I am an instructor and NSF postdoctoral fellow in the department of mathematics at MIT. I spent Spring 2014 at UC Davis as a UC President's Postdoctoral Fellow.

I received my Ph.D. in mathematics in 2012 from Caltech, under the supervision of Eric Rains. My thesis received the Scott Russell Johnson dissertation award. I completed my undergraduate degree at Stanford in 2007. I received a Firestone medal for my undergraduate honors thesis, which was supervised by Persi Diaconis and Nat Thiem.

My research interests lie in the intersection of combinatorics and representation theory.

1. Signature characters for highest weight representations of $U_{q}(\mathfrak{gl}_{n})$, submitted.
   arXiv
2. Signatures of representations of Hecke algebras and rational Cherednik algebras, submitted.
   arXiv
3. On the expansion of certain vector-valued characters of $U_q(\mathfrak{gl}_n)$ with respect to the Gelfand-Tsetlin basis, to appear in Mathematical Research Letters.
   arXiv
4. A $p$-adic interpretation of some integral identities for Hall-Littlewood polynomials, to appear in Journal of Combinatorial Theory, Series A.
   arXiv
5. Symmetric and nonsymmetric Koornwinder polynomials in the $q \to 0$ limit, Journal of Algebraic Combinatorics 42 (2015), no. 2, 331-364.
   arXiv | Journal
6. Vanishing integrals for Hall-Littlewood polynomials, Transform. Groups 17 (2012), no. 1, 259-302.
   arXiv | Journal
7. Vanishing integrals for Hall-Littlewood polynomials. Calfornia Institute of Technology Ph.D. Thesis, 2012.
   ProQuest
8. Supercharacters, symmetric functions in noncommuting variables, and related Hopf algebras (with M. Aguilar, et. al), Adv. Math. 229 (2012), no. 4, 2310-2337.
   arXiv | Journal
9. Restricting supercharacters of the finite group of unipotent uppertriangular matrices (with N. Thiem), Electron. J. Combin. 16 (2009), no. 1, Research paper 23, 32 pages.
   arXiv | Journal
10. A supercharacter theory for a family of finite unipotent groups. Stanford University Honors Thesis, 2007.
11. A new class of multiset Wilf equivalent pairs, Discrete Math. 307 (2007), no. 21, 2508-2513.
    Journal

• Spring 2015: Undergraduate Seminar in Discrete Mathematics 18.304 (MIT).
• Spring 2014: Differential Calculus Math 21A (UC Davis).
• Fall 2013: Combinatorial Analysis 18.314 (MIT).