Laiyuan Gao （or Lai-Yuan Gao, in Chinese 高来源）  

Research interest: differential geometry and geometric analysis

Office: Room 208 of the 21st Century Building

我主要研究几何分析，即使用偏微分方程研究微分几何。

对微分几何感兴趣，想读研究生的同学，可以通过邮件联系，共同学习进步。lygao@jsnu.edu.cn

CV

2011.09 - 2014.06, Tongji University, Ph. D., Majored in Pure Mathematics

2014.07 - 2016.07, Shanghai University, Postdoc

2016.08 - 2020.06, Jiangsu Normal University, Lecturer/Assistant Professor,

2019.10 - 2021.01, UC San Diego, Visiting Scholar

2020.07 - present,  Jiangsu Normal University, Associate Professor

Scientific Research

1. Selected Papers

[5] Gao, L. Whitney-Graustein homotopy of locally convex curves via a curvature flow, Math. Res. Lett. 30 (2023), no. 4, 1045–1062.   （本文对局部凸曲线的情形解决了 Yau 提出的曲率流公开问题。Paul Bryan's review.pdf）

[4] Gao, L.; Pan, S. Star-shaped centrosymmetric curves under Gage's area-preserving flow. J. Geom. Anal. 33 (2023), no. 11, Article No. 348.（本文尝试解决如下的 folklore conjecture：简单闭星形曲线的 Gage 保面积流全局存在。Vasyl Gorkavyy's review 2.pdf 此问题最新的进展为我们的结果 arXiv:2412.18102） 

[3] Gao, L.; Pan, S.; Tsai, D.-Ho On an area-preserving inverse curvature flow of convex closed plane curves, J. Funct. Anal.  280  (2021),  no. 8, Paper No. 108931.  （本文解决了Kappa^（- alpha）型保面积流的收敛性问题。）

[2] Gao, L.; Zhang, Y. On Yau's problem of evolving one curve to another: convex case. J. Differential Equations, no. 1, 266 (2019), 179–201.  （本文对凸曲线的情形解决了 Yau 提出的曲率流公开问题。Vasyl Gorkavyy's review 1.pdf）

[1] Gao, L.; Pan, S. Gage's original normalized CSF can also yield the Grayson theorem. Asian J. Math. 20 (2016), no. 4, 785–794.  （本文给出 Gage-Hamilton-Grayson 定理的新证明。）

A list of my papers.txt   A list of my papers-2.txt   (up to 2025-01-01)

2. Fundation

2019-2021, NSFC-11801230

2015-2016, CPSF-2015M571537

Teaching

1. Recent Courses

2025.02 - 2025.06,  Geometry of Submanifolds (研一), Mathematical Modeling (本科生)

2024.09 - 2025.01,  Geometic Analysis (研二), Theory of Curvature Flows (研二)

2. Seminars on Geometry （每周日有一整天的讨论）

Year 2024,  Hamilton's invention of his Ricci flow  notes.pdf

Year 2025,  Singularity analysis of curvature flows 

Social Service

1. AMS Reviewer

2. Referee for many journals...

Links 

Arxiv （数学论文预印本网站）

mathscinet （数学论文检索）