CV
Education
- B.S. in Mathematics, Hong Kong University of Science and Technology, 2020
- Ph.D in Mathematics, Columbia University, 2025 (expected)
Publications
Talks
Stern’s Bochner formula on compact three-manifolds
Talk at [Scalar Curvature and Topology Student Learning Seminar](https://math.columbia.edu/~axu/seminars/scalar-curvature-seminar-post/), Columbia University
The Existence of a Black Hole Due to Condensation of Matter
Talk at [Columbia General Relativity & Geometric Analysis seminar](https://www.math.columbia.edu/~egiorgi/seminar-c.html), Columbia University
A Generalization of Hawking’s Black Hole Topology Theorem to Higher Dimensions
Talk at [Scalar Curvature and Topology Student Learning Seminar](https://math.columbia.edu/~axu/seminars/scalar-curvature-seminar-post/), Columbia University
Maximum Principles and applications
Talk at [Scalar Curvature and Topology Student Learning Seminar](https://math.columbia.edu/~axu/seminars/scalar-curvature-seminar-post/), Columbia University
Elliptic Boundary Value Problem for Dirac-Type Operators: Part 1
Talk at [Student Geometric & Analysis Seminar (Spring 2023): Scalar Curvature and Dihedral Rigidity](http://math.columbia.edu/~ypharry/seminar/dihedral-rigidity.html), Columbia University
Elliptic Boundary Value Problem for Dirac-Type Operators: Part 2
Talk at [Student Geometric & Analysis Seminar (Spring 2023): Scalar Curvature and Dihedral Rigidity](http://math.columbia.edu/~ypharry/seminar/dihedral-rigidity.html), Columbia University
Elliptic Boundary Value Problem for Dirac-Type Operators: Part 3
Talk at [Student Geometric & Analysis Seminar (Spring 2023): Scalar Curvature and Dihedral Rigidity](http://math.columbia.edu/~ypharry/seminar/dihedral-rigidity.html), Columbia University
Isoperimetric surface technique & Volumne Comparison theorems
Talk at [Student Geometric & Analysis Seminar (Spring 2023): Scalar Curvature and Dihedral Rigidity](http://math.columbia.edu/~ypharry/seminar/dihedral-rigidity.html), Columbia University
Isoperimetric surface technique & Penrose Inequality
Talk at [Student Geometric & Analysis Seminar (Spring 2023): Scalar Curvature and Dihedral Rigidity](http://math.columbia.edu/~ypharry/seminar/dihedral-rigidity.html), Columbia University
Wave equations on Blackholes
Talk at [Joint Geometric Analysis Seminar](https://www.math.cuhk.edu.hk/seminars/wave-equations-blackholes), The Chinese University of Hong Kong
Rigidity of contracting map using harmonic map heat flow
Talk at [MIST 2023 Workshop on Geometry](http://www.ims.cuhk.edu.hk/activities/conferences/mist/2023/mist_workshop_3-6aug2023/), The Chinese University of Hong Kong
Short course in semi-linear wave equation in Minkowski and Schwarzschild background
Talk at [CUHK seminar in geometric analysis], 501a, IMS
Rigidity of contracting map using harmonic map heat flow
Talk at [HKUST SEMINAR ON PURE MATHEMATICS](https://www.math.hkust.edu.hk/intranet/file/?c=seminar_abstract&f=20230817172736_22-Jingbo%20WAN_0824.pdf), THE HONG KONG UNIVERSITY OF SCIENCE & TECHNOLOGY
Rigidity of contracting map using harmonic map heat flow
Talk at [Student Geometric & Analysis Seminar (Fall 2023)](http://math.columbia.edu/~ypharry/seminar/mcf), Columbia University
Rigidity of contracting map using harmonic map heat flow
Talk at [CUNY Geometric Analysis Seminar](https://www.lehman.edu/faculty/rbettiol/seminar.html), CUNY Graduate Center
Inverse Mean Curvature Flow and a Minkowski inequality in AdS-Schwarzschild manifold
Talk at [Student Geometric & Analysis Seminar (Fall 2023)](http://math.columbia.edu/~ypharry/seminar/mcf), Columbia University
Lagrangian Mean Curvature Flow in the Gibbon-Hawking Ansatz I
Talk at [Complex Geometry Student Learning Seminar (Fall 2023)](https://www.math.columbia.edu/~sliang/seminar), Columbia University
Inverse Mean Curvature Flow and a Minkowski inequality in AdS-Schwarzschild manifold, Part II
Talk at [Student Geometric & Analysis Seminar (Fall 2023)](http://math.columbia.edu/~ypharry/seminar/mcf), Columbia University
Lagrangian Mean Curvature Flow in the Gibbon-Hawking Ansatz II
Talk at [Complex Geometry Student Learning Seminar (Fall 2023)](https://www.math.columbia.edu/~sliang/seminar), Columbia University
Inverse Mean Curvature Flow and Riemannian Penrose Inequality: Part I
Talk at [Student Geometric & Analysis Seminar (Fall 2023)](http://math.columbia.edu/~ypharry/seminar/mcf), Columbia University
Inverse Mean Curvature Flow and Riemannian Penrose Inequality: Part II
Talk at [Student Geometric & Analysis Seminar (Fall 2023)](http://math.columbia.edu/~ypharry/seminar/mcf), Columbia University
Bray’s conformal flow and Riemannian Penrose Inequality
Talk at [Student Geometric & Analysis Seminar (Fall 2023)](http://math.columbia.edu/~ypharry/seminar/mcf), Columbia University
Jenson Approximation and uniqueness of solutions
Talk at [Student Geometric & Analysis Seminar (Spring 2024)](https://math.columbia.edu/~ypharry/seminar/ma), Columbia University
Evans-Krylov and interior $C^{2,alpha}$ regularity for concave equationss
Talk at [Student Geometric & Analysis Seminar (Spring 2024)](https://math.columbia.edu/~ypharry/seminar/ma), Columbia University
Rigidity of Area Non-Increasing Maps
Talk at [BIMCR geometric analysis seminar](https://bicmr.pku.edu.cn/cn/content/show/43-3239.html), BIMCR, online
The Dirichlet Problem for Concave Equations
Talk at [Student Geometric & Analysis Seminar (Spring 2024)](https://math.columbia.edu/~ypharry/seminar/ma), Columbia University
Rigidity of Area Non-Increasing Maps
Talk at [Westlake geometric analysis seminar](https://its.westlake.edu.cn/info/1133/2032.htm), Westlake University, online
Axially Symmetric Solution of the Teukolsky System in Very Slowly Rotating and Strongly Charged Sub-Extremal Kerr-Newman Spacetime
Talk at [Oberseminar Topics in General Relativity](https://www.uni-muenster.de/FB10/Service/show_article.shtml?id=10138&brettid=48), Muenster Univerity