Welcome to my website. I am currently a post-doctoral researcher in the group of Juan J. L. Velázquez, Department for Functional Analysis, Institute for Applied Mathematics at the University of Bonn (Rheinische Friedrich-Wilhelms-Universität Bonn). Currently, I am in the project group CRC 1060 funded by DFG (German Research Foundation).
My research focuses on the mathematical analysis of partial differential equations that arise from various physical phenomena. I have proven results on partial differential equations from diverse areas in kinetic theory. I do research on problems involving the derivation of PDEs via various scaling limits, local and global existence, uniqueness, regularity, and large-time asymptotic behavior of solutions. I study physically motivated kinetic partial differential equations including the Fokker-Planck equation, the Boltzmann and the Landau equations under Newtonian mechanics or special-relativity, and the Vlasov equations, and I also study the hydrodynamic limits of those kinetic equations to several macroscopic fluid equations via different scaling limits. The study of kinetic equations is physically motivated by classical mechanics with a large number of interacting particles whose dynamics can further be described in the statistical perspective. My recent post-doctoral study with Hyung Ju Hwang has been also focused on the DNN-based machine learning approximation method for kinetic PDEs.
My doctoral study was focused on the mathematical analysis of the relativistic kinetic theory under the guidance of Robert M. Strain at the University of Pennsylvania. My thesis was entitled "Global Classical Solutions to the Relativistic Boltzmann Equation without Angular Cutoff" and was awarded The Carlitz-Zippin Prize. I was a CTL Graduate Fellow for Teaching Excellence in 2015-2016.
I studied as an undergraduate at Columbia University in the City of New York.