Evgeny Sklyanin

Research

Overview

My main sphere of interests is the theory of integrable systems, both in classical and quantum mechanics. The mathematical techniques I use in my studies include algebraic methods (quantum groups), separation of variables, special functions.

Currently I am involved in study of multiparticle quantum integrable systems that can be solved in terms of multivariate hypergeometric functions, like Jack or Macdonald polynomials, investigating the parallels between the classical and quantum integrability.

Research group(s)

Mathematical Physics and Quantum Information Research Group

Available PhD research projects

I can offer PhD projects in the area of quantum integrable/exactly solvable systems, such as Calogero-Moser systems, Ruijsenaars model, spin chains with the stress on using algebraic techniques, such as quantum groups, Dunkl operators. The projects can be tailored to the student's interests.