News (last updated Oct 2026)
I am visiting Fudan University in Shanghai from Oct 10th to Oct 14th, and visiting Chinese Academy of Science in Beijing from Oct 21th to Oct 26th.
My school is hiring post-docs. Please contact me via jiyuan.zhang@scut.edu.cn if you are interested.
Research Interests
Structure of Invariant Random Matrices: I study random matrix models with invariance structure, for example, they are invariant under conjugation of the unitary group. Please see [ArXiv:2007.15259] for a structural property specifically given by unitary invariance.
Harmonic Analysis around Free Probability Theory: I am interested in the harmonic/analytic theory of free probability theory, including studies around the R and S transforms, free Levy-Khintchine formula, and connections with representation theory and symmetric functions. Please refer to [ArXiv:2508.21349] on this topic .
Exactly Solvable Determinantal Point Process: I am interested in exactly solvable determinantal point processes. Most of them possess a double integral formula which allows for an asymptotic analysis. Please see [ArXiv:2601.18427] for some contributions in this direction.