Instructor of Mathematics
MIT Department of Mathematics
I am a probabilist working primarily on random matrices and random operators, with secondary focus on stochastic analysis and sampling algorithms.
I will be on the academic job market in fall 2026.
Chinese name: 韩毅
Publications · Academic Positions · Education
Massachusetts Institute of Technology
Instructor of Mathematics · August 2026–May 2027 · Cambridge, Massachusetts
Institute for Advanced Study
Postdoctoral Member · September 2025–July 2026 · Princeton, New Jersey
Hosted by Akshay Venkatesh
Massachusetts Institute of Technology
Simons Postdoctoral Associate · September 2024–August 2025 · Cambridge, Massachusetts
Simons Collaboration on Localization of Waves
Hosted by David Jerison and Alexei Borodin
University of Cambridge
Ph.D. in Mathematics · 2024 · Supervised by James Norris
Université PSL
Master’s Degree in Mathematics · 2021
Master’s thesis supervised by Paul Gassiat
Tsinghua University
B.Sc. in Mathematics · 2020
Publications are grouped by the year in which they first appeared.
The circular law for non-Hermitian random band matrices: optimal bandwidth, periodic profile and discrete law
arXiv · Lean verification
Lean verification of main mathematical statements
Stochastic heat equation with nondegenerate Hölder diffusion coefficient: uniqueness below the three-fourth threshold
arXiv
Brown measure convergence for the spectrum of polynomials in Ginibre matrices
arXiv · Lean verification
Lean verification of main least singular value result (Theorem 1.5)
Glauber dynamics for random field Ising models on bounded degree graphs and MLSI
Extended abstract accepted at RANDOM 2026.
arXiv · RANDOM 2026 proceedings
Circular law for non-Hermitian block band matrices with slowly growing bandwidth
arXiv
The circular law for non-Hermitian random band matrices up to bandwidth N^(2/3+c)
arXiv
This paper V3 corrects an issue in the previous version and changes the exponent from 1/2 to 2/3. For very regular profile functions, the circular law threshold is superseded by the author's arXiv:2609.01295.
Invertibility for non-Hermitian and symmetric random band matrices with sublinear bandwidth and discrete entries
arXiv
On the rank of a random symmetric matrix in the large deviation regime
Journal of the London Mathematical Society, 113
Journal article
Repeated singular values of a random symmetric matrix and decoupled singular value estimates
arXiv
Simplicity of singular value spectrum of random matrices and two-point quantitative invertibility
arXiv
Spectral radius concentration for inhomogeneous random matrices with independent entries
arXiv
The smallest singular value for rectangular random matrices with Lévy entries
arXiv
The circular law for random band matrices with arbitrary doubly stochastic variance profiles
arXiv
Outliers and bounded rank perturbation for non-Hermitian random band matrices
Electronic Journal of Probability, 31 (2026), 1–36
Journal article
Finite rank perturbation of non-Hermitian random matrices: heavy tail and sparse regimes
Journal of Statistical Physics, 192 (2025)
Journal article
Deformed Fréchet law for Wigner and sample covariance matrices with tail in crossover regime
Probability Theory and Related Fields, 193 (2025)
Journal article
Deviation of top eigenvalue for some tridiagonal matrices under various moment assumptions
Annales Henri Poincaré, 26 (2025)
Journal article
More scaling limits for 1D random Schrödinger operators with critically decaying and vanishing potentials
Letters in Mathematical Physics, 116 (2026)
Journal article
Stochastic wave equation with Hölder noise coefficient: well-posedness and small mass limit
Journal of Functional Analysis, 286(3)
Journal article
A support theorem for parabolic stochastic PDEs with nondegenerate Hölder diffusion coefficients
Stochastics and Partial Differential Equations: Analysis and Computations, 12
Journal article
Exponential ergodicity of stochastic heat equations with Hölder coefficients
SIAM Journal on Mathematical Analysis, 57(4)
Journal article
Entropic propagation of chaos for mean field diffusion with L^p interactions via hierarchy, linear growth and fractional noise
Preprint
arXiv
Solving McKean–Vlasov SDEs via relative entropy
Annals of Applied Probability, 35(2)
Journal article