Regular biography
Young-Heon Kim is a faculty member in the Department of Mathematics at The University of British Columbia. His research interests are not specified in the available information. He can be contacted via email at yhkim@math.ubc.ca or through his personal website. His profile page indicates his affiliation with the university and provides contact details, but no further details about his academic background, awards, or specific research areas are provided.
Scholar-generated biography
Young-Heon Kim is a mathematician at the University of British Columbia, specializing in Optimal transport, PDE, and Geometry. His research explores the mathematical foundations of optimal transport, including its connections to PDEs and geometric structures. Kim's work addresses the regularity of optimal transport maps, the structure of martingale transport plans, and the application of optimal transport to Riemannian manifolds. His publications investigate topics such as Wasserstein barycenters, Monge-Ampère equations, and the smoothness of optimal maps. Kim's research also extends to multi-marginal optimal transport and the interplay between optimal transport and stochastic processes.