I am a fourth-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!
Optimal Mixing of Glauber Dynamics: Entropy Factorization via High-Dimensional Expansion
with Zongchen Chen, Eric Vigoda
(STOC 2021 Invited to SICOMP Special Issue)
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)
My survey on The Method of Interlacing Polynomials
(UW CSE 2017 Best Senior Thesis Award)