Research Interests

My research interest lies in integrability, randomness, and asymptotics arising from modern mathematical physics.

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 are now (before) supported by