Research

Research interests

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. 

Publications

Here you can find titles and links to both preprint and published versions of my work (and here classified by area). 

Research profiles

Acknowledgments

My research is currently supported by the grants CEX2023-001347-S, PID2021-125021NAI00 and PID2021-124195NB-C32, funded by MCIN/AEI/10.13039/501100011033.