Dr Maxime Fairon

  • Honorary Research Fellow (School of Mathematics & Statistics)

Research interests

I am interested in the relations that exist between algebraic and geometric structures in the context of integrable systems. In particular, I study the non-commutative versions of Poisson geometry defined on associative algebras in order to find new classes of integrable systems on the representation spaces associated to these algebras.

Publications

List by: Type | Date

Jump to: 2023 | 2022 | 2021 | 2020 | 2019 | 2017
Number of items: 12.

2023

Fairon, M. and Valeri, D. (2023) Double multiplicative Poisson vertex algebras. International Mathematics Research Notices, 2023(17), pp. 14991-15072. (doi: 10.1093/imrn/rnac245)

Fairon, M. and McCulloch, C. (2023) Around Van den Bergh’s double brackets for different bimodule structures. Communications in Algebra, 51(4), pp. 1673-1706. (doi: 10.1080/00927872.2022.2140349)

2022

Fairon, M. (2022) Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems. Annales Henri Lebesgue, 5, pp. 179-262. (doi: 10.5802/ahl.121)

Fairon, M. and Fernández, D. (2022) Euler continuants in noncommutative quasi-Poisson geometry. Forum of Mathematics, Sigma, 10, e88. (doi: 10.1017/fms.2022.76)

2021

Fairon, M. (2021) Double quasi-Poisson brackets: fusion and new examples. Algebras and Representation Theory, 24(4), pp. 911-958. (doi: 10.1007/s10468-020-09974-w)

Fairon, M. and Fehér, L. (2021) A decoupling property of some Poisson structures on Matn×d(C)×Matd×n(C) supporting GL(n,C)×GL(d,C) Poisson–Lie symmetry. Journal of Mathematical Physics, 62(3), 033512. (doi: 10.1063/5.0035935)

Fairon, M. , Fehér, L. and Marshall, I. (2021) Trigonometric real form of the spin RS model of Krichever and Zabrodin. Annales Henri Poincaré, 22(2), pp. 615-675. (doi: 10.1007/s00023-020-00976-4)

Fairon, M. and Görbe, T. (2021) Superintegrability of Calogero-Moser systems associated with the cyclic quiver. Nonlinearity, 34(11), pp. 7662-7682. (doi: 10.1088/1361-6544/ac2674)

2020

Chalykh, O. and Fairon, M. (2020) On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system. Letters in Mathematical Physics, 110(11), pp. 2893-2940. (doi: 10.1007/s11005-020-01320-x)

2019

Fairon, M. (2019) Spin versions of the complex trigonometric Ruijsenaars-Schneider model from cyclic quivers. Journal of Integrable Systems, 4(1), xyz008. (doi: 10.1093/integr/xyz008)

2017

Chalykh, O. and Fairon, M. (2017) Multiplicative quiver varieties and generalised Ruijsenaars–Schneider models. Journal of Geometry and Physics, 121, pp. 413-437. (doi: 10.1016/j.geomphys.2017.08.006)

Fairon, M. (2017) Introduction to graded geometry. European Journal of Mathematics, 3(2), pp. 208-222. (doi: 10.1007/s40879-017-0138-4)

This list was generated on Thu Dec 7 06:29:13 2023 GMT.
Jump to: Articles
Number of items: 12.

Articles

Fairon, M. and Valeri, D. (2023) Double multiplicative Poisson vertex algebras. International Mathematics Research Notices, 2023(17), pp. 14991-15072. (doi: 10.1093/imrn/rnac245)

Fairon, M. and McCulloch, C. (2023) Around Van den Bergh’s double brackets for different bimodule structures. Communications in Algebra, 51(4), pp. 1673-1706. (doi: 10.1080/00927872.2022.2140349)

Fairon, M. (2022) Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems. Annales Henri Lebesgue, 5, pp. 179-262. (doi: 10.5802/ahl.121)

Fairon, M. and Fernández, D. (2022) Euler continuants in noncommutative quasi-Poisson geometry. Forum of Mathematics, Sigma, 10, e88. (doi: 10.1017/fms.2022.76)

Fairon, M. (2021) Double quasi-Poisson brackets: fusion and new examples. Algebras and Representation Theory, 24(4), pp. 911-958. (doi: 10.1007/s10468-020-09974-w)

Fairon, M. and Fehér, L. (2021) A decoupling property of some Poisson structures on Matn×d(C)×Matd×n(C) supporting GL(n,C)×GL(d,C) Poisson–Lie symmetry. Journal of Mathematical Physics, 62(3), 033512. (doi: 10.1063/5.0035935)

Fairon, M. , Fehér, L. and Marshall, I. (2021) Trigonometric real form of the spin RS model of Krichever and Zabrodin. Annales Henri Poincaré, 22(2), pp. 615-675. (doi: 10.1007/s00023-020-00976-4)

Fairon, M. and Görbe, T. (2021) Superintegrability of Calogero-Moser systems associated with the cyclic quiver. Nonlinearity, 34(11), pp. 7662-7682. (doi: 10.1088/1361-6544/ac2674)

Chalykh, O. and Fairon, M. (2020) On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system. Letters in Mathematical Physics, 110(11), pp. 2893-2940. (doi: 10.1007/s11005-020-01320-x)

Fairon, M. (2019) Spin versions of the complex trigonometric Ruijsenaars-Schneider model from cyclic quivers. Journal of Integrable Systems, 4(1), xyz008. (doi: 10.1093/integr/xyz008)

Chalykh, O. and Fairon, M. (2017) Multiplicative quiver varieties and generalised Ruijsenaars–Schneider models. Journal of Geometry and Physics, 121, pp. 413-437. (doi: 10.1016/j.geomphys.2017.08.006)

Fairon, M. (2017) Introduction to graded geometry. European Journal of Mathematics, 3(2), pp. 208-222. (doi: 10.1007/s40879-017-0138-4)

This list was generated on Thu Dec 7 06:29:13 2023 GMT.

Teaching

4H : Differential Geometry