I’m a Hedrick Assistant Adjunct Professor at the Department of Mathematics, where I am part of research teams led by Prof. Andrea Bertozzi and Prof. Marcus Roper. Before coming to UCLA, I completed my PhD in applied math from the University of North Carolina at Chapel Hill, under the guidance of Prof. Richard Mclaughlin and Prof. Roberto Camassa. 

My research integrates rigorous modeling of physical phenomena with the development of robust numerical methods and the asymptotic analysis of nonlinear (stochastic) partial differential equations. By incorporating approximation theory, my work aims to enhance scientific understanding and tackle complex problems in fluid dynamics, such as  thin film fluid dynamics, particle-laden flows, and mass transfer. More details of my research projects can be found here.

Modeling projects  includes:

1. Scalar mixing and transport: Taylor dispersion, multispecies electrolyte solution, scalar intermittency, mixing by microswimmer, chaotic advection 

2. Stratified fluid: Diffusion-driven flow, Particle settling

3. Particle-laden flows: spiral gravity separators, microcentrifuges

4. Wave turbulence 

5. Hamiltonian shocks

Numerical method projects  includes:

1. Evaluating Laplace and Helmholtz  layer potentials via frame approximation

2. Lagrangian Flux Calculation Through Curve or surface for Scalar Conservation Laws