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I am a Ramón y Cajal Fellow (tenure track) at BCAM - Basque Center for Applied Mathematics, in Bilbao, Spain.
Previously, I was
2024-2025: Marie Curie Postdoctoral Fellow at BCAM, supported by a Marie Sklodowska-Curie Actions (MSCA) Postdoctoral Fellowship under project 101104250 - TIDE.
2020-2024: Simons Postdoctoral Research Associate at the University of Massachusetts Amherst, working with Andrea Nahmod. I was also part of the Simons Collaboration on Wave Turbulence. In the academic year 2023/2024 I was the co-organizer of the Analysis and PDE Seminar at UMass Amherst.
I was awarded the 2022 Vicent Caselles Research Awards from the Spanish Mathematical Society (RSME) and Fundación BBVA.
Some recent dissemination activities:
Talk at 2025 BCAM-Naukas Pi Day: "La longitud de la costa y otros fractales".
XLSemanal interviewed me in November 2024.
Information:
Research
Research
Some of my fields of interest:
Convergence of the solution to the free Schrödinger equation to the initial datum
Mathematical description of turbulence, multifractality and intermittency
Wave Kinetic Equations derived from dispersive equations
Study of dispersive PDEs from a probabilistic point of view (with randomized data)
Vortex filament equation and Riemann's non-differentiable function
Talbot effect
Me and the cherry blossom at the University of Washington, Seattle (April 2023)
Formal me in Madrid (Fall 2022)
Informal me in New York (Fall 2021)
PhD
PhD
July 2020: PhD in Mathematics and Statistics, University of the Basque Country (UPV/EHU)
2016-2020: PhD Student at Basque Center for Applied Mathematics (BCAM)
Advisor: Luis Vega
PhD Thesis: A physical and geometric study of Riemann's non-differentiable function.
In my thesis, I studied the surprising relationship between Riemann's non-differentiable function and several physical phenomena such as turbulence, the evolution of vortex filaments and the Talbot effect. Numerical experiments suggest that Riemann's function has an intrinsic geometric structure, revealing the importance of the study of some of its geometric properties. I also worked on the mathematical description of intermittency in the context of turbulence and on its application to Riemann's function.
Languages:
Spanish and Basque: Native speaker
English
French
Analysts in Bilbao form the Bilbao Analysis and PDE group.
The PhD Seminar at BCAM is called the LIGHT PhD Seminar.
... and sporty me in the Pyrenees (Pico Balaitús, 3144m).
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