个人简介
教育经历 2009.9 - 2013.6:南京大学,本科毕业,获学士学位。 2013.9 - 2018.9:南京大学,研究生毕业,获博士学位。 2017.9 - 2018.8:美国加利福尼亚大学圣克鲁斯分校,进修或培训。 工作经历 2018.10 - 2020.9:北京大学北京国际数学研究中心,担任博士后。 2020.9 - 2023.12:华中科技大学数学与统计学院,担任讲师。 2024.1 - 至今:华中科技大学数学与统计学院,担任副教授。
研究领域
共形几何 几何分析
近期论文
[1] The lower bound of first Dirichlet eigenvalue of p-Laplacian in Riemannian manifolds.arXiv:2405.02669, [2] Willmore-type inequality for closed hypersurfaces in complete manifolds with Ricci curvature bounded below.arXiv:2402.02465, [3] Asymptotic behavior of the first Dirichlet eigenvalue of AHE manifolds.Bulletin of the London Mathematical Society,2024,(6):2024-2035 [4] Rigidity for inscribed radius estimate of asymptotically hyperbolic Einstein manifold.Proceedings of the American Mathematical Society,2024, [5] Xiaoshang Jin,The relative volume function and the capacity of sphere on asymptotically hyperbolic manifolds.Acta Mathematica Scientia, [6] Xiaoshang Jin,Boundary Estimate of Asymptotically Hyperbolic Einstein Manifolds of Even Dimension.arXiv:2110.09830, [7] Sun-Yung A. Chang,Xiaoshang Jin,Jie Qing.Yuxin Ge.Perturbation compactness and uniqueness for a class of conformally compact Einstein manifolds.Advanced Nonlinear Studies,2024, [8] Xiaoshang Jin,Finite Boundary Regularity for Conformally Compact Einstein Manifolds of Dimension 4.[J].JOURNAL OF GEOMETRIC ANALYSIS,2020, [9] Xiaoshang Jin,Boundary regularity for asymptotically hyperbolic metrics with smooth Weyl curvature.PACIFIC JOURNAL OF MATHEMATICS,2019,(2):467–487 [10] Xiaoshang Jin,An extension of Weyl Schouten Theorem for Lipschitz and H^2 manifolds.[J].Acta Mathematica Sinica,English Series,2017,(7):926-932