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Wei-Ting Kao

Postdoctoral Fellow
Institute of Mathematics, Academia Sinica
中央研究院數學所

wtkao@as.edu.tw


About Me

I am currently a postdoctoral researcher at the Institute of Mathematics, Academia Sinica (AS), working under the supervision of Professor Jih-Hsin Cheng.

I received my Ph.D. in Mathematics from National Taiwan University (NTU), where I was advised by Professor Jih-Hsin Cheng and Professor I-Hsun Tsai.

My research interests focus on CR geometry, differential geometry, and geometric analysis. More specifically, my work focuses on the theory of submanifolds in CR manifolds, as well as related PDE problems and the study of p-mass in CR manifolds.

Research Interests

Publications and Preprint

  1. The Sharp Isoperimetric Inequality in the First Heisenberg Group
    Wei-Chun Chen, Wei-Ting Kao, Chun-Kai Lien

  2. The Isoperimetric Inequality in Higher-Dimensional Heisenberg Groups
    Wei-Chun Chen, Wei-Ting Kao, Chun-Kai Lien

  3. Quantitative Centre Rigidity under Riemannian Approximation in Heisenberg Groups
    Wei-Chun Chen, Wei-Ting Kao, Chun-Kai Lien

  4. Stable Rigidity in the Heisenberg Groups
    Wei-Chun Chen, Wei-Ting Kao, Chun-Kai Lien

  5. The Jacobi Spectrum and Global Second Variation of Pansu Spheres
    Wei-Chun Chen, Wei-Ting Kao, Chun-Kai Lien

  6. A Reilly-Type Inequality for CR Dirac Operators on CR Manifolds and Applications
    Jih-Hsin Cheng, Hung-Lin Chiu, Wei-Ting Kao

  7. On the Regularity of solutions to CR Singular Yamabe equation and CR invariant energy of hypersurfaces in CR manifolds
    Wei-Ting Kao

Presentation

  1. PIMS-NCTS Workshop in Geometric Analysis, Vancouver, Canada, June 22–26, 2026
    A Reilly-Type Inequality for CR Dirac Operators on CR Manifolds and Applications

  2. The 5th Japan-Taiwan Joint Conference on Differential Geometry, Takamatsu City, Japan, November 2–5, 2025
    The regularity of singular Yamabe metric on CR Manifolds and CR invariants for hypersurfaces

  3. NCTS Differential Geometry Seminar, Taipei, Taiwan, October 5, 2023
    The Existence of the Solution of the Singular Yamabe Equation on CR Manifolds and its Asymptotic Behavior near Boundary

  4. East Asian Core Doctoral Forum on Mathematics 2020, Tokyo, Japan, January 14–17, 2020
    The variation formula of the p-mass on three dimensional compact CR manifolds embedded in $C^2$

Teaching

National Taiwan University


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