Areas of Research in 2020
- Representations of W-algebras: continue developing Representation theory of q-W-algebras and their generalizations, with applications to Geometry of moduli spaces of sheaves on algebraic surfaces.
- 4-dimensional manifolds: study functorial way to associate a vertex algebra to a 4-dimensional manifold.
- Bethe ansatz and Combinatorics: describe the monodromy of solutions of Bethe ansatz equations in magnet chains and study possible combinatorial applications of these results.
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