Xin NIE 聂 鑫
Xin NIE 聂 鑫
Assistant Professor at Shing-Tung Yau Center of Southeast University in Nanjing, China
Emails: nie.hsin (at) gmail.com, niexin (at) seu.edu.cn
Assistant Professor at Shing-Tung Yau Center of Southeast University in Nanjing, China
Emails: nie.hsin (at) gmail.com, niexin (at) seu.edu.cn
I graduated from Tsinghua University in 2008 with BSc degree and completed my PhD at University Paris VI (now part of Sorbonne University) in 2013, supervised by Prof. Gilles Courtois. I was postdoc in Orsay, KIAS and Tsinghua before joining SEU in 2021.
I am a mathematician interested in geometric structures on surfaces (hyperbolic, convex projective, circle pattern, etc.) and higher Teichmüller theory (Higgs bundle, surface group representation, etc.).
Boundary metric of Epstein-Penner convex hull and discrete conformality. Accepted to Geom. Dedicata (2024). arXiv.
Cyclic Higgs bundles and minimal surfaces in pseudo-hyperbolic spaces. Adv. Math. 436 (2024) 109402. published, arXiv.
On circle patterns and spherical conical metrics. Proc. Amer. Math. Soc. 152 (2024), 843-853. published, arXiv.
(with Andrea Seppi) Affine deformations of quasi-divisible convex cones. Proc. London Math. Soc. 3 (2023), 1-49. published, arXiv.
(with Andrea Seppi) Hypersurfaces of constant Gauss-Kronecker curvature with Li-normalization in affine space. Cal. Var. PDE. 62, 4 (2023). published, arXiv.
Poles of cubic differentials and ends of convex RP^2 surfaces. J. Differential Geom., 123 (1) 67 - 140 (2023). published, arXiv.
(with Yunhui Wu and Yuhao Xue) Large genus asymptotics for lengths of separating closed geodesics on random surfaces. J. Topology, 16: 106-175 (2023). published, arXiv.
(with Andrea Seppi) Regular domains and surfaces of constant Gaussian curvature in three-dimensional affine space. Analysis & PDE., Vol. 15 (2022), No. 3, 643–697. published, arXiv.
Limit polygons of convex domains in the projective plane. Int. Math. Res. Not., Vol. 7 (2022), 5398–5424. published, arXiv.
Entropy degeneration of convex projective surfaces. Conform. Geom. Dyn., Vol. 19 (2015), 318–322. published, arXiv.
On the Hilbert geometry of simplicial Tits sets. Ann. Inst. Fourier, Vol 65 No.3 (2015) 1005-1030. published, arXiv.
The quasi-Poisson Goldman formula. J. Geom. Phys., Vol 74 (2013) 1-17. published, arXiv.
Last update: 2024-4-6