I am an Assistant Professor (Professor Lector) at the Department of Mathematics and Computer Science of the Universitat de Barcelona. Previously, I was an Assistant Professor (Profesor Ayudante Doctor) at the Universidad Autónoma de Madrid, a Postdoctoral Research Associate at the University of Edinburgh, and a Postdoctoral Fellow at the Basque Center for Applied Mathematics. I obtained my PhD in June of 2019 at the Universitat Politècnica de Catalunya.

Personal website: https://www.ub.edu/pde/tomas.sanz.perela/ 

Elliptic partial differential equations

Relativistic quantum physics

Shape optimization

Integro-differential equations

Variational problems and regularity of stable solutions

Free boundary problems

PID2021-123903NB-I00 (PIs: Xavier Cabré and Albert Mas)

A. Audrito, T. Sanz-Perela. On the existence of solutions to some singular parabolic free boundary problems. Nonlinear Analysis 272, 114170 (2026).

J. Duran, A. Mas, T. Sanz-Perela. A connection between quantum dot Dirac operators and ∂-Robin Laplacians in the context of shape optimization problems. J. Funct. Anal. 290, 111398 (2026).

A. Karakhanyan, T. Sanz-Perela. Stable cones in the Alt-Phillips free boundary problem. Calc. Var. 65, 83 (2026).

N. Arrizabalaga, A. Mas, T. Sanz-Perela, L. Vega. Eigenvalue curves for generalized MIT bag models. Commun. Math. Phys. 397, 337–392 (2023). doi: 10.1007/s00220-022-04526-3