👋 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. Recently, I have been interested in the construction of solutions to nonlinear PDEs with special geometric or structural properties, including the Einstein constraint equations, minimal graph systems in higher codimension, and other nonlinear geometric PDEs.

📄 Publications

See the full list on the Publications page.

General Relativity & Hyperbolic PDE

(with Dawei Shen) Cauchy Data for Formation of Multiple Black Holes with Prescribed ADM Parameters, arXiv:2601.01517 (2026). [preprint] arXiv
(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

ICCM 2025, Shanghai, Jan 2026 — Formation of Multiple Black Holes from Cauchy Data
GAPDE Seminar, Cambridge, Nov 2025 — Formation of Multiple Black Holes from Cauchy Data
Analysis Seminar, AMSS (Virtual), Apr 2025 — Hyperbolic Estimates for Nonlinear Stability of Subextremal Reissner–Nordström
Hyperbolic & Dispersive Equations on Curved Geometries, SCGP, Apr 2025 — Hyperbolic Estimates for Nonlinear Stability of Subextremal Reissner–Nordström
Lehigh Geometry Seminar (Virtual), Jan 2025 — Rigidity of Contracting Maps Between Positively Curved Manifolds
Mathematical GR and Hyperbolic PDE Seminar (Virtual), Sep 2024 — Axisymmetric Solution of the Teukolsky System
Harmonic Analysis and Differential Equations Seminar, UC Berkeley, Sep 2024 — Axisymmetric Solution of the Teukolsky System
Mini-Workshop in Geometric Analysis, SUSTech, Aug 2024 — Sharp Interior Gradient Estimate for GMCF in Arbitrary Codimension
Seminar on Pure Mathematics, HKUST, Aug 2024 — Sharp Interior Gradient Estimate for Area Decreasing Graphical Mean Curvature Flow in Arbitrary Codimension
Topics in General Relativity, University of Münster, Jul 2024 — Axisymmetric Solution of the Teukolsky System
Geometric Analysis Seminar, Westlake University (Online), Apr 2024 — Rigidity of Area Non-Increasing Maps
Geometric Analysis Seminar, BIMCR (Online), Mar 2024 — Rigidity of Area Non-Increasing Maps
Geometric Analysis Seminar, CUNY Graduate Center, Sep 2023 — Rigidity of Contracting Maps Using Harmonic Map Heat Flow
Geometric Analysis Seminar, CUHK, Aug 2023 — Short Course on Semilinear Wave Equations on Black Holes
Seminar on Pure Mathematics, HKUST, Aug 2024 — Rigidity of contracting map using harmonic map heat flow
MIST Workshop on Geometry, CUHK, Aug 2023 — Rigidity of Contracting Maps Using Harmonic Map Heat Flow
Joint Geometric Analysis Seminar, CUHK, Jun 2023 — Wave Equations on Black Holes
General Relativity & Geometric Analysis Seminar, Columbia University, Oct 2022 — The Existence of a Black Hole Due to Condensation of Matter

More details: Talks

📘 Short Courses:

On the Formation of Trapped Surfaces, CUHK (Aug 2025)
Semi-linear Wave Equation on Black Holes, CUHK (Aug 2023)