Wangxianfeng

1. 2011/06, PhD in Mathematics, Tsinghua University, Beijing. Supervisor: Prof. Haizhong Li.

2. 2006/07, B.S. in Mathematics, Tsinghua University, Beijing.

1. 2020/12-present, Full Professor, Nankai University, P. R. China

2. 2013/12-2020/12, Associate Professor, Nankai University, P. R. China

3. 2011/07-2013/12, Lecturer, Nankai University, P. R. China

I received my PhD in June 2011 from Tsinghua University, Beijing. I was a doctoral student of Professor Haizhong Li. My recent research interests include geometry and topology of submanifolds,rigidity of submanifolds and geometric flow of hypersurfaces.

Differential geometry and geometric analysis

Current Teachings

1. Differential Geometry, Spring 2020, Spring 2021, Spring 2022, Spring 2023

2. Complex Analysis,  Fall 2020, Fall 2021, Fall 2022

Research Grants (PI)

1. ``Curvature flows of hypersurfaces and Lagrangian submanifolds'', financed by the National Natural Science Foundation of China, 2020/01-2023/12

2. ``Self-similar solutions of Lagrangian mean curvature flow and Lagrangian submanifolds'', financed by the National Natural Science Foundation of China, 2016/01-2019/12

3. ``Variational problems of hypersurfaces and Lagrangian submanifolds'', financed by the National Natural Science Foundation of China, 2013/01-2015/12

4. `` Some classes of problems on geometry of submanifolds'', financed bythe Natural Science Foundation of Tianjin, China, 2019/04-2022/03

5. ``Eigenvalue estimates for the Jacobi operator and its applications'', financed by Specialized Research Fund for the Doctoral Program of Higher Education in China, 2013/01-2015/12

6. ``Variational problems of submanifolds and Lagrangian submanifolds'', financed by the Fundamental Research Funds for the Central Universities in China, 2011/09-2013/06

Recent papers

1. Shifted inverse curvature flows in hyperbolic space (with Yong Wei and Tailong Zhou), Calculus of Variations and Partial Differential Equations, 62 (2023), Paper No. 93, 44 pages.

2. Self-similar solutions to high order fully nonlinear curvature flows (with Shanze Gao and Haizhong Li), Journal für die reine und angewandte Mathematik (Crelles Journal), 783 (2022), 135–157.

3. Inverse curvature flows of rotation hypersurfaces(with Yuhan Jin and Yong Wei), Acta Mathematica Sinica, English Series, 37 (2021), 1692–1708.

4. Affine hypersurfaces with constant sectional curvature (with Miroslava Antić, Haizhong Li and Luc Vrancken), Pacific Journal of Mathematics, 310 (2021), no.2, 275-302.

5. Contracting Axially Symmetric Hypersurfaces by Powers of theσ_k –Curvature(with Haizhong Li and Jing Wu), The Journal of Geometric Analysis, 31 (2021), 2656-2702. 

6. Minimal Lagrangian submanifolds of the complex hyperquadric (with Haizhong Li, Hui Ma,Joeri Van der Veken and Luc Vrancken), SCIENCE CHINA Mathematics, 63 (2020),1441-1462.

7. Surfaces expanding by non-concave curvature functions (with Haizhong Li and Yong Wei), Annals of Global Analysis and Geometry, 55 (2019), no. 2, 243–279.

8. Sharp Reilly-type inequalities for a class of elliptic operators on submanifolds(with Hang Chen), Differential Geometry and its Applications, 63 (2019), 1–29.

9. Lagrangian submanifolds in the homogeneous nearly Kähler S3×S3(with Bart Dioos and Luc Vrancken), Annals of Global Analysis and Geometry, 53 (2018), no. 1, 39–66.

10. New characterizations of the Clifford torus as a Lagrangian self-shrinker(with Haizhong Li),The Journal of Geometric Analysis, 27 (2017), no. 2, 1393–1412.

11. Lagrangian submanifolds in the 6-dimensional nearly Kähler manifolds with parallel second fundamental form (with Yinshan Zhang, Bart Dioos, Zejun Hu and Luc Vrancken), Journal of Geometry and Physics,108 (2016), 21–37.

12. A new characterization of the Berger sphere in complex projective space(with Haizhong Li and Luc Vrancken),Journal of Geometry and Physics, 92 (2015), 129-139.

13. A differentiable sphere theorem for compact Lagrangian submanifolds in complex Euclidean space and complex projective space(with Haizhong Li), Communications in Analysis and Geometry, 22 (2014), no. 2, 269-288.

Links:Arxiv, MathSciNet, Google scholar profile, ORCID,ResearchGate,googlesite personal page

Academic Visit

2018/09-2019/08 The Australian National University,Australia. Host Professor: Prof. Ben Andrews

2013/02 Fukuoka University, Japan. Host Professor: Prof. Qing-Ming Cheng

2012/08 KU Leuven, Belgium. Host Professor: Prof. Franki Dillen

2012/08 University of Valenciennes, France. Host Professor: Prof. Luc Vrancken

2012/05-2012/06 Universidad de Granada, Spain. Host Professor: Prof. Francisco Urbano

2010/05-2010/06 University of Valenciennes, France. Host Professor: Prof. Luc Vrancken

2009/05-2009/06 University of Valenciennes, France. Host Professor: Prof. Luc Vrancken

2008/01 Saga University, Japan. Host Professor: Prof. Qing-Ming Cheng

2008/01 Nara Women University, Japan. Host Professor: Prof. Miyuki Koiso