I am a postdoctoral fellow in the Center of Mathematical Sciences and Applications at Harvard University. My mentor is Prof. Horng-Tzer Yau. I received my Ph.D. in statistics at the University of Chicago in 2020, advised by Prof. Jian Ding, and a B.S. in mathematics at Tsinghua University in 2015.

I am interested in probability theory.

Papers

1. Poly-logarithmic localization for random walks among random obstacles (with Jian Ding).
   Annals of Probability 47, no. 4 (2019): 2011-2048. [arXiv]
2. Localization for random walks among random obstacles in a single Euclidean ball (with Jian Ding).
   Commun. Math. Phys. 375, (2020): 949–1001. [arXiv]
3. Geometry of the random walk range conditioned on survival among Bernoulli obstacles (with Jian Ding, Ryoki Fukushima, Rongfeng Sun).
   Probab. Theory Related Fields 177, no. 1 (2020): 91-145. [arXiv]
4. Biased random walk conditioned on survival among Bernoulli obstacles: subcritical phase (with Jian Ding, Ryoki Fukushima, Rongfeng Sun).
   Commun. Math. Phys. 376, no. 3 (2020): 2161-2195. [arXiv]
5. Sharp threshold for the Ising perceptron model.
   Annals of Probability, to appear. [arXiv]
6. Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles (with Jian Ding, Ryoki Fukushima, Rongfeng Sun).
   Annals of Probability, to appear. [arXiv]
7. Frozen 1-RSB structure of the symmetric Ising perceptron (with Will Perkins).
   STOC 2021, to appear. [arXiv]

Talks

1. Random Walks in Correlated and Dynamic Environments, Texas A&M University, August 2018.
2. Purdue Probability Seminar, February 2019.
3. UIC Combinatorics and Probability Seminar, September 2019.
4. Penn/Temple Probability Seminar, November 2019.
5. Joint Israeli Probability Seminar, November 2020.

Teaching