamante, R., Ogden, R.W. (2006) On nonlinear universal relations in nonlinear elasticity Zeitschrift für Angewandte Mathematik und Physik, 57, pp. 708-721. (doi: 10.1007/s00033-006-0068-3)

Merodio, J., Ogden, R.W. (2006) On the equivalence of strong ellipticity in the material and spatial settings of finite elasticity Zeitschrift für Angewandte Mathematik und Physik, 57, pp. 1096-1101. (doi: 10.1007/s00033-006-0078-1)

Domanski, W., Ogden, R.W. (2006) On the null condition for nonlinearly elastic solids Archives of Mechanics, 58, pp. 339-361.

Merodio, J., Ogden, R.W. (2006) The influence of the invariant I8I8 on the stress–deformation and ellipticity characteristics of doubly fiber-reinforced non-linearly elastic solids International Journal of Non-Linear Mechanics, 41, pp. 556-563. (doi: 10.1016/j.ijnonlinmec.2006.02.001)

Bustamante, R., Ogden, R.W. (2006) Universal relations for nonlinear electroelastic solids Acta Mechanica, 182, pp. 125-140. (doi: 10.1007/s00707-005-0290-7)

Bustamante, R., Dorfmann, A., Ogden, R.W. (2006) Universal relations in isotropic nonlinear magnetoelasticity Quarterly Journal of Mechanics and Applied Mathematics, 59, pp. 435-450. (doi: 10.1093/qjmam/hbl010)

Idris, I., Simitev, R., Biktashev, V.N. (2006) Using novel simplified models of excitation for analytic description of initiation propagation and blockage of excitation waves Computers in Cardiology, 33, pp. 213-216.

2005

Diaz, A., Mottram, N. J., McKay, G. (2005) Theoretical model of the transition between C1 and C2 chevron structures in smectic liquid crystals European Physical Journal E, 18, pp. 231-237. (doi: 10.1140/epje/i2005-10041-7)

Dorfmann, A., Ogden, R.W. (2005) Reply to A. Zhong "Discussions on 'A constitutive model for the Mullins effect with permanent set in a particle-reinforced rubber' by A. Dorfmann and R.W. Ogden" International Journal of Solids and Structures, 42, pp. 4909-4910. (doi: 10.1016/j.ijsolstr.2004.12.001)

Marzo, A., Luo, X.Y., Bertram, C.D. (2005) Three-dimensional collapse and steady flow in thick-walled flexible tubes Journal of Fluids and Structures, 20, pp. 817-835. (doi: 10.1016/j.jfluidstructs.2005.03.008)

Ghorai, S., Hill, N.A. (2005) Penetrative phototactic bioconvection Physics of Fluids, 17, pp. 074101. (doi: 10.1063/1.1947807)

Miroshnychenko, D., Hill, N.A., Mottram, N.J., Lydon, J.E. (2005) Evolution from A 2 defect to 1/2 defects in a cylindrical geometry Molecular Crystals and Liquid Crystals, 437, pp. 1495-1511. (doi: 10.1080/15421400590955334)

Simitev, R., Busse, F.H. (2005) Prandtl-number dependence of convection-driven dynamos in rotating spherical fluid shells Journal of Fluid Mechanics, 532, pp. 365-388. (doi: 10.1017/S0022112005004398)

Al-Atabi, M.T., Chin, S.B., Luo, X.Y. (2005) Visualization of mixing of flow in circular tubes with segmental baffles Journal of Visualization, 8, pp. 89. (doi: 10.1007/BF03181649)

Codling, E.A., Hill, N.A. (2005) Sampling rate effects on measurements of correlated and biased random walks Journal of Theoretical Biology, 233, pp. 573-588. (doi: 10.1016/j.jtbi.2004.11.008)

Getling, A.V., Simitev, R., Busse, F.H. (2005) Cellular dynamo in a rotating spherical shell Astronomische Nachrichten, 326, pp. 241-244. (doi: 10.1002/asna.200410383)

Busse, F.H., Simitev, R. (2005) Dynamos driven by convection in rotating spherical shells Astronomische Nachrichten, 326, pp. 231-240. (doi: 10.1002/asna.200410382)

Watton, P.N., Luo, X.Y., Singleton, R., Wang, X., Bernacca, G.M., Molloy, P., Wheatley, D.J. (2005) Modelling Chorded Prosthetic Mitral Valves Using the Immersed Boundary Method (doi: 10.1109/IEMBS.2004.1404051)

