基本信息姓名：李平
部门：分析与几何
职称：教授
E-mail：pingliREMOVE@tongji.edu.cn


研究方向： 流形的拓扑学
教育背景： 2004/09-2009/07 理学博士 北京大学
2000/09-2004/06 理学学士 武汉大学
工作经历： 2015/12-至今 同济大学数学科学学院 教授
2013/10-2015/12同济大学数学科学学院 副教授
2011/10-2013/10 日本学术振兴会(JSPS) 博士后
2009/07-2011/10 同济大学数学科学学院 讲师
论文与出版物： Preprints:
[04].（with F. Zheng）Chern class inequalities on polarized manifolds and nef vector bundles.
[03]. On some applications of Gauduchon metrics.
[02]. On the spectral rigidity of Einstein-type Kaehler manifolds.
[01]. The Alexandrov-Fenchel type inequalities, revisited.
Published articles:
[25]. Nonnegative Hermitian vector bundles and Chern numbers，Mathematische Annalen, 2020.
[24]. The rigidity on the second fundamental form of projective manifolds, Manuscripta Mathematica, 2020.
[23]. Kaehler hyperbolic manifolds and Chern number inequalities, Transactions of the American Mathematical Society, 2019.
[22]. The spectral rigidity of complex projective spaces, revisited, Mathematische Zeitschrift, 2018.
[21]. The Hirzebruch $/chi_y$-genus and Poincare polynomial revisited, Communications in Contemporary Mathematics, 2017.
[20]. Some remarks on the uniqueness of the complex projective spaces, Bulletin of the London Mathematical Society, 2016.
[19]. A characterization of the $/hat{A}$-genus as a linear combination of Pontrjagin numbers, Archiv der Mathematik, 2016.
[18]. Cauchy-Schwarz-type inequalities on Kaehler manifolds-II, Journal of Geometry and Physics,2016.
[17]. Eigenvalues of vector fields, Bott's residue formula and integral invariants, Differential Geometry and its Applications, 2016.
[16]. An integral inequality for constant scalar curvature metrics on Kaehler manifolds, Advances in Mathematics, 2016.
[15]. Circle action with prescribed number of fixed points, Acta Mathematica Sinica (English Series),2015.
[14]. -1-Phenomena for the pluri $/chi_y$-genus and elliptic genus, Pacific Journal of Mathematics, 2015
[13]. On the vanishing of characteristic numbers, Homology, Homotopy and Applications,2014.
[12]. A gap theorem of Kaehler manifolds with vanishing odd Betti numbers, Differential Geometry and its Applications, 2013.
[11]. An application of the rigidity of Dolbeault-type operators, Mathematical Research Letters, 2013.
[10]. Remarks on Bott residue formula and Futaki-Morita integral invariants, Topology and its Applications, 2013.
[09]. Poincare polynomial and SL(2,C)-representation on Kaehler manifolds, Archiv der Mathematik, 2013.
[08]. Cauchy-Schwarz-type inequalities on Kaehler manifolds, Journal of Geometry and Physics, 2013.
[07]. (with K. Liu)On an algebraic formula and applications to group action on manifolds, Asian Journal of Mathematics, 2013.
[06]. Circle action, lower bounds of fixed points and characteristic numbers, Journal of Fixed Point Theory and Applications, 2012.
[05]. The rigidity of Dolbeault-type operators and symplectic circle actions, Proceedings of the American Mathematical Society, 2012.
[04]. (with K. Liu) Circle action and some vanishing results on manifolds, International Journal of Mathematics,2011.
[03]. (with K. Liu) Some remarks on circle action on manifolds, Mathematical Research Letters,2011.
[02]. Chern numbers and the indices of some elliptic differential operators, Pacific Journal of Mathematics, 2011.
[01]. (with Y. Su) The signature of generalized flag maniflds and applications, Acta Mathematica Sinica (English Series), 2010.
科研项目： [03]. 优秀青年科学基金项目“流形的拓扑学”（Grant No. **）, 2018/01-2020/12.
[02]. 面上项目“黎曼面上与稳定向量丛相关的若干几何拓扑性质的研究”（Grant No. **）, 2015/01-2018/12.
[01]. 青年科学基金项目“指标理论和局部化公式在几何与拓扑中的一些应用”（Grant No. **）, 2012/01-2014/12.