Xavier Tolsa Domenech

Xavier Tolsa Domenech is a Researcher at the Department of Mathematics of the Autonomous University of Barcelona (UAB), affiliated with ICREA (Catalan Institution for Research and Advanced Studies). He holds a Ph.D. in Mathematics from UAB (1998) and a Doctor Enginyer Industrial from the Polytechnic University of Catalonia (1995).

His research focuses on Geometric Measure Theory, Harmonic Analysis, and Partial Differential Equations, with particular expertise in rectifiability, singular integrals, harmonic measure, and Riesz transforms. He leads projects such as INTEGRALES SINGULARES, TEORIA GEOMETRICA DE LA MEDIDA Y EDP's (2021–2025) and GAPT: Geometric Analysis and Potential Theory (2021–2026).

His recent work addresses topics like two-phase harmonic measure problems, solvability in rough domains, and Carleson measure conditions. He collaborates internationally with institutions in Spain, the US, and other countries. His research has been published in high-impact journals like Annals of Mathematics and Journal of Functional Analysis.