My main research area is Lie theory/Representation theory. Most recently, I have been interested in Macdonald theory, which provides a uniform framework for the study of several questions regarding the spherical harmonic analysis of real/p-adic reductive groups. My work in this area makes use of various connections with affine Kac-Moody groups, Hecke algebras, the geometry of the affine Grassmannians and the affine flag manifolds, combinatorics of Coxeter groups and root systems, symmetric functions, hyper geometric functions.
Fall Term 2019
Monday, Wednesday- 2:00 PM - 3:00 PM
Education & Training
- PhD, Princeton University
Lie Theory, Representation Theory, Combinatorics, Non-commutative Algebra