Research

I am working on representation theory of algebras arising from simple Lie algebras or their root systems (for example, quantum groups, Hecke algebras and their relatives) with particular interests in the structure of their categories of modules and related geometric objects. My research so far has been focused on the representation theory of affine quantum groups and various related topics, including quiver varieties, R-matrices, quantum Grothendieck rings, and categorifications of cluster algebras.