activity
19992022
most citedYang-Baxter maps and integrable dynamics

128 citations · 801 across the 52 of their papers we have counts for

collaborators

50 papers

math-ph2022

Quantum Bianchi-VII problem, Mathieu functions and arithmetic

A. P. Veselov, Y. Ye

The geodesic problem on the compact threefolds with the Riemannian metric of Bianchi-VII type is studied in both classical and quantum cases. We show that the problem is integr…

math.AT2022

Theta divisors and permutohedra

V. M. Buchstaber, A. P. Veselov

We establish an intriguing relation of the smooth theta divisor with permutohedron and the corresponding toric variety In particular, we show that the generali…

math-ph2020★ 3 cited

Quasi-invariant Hermite polynomials and Lassalle-Nekrasov correspondence

M. V. Feigin, M. A. Hallnäs, A. P. Veselov

Lassalle and Nekrasov discovered in the 1990s a surprising correspondence between the rational Calogero-Moser system with a harmonic term and its trigonometric version. We present…

math.AT2020★ 3 cited

Chern-Dold character in complex cobordisms and theta divisors

V. M. Buchstaber, A. P. Veselov

We show that the smooth theta divisors of general principally polarised abelian varieties can be chosen as irreducible algebraic representatives of the coefficients of the Chern-Do…

math-ph2020★ 1 cited

Integrable generalisations of Dirac magnetic monopole

A. P. Veselov, Y. Ye

We classify certain integrable (both classical and quantum) generalisations of Dirac magnetic monopole on topological sphere with constant magnetic field, completing the prev…

math.RT2020★ 6 cited

Automorphic Lie algebras and modular forms

V. Knibbeler, S. Lombardo, A. P. Veselov

We introduce and study certain hyperbolic versions of automorphic Lie algebras related to the modular group. Let be a finite index subgroup of with…