Research
My research interests are optimal transport, calculus of variations, and partial differential equations. In particular, I am interested in fluid mechanics and gradient flow results for problems in applied optimal transport. Recently, I've been interested in variational mean field games theory associated only with optimal transport, and kinetic equations like the Vlasov-Poisson equations
Preprints/papers
- Generative Adversarial Networks: Dynamics, with Matias G. Delgadino , and Bruno B. Suassuna. arxiv.org/abs/2405.18673 (2024) submitted
- Regularization estimates for the Landau-Coulomb Diffusion, with Maria Gualdani and Nestor Guillen, preprint arxiv.org/abs/2310.16012 (2023) under review
- An optimal transportation principle for interacting paths and congestion* .(2022) arxiv.org/abs/2109.01946 Under review