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.
Education & Training
- PhD, Princeton University
Lie Theory, Representation Theory, Combinatorics, Non-commutative Algebra