Research

I am interested in nonlinear hyperbolic differential equations and general relativity.

Publications and Preprints

Research Papers

[8] Xuantao Chen & Sergiu Klainerman. Formation of Trapped Surfaces from Spacelike Initial Data. arXiv:2607.11236, preprint.

[7] Xuantao Chen & Sergiu Klainerman. Forward Construction of Vacuum Initial Data with Borderline Decay. arXiv:2606.08716, preprint.

[6] Xuantao Chen & Sergiu Klainerman. Solving the constraint equation for general free data. arXiv:2512.22704, preprint.

[5] Xuantao Chen & Sergiu Klainerman. Formation of Trapped Surfaces in Geodesic Foliation. Communications in Mathematical Physics, 407, 98 (2026).

[4] Xuantao Chen & Sergiu Klainerman. Regularity of the Future Event Horizon in Perturbations of Kerr. Duke Mathematical Journal, 175 (10), 1737-1801, 2026.

[3] Xuantao Chen. Asymptotics and scattering for massive Maxwell-Klein-Gordon equations. Communications in Mathematical Physics, 405(5):133, 2024.

[2] Xuantao Chen & Hans Lindblad. Asymptotics and scattering for wave Klein-Gordon systems, Communications in Partial Differential Equations, 48(9):1102-1147, 2023.

[1] Xuantao Chen. Global stability of Minkowski spacetime for a spin-1/2 field. Advances in Theoretical and Mathematical Physics, 29(2):485-556, 2025.