Mulholland, J.W., Shelton, J.C., Luo, X. (2005) Blood flow and damage by the roller pumps during cardiopulmonary bypass Journal of Fluids and Structures, 20, pp. 129-140. (doi: 10.1016/j.jfluidstructs.2004.10.008)

Hill, N.A., Pedley, T.J. (2005) Bioconvection Fluid Dynamics Research, 37, pp. 1-20. (doi: 10.1016/j.fluiddyn.2005.03.002)

Codling, E.A., Hill, N.A. (2005) Calculating spatial statistics for velocity jump processes with experimentally observed reorientation parameters Journal of Mathematical Biology, 51, pp. 527-556. (doi: 10.1007/s00285-005-0317-7)

Busse, F.H., Simitev, R. (2005) Convection in rotating spherical fluid shells and its dynamo states CRC Press

Watton, P.N., Luo, X.Y., Wang, X., Bernacca, G.M., Molloy, P., Wheatley, D.J. (2005) Dynamic behaviour of aortic and chorded mitral prostheses

Diaz, A., Mottram, N. J., McKay, G. (2005) Effects of weak anchoring on C1 and C2 chevron structures Molecular Crystals and Liquid Crystals, 438, pp. 17[1581]-25[1589]. (doi: 10.1080/15421400590957080)

Kelly, G., Mottram, N. J., Ramage, A. (2005) Electric field effects on nematic wetting layers Molecular Crystals and Liquid Crystals, 438, pp. 271[1835]-282[1846]. (doi: 10.1080/15421400590955541)

Al-Atabi, M., Chin, S.B., Luo, X.Y. (2005) Flow structure in circular tubes with segmental baffles Journal of Flow Visualization and Image Processing, 12, pp. 301-311. (doi: 10.1615/JFlowVisImageProc.v12.i3.60)

Dunwoody, J., Ogden, R.W. (2005) Heat conduction and controlled deformations in incompressible isotropic elasticity Mathematics and Mechanics of Solids, 10, pp. 487-502. (doi: 10.1177/1081286505036416)

Cobbold, C.A., Lewis, M.A., Lutscher, F., Roland, J. (2005) How parasitism affects critical patch-size in a host-parasitoid model: application to the forest tent caterpillar Theoretical Population Biology, 67, pp. 109-125. (doi: 10.1016/j.tpb.2004.09.004)

Miroshnychenko, D., Hill, N.A., Mottram, N.J., Lydon, J.E. (2005) Liquid Crystal Pre-patterning in Mitosis

Watton, P.N., Hill, N.A., Dodds, S. (2005) Mechanical behaviour of a mathematical model of an abdominal aortic aneurysm subject to a prorogating pulse wave

Merodio, J., Ogden, R.W. (2005) Mechanical response of fiber-reinforced incompressible non-linearly elastic solids International Journal of Non-Linear Mechanics, 40, pp. 213-227. (doi: 10.1016/j.ijnonlinmec.2004.05.003)

Ogden, R.W. (2005) Mechanics of rubberlike solids Springer

Dorfmann, A., Ogden, R.W. (2005) Nonlinear electroelasticity Acta Mechanica, 174, pp. 167-183. (doi: 10.1007/s00707-004-0202-2)

Merodio, J., Ogden, R.W. (2005) On tensile instabilities and ellipticity loss in fiber-reinforced incompressible non-linearly elastic solids Mechanics Research Communications, 32, pp. 290-299. (doi: 10.1016/j.mechrescom.2004.06.008)

Vinh, P.C., Ogden, R.W. (2005) On the Rayleigh wave speed in orthotropic elastic solids Meccanica, 40, pp. 147-161. (doi: 10.1007/s11012-005-1603-6)

Merodio, J., Ogden, R.W. (2005) Remarks on instabilities and ellipticity for a fiber-reinforced compressible nonlinearly elastic solid under plane deformation Quarterly of Applied Mathematics, 63, pp. 325-333.

