During my research fellowship, I work under the supervision of Professor Stan Alama and Professor Lia Bronsard, in the group of Analysis and PDEs.

Before working in McMaster, I spend a wonderful year in Paris on a FSMP-PSL Postdoctoral Fellowship in the CEREMADE lab at the University Paris IX, conducting research under the supervision of the Profesor Jean Dolbeault in problems belonging to the so-called EFI project: Entropies, Flows and inequalities. I successfully defended my Ph.D. thesis on May 5 of 2018, with the privilege of having Peter Sternberg as my doctoral advisor, in the Department of Mathematics, Indiana University, United States.

My research interests lie primarily on the Calculus of Variations and Nonlinear Partial Differential Equations. So far, 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 July, 2020