For the 2025-2026 academic year I will be on sabbatical leave as a visitor at the Courant Institute.
I am co-organizing the Convexity Seminar with Deane Yang, Gaoyong Zhang, and Shay Sadovsky.
Recent
- • The fuzzy Landau equation: global well-posedness and Fisher information.
Joint with Maria Gualdani, Natasa Pavlovic, Maja Taskovic, and Nicola Zamponi.
- • The Landau equation does not blow up.
Joint with Luis Silvestre.
- • A Convex Optimization Framework for Regularized Geodesic Distances.
Joint with Michal Edelstein, Justin Solomon, and Mirela Ben-Chen.
About
I am originally from Valera, in the Venezuelan Andes. I attended Universidad Simon Bolívar, where I was advised by Lazaro Recht, and later the University of Texas at Austin, where I was advised by Luis Caffarelli.
My interests are broadly in the analysis of partial differential equations, the calculus of variations, and scientific computing. More concrely, I have worked or have been working on
-
Kinetic equatioons
Free boundary problems
Monge-Ampere type equations
Optimal transport
Hamilton-Jacobi equations
Geometric data processing
Expository writing and random mathematical thoughts related to my research are posted sometimes (rarely) in my blog.