Professor Ian Strachan
- Professor of Mathematical Physics (Mathematics)
telephone:
01413302479
email:
Ian.Strachan@glasgow.ac.uk
Room 408, The Mathematics and Statistics Building, University of Glasgow, University Place, Glasgow, G12 8SQ
https://orcid.org/0000-0001-6265-5043Personal assistant: Ms Lynsey-Anne Moffat
email: Lynsey-Anne.Moffat@glasgow.ac.uk
Research interests
My research interests lie at the intersection of mathematical physics, geometry and exactly solvable, or integrable, nonlinear differential equations.
Specific topics include: the theory of Frobenius manifolds, Topological Quantum Field Theories, dispersionless integrable systems and their deformations, bi-Hamiltonian structures, singularity theory, twistor theory and self-duality equations.
Research groups
Publications
2021
Stedman, R. and Strachan, I. A.B. (2021) Extended ⋁-systems and trigonometric solutions to the WDVV equations. Journal of Mathematical Physics, 62(2), 022301. (doi: 10.1063/5.0024108)
Strachan, I. A.B. and Bridgeland, T. (2021) Complex hyperkähler structures defined by Donaldson–Thomas invariants. Letters in Mathematical Physics, 111, 54. (doi: 10.1007/s11005-021-01388-z)
2019
Dubrovin, B., Strachan, I. A.B. , Zhang, Y. and 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)
Strachan, I. A.B. (2019) A construction of multidimensional Dubrovin-Novikov brackets. Journal of Nonlinear Mathematical Physics, 26(2), pp. 202-213. (doi: 10.1080/14029251.2019.1591716)
2017
Strachan, I. A.B. and Zuo, D. (2017) Frobenius manifolds and Frobenius algebra-valued integrable systems. Letters in Mathematical Physics, 107(6), pp. 997-1026. (doi: 10.1007/s11005-017-0939-x)
Strachan, I. A.B. and Stedman, R. (2017) Generalized Legendre transformations and symmetries of the WDVV equations. Journal of Physics A: Mathematical and Theoretical, 50(9), 095202. (doi: 10.1088/1751-8121/aa58b2)
2015
Strachan, I. A.B. and Zuo, D. (2015) Integrability of the Frobenius algebra-valued Kadomtsev-Petviashvili hierarchy. Journal of Mathematical Physics, 56(11), 113509. (doi: 10.1063/1.4935936)
Strachan, I. , Brendle, T. and Wilson, A. (2015) Online assessment and feedback: how to square the circle. 8th Annual University of Glasgow Learning and Teaching Conference, Glasgow, UK, 14 Apr 2015.
2014
David, L. and 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(3), pp. 641-674. (doi: 10.2422/2036-2145.201205_010)
Strachan, I. B. and Szablikowski, B. M. (2014) Novikov algebras and a classification of multicomponent Camassa-Holm equations. Studies in Applied Mathematics, 133(1), pp. 84-117. (doi: 10.1111/sapm.12040)
David, L. and Strachan, I. A. B. (2014) tt*-geometry on the big phase space. Communications in Mathematical Physics, 329(1), pp. 295-323. (doi: 10.1007/s00220-014-1964-6)
2012
Morrison, E.K. and Strachan, I.A.B. (2012) Polynomial modular Frobenius manifolds. Physica D: Nonlinear Phenomena, 241(23-24), pp. 2145-2155. (doi: 10.1016/j.physd.2011.12.006)
Strachan, I. A.B. (2012) Simple elliptic singularities: a note on their G-function. Asian Journal of Mathematics, 16(3), pp. 409-426. (doi: 10.4310/AJM.2012.v16.n3.a3)
2011
David, L. and Strachan, I. A.B. (2011) Dubrovin's duality for F-manifolds with eventual identities. Advances in Mathematics, 226(5), pp. 4031-4060. (doi: 10.1016/j.aim.2010.11.006)
2010
Morrison, E.K. and Strachan, I. (2010) Modular frobenius manifolds and their invariant flows. International Mathematics Research Notices, 2011(17), pp. 3957-3982. (doi: 10.1093/imrn/rnq236)
Strachan, I.A.B. (2010) Weyl groups and elliptic solutions of the WDVV equations. Advances in Mathematics, 224(5), pp. 1801-1838. (doi: 10.1016/j.aim.2010.01.013)
2009
