Publications

Articles

1. Modified double brackets and a conjecture of S. Arthamonov.
   Communications in Mathematics 33 (2025) (Special issue: European Non-Associative Algebra Seminar). URL ; arXiv:2405.17930


2. Double Multiplicative Poisson Vertex Algebras [with D. Valeri].
   Int. Math. Res. Not. IMRN 2023, 14991–15072 (2023). URL ; arXiv:2110.03418


3. Integrable multi-Hamiltonian systems from reduction of an extended quasi-Poisson double of U(n) [with L. Fehér].
   Ann. Henri Poincaré 24, 3461--3529 (2023). URL ; arXiv:2302.14392


4. Around Van den Bergh's double brackets for different bimodule structures [with C. McCulloch].
   Communications in Algebra 51, 1673--1706 (2023). URL ; arXiv:2204.03298


5. Euler continuants in noncommutative quasi-Poisson geometry [with D. Fernández].
   Forum of Mathematics Sigma 10, Paper No. e88, 54 pp (2022). URL ; arXiv:2105.04858


6. Morphisms of double (quasi-)Poisson algebras and action-angle duality of integrable systems.
   Annales Henri Lebesgue 5, 179--262 (2022). URL ; arXiv:2008.01409


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


8. 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 ; arXiv:2112.00381


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


10. 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


11. 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


12. 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


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


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

Preprints

1. On the noncommutative Poisson geometry of certain wild character varieties [with D. Fernández]. arXiv:2103.10117
2. Integrable systems on multiplicative quiver varieties from cyclic quivers. arXiv:2108.02496
3. Functorial constructions related to double Poisson vertex algebras [with T. Bozec, A. Moreau]. arXiv:2307.06071
4. Compatible Poisson structures on multiplicative quiver varieties. arXiv:2310.18751

Thesis

• Multiplicative quiver varieties and integrable particle systems, University of Leeds (2019). Available here. (Supervisor : O. Chalykh)

---

Presentations

• Poster (2017) Multiplicative quiver varieties and  generalised Ruijsenaars-Schneider models (Poster)
• Poster (2018) Momentum maps and integrability in noncommutative (quasi-)Poisson geometry (Poster)
• Poster (2021) Spin Ruijsenaars-Schneider systems from cyclic quivers (Poster) + short video


• Beamer (2018) From double brackets to integrable systems (File)
• Beamer (2020) Noncommutative Poisson geometry and integrable systems (File) + video of the first half
• Beamer (2020) Double (quasi-)Poisson algebras and their morphisms (File)
• Beamer (2021) Des carquois et des systèmes intégrables, in French (File)
• Beamer (2021) Integrable systems on (multiplicative) quiver varieties (File) + video + second video
• Beamer (2022) Double multiplicative Poisson vertex algebras (File)
• Beamer (2023) Around Van den Bergh's double brackets (File)
• Beamer (2023) Geometric reduction of spin trigonometric RS systems (File)
• Beamer (2024) Compatible Poisson structures on MQV (File)
• Beamer (2024) Modified double brackets and a conjecture of Arthamonov (File)