Dorfmann, A., Ogden, R.W. (2005) Some problems in nonlinear magnetoelasticity Zeitschrift für Angewandte Mathematik und Physik, 56, pp. 718-745. (doi: 10.1007/s00033-004-4066-z)

Quintans Carou, J., Duffy, B. R., Mottram, N. J., Wilson, S. K. (2005) Steady flow of a nematic liquid crystal in a slowly varying channel Molecular Crystals and Liquid Crystals, 438, pp. 237[1801]-249[1839]. (doi: 10.1080/15421400590955569)

Destrade, A., Ogden, R.W. (2005) Surface waves in a stretched and sheared incompressible elastic material International Journal of Non-Linear Mechanics, 40, pp. 241-253. (doi: 10.1016/j.ijnonlinmec.2004.05.008)

Merodio, J., Ogden, R.W. (2005) Tensile instabilities and ellipticity in fiber-reinforced compressible non-linearly elastic solids International Journal of Engineering Science, 43, pp. 697-706. (doi: 10.1016/j.ijengsci.2005.01.001)

Dorfmann, A., Ogden, R.W., Saccomandi, G. (2005) The effect of rotation on the nonlinear magnetoelastic response of a circular cylindrical tube International Journal of Solids and Structures, 42, pp. 3700-3715. (doi: 10.1016/j.ijsolstr.2004.11.019)

2004

Ooi, R.C., Luo, X.Y., Chin, S.B., Johnson, A.G., Bird, N.C. (2004) The flow of bile in the human cystic duct Journal of Biomechanics, 37, pp. 1913-1922. (doi: 10.1016/j.jbiomech.2004.02.029)

Horgan, C.O., Ogden, R.W., Saccomandi, G. (2004) A theory of stress softening of elastomers based on finite chain extensibility Proceedings of the Royal Society of London Series A: Mathematical, Physical and Engineering Sciences, 460, pp. 1737-1754. (doi: 10.1098/rspa.2003.1248)

Luo, X.Y., Hinton, J.S., Liew, T.T., Tan, K.K. (2004) LES modelling of flow in a simple airway model Medical Engineering and Physics, 26, pp. 403-413. (doi: 10.1016/j.medengphy.2004.02.008)

Simitev, R., Busse, F.H. (2004) Inertial convection in rotating fluid spheres Journal of Fluid Mechanics, 498, pp. 23-30. (doi: 10.1017/S0022112003006943)

Kirkinis, E., Ogden, R.W., Haughton, D.M. (2004) Some solutions for a compressible isotropic elastic material Zeitschrift für Angewandte Mathematik und Physik, 55, pp. 136-158. (doi: 10.1007/s00033-003-3048-x)

Dorfmann, A., Ogden, R.W. (2004) A constitutive model for the Mullins effect with permanent set in particle-reinforced rubber International Journal of Solids and Structures, 41, pp. 1855-1878. (doi: 10.1016/j.ijsolstr.2003.11.014)

Watton, P.N., Hill, N.A., Heil, M. (2004) A mathematical model for the growth of the abdominal aortic aneurysm Biomechanics and Modeling in Mechanobiology, 3, pp. 98-113. (doi: 10.1007/s10237-004-0052-9)

Holzapfel, G.A., Gasser, T.C., Ogden, R.W. (2004) Comparison of a multi-layer structural model for arterial walls with a fung-type model, and issues of material stability Journal of Biomechanical Engineering, 126, pp. 264-275. (doi: 10.1115/1.1695572)

Ogden, R.W. (2004) Elasticity and inelasticity of rubber Springer

Ogden, R.W., Saccomandi, G., Sgura, I. (2004) Fitting hyperelastic models to experimental data Computational Mechanics, 34, pp. 484-502. (doi: 10.1007/s00466-004-0593-y)

Woods, P. D., Stewart, I. W., Mottram, N. J. (2004) Flow effect in director relaxation of bookshelf aligned smectic C liquid crystals Molecular Crystals and Liquid Crystals, 413, pp. 271-278. (doi: 10.1080/15421400490437088)

Vinh, P.C., Ogden, R.W. (2004) Formulas for the Rayleigh wave speed in orthotropic elastic solids Archives of Mechanics, 56, pp. 247-265.

(2004) Mechanics and Thermomechanics of Rubberlike Solids 452,

Dorfmann, A., Ogden, R.W. (2004) Nonlinear magnetoelastic deformations Quarterly Journal of Mechanics and Applied Mathematics, 57, pp. 599-622. (doi: 10.1093/qjmam/57.4.599)

Dorfmann, A., Ogden, R.W. (2004) Nonlinear magnetoelastic deformations of elastomers Acta Mechanica, 167, pp. 13-28. (doi: 10.1007/s00707-003-0061-2)

Ogden, R.W., Vinh, P.C. (2004) On Rayleigh waves in incompressible orthotropic elastic solids Journal of the Acoustical Society of America, 115, pp. 530-533. (doi: 10.1121/1.1636464)

Vinh, P.C., Ogden, R.W. (2004) On formulas for the Rayleigh wave speed Wave Motion, 39, pp. 191-197. (doi: 10.1016/j.wavemoti.2003.08.004)