Feigin, M., Korff, C. and 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(A), pp. 1-3. (doi: 10.1017/S0017089508004734)
Strachan, I.A.B. (2009) Differential and Functional Identities for the Elliptic Trilogarithm. Symmetry, Integrability and Geometry: Methods and Applications, 5, 031. (doi: 10.3842/SIGMA.2009.031)
2008
Ferguson, J. and 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(1), pp. 1-25. (doi: 10.1007/s00220-008-0464-y)
2007
Dunajski, M., Grant, J.D.E. and Strachan, I.A.B. (2007) Multidimensional integrable systems and deformations of Lie algebra homomorphisms. Journal of Mathematical Physics, 48, 093502. (doi: 10.1063/1.2777008)
Riley, A. and 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(1), pp. 82-94. (doi: 10.2991/jnmp.2007.14.1.7)
2006
David, L. and Strachan, I.A.B. (2006) Conformally flat pencils of metrics, Frobenius structures and a modified Saito construction. Journal of Geometry and Physics, 56(9), pp. 1561-1575. (doi: 10.1016/j.geomphys.2005.08.003)
Riley, A. and Strachan, I.A.B. (2006) Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations. Letters in Mathematical Physics, 77(3), pp. 221-234. (doi: 10.1007/s11005-006-0096-0)
2005
Kokotov, A. and 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(5-6), pp. 857-876.
2004
Strachan, I.A.B. (2004) Frobenius manifolds: natural submanifolds and induced bi-Hamiltonian structures. Differential Geometry and its Applications, 20(1), pp. 67-99. (doi: 10.1016/j.difgeo.2003.10.001)
David, L. and 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(1813), pp. 2633-2647. (doi: 10.1098/rsta.2003.1261)
Strachan, I.A.B. (2003) Deformations of the Monge/Riemann hierarchy and approximately integrable systems. Journal of Mathematical Physics, 44(1), pp. 251-262. (doi: 10.1063/1.1522134)
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(19), pp. 1035-1051. (doi: 10.1155/S107379280320502X)
2002
Dancer, A.S. and Strachan, I.A.B. (2002) Einstein metrics on tangent bundles of spheres. Classical and Quantum Gravity, 19(18), pp. 4663-4670. (doi: 10.1088/0264-9381/19/18/303)
Strachan, I.A.B. (2002) Frobenius manifolds and the biHamiltonian structure on discriminant hypersurfaces. In: Guest, M.A., Miyaoka, R. and Ohnita, Y. (eds.) Integrable Systems, Topology, and Physics: A Conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000. Series: Contemporary mathematics (309). American Mathematical Society: Providence, USA, pp. 251-265. ISBN 9780821829394
2001
Strachan, I.A.B. (2001) Deformations of dispersionless KdV hierarchies. Letters in Mathematical Physics, 58(2), pp. 129-140. (doi: 10.1023/A:1013370516221)
Strachan, I.A.B. (2001) Frobenius submanifolds. Journal of Geometry and Physics, 38(3-4), pp. 285-307. (doi: 10.1016/S0393-0440(00)00064-4)
McCarthy, O.D. and Strachan, I.A.B. (2001) Unitized Jordan algebras and dispersionless KdV equations. Journal of Physics A: Mathematical and General, 34(11), pp. 2435-2442. (doi: 10.1088/0305-4470/34/11/332)
2000
Strachan, I.A.B. (2000) Jordan manifolds and dispersionless KdV equations. Journal of Nonlinear Mathematical Physics, 7(4), pp. 495-510. (doi: 10.2991/jnmp.2000.7.4.7)
Strachan, I.A.B. (2000) Degenerate bi-Hamiltonian structures of the hydrodynamic type. Theoretical and Mathematical Physics, 122(2), pp. 247-255. (doi: 10.1007/BF02551201)
1999
Strachan, I.A.B. (1999) Degenerate Frobenius manifolds and the bi-Hamiltonian structure of rational Lax equations. Journal of Mathematical Physics, 40(10), pp. 5058-5079. (doi: 10.1063/1.533015)
Grant, J. D.E. and Strachan, I.A.B. (1999) Hypercomplex integrable systems. Nonlinearity, 12(5), pp. 1247-1261. (doi: 10.1088/0951-7715/12/5/302)
