Gonzalo Cao Labora
Nationality: EU (Spanish)
EPFL SB MATH AMCV
MA B2 455 (Bâtiment MA)
Station 8
1015 Lausanne
+41 21 693 50 58
Office:
MA B2 455
EPFL › SB › MATH › AMCV
Website: https://amcv.epfl.ch/
+41 21 693 50 58
Office:
MA B2 455
EPFL › SB › SB-SMA › SMA-ENS
Website: https://sma.epfl.ch/
Expertise
- 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).
I am interested in Partial Differential Equations (PDE), with a significant part of my work focusing on the application of computer-assisted techniques. I have worked in Analysis of Fluids, Dispersive PDE and Elliptic Overdetermined Problems, using computer assistance to prove existence of certain solutions or their stability properties. In particular, I have devoted an important part of my work to study existence and stability of self-similar solutions, which are classical candidates for singularity formation mechanisms, but very little is known about them in a lot of relevant PDE.
I did my PhD at MIT under the supervision of Gigliola Staffilani. Before joining EPFL I was a Courant Instructor at New York University
Awards
the Ramon E. Moore prize for the work “Smooth Imploding Solutions for 3D Compressible Fluids” (with T. Buckmaster and J. Gomez-Serrano).
editorial board of the journal Reliable Computing
2025
Vicent Caselles Prize to Mathematics Research
Royal Spanish Mathematical Society - BBVA Foundation
2026
Selected publications
Instability of two-dimensional Taylor-Green vortices
Gonzalo Cao Labora, Maria Colombo, Michele Dolce, Paolo Ventura
Published in arXiv in 2026
A contractible Schiffer counterexample on the half-sphere
Cao-Labora, Fernández
Published in arXiv preprint in 2025
Discovery of Unstable Singularities
Wang et al.
Published in arxiv preprint in 2025
Non-implosion for compressible Euler and Navier-Stokes in T^3 and R^3
Cao-Labora, Gomez-Serrano, Shi, Staffilani
Published in Cambridge Journal of Mathematics in 2025
Smooth imploding solutions for 3D compressible fluids
Buckmaster, Cao-Labora, Gomez-Serrano
Published in Forum of Mathematics Pi in 2025
Teaching & PhD
Courses
Introduction to partial differential equations
MATH-305
This is an introductory course on Elliptic Partial Differential Equations. The course will cover the theory of both classical and generalized (weak) solutions of elliptic PDEs.