Kai-Hsiang Wang

Ph.D. Candidate
Department of Mathematics
Northwestern University

Email: khwang2025 [AT] u [DOT] northwestern [DOT] edu
Office: Locy 212
Research Interest: My research interests are in geometric analysis, focusing on geometric inequalities and geometric objects under curvature bounds.
Some tools I use include optimal transport, stratification of singular sets, and calculus of variation.
A side interest of mine is about approximation problems in reproducing kernel Hilbert spaces (RKHS).
-Publication
  1. Chung-Jun Tsai and Kai-Hsiang Wang. “An Isoperimetric-Type Inequality for Spacelike Submanifold in the Minkowski Space”. In: International Mathematics Research Notices 2022.1 (May 2020), pp. 128–139.
  2. Erik Hupp, Aaron Naber, and Kai-Hsiang Wang. “Lower Ricci Curvature and Nonexistence of Manifold Structure”. arXiv preprint, to appear in Geometry & Topology. 2023
  3. Kai-Hsiang Wang. “Optimal transport approach to Michael--Simon--Sobolev inequalities in manifolds with intermediate Ricci curvature lower bounds”. In: Annals of Global Analysis and Geometry 65.1 (Feb. 2024), p. 7.
  4. Dongwei Chen and Kai-Hsiang Wang. “On the Probabilistic Approximation in Reproducing Kernel Hilbert Spaces”. arXiv preprint. 2024.
-Curriculum Vitae [PDF]