School of Mathematics & Statistics

Giglio, F., Landolfi, G., Martina, L., Moro, A. (2021) Symmetries and criticality of generalised van der Waals models Journal of Physics A: Mathematical and Theoretical, 54, (doi: 10.1088/1751-8121/ac2009)

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)

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)

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)

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)

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)

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)

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

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)

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)

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

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)

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)

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.

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)

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)

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)