I'm a fourth year PhD student in mathematics at the University of Illinois Chicago. I am fortunate to be advised by Vishesh Jain and Dhruv Mubayi. Before that, I got my B.A. in mathematics from Williams College. My research interests are generally in probability and combinatorics with applications in theoretical computer science. I am grateful to be supported by a Simons Dissertation Fellowship.
Total variation cutoff for Kac's walk on the sphere
with Vishesh Jain.
The online monotone array completion problem
with Vishesh Jain and Dylan King.
Thinned Quantile Shares are Universally Feasible
with Vishesh Jain and Shyam Ravichandran.
Equality in Fill's spectral gap problem
with Vishesh Jain.
Sampling Colorings Close to the Maximum Degree: Non-Markovian Coupling and Local Uniformity
with Vishesh Jain and Eric Vigoda.
On the chromatic number of random triangle-free graphs
with Will Perkins and Yuzhou Wang. Random Structures & Algorithms 68:4 (2026).
How Fast does the Inverse Walk Approximate a Random Permutation?
with Vishesh Jain, Tianren Liu, Angelos Pelecanos, Stefano Tessaro, and Vinod Vaikuntanathan. CRYPTO 2026.
The random graph process is globally synchronizing
with Vishesh Jain and Mehtaab Sawhney. Bulletin of the London Mathematical Society 58:1, e70226 (2026).
Inducibility of rainbow graphs
with Emily Cairncross and Dhruv Mubayi. Mathematical Proceedings of the Cambridge Philosophical Society 180:1, 191--218 (2026).
Rapid mixing of the down-up walk on matchings
with Vishesh Jain. APPROX/RANDOM 2024.
Indeterminate cases of the Hamburger moment problem
Undergraduate senior thesis (2022).
Critical points of the random cluster model with Newman-Ziff sampling
with Tolson Bell, Jerrell Cockerham, Melita Wiles, Christian Scullard. Journal of Physics A: Mathematical and Theoretical 55:4, 044001 (2022).
Generalizing Zeckendorf's theorem to homogeneous linear recurrences II
with Thomas Martinez, Steven J. Miller, Jack Murphy, Chenyang Sun. Fibonacci Quarterly 60:5, 231--254 (2022).
Generalizing Zeckendorf's theorem to homogeneous linear recurrences I
with Thomas Martinez, Steven J. Miller, Chenyang Sun. Fibonacci Quarterly 60:5, 222--230 (2022).