Xavier Ros-Oton

Xavier Ros-Oton is a Full Professor at ICREA and the University of Barcelona, specializing in partial differential equations (PDEs) and free boundary problems. His research focuses on regularity theory, fractional calculus, and geometric analysis, with significant contributions to the obstacle problem and nonlocal equations.

Key areas of expertise include free boundary regularity, fractional operators, and nonlinear diffusion phenomena. He collaborates with leading mathematicians such as Alessio Figalli and Joaquim Serra on foundational PDE theory.

Ros-Oton actively organizes academic events like the Warsaw Summer School on Evolutionary PDEs and New Frontiers in Homogenization and Fractional Calculus, reflecting his role in advancing research communities.

His work bridges theoretical analysis and applied mathematics, addressing questions in phase transitions, geometric measure theory, and nonlocal PDEs.