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，任职理论科学研究院特聘研究员。

学术成果及研究方向

傅鑫博士的研究方向是复几何。

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) arxiv arXiv:2211.09104

3. Asymptotics of Kähler Einstein metrics on complex hyperbolic cusps. (with Hein H-J and Jiang X.M) arxiv:2108.13390

4. Uniqueness of tangent cone of Kahler Einstein metrics on singular varieties with crepant singularity arxiv:2208.05196 Accepted by Mathematische Annalen

5. Codimension four regularity of generalized Einstein structure (with Naber, A and Streets, J) arxiv:2107.08108 Accepted by Mathematische Annalen

6. Dirichlet problem of complex Monge-Ampère equation near an isolated KLT singularity. arxiv:2106.10389 Accepted by communications in contemporary mathematics

7. Kahler-Einstein metric near an isolated log canonical singularity (with Datar, V and Song, J) arXiv:2106.05486 Accepted by J. 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).