Research interests:

Representation Theory; Connections to Algebraic Combinatorics and Algebraic Geometry

My papers in arXiv

QSP Book Chapters

I have research interests in the following subjects:

  • Quantum groups, i-quantum groups, and canonical bases
  • Hecke algebras: finite, affine, and spin
  • (Spin) symmetric groups and algebraic q-combinatorics
  • Infinite-dimensional Lie algebras and vertex algebras
  • Lie superalgebras and (super)  Kazhdan-Lusztig theory
  • Geometric and Modular representation theory
  • Categorification
  • (More keywords: Schur duality, Howe duality, McKay correspondence, Hilbert schemes of points)

I am on the Editorial Board of the following journals:

Here is my talk at ICM 2022 (youtube video):  https://youtu.be/8aS95J4DctI