Codling, E.A., Hill, N.A., Pitchford, J.W., Simpson, S.D. (2004) Random walk models for the movement and recruitment of reef fish larvae Marine Ecology Progress Series, 279, pp. 215-224. (doi: 10.3354/meps279215)

Dorfmann, A., Ogden, R.W., Saccomandi, G. (2004) Universal relations for non-linear magnetoelastic solids International Journal of Non-Linear Mechanics, 39, pp. 1699-1708. (doi: 10.1016/j.ijnonlinmec.2004.03.002)

2003

Brown, C. V., Mottram, N. J. (2003) Influence of flexoelectricity above the nematic Fréedericksz transition Physical Review E, 68, (doi: 10.1103/PhysRevE.68.031702)

Webster, R. E., Mottram, N. J., Cleaver, D. J. (2003) Molecular simulation of chevrons in confined smectic liquid crystals Physical Review E, 68, (doi: 10.1103/PhysRevE.68.021706)

Simitev, R. (2003) Inertial wave convection in rotating spherical fluid shells Defense Technical Information Center

Kirkinis, E., Ogden, R.W. (2003) On helical shear of a compressible elastic circular cylindrical tube Quarterly Journal of Mechanics and Applied Mathematics, 56, pp. 105-122. (doi: 10.1093/qjmam/56.1.105)

Cai, Z.X., Luo, X.Y. (2003) A fluid-beam model for flow in collapsible channels Journal of Fluids and Structures, 17, pp. 125-146. (doi: 10.1016/S0889-9746(02)00112-3)

Merodio, J., Ogden, R.W. (2003) A note on strong ellipticity for transversely isotropic linearly elastic solids Quarterly Journal of Mechanics and Applied Mathematics, 56, pp. 589-591. (doi: 10.1093/qjmam/56.4.589)

Dorfmann, A., Ogden, R.W. (2003) A pseudo-elastic model for loading, partial unloading and reloading of particle-reinforced rubber International Journal of Solids and Structures, 40, pp. 2699-2714. (doi: 10.1016/S0020-7683(03)00089-1)

(2003) Biomechanics of Soft Tissue in Cardiovascular Systems 441,

McKay, G., MacKenzie, K.R., Mottram, N.J. (2003) Competing polarization effects in a homeotropically aligned smectic liquid crystal (doi: 10.1080/00150190490509854)

Busse, F.H., Grote, E., Simitev, R. (2003) Convection in rotating spherical shells and its dynamo action Taylor & Francis

Luo, X.Y., Li, W.G., Li, J. (2003) Geometrical stress reducing factors in the anisotropic porcine heart valves Journal of Biomechanical Engineering, 125, pp. 735-744. (doi: 10.1115/1.1614821)

Merodio, J., Ogden, R.W. (2003) Instabilities and loss of ellipticity in fiber-reinforced compressible non-linearly elastic solids under plane deformation International Journal of Solids and Structures, 40, pp. 4707-4727. (doi: 10.1016/S0020-7683(03)00309-3)

Dorfmann, A., Ogden, R.W. (2003) Magnetoelastic modelling of elastomers European Journal of Mechanics - A/Solids, 22, pp. 497-507. (doi: 10.1016/S0997-7538(03)00067-6)

Ogden, R.W. (2003) Nonlinear Elasticity with Application to Material Modelling Polish Academy of Sciences

Ogden, R.W. (2003) Nonlinear elasticity, anisotropy, material stability and residual stresses in soft tissue Springer-Verlag

Simitev, R., Busse, F.H. (2003) Parameter dependences of convection driven spherical dynamos Springer

Simitev, R., Busse, F.H. (2003) Patterns of convection in rotating spherical shells New Journal of Physics, 5, pp. 97. (doi: 10.1088/1367-2630/5/1/397)

2002

Ghorai, S., Hill, N.A. (2002) Axisymmetric bioconvection in a cylinder Journal of Theoretical Biology, 219, pp. 137-152. (doi: 10.1006/jtbi.2002.3077)

Hill, N.A., Bees, M.A. (2002) Taylor dispersion of gyrotactic swimming micro-organisms in a linear flow Physics of Fluids, 14, pp. 2598-2605. (doi: 10.1063/1.1458003)

Hu, Z., Luo, X.Y., Luo, K.H. (2002) Numerical simulation of particle dispersion in a spatially developing mixing layer Theoretical and Computational Fluid Dynamics, 15, pp. 403-420. (doi: 10.1007/s00162-002-0058-9)

