Presentations
- • Optimal transport problems with interaction effects
ICERM workshop, Optimal Transport in Data Science (May 2023) [Slides] [video] - • Aleksandrov's estimate and its generalizations (and lack thereof)
Midwest Geometry Conference (March 2022) [Slides] - • Free boundary problems as Hamilton-Jacobi-Bellman equations
Online Analysis and PDE Seminar (March 2021) [Slides] - • Recent advances in the theory of prescribed Jacobian equations
Texas State University (January 2019) [Slides] - • Free boundary problems as parabolic Integro-differential equations
BIRS workshop, Advanced Developments for Surface and Interface Dynamics (June 2018) [Slides] [video] - • A rapid course on generated Jacobian equations
Banff workshop, Generated Jacobian Equations: from geometric optics to economics (April 2017) [Slides] [video]
Lecture notes
- • The Landau equation and Fisher information.
Expository note (2025), submitted to Notices of the AMS [arXiv]. Joint with Luis Silvestre.
- • A primer on Generated Jacobian Equations: geometry, optics, economics.
Notices of the American Mathematical Society (2019). [Article] - • Five lectures on optimal transportation: geometry, regularity and applications.
Joint with Robert McCann.
Analysis and Geometry of Metric Measure Spaces: Lecture Notes of the Séminaire de Mathématiques Supérieure (SMS), Montréal (2012). [Book]