Broadly I am interested in analysis and how it interacts with the fields of geometry, topology, and probability. I am currently reading about Free Probability and Noncommutative Optimal Transport. More specifically I am interested in:
Optimal transport
Sliced Wasserstein metrics - particularly intrinsic and extrinsic geodesics in these spaces since I discovered some of them
Non-commutative optimal transport and other generalizations of calculus of variations to operator algebras
Recent Papers
John Hopper, Sliced Wasserstein Geodesics and Equivalence Wasserstein and Sliced Wasserstein metrics, arXiv (2024).
(arXiv link)
Araiza et al., White Paper: “Non-commutative Optimal Transport”, ipam reports and white papers (2025).
(link)