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
flow£¬with 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 Shi£¬Commun. 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 Zheng£¬Journal of Geometric Analysis, arXiv:1501.01851
17.Complex
deformation of critical Kahler metrics£¬Journal 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