Research


Affine Springer fibers, Cherednik algebra modules and Hilbert schemes: torus link case, joint with Pablo Boixeda Alvarez and Thomas Hameister, in preparation, pdf
On the elliptic Hall category with Roman Bezrukavnikov and Ivan Losev, arxiv:2610.33992, pdf
From Cherednik algebras to knot homology via cuspidal D-modules, arxiv:2407.00971, pdf
Rational Cherednik algebras and torus knot invariants, Int. Math. Res. Not. 10 (2026), pdf
θ-triangle and ω-parallelogram pairs with common area and common perimeter with Matilde Lalín, Journal of Number Theory 202 (2019): 1-26. pdf

Teaching

At MIT:

System functions and the Laplace transform, 2027 IAP
Introduction to metric spaces, 2027 IAP
Undergraduate seminar on algebra, 2026 Fall
PRIMES mentor, 2026

At UChicago:

Instructor of Record:
Math 151-152, Calculus I-II, 2024-2025
Math 152, Calculus II, 2023-2024
Math 151-152, Calculus I-II, 2022-23
Math 131, 132, 153, Calculus I-III , 2021-22

Teaching Assistant:
Linear algebra, Intro to Differentiable Manifolds and Integration on Manifolds, Intro to Riemannian Geometry, 2020-21

Mentoring:
UChicago REU mentor: 2020, 2021
UChicago DRP mentor: 2021-2024