I am currently interested in the long time behavior of nonlinear wave equations and other dispersive equations with geometric or physics background. In particular, I enjoy thinking about problems regarding the decay of waves and related nonlinear stability problems.
I co-organized a PDE learning seminar with Sung-Jin Oh in Fall 2024. Here is a link.
With Ryan Martinez and Jason Zhao, I organize the weekly Harmonic Analysis and Differential Equations Student Seminar (HADES), every Tuesday from 3:30 PM to 5 PM. Please visit the seminar website here.