Specializing in Control Theory and Inverse Problems for Stochastic Partial Differential Equations (SPDEs). My work bridges pure mathematical theory with complex system analysis.

In the realm of Control Theory, I focus on establishing null and exact controllability for various stochastic evolutionary systems using global Carleman estimates and duality arguments. Furthermore, to bridge the gap between continuous theory and numerical implementation, I investigate the uniform controllability of semi-discrete approximations, rigorously analyzing how discretization parameters influence control behavior.

Regarding Inverse Problems, I work on determining and reconstructing unknown components in the system (source terms, coefficients, or initial/boundary values) using partial observation data. Addressing the ill-posed nature of these problems, I employ Carleman estimates to derive conditional stability results and develop globally convergent iterative regularization methods.

My overarching vision is to focus on control and inverse problems for stochastic partial differential equations, regarding both theory and numerics.