Xavier Fernandez-Real

Xavier Fernandez-Real serves as a Researcher and Lecturer at the Swiss Federal Institute of Technology Lausanne (EPFL), affiliated with the School of Basic Sciences and the Institute of Mathematics. He holds positions in both the Chair of Mathematical Analysis, Calculus of Variations and PDEs (AMCV) and the SMA-ENS teaching unit, maintaining his office at MA C2 567 in Building MA.

His research concentrates on Mathematical Analysis with specialized expertise in Calculus of Variations, Partial Differential Equations, and Optimal Transport theory. He investigates fundamental problems including Monge-Kantorovich formulations, Wasserstein metric geometry, and applications to functional inequalities, traffic modeling, and PDE analysis. His work bridges theoretical frameworks with practical implementations across mathematical physics and optimization domains.

No scientific awards are documented in the available institutional records.

As an academic advisor, he currently supervises PhD candidate Roberto Colombo. His teaching portfolio features the advanced course "Optimal Transport," which systematically covers Monge and Kantorovich problem formulations, Wasserstein distance theory, and applications to partial differential equations, geometric inequalities, and traffic flow modeling.

He operates within the AMCV research group, which focuses on advancing methodologies in mathematical analysis, variational principles, and partial differential equations through collaborative theoretical and applied projects.