Graduate course (Spring 2018, Spring 2019, Spring 2020, Spring 2021
online, Spring 2022) at Cergy Paris University:
Regularity for Partial Differential Equations: elliptic equations, homogenization and fluid mechanics
- Lecture 1: Caccioppoli's inequality and applications
- Lecture 2: Improved regularity in periodic homogenization and Liouville theorems
- Lecture 3: Harnack's inequality and Moser's proof of the De Giorgi-Nash-Moser theorem
- Lecture 4: De Giorgi's proof of the De Giorgi-Nash-Moser theorem
- Lecture 5: Calderón-Zygmund decomposition, BMO and John-Nirenberg's inequality
- Lecture 6: Epsilon regularity for the Navier-Stokes equations
Master course (Fall 2020) at Cergy Paris University:
Reading group based on ``Differential Equations, Dynamical Systems, and an Introduction to Chaos'' by Hirsch, Smale and Devaney and ``Les Matrices'' by Serre
With
Baoping Liu I gave a series of
introductory classes to PDEs at the
REU 2015 of the Department of Mathematics at The University of Chicago.
Here is a list of the classes I taught at The University of Chicago (2013-2015):
- Math 27300, Basic Theory of Ordinary Differential Equations (Winter 2015)
- Math 20000, Mathematical Methods for Physical Science 1 (Fall 2014)
- Math 20400, Analysis 2 (Fall 2014)
- Math 20100, Mathematical Methods for Physical Science 2 (Winter 2014)
- Math 20500, Analysis 3 (Winter 2014)
- Math 20000, Mathematical Methods for Physical Science 1 (Fall 2013)
- Math 20400, Analysis 2 (Fall 2013)