Research Interest
1. Random matrix theory
2. Mathematical Physics
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My first research graph
Selected papers
Probability Theory:
Delocalization of One-Dimensional Random Band Matrices (with H. T. Yau)
Delocalization and quantum diffusion of random band matrices in high dimensions I, II. (with H. T. Yau, F. Yang)
A Necessary and Sufficient Condition for Edge Universality of Wigner Matrices, Duke, (with J. O. Lee).
The Isotropic Semicircle Law and Deformation of Wigner Matrices, CPAM, (with A. Knowles).
Random band matrices in the delocalization phases I--III, CPAM (with P. Bourgade, H. T. Yau, F. Yang)
Rigidity of Eigenvalues of Generalized Wigner Matrices, Adv. Math. (with L. Erdos, H. T. Yau)
Fixed energy Universality for generalized Wigner matrices, CPAM,(with P. Bourgade, L. Erdos, H. T. Yau)
Mathematical Physics:
The second-order upper bound for the ground energy of a Bose gas (with H. T. Yau)