师资队伍

基本信息

姓名:李平

部门:分析与几何

职称:教授

E-mail:pingliZZZ@tongjiZZZ.eduZZZ.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:

预印本/Preprints:

[04]. Kaehler hyperbolic manifolds and Chern number inequalities

[03]. On the spectral rigidity of Einstein-type Kaehler manifolds.

[02]. The Alexandrov-Fenchel type inequalities, revisited.

[01]. Nonnegative Hermitian vector bundles and Chern numbers.

发表论文/Published articles:

[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. 11722109), 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. 11471247), 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. 11101308), 2012/01-2014/12.

授课情况:

2017秋:拓扑学

2017春:高等数学(B)上重修班

2016春:高等数学(B)下

2015秋:高等数学(B)上

2015春:高等数学(B)下

2014秋:高等数学(B)上

2014春:微分几何,高等数学(A)上重修班

2011春:高等数学(A)下

2010秋:数学分析习题课(上),高等数学(A)上

2010春:数学分析习题课(下),线性代数重修班

2009秋:数学分析习题课(上),线性代数(A)

联系我们

    电话:86-21-65981384

    地址:上海市四平路1239号 致远楼

Copyright © 2018  同济大学数学科学学院 版权所有.