The Fourier transform on quantum Euclidean space.
The geometry of Calogero-Moser systems
We give a geometric construction of the phase space of the elliptic Calogero-Moser system for arbitrary root systems, as a space of Weyl invariant pairs (bundles, Higgs fields) on the -th power of the elliptic curve, where is the rank of the root system. The Poisson structure and the Hamiltonians of the integrable system are given natural constructions. We also exhibit a curious duality between the spectral varieties for the system associated to a root system, and the Lagrangian varieties for...
The Heun equation and the Calogero-Moser-Sutherland system. II: Perturbation and algebraic solution.
The theory of systems with internal degrees of freedom
Tools for verifying classical and quantum superintegrability.
Towards finite-gap integration of the Inozemtsev model.
Two point correlation functions for a periodic box-ball system.
Two-variable Wilson polynomials and the generic superintegrable system on the 3-sphere.