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.