My main field of research is analysis of partial differential equations. In particular, I study equations related to fluid mechanics and nonlinear dispersive waves. 

Many physical phenomena are governed by nonlinear evolution equations, often constrained to bounded (possibly moving) domains. Those equations describe the evolution of celestial bodies, model water waves, and arise in the formulation of cell dynamics. My goal is to understand some of those equations using  rigorous mathematics, and to prove new results that are of physical significance. 

At the moment, I am working on shallow water equations.