Rapa Nui — video on YouTube

Summary

Welcome to my webpage!

Since July 2026, I am a Tamarkin Assistant Professor at Brown University.

From October 2025 to June 2026, I was a Francqui Fellow of the Belgian American Educational Foundation, working as a postdoc at Brown University under the supervision of Prof. Javier Gómez-Serrano.

I obtained my PhD on December 9th 2024 (supervisors: Prof. Christophe Troestler (UMONS) and Prof. Colette De Coster (UPHF)).

I study partial differential equations (PDEs) and calculus of variations. I also have a strong interest for computer-assisted mathematics.

News and upcoming events

From 14 to 16 September 2026, I will give a minicourse on mathematics and artificial intelligence at the ICMAT in Madrid (Spain). Hope to see you there!

During the Fall 2026 semester, I am teaching Math 0100 (Single Variable Calculus, Part II) and, jointly with Javier Gómez-Serrano, Math 1310 (Frontier AI in Mathematical Research). Brown students can reach both course pages on Canvas.

Current research interests

  • Computer-assisted mathematics in the broad sense, including computer-assisted proofs in analysis (using interval arithmetic). AI-assisted mathematics;
  • Role played by the domain geometry in PDEs, spectral geometry;
  • Nonlinear elliptic PDEs, in particular the nonlinear Schrödinger equation;
  • Unidimensional aspects of PDEs: metric graphs, ODE techniques;
  • Critical point theory;
  • Variational problems with lack of compactness;
  • Normalized solutions to nonlinear problems, including in the L²-supercritical case;
  • Interface between nonlinear elliptic PDEs and fluid mechanics;
  • Control theory of PDEs.

Awards