Email: yonglin@tsinghua.edu.cn

个人主页:http://ymsc.tsinghua.edu.cn/cn/content/show/168-139.html

教育背景

博士(芬兰于韦斯屈莱大学,1997年)、教授(博导)

工作履历

2019.01–现在,清华大学丘成桐数学中心/数学系,教授

1998.05–2018.12,中国人民大学,教授

2014.09–2015.07,美国哈佛大学,博士后

1988.07–1994.08,福建师范大学,讲师

 

研究领域

图上的几何和分析

 

学术成果

研究方向是图等离散对象上的几何、分析和拓扑,包括“图上的几何分析”,“图上的代数拓扑”和“图上的偏微分方程”等。

代表性论文如下:

[1] Yong Lin and Shing-Tung Yau, Ricci curvature and eigenvalue estimate on locally finite graphs, Mathematical Research Letter, Vol.17, No.2, 345-358, 2010.

[2] Yong Lin, Gapor Lippner, Shing-Tung Yau, Quantum tunneling on graphs, Communications in Mathematical Physics, Vol.311, no. 1, 113-132, 2012.

[3] Frank Bauer, Paul Horn, Yong Lin, Gabor Lippner, Dan Mangoubi, Shing-Tung Yau, Li-Yau inequality on graphs,  Journal of Differential Geometry, 99, 359-405, 2015.

[4] Alexander Grigor'yan, Yong Lin, Yuri Muranov, Shing-Tung Yau, Cohomology of digraphs and (undirected) graphs,  Asian Journal of Mathematics, Volume19, Number5, 2015.

[5] Alexander Grigor'yan, Yong Lin, Yun Yan Yang, Kazdan-Warner equation on graph, Calculus of Variations and Partial Differential Equations, Volume 55, Number 4, 2016.

[6] Bobo Hua, Yong Lin, Yong, Stochastic completeness for graphs with curvature dimension conditions, Advances in Mathematics, 306, 279–302, 2017.

[7] Pual Horn, Yong Lin, Shuang Liu, Shing-Tung Yau, Volume doubling, Poincar\'{e} inequality and Guassian heat kernel estimate for nonnegative curvature graphs, Journal für die reine und angewandte Mathematik(Crelle's journal), DOI: 10.1515/crelle-2017-0038.

[8] Chao Gong, Yong Lin, Shuang Liu, Shing-Tung Yau, Li-Yau inequality for unbounded Laplacian on graphs,  to appear in Advances in Mathematics.

 

人才培养

指导博士生15名(其中已毕业11名)