About Me

I’m a third-year Ph.D. student in the Theory Group at the Paul G. Allen School for Computer Science and Engineering (UW CSE). I am very fortunate to be advised by Shayan Oveis Gharan. My research interests are in high-dimensional geometry and analysis of Markov chains. I develop and use mathematical tools from fields such as high-dimensional expanders, geometry of polynomials, and statistical physics.

If you happen to have read one of my papers or seen one of my talks, questions or constructive/critical feedback are super welcome!

Papers

A Matrix Trickle-Down Theorem on Simplicial Complexes and Applications to Sampling Colorings
with Dorna Abdolazimi, Shayan Oveis Gharan
(FOCS 2021)

Spectral Independence via Stability and Applications to Holant-Type Problems
with Zongchen Chen, Eric Vigoda
(FOCS 2021)

From Coupling to Spectral Independence and Blackbox Comparison with the Down-Up Walk
(RANDOM 2021)

Optimal Mixing of Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion
with Zongchen Chen, Eric Vigoda
(STOC 2021 Invited to SICOMP Special Issue)

Log-Concave Polynomials IV: Approximate Exchange, Tight Mixing Times, and Near-Optimal Sampling of Forests
with Nima Anari, Shayan Oveis Gharan, Cynthia Vinzant, Thuy-Duong Vuong
(STOC 2021)

Rapid Mixing of Glauber Dynamics up to Uniqueness via Contraction
with Zongchen Chen, Eric Vigoda
(FOCS 2020)

Spectral Independence in High-Dimensional Expanders and Applications to the Hardcore Model
with Nima Anari, Shayan Oveis Gharan
(FOCS 2020 Invited to SICOMP Special Issue)

Log-Concave Polynomials II: High-Dimensional Walks and an FPRAS for Counting Bases of a Matroid
with Nima Anari, Shayan Oveis Gharan, Cynthia Vinzant
(STOC 2019 Best Paper Award)

Log-Concave Polynomials III: Mason’s Ultra-Log-Concavity Conjecture for Independent Sets of Matroids
with Nima Anari, Shayan Oveis Gharan, Cynthia Vinzant
(preprint 2018)

My survey on The Method of Interlacing Polynomials
(UW CSE 2017 Best Senior Thesis Award)