傅鑫博士
Xin Fu, Ph. D.
▎数学助理教授
▎复几何
◢邮箱:fuxin54@westlake.edu.cn
踏实治学,愿与西湖大学共同成长。
个人简介
傅鑫,2014年毕业于南京大学,获数学学士学位,2020年毕业于罗格斯大学新布朗斯维克分校,获数学博士学位。2020-2023年间在加州大学尔湾分校担任访问助理教授。现已全职加入西湖大学,担任理论开云app官网下载安卓 院特聘研究员。
研究方向
傅鑫博士的研究方向是复几何,当前的研究集中于典范度量和相关的PDE。
代表论文
1.Cusp closing process of Kahler-Einstein metrics with negative scalar curvature (with Hein H-J and Jiang X.M) To appear.
2. The generalized Kahler Calabi Yau problem. (With Apostolov, V, Streets, J and Ustinovskiy Y) arxivarXiv:2211.09104
3. Asymptotics of Kähler Einstein metrics on complex hyperbolic cusps. (with Hein H-J and Jiang X.M)arxiv:2108.13390Accepted byCalculus of Variations and Partial Differential Equations
4. Uniqueness of tangent cone of Kahler Einstein metrics on singular varieties with crepant singularity arxiv:2208.05196 Accepted byMathematische Annalen
5. Codimension four regularity of generalized Einstein structure (with Naber, A and Streets, J) arxiv:2107.08108 Accepted byMathematische Annalen
6. Dirichlet problem of complex Monge-Ampère equation near an isolated KLT singularity. arxiv:2106.10389 Accepted bycommunications in contemporary mathematics
7. Kahler-Einstein metric near an isolated log canonical singularity (with Datar, V and Song, J) arXiv:2106.05486 Accepted byJ. Reine Angew. Math.
8. On the construction of a complete Kahler-Einstein metric with negative scalar curvature near an isolated log canonical singularity. (with Fang, H.L)Proc. Amer. Math. Soc.149 (2021), 3965-3976
9. Geometric estimate of Monge-Ampere equations. (with Guo, B and Song, J)J. Reine Angew. Math.765 (2020), 69-99
10. The Kahler Ricci flow on Fano bundle. (Zhang, S.J)Math. Z.286,1605–1626 (2017).
联系方式
电子邮箱:fuxin54@westlake.edu.cn