Shengquan Xiang

I am an Assistant Professor and Boya Young Fellow in the School of Mathematical Sciences at Peking University.

My research explores controlled partial differential equations and random dynamical systems. A central theme of my work is the role of control as an organizing principle for uncovering structural mechanisms across geometry, propagation, and randomness.

My work includes controlled geometric flows of maps, structural aspects of controllability and observability for wave and dispersive equations, mixing and ergodic properties of randomly forced PDEs, and quantitative stabilization.