Dunwoody, J., Ogden, R.W. (2002) On the thermodynamic stability of elastic heat-conducting solids subject to a deformation--temperature constraint Mathematics and Mechanics of Solids, 7, pp. 285-306. (doi: 10.1177/108128602027736)

Davidson, A. J., Mottram, N. J. (2002) Flexoelectric switching in a bistable nematic device Physical Review E, 65, (doi: 10.1103/PhysRevE.65.051710)

Cobbold, C.A., Sherratt, J.A., Maxwell, S.R.J. (2002) Lipoprotein oxidation and its significance for atherosclerosis: a mathematical approach Bulletin of Mathematical Biology, 64, pp. 65-95. (doi: 10.1006/bulm.2001.0267)

Grote, E., Busse, F.H., Simitev, R. (2002) Buoyancy driven convection in rotating spherical shells and its dynamo action Springer

Woods, P.D., Mottram, N.J., Stewart, I.W. (2002) Flow induced by director relaxation in smectic C* materials Ferroelectrics, 277, pp. 251-258. (doi: 10.1080/00150190214451)

Ramage, A., Mottram, N.J. (2002) In-layer defects in smectic C materials Ferroelectrics, 278, pp. 57-65. (doi: 10.1080/00150190214459)

Mottram, N.J., Hogan, S.J. (2002) Magnetic field-induced changes in molecular order in nematic liquid crystals Continuum Mechanics and Thermodynamics, 14, pp. 281-295. (doi: 10.1007/s00161-002-0097-x)

Merodio, J., Ogden, R.W. (2002) Material instabilities in fibre-reinforced nonlinearly elastic solids under plane deformation Archives of Mechanics, 54, pp. 525-552.

Kirkinis, E., Ogden, R.W. (2002) On extension and torsion of a compressible elastic circular cylinder Mathematics and Mechanics of Solids, 7, pp. 373-392. (doi: 10.1177/108128028476)

Ogden, R.W., Steigmann, D.J. (2002) Plane strain dynamics of elastic solids with intrinsic boundary elasticity, with application to surface wave propagation Journal of the Mechanics and Physics of Solids, 50, pp. 1869-1896. (doi: 10.1016/S0022-5096(02)00006-6)

Dorfmann, A., Fuller, K.N.G., Ogden, R.W. (2002) Shear, compressive and dilatational response of rubberlike solids subject to cavitation damage International Journal of Solids and Structures, 39, pp. 1845-1861. (doi: 10.1016/S0020-7683(02)00008-2)

Kelly, G., Mottram, N., Ramage, A. (2002) The effect of elastic anisotropy on nematic disclination lines British Liquid Crystal Society Newsletter,

Gei, M., Ogden, R.W. (2002) Vibration of a surface-coated elastic block subject to bending Mathematics and Mechanics of Solids, 7, pp. 607-628. (doi: 10.1177/108128602029657)

2001

Li, J., Luo, X.Y., Kuang, Z.B. (2001) A nonlinear anisotropic model for porcine aortic heart valves Journal of Biomechanics, 34, pp. 1279-1289. (doi: 10.1016/S0021-9290(01)00092-6)

Cobbold, C.A. (2001) The role of nitric oxide in the formation of keloid and hypertrophic lesions Medical Hypotheses, 57, pp. 497-502. (doi: 10.1054/mehy.2001.1373)

Ogden, R.W. (2001) Stress softening and residual strain in the azimuthal shear of pseudo-elastic circular cylindrical tube International Journal of Non-Linear Mechanics, 36, pp. 477-487. (doi: 10.1016/S0020-7462(00)00080-9)

Hussain, W., Ogden, R.W. (2001) The effect of pre-strain on the reflection and transmission of plane waves at an elastic interface International Journal of Engineering Science, 39, pp. 929-950. (doi: 10.1016/S0020-7225(00)00076-8)

Beldon, S.M., Mottram, N.J., Elston, S.J. (2001) A chevron model of the electroclinic effect across the Sa*-SC* phase transition in a SSFLC Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 365, pp. 729-738. (doi: 10.1080/10587250108025352)

Hill, N.A., Spendiff, M.K. (2001) A model for the interaction between intimal hyperplasia and blood flow American Society of Mechanical Engineers

Hill, N.A., Watton, P.N. (2001) Abdominal aortic aneurysms - a new mathematical model American Society of Mechanical Engineers

Ogden, R.W. (2001) Elements of the theory of finite elasticity Cambridge University Press

