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.
   Submitted. [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]

Talks

1. Random walk among Bernoulli obstacles.
   Random Walks in Correlated and Dynamic Environments, Texas A&M University, August 2018.
2. Random walk among Bernoulli obstacles.
   Purdue Probability Seminar, February 2019.
3. Sharp threshold for the Ising perceptron model.
   UIC Combinatorics and Probability Seminar, September 2019.
4. Sharp threshold for the Ising perceptron model.
   Penn/Temple Probability Seminar, November 2019.
5. Random walk among Bernoulli obstacles.
   Joint Israeli Probability Seminar, November 2020.

Teaching