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
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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. Graduate and undergraduate students interested in reading courses and research opportunities are encouraged to reach out via email.