(2001) Nonlinear Elasticity: Theory and Applications (doi: 10.1017/CBO9780511526466)

Ogden, R.W. (2001) Pseudo-elasticity and stress softening Cambridge University Press

Beccherelli, R., Judge, L. A., Mottram, N. J., Elston, S. J. (2001) Surface evanescent field characterisation of antiferroelectric liquid crystals Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 358, pp. 263-274. (doi: 10.1080/10587250108028286)

Mottram, N. J., Elston, S. J. (2001) The influence of polar surface anchoring on switching in antiferroelectric liquid crystals Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 364, pp. 361-371. (doi: 10.1080/10587250108025005)

2000

Mottram, N. J., Elston, S. J. (2000) Theoretical investigation into the effects of polar anchoring in antiferroelectric liquid crystal cells Physical Review E, 62, pp. 6787-6794. (doi: 10.1103/PhysRevE.62.6787)

Mottram, N. J., Sluckin, T. J., Elston, S. J., Towler, M. J. (2000) Shear-induced melting of smectic-A liquid crystals Physical Review E, 62, pp. 5064-5080. (doi: 10.1103/PhysRevE.62.5064)

Roberts, A., Hill, N.A., Hicks, R. (2000) Simple mechanisms organise orientation of escape swimming in embryos and hatchling tadpoles of Xenopus laevis Journal of Experimental Biology, 203, pp. 1869-1885.

Mottram, N. J., Elston, S. J. (2000) Thresholdless and hysteretic switching in aflc cells with polar anchoring Ferroelectrics, 246, pp. 51-59. (doi: 10.1080/00150190008230052)

Ghorai, S., Hill, N.A. (2000) Wavelengths of gyrotactic plumes in bioconvection Bulletin of Mathematical Biology, 62, pp. 429-450. (doi: 10.1006/bulm.1999.0160)

Hill, N.A., Plumpton, L.A. (2000) Control strategies for the polarotactic orientation of the microorganism Euglena gracilis Journal of Theoretical Biology, 203, pp. 357-365. (doi: 10.1006/jtbi.2000.1090)

Beccherelli, R., Mottram, N.J., Elston, S.J. (2000) Homogeneous and heterogeneous switching in antiferroelectric liquid crystals European Physical Journal: Applied Physics, 9, pp. 247-252. (doi: 10.1051/epjap:2000111)

Ghorai, S., Hill, N.A. (2000) Periodic arrays of gyrotactic plumes in bioconvection Physics of Fluids, 12, pp. 5-22. (doi: 10.1063/1.870249)

Holzapfel, G.A., Gasser, T.C., Ogden, R.W. (2000) A new constitutive framework for arterial wall mechanics and a comparative study of material models Journal of Elasticity, 61, pp. 1-48. (doi: 10.1023/A:1010835316564)

Mottram, N.J., Sluckin, T.J. (2000) Defect-induced melting in nematic liquid crystals Liquid Crystals, 27, pp. 1301-1304. (doi: 10.1080/026782900423340)

Mottram, N. J., Elston, S. J. (2000) Formation and stability of smectic C chevrons Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 351, pp. 323-333. (doi: 10.1080/10587250008023282)

Cobbold, C.A., Sherratt, J. A. (2000) Mathematical modelling of nitric oxide activity in wound healing can explain keloid and hypertrophic scarring Journal of Theoretical Biology, 204, pp. 257-288. (doi: 10.1006/jtbi.2000.2012)

Luo, X., Pedley, T.J. (2000) Multiple solutions and flow limitation in collapsible channel flows Journal of Fluid Mechanics, 420, pp. 301-324.

Elston, S. J., Mottram, N. (2000) Order parameter variation in smectic liquid crystals Wiley

Mottram, N.J., Sluckin, T.J., Elston, S.J., Towler, M.J. (2000) Periodic layer slipping in a sheared smectic a cell Molecular Crystals and Liquid Crystals, 347, pp. 179-188. (doi: 10.1080/10587250008024839)

1999

Ghorai, S., Hill, N.A. (1999) Development and stability of gyrotactic plumes in bioconvection Journal of Fluid Mechanics, 400, pp. 1-31. (doi: 10.1017/S0022112099006473)

Mottram, N.J., Elston, S.J. (1999) Preliminary communication: thresholdless switching induced by polar anchoring in antiferroelectric liquid crystals Liquid Crystals, 26, pp. 1853-1856. (doi: 10.1080/026782999203535)

Mottram, N.J., Elston, S.J. (1999) A bilayer model of the double hysteresis loop in antiferroelectric liquid crystals Liquid Crystals, 26, pp. 1625-1636. (doi: 10.1080/02678292.1999.11509446)

