Shengquan Xiang

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

My research focuses on controlled partial differential equations, with connections to random dynamical systems. A central theme of my work is the role of control as an organizing principle for revealing structure in problems arising in 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.