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郑涛

个人简介


Personal Information

Name:  Tao Zheng (郑涛)

Born:  January 1986, Henan, China

Email:  6120180144@bit.edu.cn;   zhengtao08@amss.ac.cn  

Institute:  School of Mathematics and Statistics, Beijing Institute of Technology (BIT), 102400, China

Address: No.5 Zhongguancun South Street, Haidian District, Beijing, China


Research Interests

Differential Geometry, Complex Geometry, Complex Monge-Ampѐre Equations


Education

►09/2008--07/2013, Ph.D. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences (Doctor of Natural Science awarded by University of Chinese Academy of Sciences). Supervisor: Prof. Hongcang Yang. Major: Fundamental Mathematics. Ph.D thesis title: Some Questions about Eigenvalue Inequalities on Riemannian Manifolds.

►09/2004--07/2008, B.Sc. Shandong University, China. Major: Pure and Applied Mathematics.


Employment

►09/2018--Present, Assistant Professor, School of Mathematics and Statistics, Beijing Institute of Technology

►09/2016--08/2018, Post-Doc, Institut Fourier, Université Grenoble Alpes. Mentored by Prof. Jean-Pierre Demailly

►09/2013--07/2016, Post-Doc, School of Mathematics and Statistics, Beijing Institute of Technology. Mentored by Prof. Huafei Sun


Visiting Positions

09/2014--09/2015, Visiting Post-Doc, Mathematics Department, Northwestern University, 2033 Sheridan Road, Evanston, Illinois 60208, USA. Mentored by Prof. Valentino Tosatti

07/2019--09/2019, Visiting Scholar, Graduate School of Mathematical Sciences, The University of Tokyo, Japan. Hosted by Prof. Kengo Hirachi


Teachings

►2019-2020学年第一学期:数学分析,精工书院


Publications

[15] Chang Li, Tao Zheng. The Dirichlet problem on almost Hermitian manifolds. accepted by The Journal of Geometric Analysis.

[14] Ke Feng, Tao Zheng. Transverse fully nonlinear equations on Sasakian manifolds and applications. Advances in Mathematics 357 (2019) 106830. 

[13] Tao Zheng. A parabolic Monge-Ampѐre type equation of Gauduchon metrics. International Mathematics Research Notice. IMRN 2019 (2019), No. 17, 5497-5538.

[12] Tao Zheng. An almost complex Chern-Ricci flow. The Journal of Geometric Analysis 28 (2018), no. 3, 2129-2165.

[11] Shouwen Fang, Tao Zheng. Isoperimetric inequalities along the twisted Kähler-Ricci flow. Differential Geometry and its Applications 56 (2018), 54-66.

[10] Hai Lin, Tao Zheng. Higher dimensional generalizations of twistor spaces. Journal of Geometry and Physics 114 (2017), 492-505.

[9] Tao Zheng. The Chern-Ricci flow on Oeljeklaus-Toma manifolds. Canadian Journal of Mathematics 69 (2017), no. 1, 220-240.

[8] Shouwen Fang, Valentino Tosatti, Ben Weinkove, Tao Zheng. Inoue surfaces and the Chern-Ricci flow. Journal of Functional Analysis 271 (2016), no.11, 3162-3185.

[7] Shouwen Fang, Tao Zheng. An upper bound of the heat kernel along the harmonic-Ricci flow. Manuscripta Mathematica 151 (2016), no. 1-2, 1-18.

[6] Daguang Chen, Tao Zheng, Hongcang Yang. Estimates of the gaps between consecutive eigenvalues of Laplacian. Pacific Journal of Mathematics 282 (2016), no. 2, 293-311.

[5] Shouwen Fang, Tao Zheng. The (logarithmic) Sobolev inequalities along geometric flow and applications. Journal of Mathematical Analysis and Applications 434 (2016), no. 1, 729-764.

[4] Tao Zheng. Estimate of eigenvalues of a Clamped problem. Kodai Mathematical Journal  38 (2015), no. 2, 249-269.

[3] Tao Zheng, Daguang Chen, Min Cai. Eigenvalue estimates on domains of the polydisc.  International Journal of Mathematics 23 (2012), no. 1, 1250014, 15pp.

[2] Daguang Chen, Tao Zheng, Min Lu. Eigenvalue estimates on domains in complete noncompact Riemannian manifolds. Pacific Journal of Mathematics 255 (2012), no. 1, 41-54.

[1] Daguang Chen, Tao Zheng. Bounds for ratios of the membrane eigenvalues. Journal Differential Equations 250 (2011), no. 3, 1575-1590.


Grants

► 09/2018--present, Beijing Institute of Technology Research Fund Program for Young Scholars, Principal Investigator

► 07/2015--07/2016, China Postdoctoral Science Foundation funded project (special) grant (Grant No. 2015T80040), Principal Investigator

► 01/2015--12/2018, National Natural Science Foundation of China grant (Grant No. 11471180), Participant

► 01/2015--12/2017, National Natural Science Foundation of China grant (Grant No. 11401023), Principal Investigator

► 01/2015--12/2015, Fundamental Fund of Beijing Institute of Technology grant (Grant No. 20141742002), Principal Investigator

► 04/2014--09/2015, China Postdoctoral Science Foundation funded project (general) grant (Grant No. 2014M550620), Principal Investigator

► 01/2014--12/2014, Fundamental Fund of Beijing Institute of Technology grant (Grant No. 20131742009), Principal Investigator