HSE – Skoltech International Laboratory of Representation Theory and Mathematical Physics

The Laboratory was founded in 2014. The main objective of the laboratory is to develop a common approach to a variety of issues at the interface between the theory of integrable systems and representation theory of quantum and infinite-dimensional groups and algebras.

The laboratory develops several inter-related research directions with close cooperation between mathematicians and mathematical physicists.

The research areas include:

  • representation theory of vertex algebras and of their quantum analogs (in particular, double affine quantum groups and q-W-algebras);
  • developing methods of vertex algebras in low-dimensional topology and in quantum field theory;
  • quantum cohomology of moduli spaces of sheaves and related geometric representation theory and integrable systems (in particular, Toda and Calogero systems and their generalizations);
  • geometric Langlands correspondence;
  • cluster structures on moduli spaces, their geometry and combinatorics;
  • combinatorics of Kashiwara crystals in quantum integrable systems.

Scientific Council
Evgeny Feigin
Boris Feigin
Igor Krichever
Sergei Lando
Andrei Marshakov
Andrei Okounkov

Bershtein Mikhail – Research Scientist
Buryak Alexandr
Dunin-Barkowski Petr – Senior Research Scientist
Feigin Boris – Senior Research Scientist
Gavrylenko Pavlo – Research Scientist
Ilyin Alexey – Junior Research Scientist
Ivanov Vyacheslav – Research Assistant
Khoroshkin Anton – Senior Research Scientist
Liashyk Andrey – Research Scientist
Litvinov Alexei
Matushko Maria – Junior Research Scientist
Pogrebkov Andrei – Leading Research Scientist
Rybnikov Leonid – Senior Research Scientist
Safonkin Nikita – Research Assistant
Shchechkin Anton – Junior Research Scientist
Stoyan Artem – Research Assistant
Takebe Takashi – Senior Research Scientist
Zotov Andrey – Research Scientist