Research interests
I am an analyst specializing in modern mathematical physics, with research interests centered on integrable systems, random matrices theory, and related topics.
Central to my work is the application of asymptotic methods, special functions, PDE analysis, and complex analytic techniques. Riemann-Hilbert (RH) problem and the associated nonlinear steepest descent method are the main tools used by me to study physically meaningful quantities arising in integrable differential equations and random matrices theory -- particularly their asymptotics related to special functions and Painlevé transcendents.
Key words: Integrable PDEs, Random matrices theory, Determinantal point processes, Orthogonal polynomials, Asymptotic analysis, Riemann-Hilbert (RH) problems, Special functions, Painlevé equations ......
My research is/was generously supported by
Shanghai Post-doctoral Excellence Program (Grant No. 2024100), 07/2024--07/2026.
China Postdoctoral Science Foundation (Grant No. 2024M760480), 07/2024--07/2026.