cxu@cmsa.fas.harvard.edu

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.

- Poly-logarithmic localization for random walks among random obstacles (with Jian Ding).

*Annals of Probability*47, no. 4 (2019): 2011-2048. [arXiv] - Localization for random walks among random obstacles in a single Euclidean ball (with Jian Ding).

*Commun. Math. Phys.*375, (2020): 949–1001. [arXiv] - 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] - 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] - Distribution of the random walk conditioned on survival among quenched Bernoulli obstacles (with Jian Ding, Ryoki Fukushima, Rongfeng Sun).

*Annals of Probability,*49, no. 1 (2021): 206-243. [arXiv] - Sharp threshold for the Ising perceptron model.

*Annals of Probability,*49, no. 5 (2021): 2399-2415. [arXiv] - Frozen 1-RSB structure of the symmetric Ising perceptron (with Will Perkins).

*STOC 2021.*[arXiv] - Gardner formula for Ising perceptron models at small densities (with Erwin Bolthausen, Shuta Nakajima, and Nike Sun).

*COLT 2022.*[arXiv] - Algorithms and barriers in the symmetric binary perceptron model (with David Gamarnik, Eren Kizildag, and Will Perkins).

*FOCS 2022.*[arXiv] - Geometric Barriers for Stable and Online Algorithms for Discrepancy Minimization
(with David Gamarnik, Eren Kizildag, and Will Perkins).

*COLT 2023.*[arXiv] - Bulk universality and quantum unique ergodicity for random band matrices in high dimensions
(with Fan Yang, Horng-Tzer Yau, and Jun Yin).

Preprent, 2022. [arXiv] - Eigenstate Thermalization Hypothesis for Generalized Wigner Matrices
(with Arka Adhikari, Sofiia Dubova, and Jun Yin).

Preprent, 2023. [arXiv]

- Spectral gap for mixed p-spin models at high temperature
(with Arka Adhikari, Christian Brennecke, and Horng-Tzer Yau).

Preprent, 2022. [arXiv] - The two point function of the SK model without external field at high temperature
(with Christian Brennecke, Adrien Schertzer, and Horng-Tzer Yau.)

Preprent, 2022. [arXiv] - Operator Norm Bounds on the Correlation Matrix of the SK Model at High Temperature
(with Christian Brennecke, and Horng-Tzer Yau.)

Preprent, 2023. [arXiv]

- Random Walks in Correlated and Dynamic Environments Conference , Texas A&M University, August 2018.
- Purdue Probability Seminar, February 2019.
- UIC Combinatorics and Probability Seminar, September 2019.
- Penn/Temple Probability Seminar, November 2019.
- Joint Israeli Probability Seminar, November 2020.
- UCLA Probability Seminar, May 2021.
- Stanford Probability Seminar, May 2021.
- THU-PKU-BNU probability webinar, June 2021.
- International Conference for Chinese Young Probability Scholars, October 2021.
- MIT Probability Seminar, December 2022.
- LU-UMN Joint Probability Seminar, December 2022.

STAT 234 Statistical Models and Methods I | Winter 2016 | ||

STAT 245 Intro To Math Probability | Spring 2016, Spring 2017 | ||

STAT 304 Distribution Theory | Autumn 2016, Autumn 2017 | ||

STAT 381 Measure-Theoretic Probability I | Winter 2019 | ||

STAT 383 Measure-Theoretic Probability III | Spring 2018 | ||

STAT 385 Brownian Motion and Stochastic Calculus | Autumn 2018 |