Research interests:
Representation Theory; Connections to Algebraic Combinatorics and Algebraic Geometry.
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:
- International Mathematics Research Notices (IMRN)
- Letters in Math. Physics (LMP)
- Science China Mathematics
- Bulletin of the Institute of Mathematics Academia Sinica
Here is my talk at ICM 2022 (youtube video): https://youtu.be/8aS95J4DctI