To date, my work is broadly in the area of nonlinear partial differential equations. During my master's and the first part of my PhD, my work was in problems dealing with asymptotic behavior for nonlinear Schrodinger equations.
My current work deals with paracontrolled calculus and its application to singular stochastic partial differential equations, specifically to SPDE models coming from continuum limits of lattice dynamics and from geometric heat flows.
For a list of my publications, click here.