👋 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).

🧠 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 geometry of submanifolds.

📄 Publications

See the full list on the Publications page.

General Relativity & Hyperbolic PDE

(with Allen Juntao Fang and Elena Giorgi) Wave Decay and Horizon Instability on Strongly Charged Extremal Kerr–Newman Black Holes, arXiv:2606.29956 (2026). [preprint] arXiv
(with Dawei Shen) Vacuum initial data with minimal decay and borderline decay, arXiv:2602.01557 (2026). [preprint] arXiv
(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. pp. 295-333 Volume 30 (2026) Number 2. arXiv
(with Elena Giorgi) Physical-Space Estimates for Axisymmetric Waves on Extremal Kerr, J. Funct. Anal. 287 (12), 110668. arXiv

Geometric Analysis

(with Jianchun Chu and Man-Chun Lee) Rigidity of Positive Mass Theorem with Fast Metric Decay, arXiv:2607.17236 (2026). [preprint] arXiv
(with Tsz-Kiu Aaron Chow) Maximal Normal Curvature and Veronese Rigidity, arXiv:2607.00949 (2026). [preprint] arXiv
(with Tsz-Kiu Aaron Chow) Sharp Focal Radius Estimate and Rigidity of Hypersurfaces in Manifolds with Positive Curvature, arXiv:2606.02829 (2026). [preprint] arXiv
(with Chung-Jun Tsai, Mao-Pei Tsui, and Mu-Tao Wang) Constructing Entire Minimal Graphs by Evolving Planes, Calc. Var. Partial Differ. Equ. Volume 65, article number 196 (2026) 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. 154 (2026), 3107-3118 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

LJLL Seminar on Mathematical General Relativity, Sorbonne, Apr 2026 — Wave decay on slowly-rotating extremal Kerr–Newman black holes
Mathematical GR and Hyperbolic PDE Seminar (Virtual), Apr 2026 — Vacuum asymptotically flat initial data at minimal and borderline decay
AMS Congress, Boston College, Mar 2026 — Cauchy Data for Formation of Multiple Black Holes with Prescribed ADM Parameters
Princeton Analysis Seminar, Princeton, Mar 2026 — Constructing Cauchy Data for Multiple Black Hole Formation
TSIMF Sanya Waves 2026, Sanya, Feb 2026 — Formation of Multiple Black Holes from Cauchy Data
Department of Mathematics Seminar, HKUST, Feb 2026 — Entire minimal graphs from an evolving-plane ansatz
Department of Mathematics Seminar, HKUST, Feb 2026 — Vacuum asymptotically flat initial data at minimal and borderline decay via conical solution operators
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 2023 — 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:

An Introduction to the Geometry of Null Hypersurfaces in General Relativity (lecture notes (PDF)), USTC (Jun 2026)
On the Formation of Trapped Surfaces, CUHK (Aug 2025)
Semi-linear Wave Equation on Black Holes, CUHK (Aug 2023)