I am a Courant Instructor / Assistant Professor at the NYU Courant Institute of Mathematical Sciences. Previously, I was a PhD student at the MIT Department of Mathematics, advised by Prof. Gigliola Staffilani. My work focuses self-similar solutions for both dispersive and fluids PDE. I am generally interested in singularity formation, non-uniqueness, stability problems, and computer-assisted techniques.
Publications
- Non-radial implosion for the defocusing nonlinear Schr\"odinger equation in T^d and R^d, with J. Gómez-Serrano, J. Shi, and G. Staffilani.
Submitted
- Non-radial implosion for compressible Euler and Navier-Stokes in T^3 and R^3, with J. Gómez-Serrano, J. Shi, and G. Staffilani.
Submitted
- Smooth self-similar imploding profiles to 3D compressible Euler, with T. Buckmaster and J. Gómez-Serrano.
Quarterly of Applied Mathematics, 81, 517-532 (2023).
- Evaluating Borwein integrals using residue theory, with D. Cao Labora.
To appear at Complex Analysis and Operator Theory (CAOT).
- Smooth imploding solutions for 3D compressible fluids, with T. Buckmaster and J. Gómez-Serrano.
Forum of Mathematics, Pi 13, e6 (2025)
- An Erdös-Fuchs theorem for ordered representation functions, with J. Rué and C. Spiegel.
The Ramanujan Journal 56, no. 1, 183-201 (2021)
*This website was last updated on February 2025.
Gonzalo Cao-Labora
gc2703 [at] nyu [dot] edu
Courant Institute of Mathematical Sciences
New York University
251 Mercer Street
New York, NY, 10008
USA