Research

Research Interest

Probability theory, especially random matrix theory; quantum dynamics and mathematical physics.

Publication List — complete list on Google Scholar

Lean List — my papers formalized in Lean 4

My first research graph

Delocalization of one-dimensional random band matrices. With H.-T. Yau. arXiv:2501.01718. Lean ✓
Delocalization of non-mean-field random matrices in dimensions d ≥ 3. With S. Dubova, F. Yang and H.-T. Yau. arXiv:2507.20274. Lean ✓
A necessary and sufficient condition for edge universality of Wigner matrices. With J. O. Lee. Duke Math. J. (2014). arXiv:1206.2251.
The isotropic semicircle law and deformation of Wigner matrices. With A. Knowles. Comm. Pure Appl. Math. (2013). arXiv:1110.6449.
Rigidity of eigenvalues of generalized Wigner matrices. With L. Erdős and H.-T. Yau. Adv. Math. (2012). arXiv:1007.4652.
Fixed energy universality for generalized Wigner matrices. With P. Bourgade, L. Erdős and H.-T. Yau. Comm. Pure Appl. Math. (2016). arXiv:1407.5606.

The second order upper bound for the ground energy of a Bose gas. With H.-T. Yau. J. Stat. Phys. (2009). arXiv:0903.5347.

Delocalization of one-dimensional random band matrices. With H.-T. Yau. arXiv:2501.01718. Lean ✓
Delocalization of two-dimensional random band matrices. With S. Dubova, K. Yang and H.-T. Yau. arXiv:2503.07606. Lean ✓
Delocalization of non-mean-field random matrices in dimensions d ≥ 3. With S. Dubova, F. Yang and H.-T. Yau. arXiv:2507.20274. Lean ✓

Page updated

Google Sites

Report abuse