Mottram, N.J., Elston, S.J. (1999) Shearing of planar smectic C chevrons European Physical Journal B, 12, pp. 277-284. (doi: 10.1007/s100510051005)

Biktashev, V., Biktasheva, I., Holden, A., Tsyganov, M., Brindley, J., Hill, N.A. (1999) Spatiotemporal irregularity in an excitable medium with shear flow Physical Review E, 60, pp. 1897-1900. (doi: 10.1103/PhysRevE.60.1897)

Mottram, N. J., Beccherelli, R., Elston, S. J. (1999) The pre-transitional effect in antiferroelectric liquid crystals: a comparison between theory and experiment Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 328, pp. 65-73. (doi: 10.1080/10587259908026046)

Mottram, N.J., Ul Islam, N., Elston, S.J. (1999) Biaxial modeling of the structure of the chevron interface in smectic liquid crystals Physical Review E, 60, pp. 613-619. (doi: 10.1103/PhysRevE.60.613)

Ul Islam, N., Mottram, N.J., Elston, S.J. (1999) Stability of the formation of the chevron structure Liquid Crystals, 26, pp. 1059-1065. (doi: 10.1080/026782999204417)

Biktashev, V.N., Biktasheva, I.V., Holden, A.V., Tsyganov, M.A., Brindley, J., Hill, N.A. (1999) Effects of shear flows on nonlinear waves in excitable media Journal of Biological Physics, 25, pp. 101-113. (doi: 10.1023/A:1005160932148)

Mottram, N.J. (1999) Order parameter theory of the pre-transitional behaviour in antiferroelectric liquid crystals Liquid Crystals, 26, pp. 457-464. (doi: 10.1080/026782999205254)

Bees, M., Hill, N. (1999) Non-linear bioconvection in a deep suspension of gyrotactic swimming micro-organisms Journal of Mathematical Biology, 38, pp. 135-168.

Mottram, N. J., Elston, S. J. (1999) Order parameter theory for switching in antiferroelectric liquid crystals Molecular Crystals and Liquid Crystals Science and Technology. Section A. Molecular Crystals and Liquid Crystals, 330, pp. 557-564. (doi: 10.1080/10587259908025634)

1998

Biktashev, V., Holden, A., Tsyganov, M., Brindley, J., Hill, N.A. (1998) Excitation wave breaking in excitable media with linear shear flow Physical Review Letters, 81, pp. 2815-2818. (doi: 10.1103/PhysRevLett.81.2815)

Bees, M.A., Hill, N.A. (1998) Linear bioconvection in a suspension of randomly swimming, gyrotactic micro-organisms Physics of Fluids, 10, pp. 1864-1881. (doi: 10.1063/1.869704)

Luo, X., Pedley, T.J. (1998) The effects of wall inertia on flow in a two-dimensional collapsible channel Journal of Fluid Mechanics, 363, pp. 253-280. (doi: 10.1017/S0022112098001062)

Bees, M.A., Hill, N., Pedley, T.J. (1998) Analytical approximations for the orientation distribution of small dipolar particles in steady shear flows Journal of Mathematical Biology, 36, pp. 269-298. (doi: 10.1007/s002850050101)

Pedley, T.J., Luo, X.Y. (1998) Modelling flow and oscillations in collapsible tubes Theoretical and Computational Fluid Dynamics, 10, pp. 277-294. (doi: 10.1007/s001620050064)

Kessler, J.O., Hill, N.A., Strittmatter, R., Wiseley, D. (1998) Sedimenting particles and swimming microorganisms in a rotating fluid Advances in Space Research, 21, pp. 1269-1275. (doi: 10.1016/S0273-1177(97)00398-0)

1997

Mottram, N.J., Hogan, S.J. (1997) Disclination core structure and induced phase change in nematic liquid crystals Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 355, pp. 2045-2064. (doi: 10.1098/rsta.1997.0106)

Mottram, N.J., Hogan, S.J. (1997) Multiple solutions in twisted nematic liquid crystal layers Continuum Mechanics and Thermodynamics, 9, pp. 213-228. (doi: 10.1007/s001610050067)

Hill, N.A., Häder, D.-P. (1997) A biased random walk model for the trajectories of swimming micro-organisms Journal of Theoretical Biology, 186, pp. 503-526. (doi: 10.1006/jtbi.1997.0421)

Bees, M.A., Hill, N.A. (1997) Wavelengths of bioconvection patterns Journal of Experimental Biology, 200, pp. 1515-1526.

