Laiyuan Gao （or Lai-Yuan Gao, in Chinese 高来源）
Ph D of Tongji University
Associate Professor
Research interest: differential geometry and geometric analysis
Office: Room 208 of the 21st Century Building, Quanshan Campus （temporary）
Room 520 of the 6th Building, Yunlong Campus （may be also temporary）
Scientific Research
1. Selected papers
[5] Gao, Laiyuan; Zhang, Yuntao; Zhang, Shicheng Star-shaped Curves under Gage's Area-preserving Flow and the CSF. arXiv:2412.18102
本文证实了如下的 folklore conjecture: 以嵌入的星形闭曲线为初值的 Gage 保面积流全局存在。
[4] Gao, Laiyuan; Wang, Zheqi Evolving an immersed star-shaped curve to another one with same winding number. J. Differential Equations Vol. 424 (2025), 421–437.
本文对浸入的闭星形曲线研究了 Yau 的曲率流问题。
[3] Gao, Laiyuan 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 的曲率流问题。
Paul Bryan 的评价.pdf
[2] Gao, Laiyuan; Pan, Shengliang Star-shaped centrosymmetric curves under Gage's area-preserving flow. J. Geom. Anal. 33 (2023), no. 11, Article No. 348, 25 pages.
本文证明了中心对称的嵌入星形闭曲线在 Gage 保面积流之下全局存在。Vasyl Gorkavyy 的评价.pdf
[1] Gao, Laiyuan; Pan, Shengliang; Tsai, Dong-Ho On an area-preserving inverse curvature flow of convex closed plane curves. J. Funct. Anal. 280 (2021), no. 8, Paper No. 108931, 31 pages
2. A list of my papers.pdf (up to 2026-01-01)
3. Some talks
(3) Seminar on Geometric Analysis and Its Applications, 上海，SIMIS (上海数学与交叉学科研究院)，2025.06.19
报告题目：The CSF and Gage's area-preserving flow of star-shaped curve
(2) 2023年几何与分析青年学者研讨会, 东南大学丘成桐中心，三亚，2023.04.21-2023.04.23
报告题目：On the generalized length-preserving or area-preserving flow of convex curves.
(1) ICCM 2022 (第九届世界华人数学家大会), 清华大学、东南大学，南京，2022.07.31-2022.08.06
报告题目：Some results on Yau's problem of the curve flow.
4. Others' lectures at JSNU
Teaching
1. Recent courses
2026.03 - 2026.06 Mathematical Modeling, Theory of Curvature Flows
2025.09 - 2026.01, Topology, Geometic Analysis, Modern Geometry
2. My books
[2] Basic Theory of the CSF.pdf
[1] A Concise Course of Calculus.pdf
3. 研究生培养.pdf
我的 e-mail: lygao@jsnu.edu.cn
Social Service
1. AMS Reviewer
2. Referee for many journals, such as JDG,...