Speight, J.M. and Strachan, I.A.B. (1999) Gravity thaws the frozen moduli of the ℂP1 lump. Physics Letters B, 457(1-3), pp. 17-22. (doi: 10.1016/S0370-2693(99)00526-2)
1997
Strachan, I.A.B. (1997) A geometry for multidimensional integrable systems. Journal of Geometry and Physics, 21(3), pp. 255-278. (doi: 10.1016/S0393-0440(96)00019-8)
1996
Fairlie, D.B. and Strachan, I.A.B. (1996) The algebraic and Hamiltonian structure of the dispersionless Benney and Toda hierarchies. Inverse Problems, 12(6), 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(18), pp. 6117-6124. (doi: 10.1088/0305-4470/29/18/036)
Fairlie, D.B. and Strachan, I.A.B. (1996) The Hamiltonian structure of the dispersionless Toda hierarchy. Physica D: Nonlinear Phenomena, 90(1-2), pp. 1-8. (doi: 10.1016/0167-2789(95)00229-4)
Strachan, I.A.B. (1996) On the integrability of a third-order Monge-Ampère type equation. Physics Letters A, 210(4-5), pp. 267-272. (doi: 10.1016/0375-9601(95)00944-2)
1995
Strachan, I.A.B. (1995) The symmetry structure of the anti-self-dual Einstein hierarchy. Journal of Mathematical Physics, 36(7), 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(7), 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(1928), 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(3), pp. 790-795. (doi: 10.1007/BF01017069)
1993
Strachan, I.A.B. (1993) Hierarchy of conservation laws for self-dual gravity. Classical and Quantum Gravity, 10(7), 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(1), 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(5), 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(7), 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(1-2), 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(1), 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(3-4), pp. 123-126. (doi: 10.1016/0375-9601(91)90748-W)
Articles
Stedman, R. and Strachan, I. A.B. (2021) Extended ⋁-systems and trigonometric solutions to the WDVV equations. Journal of Mathematical Physics, 62(2), 022301. (doi: 10.1063/5.0024108)
Strachan, I. A.B. and Bridgeland, T. (2021) Complex hyperkähler structures defined by Donaldson–Thomas invariants. Letters in Mathematical Physics, 111, 54. (doi: 10.1007/s11005-021-01388-z)
Dubrovin, B., Strachan, I. A.B. , Zhang, Y. and 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)
Strachan, I. A.B. (2019) A construction of multidimensional Dubrovin-Novikov brackets. Journal of Nonlinear Mathematical Physics, 26(2), pp. 202-213. (doi: 10.1080/14029251.2019.1591716)
Strachan, I. A.B. and Zuo, D. (2017) Frobenius manifolds and Frobenius algebra-valued integrable systems. Letters in Mathematical Physics, 107(6), pp. 997-1026. (doi: 10.1007/s11005-017-0939-x)
Strachan, I. A.B. and Stedman, R. (2017) Generalized Legendre transformations and symmetries of the WDVV equations. Journal of Physics A: Mathematical and Theoretical, 50(9), 095202. (doi: 10.1088/1751-8121/aa58b2)
Strachan, I. A.B. and Zuo, D. (2015) Integrability of the Frobenius algebra-valued Kadomtsev-Petviashvili hierarchy. Journal of Mathematical Physics, 56(11), 113509. (doi: 10.1063/1.4935936)
David, L. and 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(3), pp. 641-674. (doi: 10.2422/2036-2145.201205_010)
Strachan, I. B. and Szablikowski, B. M. (2014) Novikov algebras and a classification of multicomponent Camassa-Holm equations. Studies in Applied Mathematics, 133(1), pp. 84-117. (doi: 10.1111/sapm.12040)
David, L. and Strachan, I. A. B. (2014) tt*-geometry on the big phase space. Communications in Mathematical Physics, 329(1), pp. 295-323. (doi: 10.1007/s00220-014-1964-6)
Morrison, E.K. and Strachan, I.A.B. (2012) Polynomial modular Frobenius manifolds. Physica D: Nonlinear Phenomena, 241(23-24), pp. 2145-2155. (doi: 10.1016/j.physd.2011.12.006)
