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
Integro-differential equations
Variational problems and regularity of stable solutions
Free boundary problems

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

Karakhanyan, A. & Sanz-Perela, T. (2024) Stable cones in the Alt-Phillips free boundary problem.
Preprint at https://arxiv.org/abs/2403.13059.

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

Cabré, X. & Sanz-Perela, T. (2022) A universal Hölder estimate up to dimension 4 for stable
solutions to half-Laplacian semilinear equations.
J. Differential Equations, 317, 153–195. doi: 10.1016/j.jde.2022.02.001

Felipe-Navarro, J.C. & Sanz-Perela, T. (2020) Semilinear integro-differential equations I: odd
solutions with respect to the Simons cone.
J. Funct. Anal., 278, 108309 doi: 10.1016/j.jfa.2019.108309

Felipe-Navarro, J.C. & Sanz-Perela, T. (2020). Uniqueness and stability of the saddle-shaped
solution to the fractional Allen-Cahn equation.
Rev. Mat. Iberoam., 36, 1887–1916 doi: 10.1016/10.4171/rmi/1185