I am studying Partial Differential Equations arising in fluid dynamics.

Invited talk, *Global regularity and fast small scales formation for Euler patch equation in a disk *, Conference: Reflections on Mathematical Fluid Dynamics, University of Virgina, May 12-13, 2017.

Presentation, *Euler Vortex Patch: an example to understand solving PDE in fluid mechanics*, Current Mathematics Seminar, Rice University, March, 2017.

Presentation, *From Lp functions to distribution theory*, Current Mathematics Seminar, March, 2016.

Presentation, *Introduction to interpolation theory and applications*, Current Mathematics Seminar, April, 2015.

C. Li, *Global regularity for Euler vortex patch in general bounded smooth domain*. In preparation.

C. Li, *Global regularity and fast small scale formation for Euler patch equation in a disk*. Submitted to Nonlinearity, arXiv:1703.09674.

A. Kiselev, M. Chernobay, O.Lazar, and C.Li, * Small scale creation in inviscid fluids*, Lecture Notes of Summer School in Levico Terme, Italy, 2015, 23 pages.