👋 Hi there, I’m Jingbo — a CNRS postdoctoral researcher passionate about General Relativity and Geometric Analysis
🗼I am a CNRS postdoctoral researcher at Sorbonne University (Paris), supervised by Jérémie Szeftel.
🎓 I received my PhD in Mathematics from Columbia University (2025), where I was advised by Mu-Tao Wang and Elena Giorgi.
🏫 I completed my undergraduate studies at The Hong Kong University of Science and Technology (2020), mentored by Frederick Fong.
🧠 Research
I work at the interface of general relativity, geometric analysis, and nonlinear PDE, with a focus on the geometry and dynamics of black holes, dispersive equations on curved spacetimes, and geometric evolution problems.
📄 Publications
See the full list on the Publications page.
General Relativity & Hyperbolic PDE
- (with Elena Giorgi and Dawei Shen) Cauchy Data for Multiple Collapsing Boson Stars, arXiv:2512.01844 (2025). [preprint] arXiv
- (with Allen Juntao Fang and Elena Giorgi) Einstein–Maxwell Equations on Mass-Centered GCM Hypersurfaces, arXiv:2510.10814 (2025). [preprint] arXiv
- (with Allen Juntao Fang and Elena Giorgi) Mass-Centered GCM Framework in Perturbations of Kerr(–Newman), arXiv:2510.10811 (2025). [preprint] arXiv
- (with Dawei Shen) Formation of Multiple Black Holes from Cauchy Data, arXiv:2506.16117 (2025). [preprint] arXiv
- (with Dawei Shen) Formation of Trapped Surfaces for the Einstein–Maxwell–Charged Scalar Field System, arXiv:2504.19976 (2025). [preprint] arXiv
- (with Sergiu Klainerman and Dawei Shen) A Canonical Foliation on Null Infinity in Perturbations of Kerr, arXiv:2412.20119 (2024), submitted. arXiv
- (with Elena Giorgi) Boundedness and Decay for the Teukolsky System in Kerr–Newman Spacetime II, Adv. Theor. Math. Phys.. arXiv
- (with Elena Giorgi) Physical-Space Estimates for Axisymmetric Waves on Extremal Kerr, J. Funct. Anal. 287 (12), 110668. arXiv
Geometric Analysis
- (with Chung-Jun Tsai, Mao-Pei Tsui, and Mu-Tao Wang) Constructing Entire Minimal Graphs by Evolving Planes, arXiv:2510.24978 (2025). [preprint] arXiv
- Sharp Interior Gradient Estimate for Area-Decreasing Graphical Mean Curvature Flow in Arbitrary Codimension, submitted. arXiv
- (with Man-Chun Lee and Luen-Fai Tam) Rigidity of Area Non-Increasing Maps, Trans. Amer. Math. Soc. 378 (2025). arXiv
- (with Man-Chun Lee) Rigidity of Contracting Maps via Harmonic Map Heat Flow, Proc. Amer. Math. Soc. (to appear). arXiv
- (with Florian Johne and Tsz-Kiu Aaron Chow) Preserving Positive Intermediate Curvature, J. Geom. Anal. 33, 366 (2023). arXiv
- (with N. C.-H. Chin and F. T.-H. Fong) Uniqueness of Self-Conformal Solutions to Inverse Curvature Flows, Proc. Amer. Math. Soc. 148 (2020). arXiv
🧑🏫 Teaching & Seminars
Teaching
I have been Instructors and Teaching assistants for multiple classes at Columbia University:
- Spring 2025: Calculus II, Instructor
- Summer 2024: Analysis and Optimization, Instructor
- Fall 2024: Accelerated Multivariable Calculus, Teaching Assistant
- Spring 2024: Accelerated Multivariable Calculus, Teaching Assistant
- Fall 2023: Accelerated Multivariable Calculus, Teaching Assistant (second half)
- Fall 2023: Number Theory and Cryptography, Teaching Assistant (first half)
- Spring 2023: Linear Algebra, Teaching Assistant
- Fall 2022: Linear Algebra, Teaching Assistant
- Spring 2022: Number Theory and Cryptography, Teaching Assistant
- Fall 2021: Ordinary Differential Equations, Teaching Assistant
Seminars
I have co-organized the following student seminars at Columbia University:
- Fall 2021: Informal Student GR Seminar (Zoom)
- Fall 2022: Scalar Curvature and Topology
- Spring 2023: Scalar Curvature and Dihedral Rigidity
- Fall 2023: Geometric Flows and Their Applications
- Spring 2024: Regularity Theory of the Monge–Ampère Equation
- Fall 2024: BV Functions & Regularity of Minimal Surfaces
🎤 Invited Talks
Selected invited talks and workshops:
- Analysis Seminar – AMSS (Virtual), Apr 2025
- Hyperbolic & Dispersive Equations on Curved Geometries – SCGP, Apr 2025
- Lehigh Geometry Seminar (Virtual), Jan 2025
- 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 – Münster University, Jul 2024
- Westlake Geometric Analysis Seminar (Online), Apr 2024
- BIMCR GA Seminar (Online), Mar 2024
- CUNY GA Seminar, Sep 2023
- CUHK GA Seminar, Aug 2023
- MIST Workshop – CUHK, Aug 2023
- Joint GA Seminar – CUHK, Jun 2023
- Columbia GR & GA Seminar, Oct 2022
More details: Talks
📘 Short Courses:
- On the Formation of Trapped Surfaces, CUHK (Aug 2024)
- Semi-linear Wave Equation on Black Holes, CUHK (Aug 2023)
More details: Talks
