Kakariadis, E. T.A., Katsoulis, E. G., Laca, M., Li, X. (2021) Co-universality and controlled maps on product systems over right LCM-semigroups Analysis and PDE,

Donovan, W., Wemyss, M. (2021) Stringy Kähler moduli, mutation and monodromy Journal of Differential Geometry,

Dervan, R., Sektnan, L. M. (2021) Optimal symplectic connections on holomorphic submersions Communications on Pure and Applied Mathematics, 74, pp. 2132-2184. (doi: 10.1002/cpa.21930)

Dervan, R., Sektnan, L. M. (2021) Moduli theory, stability of fibrations and optimal symplectic connections Geometry and Topology, 25, pp. 2643-2697. (doi: 10.2140/gt.2021.25.2643)

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)

Boyd, R., Hepworth, R., Patzt, P. (2021) The homology of the Brauer algebras Selecta Mathematica, 27, (doi: 10.1007/s00029-021-00697-4)

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)

Boyd, R., Hepworth, R. (2021) Combinatorics of injective words for Temperley-Lieb algebras Journal of Combinatorial Theory, Series A, 181, (doi: 10.1016/j.jcta.2021.105446)

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)

Muthiah, D. (2021) Weyl group action on weight zero Mirković-Vilonen basis and equivariant multiplicities Advances in Mathematics, 385, (doi: 10.1016/j.aim.2021.107793)

Brown, K.A., Zhang, J.J. (2021) Survey on Hopf algebras of GK-dimension 1 and 2 Contemporary Mathematics, 771, pp. 43-62. (doi: 10.1090/conm/771/15507)

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

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

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)

Dervan, R., Sektnan, L. M. (2021) Uniqueness of optimal symplectic connections Forum of Mathematics, Sigma, 9, (doi: 10.1017/fms.2021.15)

Baker, A. (2021) On the dual of a P-algebra and its comodules, with applications to comparison of some Bousfield classes

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)

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

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)

Dervan, R., Sektnan, L. M. (2021) Hermitian Yang–Mills connections on blowups Journal of Geometric Analysis, 31, pp. 516-542. (doi: 10.1007/s12220-019-00286-0)


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)

Boyd, R. (2020) The low-dimensional homology of finite-rank Coxeter groups Algebraic and Geometric Topology, 20, pp. 2609-2655. (doi: 10.2140/agt.2020.20.2609)

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.

Muthiah, D., Weekes, A., Yacobi, O. (2020) On a conjecture of Pappas and Rapoport about the standard local model for GL_ d Journal fur die Reine und Angewandte Mathematik (Crelles Journal), 772, pp. 175-185. (doi: 10.1515/crelle-2020-0030)

Gorbounov, V.G., Korff, C., Stroppel, C. (2020) Yang-Baxter algebras, convolution algebras, and Grassmannians Russian Mathematical Surveys, 75, (doi: 10.1070/RM9959)

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)

Muthiah, D., Puskás, A., Whitehead, I. (2020) Correction factors for Kac–Moody groups and t-deformed root multiplicities Mathematische Zeitschrift, 296, pp. 127-145. (doi: 10.1007/s00209-019-02419-1)

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

Boyd, R. (2020) Homological stability for Artin monoids Proceedings of the London Mathematical Society, 121, pp. 537-583. (doi: 10.1112/plms.12335)

Dervan, R. (2020) K-semistability of optimal degenerations Quarterly Journal of Mathematics, 71, pp. 989-995. (doi: 10.1093/qmathj/haaa012)

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)

Dervan, R., Székelyhidi, G. (2020) The Kähler–Ricci flow and optimal degenerations Journal of Differential Geometry, 116, pp. 187-203. (doi: 10.4310/jdg/1599271255)

Muthiah, D., Weekes, A., Yacobi, O. (2020) The equations defining affine Grassmannians in type A and a conjecture of Kreiman, Lakshmibai, Magyar, and Weyman International Mathematics Research Notices, 2022, pp. 1922-1972. (doi: 10.1093/imrn/rnaa131)

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

Dervan, R., Sektnan, L. M. (2020) Extremal metrics on fibrations Proceedings of the London Mathematical Society, 120, pp. 587-616. (doi: 10.1112/plms.12297)

Baker, A. (2020) Homotopy theory of modules over a commutative $S-algebra: some tools and examples arXiv,

Pressland, M. (2020) Mutation of frozen Jacobian algebras Journal of Algebra, 546, pp. 236-273. (doi: 10.1016/j.jalgebra.2019.10.035)

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)

Korff, C., Palazzo, D. (2020) Cylindric symmetric functions and positivity Algebraic Combinatorics, 3, pp. 191-247. (doi: 10.5802/alco.90)

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)

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

Baker, A. (2020) Power operations in K-theory completed at a prime Tbilisi Mathematical Journal, pp. 33-49.

