Research: understanding the landscape

Understanding an optimization problem starts with understanding its landscape. In Euclidean spaces, derivatives often reveal this geometry. In infinite-dimensional spaces, functional and geometric inequalities can play a similar role. I like to study the rigidity and quantitative stability encoded by these inequalities, and how they help us understand variational problems and their numerical schemes.

From Rio to Paris

Before joining ENSAE/CREST, I was a postdoctoral researcher in the Optimal Transportation team at the Lagrange Mathematical and Computational Research Center, led by G. Carlier, A. Figalli, Q. Mérigot, and F. Santambrogio.

I completed my PhD at Université Paris-Dauphine and the Mokaplan Inria team, supervised by Antonin Chambolle and Vincent Duval. Before that, I studied at EMAp FGV in Rio de Janeiro under the guidance of Maria Soledad Aronna.