Strachan, I. A.B. (2012) Simple elliptic singularities: a note on their G-function. Asian Journal of Mathematics, 16(3), pp. 409-426. (doi: 10.4310/AJM.2012.v16.n3.a3)
David, L. and Strachan, I. A.B. (2011) Dubrovin's duality for F-manifolds with eventual identities. Advances in Mathematics, 226(5), pp. 4031-4060. (doi: 10.1016/j.aim.2010.11.006)
Morrison, E.K. and Strachan, I. (2010) Modular frobenius manifolds and their invariant flows. International Mathematics Research Notices, 2011(17), pp. 3957-3982. (doi: 10.1093/imrn/rnq236)
Strachan, I.A.B. (2010) Weyl groups and elliptic solutions of the WDVV equations. Advances in Mathematics, 224(5), pp. 1801-1838. (doi: 10.1016/j.aim.2010.01.013)
Feigin, M., Korff, C. and 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(A), pp. 1-3. (doi: 10.1017/S0017089508004734)
Strachan, I.A.B. (2009) Differential and Functional Identities for the Elliptic Trilogarithm. Symmetry, Integrability and Geometry: Methods and Applications, 5, 031. (doi: 10.3842/SIGMA.2009.031)
Ferguson, J. and 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(1), pp. 1-25. (doi: 10.1007/s00220-008-0464-y)
Dunajski, M., Grant, J.D.E. and Strachan, I.A.B. (2007) Multidimensional integrable systems and deformations of Lie algebra homomorphisms. Journal of Mathematical Physics, 48, 093502. (doi: 10.1063/1.2777008)
Riley, A. and 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(1), pp. 82-94. (doi: 10.2991/jnmp.2007.14.1.7)
David, L. and Strachan, I.A.B. (2006) Conformally flat pencils of metrics, Frobenius structures and a modified Saito construction. Journal of Geometry and Physics, 56(9), pp. 1561-1575. (doi: 10.1016/j.geomphys.2005.08.003)
Riley, A. and Strachan, I.A.B. (2006) Duality for Jacobi group orbit spaces and elliptic solutions of the WDVV equations. Letters in Mathematical Physics, 77(3), pp. 221-234. (doi: 10.1007/s11005-006-0096-0)
Kokotov, A. and 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(5-6), pp. 857-876.
Strachan, I.A.B. (2004) Frobenius manifolds: natural submanifolds and induced bi-Hamiltonian structures. Differential Geometry and its Applications, 20(1), pp. 67-99. (doi: 10.1016/j.difgeo.2003.10.001)
David, L. and 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)
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(1813), pp. 2633-2647. (doi: 10.1098/rsta.2003.1261)
Strachan, I.A.B. (2003) Deformations of the Monge/Riemann hierarchy and approximately integrable systems. Journal of Mathematical Physics, 44(1), pp. 251-262. (doi: 10.1063/1.1522134)
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(19), pp. 1035-1051. (doi: 10.1155/S107379280320502X)
Dancer, A.S. and Strachan, I.A.B. (2002) Einstein metrics on tangent bundles of spheres. Classical and Quantum Gravity, 19(18), pp. 4663-4670. (doi: 10.1088/0264-9381/19/18/303)
Strachan, I.A.B. (2001) Deformations of dispersionless KdV hierarchies. Letters in Mathematical Physics, 58(2), pp. 129-140. (doi: 10.1023/A:1013370516221)
Strachan, I.A.B. (2001) Frobenius submanifolds. Journal of Geometry and Physics, 38(3-4), pp. 285-307. (doi: 10.1016/S0393-0440(00)00064-4)
McCarthy, O.D. and Strachan, I.A.B. (2001) Unitized Jordan algebras and dispersionless KdV equations. Journal of Physics A: Mathematical and General, 34(11), pp. 2435-2442. (doi: 10.1088/0305-4470/34/11/332)
Strachan, I.A.B. (2000) Jordan manifolds and dispersionless KdV equations. Journal of Nonlinear Mathematical Physics, 7(4), pp. 495-510. (doi: 10.2991/jnmp.2000.7.4.7)
Strachan, I.A.B. (2000) Degenerate bi-Hamiltonian structures of the hydrodynamic type. Theoretical and Mathematical Physics, 122(2), pp. 247-255. (doi: 10.1007/BF02551201)