Hill, N.A. (1997) Bioconvection Prentice Hall

Kessler, J.O., Hill, N.A. (1997) Complementarity of physics, biology and geometry in the dynamics of swimming micro-organisms Springer

1996

Vincent, R.V., Hill, N.A. (1996) Bioconvection in a suspension of phototactic algae Journal of Fluid Mechanics, 327, pp. 343-371. (doi: 10.1017/S0022112096008579)

Luo, X., Pedley, T.J. (1996) A numerical simulation of unsteady flow in a two-dimensional collapsible channel Journal of Fluid Mechanics, 314, pp. 191-225. (doi: 10.1017/S0022112096000286)

1995

Luo, X.Y., Pedley, T.J. (1995) A numerical simulation of steady flow in a 2-D collapsible channel Journal of Fluids and Structures, 9, pp. 149-174. (doi: 10.1006/jfls.1995.1008)

Pedley, T.J., Luo, X.Y. (T.) (1995) Fluid Mechanics of Large Blood Vessels Shaanxi People's Press

1994

Kessler, J.O., Hoelzer, M.A., Pedley, T.J., Hill, N.A. (1994) Functional patterns of swimming bacteria Cambridge University Press

Kessler, J.O., Hill, N.A. (1994) Microbial consumption patterns Addison-Wesley

1993

Hill, N.A., Vincent, R.V. (1993) A simple model and strategies for orientation in phototactic microorganisms Journal of Theoretical Biology, 163, pp. 223-235. (doi: 10.1006/jtbi.1993.1118)

Hill, N.A. (1993) Trajectories of swimming micro-organisms and continuum models of bioconvection Plenum Press

1992

Kessler, J.O., Hill, N.A., Hader, D.-P. (1992) Orientation of swimming flagellates by simultaneously acting external factors Journal of Phycology, 28, pp. 816-822. (doi: 10.1111/j.0022-3646.1992.00816.x)

Luo, X.Y., Kuang, Z.B. (1992) Non-Newtonian flow patterns associated with an arterial stenosis Journal of Biomechanical Engineering, 114, pp. 512-514. (doi: 10.1115/1.2894103)

Luo, X.Y., Kuang, Z.B. (1992) A study on the constitutive equation of blood Journal of Biomechanics, 25, pp. 929-934. (doi: 10.1016/0021-9290(92)90233-Q)

Luo, X.Y., Kuang, Z.B. (1992) Finite element analysis of pulsatile flow patterns associated with an arterial stenosis Chinese Journal of Theoretical and Applied Mechanics, 24, pp. 320-328.

Davis, R.H., Hill, N.A. (1992) Hydrodynamic diffusion of a sphere sedimenting through a dilute suspension of neutrally buoyant spheres Journal of Fluid Mechanics, 236, pp. 513-533. (doi: 10.1017/S0022112092001514)

1991

Luo, X., Kuang, Z.-b. (1991) Finite element analysis of steady flow in stenotic arterial models Chinese Journal of Applied Mechanics, 8, pp. 19-26.

1990

Luo, X.Y., Kuang, Z.B. (1990) Velocity, pressure and shear stress distributions in a pulsatile stenotic flow South China University of Technology Press, pp. 336-339.

1989

Hill, N.A., Pedley, T.J., Kessler, J.O. (1989) Growth of bioconvection patterns in a suspension of gyrotactic micro-organisms in a layer of finite depth Journal of Fluid Mechanics, 208, pp. 509-543. (doi: 10.1017/S0022112089002922)

1988

Pedley, T.J., Hill, N.A., Kessler, J.O. (1988) The growth of bioconvection patterns in a uniform suspension of gyrotactic micro-organisms Journal of Fluid Mechanics, 195, pp. 223-237. (doi: 10.1017/S0022112088002393)

Hill, N.,A. (1988) Numerical studies of “side-by-side” and other modes for the Taylor problem in a finite annulus Computers and Fluids, 16, pp. 445-458. (doi: 10.1016/0045-7930(88)90027-8)

1987

Xu, Q.Y., Luo, X.Y. (1987) An improved algorithm for solving non­linear eigenvalue problem of dynamic substructures Jisuan Jiegou Lixue Jiqi Yingyong = Computational Structural Mechanics and Applications, 4, pp. 23-32.

1986

Xu, Q., Luo, X. (1986) A dynamic analysis and experimental research on a radar antenna Chinese Journal of Applied Mechanics, 3, pp. 33-34.