Haozhao Li

Professor

University of Science and Technology of China

Hefei, Anhui Province, China

hzli at ustc.edu.cn

Education:

1999-2003 B.S., Mathematics, Wuhan University

2003-2007 Ph.D.,Mathematics, Peking University


Research Interests:

Geometric analysis (Kahler geometry, geometric evolution equations)

 


Publications:

1.  A new formula for the energy functionals E_k and its applications,  Int. Math. Res. Not., 2007  arXiv:math/0609724

2.  On the lower bound of the K energy and F functional, Osaka J. Math. 2008  arXiv:math/0609725

3.  On the Kahler Ricci flow on manifolds with 2-positive traceless bisectional curvature,  with X. X. Chen,   Chin. Ann. Math. Ser B. 2008

4.  Kahler-Ricci flow with small initial energy, with X. X. Chen and B. Wang, Geom. Funct. Anal., 2009.  arXiv:math/0609694

5.  Gap theorems for Kahler Ricci solitons, Arch. Math. 2008.  arXiv:0906.5517

6.  Stability of the volume preserving mean curvature flow in the Euclidean spaces, Pacific Journal of Mathematics, 2009.

7.  Stability of Kahler-Ricci flow, with X. X. Chen, Journal of Geometric Analysis, 2010 arXiv:0801.3086

8.  On stability of the hyperbolic space form under the normalized Ricci flow, with Hao Yin, Int. Math. Res. Not.  arXiv:0906.5529

9.  Convergence of Lagrangian mean curvature flow in Kahler-Einstein manifolds, Math. Z.2012  arXiv:0906.5527

10.Extremal Kahler metrics and energy functionals on projective bundles, AGAG, 2012  arXiv:1107.5237

11.The Futaki invariant on the blowup of Kahler surfaces,  with Yalong Shi, Int. Math. Res. Not. 2015  arXiv:1211.2954

12.Kahler non-collapsing, eigenvalues and the Calabi flowwith Kai Zheng, Journal of Functional Analysis, 2014  arXiv:1309.4304

13.A criterion for the properness of the K-energy in a general Kahler class, with Yalong Shi and Yi Yao,  Math. Ann., 2015  arXiv:1311.1032

14.A criterion for the properness of the K-energy in a general Kahler class (II), with Yalong ShiCommun. Contemp. Math.,2016  arXiv:1501.01516

15.Existence of minimal surfaces of arbitrary large Morse index, with Xin Zhou, 2016,   Calculus of Variations and PDE arXiv:1504.00970

16.Regularity scales and convergence of the Calabi flow, with Bing Wang and Kai ZhengJournal of Geometric Analysis,  arXiv:1501.01851

17.Complex deformation of critical Kahler metricsJournal of Mathematical Study 2017 arXiv:1206.0912

18.The extension problem of the mean curvature flow (I), with Bing Wang, Inventiones mathematicae,  2019,  arXiv:1608.02832

19.On the structure of Ricci shrinkers, with Yu Li and Bing Wang, Journal of Functional Analysis,  2021, arXiv:1809.04049

20.On Ilmanen's multiplicity-one conjecture for mean curvature flow with type-I mean curvature,   with Bing Wang, 2021, Journal of the European Mathematical Society arXiv:1811.08654


 

Updated: March, 2021