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Research Interests
Differential Geometry, Geometric Flows
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Publications and Preprints
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1) Rigidity of convex polytopes under the dominant energy condition (with Simon Brendle). [arXiv:2304.04145]
2) Perserving positive intermediate curvature (with Florian Johne and Jingbo Wan). [arXiv:2301.07655]
3) Equivariant manifolds with positive scalar curvature (with Yangyang Li). [arXiv:2109.12725]
4) Area and boundary length of surfaces diffeomorphic to annuli. [arXiv:2107.00335]
5) Ricci Flow on Manifolds with Boundary with Arbitrary Initial Metric, J. Reine Angew. Math. (Crelles Journal), vol. 2022, no. 783, pp. 159-216. [arXiv:2012.04430]
6) Positivity of Curvature on Manifolds with Boundary, Int. Math. Res. Not. , vol. 2022, issue 15, July 2022, pp. 11401-11426. [journal link] [arXiv:2012.00255]
7) Self-Expanders to Inverse Curvature Flows by Homogeneous Functions (with Ka-Wing Chow, Frederick Tsz-Ho Fong), Comm. Anal. Geom. (2021), Volume 29, Number 2, pp329-362 [journal link] [arXiv:1701.03995] - 8) Subnatural-linewidth biphotons from a Doppler-broadened hot atomic vapor cell (with Chi Shu, Peng Chen, Lingbang Zhu, Yanhong Xiao, MMT Loy, and Shengwang Du), Nature Communications, 7, Pp. 12783. Publisher's Version