Dr Maxime Fairon

Rankin-Sneddon Research Fellow


Room : 422

Address : School of Mathematics and Statistics, University of Glasgow, University Place, Glasgow, G12 8QQ

Email : Maxime . Fairon /AT/ glasgow . ac . uk

(Here is a short CV in English and my Academia profile)




Research Interests


Papers and preprints

  1. Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems.
    Accepted in: Annales Henri Lebesgue (2022). arXiv:2008.01409

  2. Superintegrability of Calogero-Moser systems associated with the cyclic quiver [with T.F. Görbe].
    Nonlinearity 34, 7662--7682 (2021). URL ; arXiv:2101.05520

  3. A decoupling property of some Poisson structures on $Mat_{n\times d}(\mathbb{C}) \times Mat_{d\times n}(\mathbb{C})$ supporting $GL(n,\mathbb{C}) \times GL(d,\mathbb{C})$ Poisson--Lie symmetry [with L. Fehér].
    Journal of Mathematical Physics 62, 033512 (2021). URL

  4. Double quasi-Poisson brackets : fusion and new examples.
    Algebras and Representation Theory 24, 911--958 (2021). URL ; arXiv:1905.11273

  5. Trigonometric real form of the spin RS model of Krichever and Zabrodin [with L. Fehér, I. Marshall].
    Annales Henri Poincaré 22, 615--675 (2021). URL ; arXiv:2007.08388

  6. On the Hamiltonian formulation of the trigonometric spin Ruijsenaars-Schneider system [with O. Chalykh].
    Letters in Mathematical Physics 110, 2893--2940 (2020). URL ; arXiv:1811.08727

  7. Spin versions of the complex trigonometric Ruijsenaars-Schneider model from cyclic quivers.
    Journal of Integrable Systems, Volume 4, Issue 1, xyz008 (2019). URL ; arXiv:1811.08717

  8. Multiplicative quiver varieties and generalised Ruijsenaars-Schneider models [with O. Chalykh].
    Journal of Geometry and Physics 121, 413-437 (2017). URL ; arXiv:1704.05814

  9. Introduction to graded geometry.
    European Journal of Mathematics 3 (2), 208-222 (2017). URL ; arXiv:1512.02810

Thesis

Other materials




Teaching



Other : ISMP Lunch Seminar (Autumn 2021, Winter/Spring 2020, Autumn 2019)