Strachan, I.A.B. (1999) Degenerate Frobenius manifolds and the bi-Hamiltonian structure of rational Lax equations. Journal of Mathematical Physics, 40(10), pp. 5058-5079. (doi: 10.1063/1.533015)
Grant, J. D.E. and Strachan, I.A.B. (1999) Hypercomplex integrable systems. Nonlinearity, 12(5), pp. 1247-1261. (doi: 10.1088/0951-7715/12/5/302)
Speight, J.M. and Strachan, I.A.B. (1999) Gravity thaws the frozen moduli of the ℂP1 lump. Physics Letters B, 457(1-3), pp. 17-22. (doi: 10.1016/S0370-2693(99)00526-2)
Strachan, I.A.B. (1997) A geometry for multidimensional integrable systems. Journal of Geometry and Physics, 21(3), pp. 255-278. (doi: 10.1016/S0393-0440(96)00019-8)
Fairlie, D.B. and Strachan, I.A.B. (1996) The algebraic and Hamiltonian structure of the dispersionless Benney and Toda hierarchies. Inverse Problems, 12(6), 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(18), pp. 6117-6124. (doi: 10.1088/0305-4470/29/18/036)
Fairlie, D.B. and Strachan, I.A.B. (1996) The Hamiltonian structure of the dispersionless Toda hierarchy. Physica D: Nonlinear Phenomena, 90(1-2), pp. 1-8. (doi: 10.1016/0167-2789(95)00229-4)
Strachan, I.A.B. (1996) On the integrability of a third-order Monge-Ampère type equation. Physics Letters A, 210(4-5), pp. 267-272. (doi: 10.1016/0375-9601(95)00944-2)
Strachan, I.A.B. (1995) The symmetry structure of the anti-self-dual Einstein hierarchy. Journal of Mathematical Physics, 36(7), 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(7), pp. 1967-1975. (doi: 10.1088/0305-4470/28/7/018)
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(1928), 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(3), pp. 790-795. (doi: 10.1007/BF01017069)
Strachan, I.A.B. (1993) Hierarchy of conservation laws for self-dual gravity. Classical and Quantum Gravity, 10(7), 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(1), pp. 243-259. (doi: 10.1063/1.530379)
Strachan, I.A.B. (1992) Wave solutions of a (2+1)-dimensional generalization of the nonlinear Schrödinger equation. Inverse Problems, 8(5), 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(7), 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(1-2), 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(1), pp. 102-110. (doi: 10.1063/1.529949)
Strachan, I.A.B. (1991) Self-dual Yang-Mills fields and the non-linear Schrödinger equation. Physics Letters A, 154(3-4), pp. 123-126. (doi: 10.1016/0375-9601(91)90748-W)
Book Sections
Strachan, I.A.B. (2002) Frobenius manifolds and the biHamiltonian structure on discriminant hypersurfaces. In: Guest, M.A., Miyaoka, R. and Ohnita, Y. (eds.) Integrable Systems, Topology, and Physics: A Conference on Integrable Systems in Differential Geometry, University of Tokyo, Japan, July 17-21, 2000. Series: Contemporary mathematics (309). American Mathematical Society: Providence, USA, pp. 251-265. ISBN 9780821829394
Conference or Workshop Item
Strachan, I. , Brendle, T. and Wilson, A. (2015) Online assessment and feedback: how to square the circle. 8th Annual University of Glasgow Learning and Teaching Conference, Glasgow, UK, 14 Apr 2015.
Supervision
- Proserpio, Alessandro
Schottky Groups and the construction of higher genus Frobenius manifolds
Teaching
Teaching for 2015/2016:
4H: Differential Geometry
Additional information
External Roles
Vice-President of the Edinburgh Mathematical Society
Member of the EPSRC Strategic Advisory Team for the Mathematical Sciences Programme
Editorships of Journals
Subject Editor (Integrable Systems and Mathematical Physics) for the London Mathematical Society
Editor-in-Chief of the Glasgow Mathematical Journal