Welcome to Ke Zhang's Homepage
Ke Zhang
Assistant Professor
3142 Earth Science Building (St George) || 4062 William G. Davis Building (UTM)
Phone: 416-978-5162 (St George) || Phone: 905-569-4741 (UTM)
Department of Mathematics, University of Toronto
Personal information

I was born in Jingdezhen, China and graduated from Tsinghua University in Beijing, China. I got my Ph.D. in Mathematics at The Pennsylvania State University, working with Professor Yakov Pesin. I was a postdoc at University of Maryland and a Fields-Ontario postdoc at University of Toronto.

For a more detailed CV see this link.

Research Interests

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:

  1. Arnold diffusion (instability in Hamiltonian systems);
  2. Weak KAM theory and viscosity solutions of Hamilton-Jacobi equations;
  3. Normal form and averaging theory.
I am also working on thermodynamic formalism of inducing schemes, the topic of my thesis.

Here is a list of my publications and preprints.

Teaching

I am currently teaching MAT1835 (graduate, Dynamical Systems).

I taught M232 (Multivariable Calculus) at UTM. I taught College Algebra, Calculus I, III, Differential Equations and Linear Algebra at Penn State University. In Maryland, I taught Math 140, 140H (calculus I), 141H (Calulus II), 241H (Calculus III), 412 (Advanced Calculus with applications) and STAT 100 (Elementary Statistics and Probability.

Other Links

Department of Mathematics at Universit of Toronto
Dynamics Seminar at UofT
American Mathematical Society
MathSciNet
Dynamics at Maryland
The Center for Dynamics and Geometry at Pennstate