Kai-Hsiang Wang

Ph.D. in Math (June 2025).
Department of Mathematics
Northwestern University

I am visiting NCTS in Taipei, Taiwan during 2025 summer.
Email: khwang2025 [AT] u [DOT] northwestern [DOT] edu
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. 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.
  3. Erik Hupp, Aaron Naber, and Kai-Hsiang Wang. “Lower Ricci Curvature and Nonexistence of Manifold Structure”. In: Geometry & Topology 29:1 (2025) pp. 443–477.
  4. Dongwei Chen and Kai-Hsiang Wang. “On the Probabilistic Approximation in Reproducing Kernel Hilbert Spaces”. In: Complex Analysis and Operator Theory 19, 137 (2025).
-Curriculum Vitae [PDF]