I am sponsored by the Fondation Sciences Mathématiques de Paris jointly with PSL Université Paris, to conduct postdoctoral research at the Centre de Recherche en Mathématiques de la Décision (CEREMADE) in the University Paris IX Dauphine. During my fellowship, I work under the mentoring of Profesor Jean Dolbeault, in problems belonging to the so-called EFI project: Entropies, Flows and inequalities. Before my work in Paris, I successfully defended my Ph.D. thesis on May 5 of 2018, supervised by Peter Sternberg at the Department of Mathematics, Indiana University, USA.

My research interests lie primarily on the Calculus of Variations and Nonlinear Partial Differential Equations. I have focused on studies of several variational models arising from physics and functional analysis, making an effort to bridge techniques from PDE and variational analysis, with tools rooted in geometry. My work to this date consists of understanding the behavior solutions to systems of differential equations of gradient-type, studies of functions of least gradient - and more recently - studying the radial symmetry of extremal functions of weighted functional inequalities, which find applications to convergence problems in nonlinear diffusions.

The common goal in all these problems is to obtain a qualitative (and quantitative) description of objects which behave in a minimizing fashion, with respect to some underlying "energy" or cost functional.

Last updated on April, 2019