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 （temporary）
CV
我本科毕业于淮阴师范学院，毕业论文导师是孙智宏教授。
硕士研究生就读于徐州师范大学（江苏师范大学），导师为张运涛教授。
2011.09 - 2014.06, Tongji University, Ph. D., Majored in Pure Mathematics
(Supervisor is Prof. Shengliang Pan. In my opinion, Prof. Bendong Lou is also my advisor.)
2014.07 - 2016.07, Shanghai University, Postdoc (Advisor is Prof. Gangsong Leng.)
2016.08 - 2020.06, Jiangsu Normal University, Lecturer/Assistant Professor
2019.10 - 2021.01, UC San Diego, Visiting Scholar (Mentor is Prof. Lei Ni.)
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.
[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.
Vasyl Gorkavyy's review 2.pdf 新的进展为 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.
[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.
[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.
A list of my papers.pdf (up to 2025-09-01)
2. 学术交流
(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 curves.
(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.
3. 师大几何讲座.pdf
Teaching
1. Recent Courses
2025.09 - 2026.01, Topology （研一）, Geometic Analysis (研二), Modern Geometry (博一)
2025.02 - 2025.06, Geometry of Submanifolds (研一), Mathematical Modeling (本科生)
2. Seminars on Geometry
Year 2025, Singularity analysis of curvature flows
3. 研究生培养.pdf
注记：读几何方向研究生的同学将来会系统学习偏微分方程，Riemann 几何和拓扑学。
本科阶段没有学过微分几何的同学，需要在开学前自学一下。我的 e-mail: lygao@jsnu.edu.cn
Social Service
1. AMS Reviewer for Rev. Mat. Iberoam..pdf Trans. Amer. Math. Soc..pdf J. Reine Angew. Math..pdf ...
2. Referee for many journals...
