Lihan Wang

I am an Assistant Professor in the Department of Mathematics at the National University of Singapore. Between 2021-25 I was a postdoc in the Department of Mathematical Sciences at Carnegie Mellon University. In the academic year 2022-23 I took a leave from CMU to visit the Max Planck Institute for Mathematics in the Sciences. I received my PhD in mathematics at Duke University, under the supervision of Prof. Jianfeng Lu, and my BSc degree in mathematics at Tsinghua University, Beijing, China. 

I work on the intersection between applied analysis and probability. In particular, I am fascinated by long-time convergence and scaling of time-dependent dynamics. Among the dynamics I have worked on are (kinetic) Langevin dynamics, (Wasserstein-)Fisher-Rao gradient flows, and drift-diffusion process in random environment. These topics involve rich mathematical theory including functional inequalities, optimal transport, stochastic differential equations, etc. Possible applications of these dynamics include physics, statistical sampling and machine learning.

My research was under the generous support of the NSF grant DMS-2407166.