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
Runge-type approximation theorems for PDEs
Geometric problems in PDEs
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 CEX2023-001347-S, PID2021-125021NAI00 and PID2021-124195NB-C32, funded by MCIN/AEI/10.13039/501100011033.
Pedro Caro (BCAM)
Giovanni Covi (University of Helsinki)
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*)