Publications and Preprints

• On the Geometry and Uniqueness of Asymptotically Locally Hyperbolic Static Vacuum Black Holes (joint w/ Ye-Kai Wang)

    Communications in Mathematical Physics (to appear). ArXiv.

• On Weak Inverse Mean Curvature Flow and Minkowski-Type Inequalities in Hyperbolic Space

    Calculus of Variations and Partial Differential Equations 65, Article 212 (2026). ArXiv. Journal. 

• Quasi-Spherical Metrics and the Static Minkowski Inequality (joint w/ Ye-Kai Wang)

    Under review, ArXiv.

• A Rigidity Theorem for Asymptotically Flat Static Manifolds and its Applications (joint w/ Ye-Kai Wang)

    Transactions of the American Mathematical Society 377 No. 5 (2024), 3599-3629. ArXiv. Journal.

• The Mass of the Static Extension of Small Spheres (joint w/ Ye-Kai Wang)

    International Mathematics Research Notices, Vol. 2024, No. 2 (2024). ArXiv. Journal.

• Inverse Mean Curvature Flow of Rotationally Symmetric Hypersurfaces

    Calculus of Variations and Partial Differential Equations 62, No. 125 (2023). ArXiv. Journal.

• The Limit of the Inverse Mean Curvature Flow on a Torus

    Proceedings of the American Mathematical Society 150 (2022), 3049-3061. ArXiv. Journal.

• Inverse Mean Curvature Flow over Non-Star-Shaped Surfaces

    Mathematical Research Letters, Vol. 29, No. 4 (2022), 1065-1086. ArXiv. Journal.

• The Inverse Mean Curvature Flow: Singularities, Dynamical Stability, and Applications to Minimal Surfaces

    PhD. Thesis, University of California, Davis (2021). Publication.

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“I am so clever that sometimes I don't understand a single word of what I am saying.”

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