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.

Research

• 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]