My main field of research is Analysis of Partial Differential Equations. I am also interested in the theory of fluid mechanics and nonlinear dispersive waves.

Many physical phenomena are governed by complicated (non)linear partial differential equations, often constrained to bounded domains. In a nutshell, I aim to combat those problems using  rigorous mathematics, and to prove new results that are physically significant. 

At the moment, I am working on free boundary compressible fluid models. Those models describe the evolution of celestial bodies/water waves, and arise in the formulation of quantum fluids.