# 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

### Isoperimetric surface technique & Penrose Inequality

### 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

### Inverse Mean Curvature Flow and Riemannian Penrose Inequality: Part II

### Bray’s conformal flow and Riemannian Penrose Inequality

### 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 $C^{2,lpha}$ regularity for concave equationss

Talk at [Student Geometric & Analysis Seminar (Spring 2024)](https://math.columbia.edu/~ypharry/seminar/ma), Columbia University