I have conducted research in hyperbolic conservation laws, kinetic theory, Hamilton-Jacobi equations and front propagations, computational fluid dynamics, high frequency waves, semiclassical methods for quantum dynamics, and uncertainty quantification.
(incomplete) Citation information from Web of Science

Google Scholar Citation data

Hyperbolic conservation laws

Kinetic Theory

Hamilton-Jacobi equations and front propagations

Computational fluid dynamics

High frequency wave propagation and Semiclassical Limit

Uncertainty Quantification for Kinetic and Hyperbolic Equations