Baker, A., Bauer, T. (2020) The realizability of some finite-length modules over the Steenrod algebra by spaces Algebraic and Geometric Topology, 20, pp. 2129-2143. (doi: 10.2140/agt.2020.20.2129)


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)

Dervan, R. (2018) Relative K-stability for Kähler manifolds Mathematische Annalen, 372, pp. 859-889. (doi: 10.1007/s00208-017-1592-5)

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

Muthiah, D., Tingley, P. (2018) Affine PBW bases and affine MV polytopes Selecta Mathematica - New Series, 24, pp. 4781-4810. (doi: 10.1007/s00029-018-0436-9)

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)

Kamnitzer, J., Muthiah, D., Weekes, A. (2018) On a reducedness conjecture for spherical Schubert varieties and slices in the affine Grassmannian Transformation Groups, 23, pp. 707-722. (doi: 10.1007/s00031-017-9455-4)

Baker, A. (2018) Iterated doubles of the Joker and their realisability Homology, Homotopy and Applications, 20, pp. 341-360. (doi: 10.4310/HHA.2018.v20.n2.a17)

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)

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)

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)

Korff, C., Palazzo, D. (2018) Cylindric reverse plane partitions and 2D TQFT Séminaire Lotharingien de Combinatoire, 80B,

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)

Muthiah, D. (2018) On Iwahori-Hecke algebras for p-adic loop groups: double coset basis and Bruhat order American Journal of Mathematics, 140, pp. 221-244. (doi: 10.1353/ajm.2018.0004)

Kamnitzer, J., Muthiah, D., Weekes, A., Yacobi, O. (2018) Reducedness of affine Grassmannian slices in type A Proceedings of the American Mathematical Society, 146, pp. 861-874. (doi: 10.1090/proc/13850)

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)

Baker, A. (2018) Characteristics for E∞ ring spectra Contemporary Mathematics, 708, pp. 1-17. (doi: 10.1090/conm/708)

Grabowski, J. E., Pressland, M. (2018) Graded Frobenius cluster categories Documenta Mathematica, 23, pp. 49-76. (doi: 10.25537/DM.2018V23.49-76)

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)

Muthiah, D., Orr, D. (2018) Walk algebras, distinguished subexpressions, and point counting in Kac-Moody flag varieties American Mathematical Society


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)

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

Pressland, M. (2017) Internally Calabi–Yau algebras and cluster-tilting objects Mathematische Zeitschrift, 287, pp. 555-585. (doi: 10.1007/s00209-016-1837-0)

Dervan, R., Ross, J. (2017) K-stability for Kähler manifolds Mathematical Research Letters, 24, pp. 689-739. (doi: 10.4310/MRL.2017.v24.n3.a5)

King, A., Pressland, M. (2017) Labelled seeds and the mutation group Mathematical Proceedings of the Cambridge Philosophical Society, 163, pp. 193-217. (doi: 10.1017/s0305004116000918)

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)

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

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)

Baker, A. (2017) E∞ ring spectra and elements of Hopf invariant 1 Boletín de la Sociedad Matemática Mexicana, 23, pp. 195-231. (doi: 10.1007/s40590-016-0096-8)

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)

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

Korff, C. (2017) Dimers, crystals and quantum Kostka numbers Seminaire Lotharingien de Combinatoire, 78B.40, pp. 12pp.

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)


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)

Dervan, R. (2016) Alpha invariants and coercivity of the Mabuchi functional on Fano manifolds Annales de la Faculté des sciences de Toulouse : Mathématiques, 25, pp. 919-934. (doi: 10.5802/afst.1515)

Dervan, R. (2016) On K-stability of finite covers Bulletin of the London Mathematical Society, 48, pp. 717-728. (doi: 10.1112/blms/bdw029)

Codogni, G., Dervan, R. (2016) Non-reductive automorphism groups, the Loewy filtration and K-stability Annales de l’institut Fourier, 66, pp. 1895-1921. (doi: 10.5802/aif.3052)

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)

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)

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)

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)

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)

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.

Dervan, R. (2016) Uniform stability of twisted constant scalar curvature Kähler metrics International Mathematics Research Notices, 2016, pp. 4728-4783. (doi: 10.1093/imrn/rnv291)


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)

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)

Dervan, R. (2014) Alpha invariants and K-Stability for general polarizations of Fano varieties International Mathematics Research Notices, 2015, pp. 7162-7189. (doi: 10.1093/imrn/rnu160)

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)

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)

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)

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)

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)

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.

Baker, A., Richter, B. (2014) Some properties of the Thom spectrum over loop suspension of complex projective space Contemporary Mathematics, 617, pp. 1-12. (doi: 10.1090/conm/617)


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)

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)

Baker, A. (2013) BP: close encounters of the E∞ kind Journal of Homotopy and Related Structures, 9, pp. 257-282. (doi: 10.1007/s40062-013-0051-6)

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)

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)

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)

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)

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)

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)

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)


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)

Baker, A., Richter, B. (2011) Galois theory and Lubin-Tate cochains on classifying spaces Central European Journal of Mathematics, 9, pp. 1074-1087. (doi: 10.2478/s11533-011-0058-3)

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)

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.

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)

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.


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

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)

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)

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)

(2010) Proceedings of the Workshop "Geometric Aspects of Discrete and Ultra-Discrete Integrable Systems" (March 30 − April 3, 2009, University of Glasgow, UK)

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


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)

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)

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.

Baker, A. (2009) L-complete Hopf algebroids and their comodules Contemporary Mathematics, 504, pp. 1-22.

Baker, A.J., Richter, B. (2009) New Topological Contexts for Galois Theory and Algebraic Geometry (BIRS 2008) Mathematical Sciences Publishers

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)

Postgraduate students

Refine By

Algebra - Example Research Projects

Our group has an active PhD student community, and every year we admit new PhD students. We welcome applications from across the world, and we encourage you to browse our available supervisors, and also to consult our general advice on how to navigate the application process.


Regular seminars relevant to the group are held as part of the Algebra and Number Theory seminar series. You can find a full list of the seminars within the school on the main seminars page, where you can subscribe to their respective calendars.