My research interests lie in partial differential equations (PDEs), geometric analysis and mathematical physics. More specifically, my work includes:
Inverse problems for local and nonlocal PDEs
Unique continuation properties and Runge-type approximation theorems
Functional inequalities
Exceptional orthogonal polynomials
Here you can find slides of selected talks about these topics and my contributions to them.
My research is currently supported by the grants PID2024-156055NA-I00 and CEX2023-001347-S, funded by MICIU/AEI/10.13039/501100011033.
Pedro Caro (BCAM-Ikerbasque)
Giovanni Covi (University of Jyväskylä)
Alberto Enciso (ICMAT-CSIC)
Manuel Gadella (UVa)
David Gómez-Ullate (IE University)
Robert Milson (Dalhousie University)
Joaquim Ortega-Cerdà (UB-CRM)
Daniel Peralta-Salas (ICMAT-CSIC)
Keith M. Rogers (ICMAT-CSIC)
Angkana Rüland (Universität Bonn)
No longer in Academia or Mathematics.
Sergio González-Martín (INFN*)
Félix H. Maldonado Villamizar (INAOE)
James Munday (University of Toronto)
Wiktoria Zatoń (University of Zurich*)