Published in arXiv preprint, 2025
We construct vacuum initial data that evolve into multiple causally independent trapped surfaces, implying the dynamical formation of multiple black holes in finite time.
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Published in arXiv preprint, 2025
We prove scale-critical trapped surface formation for the Einstein-Maxwell-charged scalar field system without symmetry assumptions, along with a nontrivial charging process.
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Published in arXiv preprint, 2024
This paper constructs a canonical foliation on null infinity in perturbations of Kerr spacetimes, ensuring well-defined physical quantities and resolving ambiguities in physics literature.
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Published in arXiv preprint, 2024
This paper investigates axisymmetric solutions to the Teukolsky system, arising from linear perturbations of Kerr-Newman spacetime, focusing on slowly rotating, strongly charged Kerr-Newman black holes.
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Published in arXiv preprint, 2024
This paper establishes the interior gradient estimate for graphical mean curvature flow (GMCF) in arbitrary codimension under the area-decreasing condition.
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Published in Accepted by "Trans. Amer. Math. Soc.", 2023
This paper explores the rigidity of area non-increasing maps between compact manifolds with positive curvature.
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Published in The Journal of Geometric Analysis, 2023
This paper investigates natural boundary effects and conditions for the positive intermediate curvature condition introduced by Brendle-Hirsch-Johne.
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Published in arXiv preprint, 2023
This paper investigates the rigidity of maps between compact manifolds with positive curvature, based on the harmonic map heat flow approach.
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Published in Journal of Functional Analysis, Volume 287, Issue 12, Article 110668, 2022
This paper establishes physical-space Morawetz estimates for axisymmetric waves on extremal Kerr spacetime using the vector field method.
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Published in Proc. Amer. Math. Soc. 148 (2020), 4967-4982, 2020
This paper investigates the rigidity of round spheres as self-conformal solutions to inverse curvature flows.
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