Research Interests

I currently work in the general area of nonlinear partial differential equations, with particular interests in mathematical models for collective behavior of biological aggregations and wave propagation in stratified media. My previous research includes: Leray-type regularizations of the Burgers and compressible Euler equations, Lagrangian-averaged fluid equations, particle methods for oscillatory solutions of semilinear hyperbolic systems, symplectic integrators for non-smooth Lagrangian mechanics.