News:
- I recently received the Vicent Caselles 2026 prize for my PhD thesis.
- I  received the 2025 R. E. Moore jointly with T. Buckmaster and J. Gomez-Serrano for our joint paper "Smooth self-similar imploding profiles to 3D compressible Euler" published in Forum of Mathematics, Pi (2025).

My work extends through different areas of Analysis:
- My work started in self-similar singularity formation, both in Analysis of Fluids and in the context of Dispersive PDE. We proved the first singularity formation scenario for monatomic compressible Euler as well as the first non-radial and periodic blowup both for compressible Euler and supercritical defocusing NLS.
- In the case of Analysis of Fluids, I have also worked on stability problems, establishing the instability of the 2D Taylor-Green vortex (or cellular flow). 
- I have also worked in Overdetermined PDE, particularly disproving Schiffer's conjecture on the plane, and answering a similar question on the half-sphere.
- I consider myself an analyst, and have a collaboration in geometry that benefits from this interdisciplinary nature. In particular, we proved a long-standing question of Berger regarding the existence of non-trivial Einstein metrics on complex projective spaces of dimensions 4 and 6.
- In the same interdisciplinary fashion, I also have collaborative work with experts in Machine Learning searching for self-similar blowup candidates in Analysis of Fluids.

See my papers below for specifics about those works and a list of collaborators.

I did my PhD at MIT under the supervision of Gigliola Staffilani. Before joining EPFL I was a Courant Instructor at New York University.

My working languages are English, Spanish, Galician and Catalan