李平-基本信息

Ping Li

Professor of Mathematics

School of Mathematical Sciences

Tongji University

Shanghai, 200092, China

Email: pingliZZZ AT tongji.edu.cn

(remove three "ZZZ") 

 

个人简介
工作简历
教学状况
研究情况
论文著作
获奖情况

个人信息:

 

李平,同济大学数学科学学院教授,1982年4月生,安徽安庆人.
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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

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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

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研究兴趣:
 
流形的拓扑学
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授课信息:
 

2017秋季学期:拓扑学

2017春季学期:高等数学(B)上重修班

2016春季学期:高等数学(B)下

2015秋季学期:高等数学(B)上

2015春季学期:高等数学(B)下

2014秋季学期:高等数学(B)上

2014春季学期:微分几何,高等数学(A)上重修班

2011春季学期:高等数学(A)下

2010秋季学期:数学分析习题课(上),高等数学(A)上

2010春季学期:数学分析习题课(下),线性代数重修班

2009秋季学期:数学分析习题课(上),线性代数(A)

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主持国家自然科学基金项目:
 

[1]. 优秀青年科学基金项目“流形的拓扑学”

(Grant No. 11722109), 2018/01-2020/12.

 

[2]. 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.

 

[3]. 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.

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预印本/Preprints:

 

[1]. Spectral rigidity of complex projective spaces, revisited.

 

[2]. Nonnegative Hermitian holomorphic vector bundles and Chern numbers.

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发表论文/Published articles:

 

[01]. The Hirzebruch $\chi_y$-genus and Poincare polynomial revisited, Communications in Contemporary Mathematics, 2017

 

[02]. Some remarks on the uniqueness of the complex projective spaces, Bulletin of the London Mathematical Society, 2016.

 

[03]. A characterization of the $\hat{A}$-genus as a linear combination of Pontrjagin numbers, Archiv der Mathematik, 2016.

 

[04]. Cauchy-Schwarz-type inequalities on Kahler manifolds-II, Journal of Geometry and Physics, 2016.

 

[05]. Eigenvalues of vector fields, Bott's residue formula and integral invariants, Differential Geometry and its Applications, 2016.

 

[06]. An integral inequality for constant scalar curvature metrics on Kahler manifolds, Advances in Mathematics, 2016.

 

[07]. Circle action with prescribed number of fixed points, Acta Mathematica Sinica (English Series), 2015.

 

[08]. -1-Phenomena for the pluri $\chi_y$-genus and elliptic genus, Pacific Journal of Mathematics, 2015

 

[09]. On the vanishing of characteristic numbers, Homology, Homotopy and Applications, 2014.

 

[10]. A gap theorem of Kahler manifolds with vanishing odd Betti numbers, Differential Geometry and its Applications, 2013.

 

[11]. Poincare polynomial and SL(2,C)-representation on Kahler manifolds, Archiv der Mathematik, 2013.

 

[12]. An application of the rigidity of Dolbeault-type operators, Mathematical Research Letters, 2013.

 

[13]. Remarks on Bott residue formula and Futaki-Morita integral invariants, Topology and its Applications, 2013.

 

[14]. Cauchy-Schwarz-type inequalities on Kahler manifolds, Journal of Geometry and Physics, 2013.

 

[15]. (with Kefeng Liu) On an algebraic formula and applications to group action on manifolds, Asian Journal of Mathematics, 2013.

 

[16]. Circle action, lower bounds of fixed points and characteristic numbers, Journal of Fixed Point Theory and Applications, 2012.

 

[17]. The rigidity of Dolbeault-type operators and symplectic circle actions, Proceedings of the American Mathematical Society, 2012.

 

[18].  (with Kefeng Liu) Circle action and some vanishing results on manifolds, International Journal of Mathematics, 2011.

 

[19]. (with Kefeng Liu) Some remarks on circle action on manifolds, Mathematical Research Letters, 2011.

 

[20]. Chern numbers and the indices of some elliptic differential operatorsPacific Journal of Mathematics, 2011.

 

[21]. (with Yang Su) The signature of generalized flag maniflds and applications, Acta Mathematica Sinica (English Series), 2010.

 

 

 

 

 

 

 

 

 

 

 

 

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