Yu Li

yuli21@ustc.edu.cn

Education

2012-2017 Ph.D. in Math, University of Wisconsin-Madison

2008-2012 Bachelor's Degree in Math, Nankai University

Experience

2023-Present Junoir Researcher, Hefei National Laboratory

2021-Present Assistant professor, University of Science and Technology of China

2019-2021 Postdoc, State University of New York at Stony Brook   

Overview of Academic Research

Research interests lie in geometric analysis and partial differential equations, with a focus on geometric flows such as the Ricci flow and mean curvature flow. Major research achievements include:

1.A complete classification of Kähler-Ricci shrinking solitons on complex surfaces.

2.The development of a weak compactness theory, rigidity results, and structural theorems for the moduli space of Ricci shrinkers.

3.A complete classification of κ-ancient solutions to the Kähler-Ricci flow with nonnegative holomorphic bisectional curvature in general dimensions.

The results have been published in Acta Mathematica, Journal of Differential Geometry, Geometry & Topology, and other leading journals.

Representative Publications

1.Y. Li, B. Wang, On Kähler Ricci shrinker surfaces, to appear in Acta Mathematica.

2.Y. Li, B. Wang, Rigidity of the round cylinders in Ricci shrinkers, Journal of Differential Geometry, Vol. 127, No. 2 (2024), pp. 817-897.

3.Y. Li, Ancient solutions to the Kähler Ricci flow, Geometry & Topology 28 (2024), no. 7, 3257-3283.

4.H. Li, Y. Li, B. Wang, On the structure of Ricci shrinkers, Journal of Functional Analysis, Volume 280, Issue 9, 1 May 2021, 108955.

5.Y. Li, Ricci flow on asymptotically Euclidean manifolds, Geometry & Topology 22 (2018), no. 3, 1837-1891.