# 👋Hi there, I’m Jingbo, who is fond of Geometric Analysis and General Relativity!

🧑🎓 I am a fifth year graduate student at Columbia University, supervised by both Professor Mu-Tao Wang and Professor Elena Giorgi.

🙋 **I am on job market in 2024 fall**.

🏫 I was an undergraduate student in Hong Kong University of Science and technology, supervised by Professor Frederick Fong.

# More about me

✨ My **research interests** are differential geometry, partial differential equation, general relativity and so on, especially various aspects of Blackholes.

📃 So far, my **appeared works** are about positive curved manifolds, parabolic geometric/heat flows or hyperbolic equations on blackholes:

- (Joint with Elena Giorgi) “Boundedness and Decay for the Teukolsky System in Kerr-Newman Spacetime II: The Case a « M, Q < M in Axial Symmetry,” preprint.
- “Sharp Interior Gradient Estimate for Area Decreasing Graphical Mean Curvature Flow in Arbitrary Codimension,” submitted.
- (Joint with Man-Chun Lee and Luen-Fai Tam) “Rigidity of Area Non-Increasing Maps,” submitted.
- (Joint with Man-Chun Lee) “Rigidity of Contracting Map Using Harmonic Map Heat Flow,” submitted.
- (Joint with Elena Giorgi) “Physical-Space Estimates for Axisymmetric Waves on Extremal Kerr Spacetime,” , to appear in J. Funct. Anal.
- (Joint with Florian Johne and Tsz-Kiu Aaron Chow) “Preserving Positive Intermediate Curvature,” J Geom Anal 33, 366 (2023).
(Joint with Nicholas Cheng-Hoong Chin and Frederick Tsz-Ho Fong) “Uniqueness Theorems of Self-Conformal Solutions to Inverse Curvature Flows,” Proc. Amer. Math. Soc. 148 (2020), 4967-4982.

See my PUBLICATIONS LIST for more details.

🧑🏫 For **seminars and talks**, I co-organized several student seminars in Columbia University:

- Fall2021 Informal student GR seminar, over zoom
- Fall2022 Scalar Curvature and Topology
- Spring2023 Scalar Curvature and dihedral rigidity
- Fall2023 Geometric Flows and their applications
- Spring2024 Regularity Theory of the Monge-Ampère Equation
- Fall2024 BV Functions & Regularity of the Minimal Surface

🗣️ For **invited talks**, here is a list of events or seminars:

- Mathematical GR and Hyperbolic PDE Seminar - Virtual, Sep 2024
- Harmonic Analysis and Differential Equations Seminar - UC Berkeley, Sep 2024
- Mini-workshop in Geometric Analysis - SUSTech, Aug 2024
- Seminar ON Pure Mathematics - HKUST, Aug 2024
- Topics in General Relativity at Mathematics Munster - Munster University, Jul 2024
- Westlake University Geometric Analysis Seminar - Westlake University, online, Apr 2024
- BIMCR Geometric Analysis Seminar - BIMCR, online, Mar 2024
- CUNY Geometric Analysis Seminar - CUNY Graduate Center, Sep 2023
- Geometric Analysis Seminar - CUHK, Aug 2023
- Seminar ON Pure Mathematics - HKUST, Aug 2023
- MIST 2023 Workshop on Geometry - CUHK, Aug 2023
- Joint Geometric Analysis Seminar - CUHK, Jun 2023
Columbia General Relativity & Geometric Analysis Seminar - Columbia University, Oct 2022

**Invited lectures**:Short course: semi-linear wave equation on blackholes - CUHK, Aug 2023

For more details of talks I contributed to the student seminars and invited talks, see my TALKS LIST.