My research focuses on the interactions between representation theory, geometry, and combinatorics. Specifically, I study Macdonald polynomials and their relations to the study of Hilbert schemes and associated combinatorics. Central to my work is the utilization of the representation theory of double affine Hecke algebras and other related algebras. I am also interested in the interplay between the theory of symmetric functions and other fields like number theory and analysis.

Mentor: Daniel Orr