About me

B.S. from Tsinghua, Ph.D. from PennState, and postdocs at UMD and Fields. My Ph.D. advisor was Yakov Pesin. I am proud of my hometown.

Research

My main research interest is dynamical systems, which is a vibrant and diverse field that evolves around certain central ideas. Currently, I am interested in the following list of topics, all connected to the central idea of variational methods in Hamiltonian systems:

• Arnold diffusion (instability in Hamiltonian systems);
• Weak KAM theory and viscosity solutions of Hamilton-Jacobi equations;
• Normal form and averaging theory.

I also work in smooth dynamics and thermodynamic formalism.

Teaching and Exposition

• Fall 2020: MAT457/MAT1000, Real Analysis I.
• Winter 2021 (UTM):
  • MAT331: Partial Differential Equations.
  • MAT334: Complex variables.

Other Links

• Department of Mathematics at Universit of Toronto
• Dynamics Seminar at UofT
• Dynamics at Maryland
• Dynamics at PennState
• American Mathematical Society

Recent Updates

• 2020/12/15 Publications
• 2020/09/01 MAT 1000/457 Real Analysis I - Fall 2020
• 2019/01/01 MAT 1001/458 Real Analysis II - Winter 2019
• 2018/07/12 MAT 1845 Dynamical Systems - Winter 2017