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Haifeng Xu

Name

Haifeng

 

Research Interests

Riemannian geometry, Metric geometry

 

Education

1997.9—2001.6, Graduate from Nanjing University, Bachelor Degree

2001.9—2004.6, Graduate from Nanjing University, Master Degree, Advisor: Prof. Hongyu Wang, Prof. Jiaqiang Mei.

2004.9—2010.6, Yangzhou University, Ph.D Advisor: Prof. Hongyu Wang, Prof. Jiaqiang Mei.

 

Working Experience

2010.7 – Now,  School of Mathematical Sciences, Lecturer

 

Teaching

Undergraduate course:

Calculus, Linear Algebra, Data structure, Database and its application, Mathematical modeling

 

Graduate Course:

Topology, Algebraic topology, Riemannian Geometry, Geometry

 

Research Projects

 

(1) Tianyuan Fund(11126046): The research of the relationship between the minimal volume of manifolds and Gromov volume, 2012.1—2012.12.

(2) The University Science Research Project of Jiangsu Province(14KJB110027): The research of the relationship between the minimal volume of manifolds and Gromov volume, 2014.8—2016.12.

(3) Foundation of Yangzhou University: The research of the relationship between the minimal volume of manifolds and Gromov volume (2013CXJ006, 2014CXJ004, 2015CXJ004).

 

 

Publications

[1] Haifeng Xu, An equation about sum of primes with digital sum constraints, arXiv:1705.08232.

[2] Haifeng Xu, The largest cycles consist by the quadratic residues and Fermat primes, arXiv: 1601.06509.

[3] Haifeng Xu, An alternative proof of the Dirichlet prime number theorem, arXiv:1511.03811.

[4] Haifeng Xu, Zuyi Zhang and Jiuru Zhou, Periodicity related to a sieve method of producing primes, arXiv: 1406.0429. (College Mathematics)2015316):69 ~ 76.

[5] Qiang Tan, Haifeng Xu, Lefschetz decomposition for de Rham cohomology on weakly Lefschetz symplectic manifolds Frontiers of Mathematics in China 2015; 10(5): 1169—1178.

[6] Haifeng Xu and Jiuru Zhou, The connection between the Basel problem and a special integral, arXiv: 1307.8278. Applied Mathematics, 2014, 5: 2570-2584. DOI: 10.4236/am.2014.516246.

[7] Jiaqiang Mei and Haifeng Xu, Note on the Hölder norm estimate of the function x sin(1/x). arXiv:1407.6871v1.

[8] Haifeng Xu, Binxian Yuan, Zuyi Zhang, Jiuru Zhou,The limit of the m-norms of a class of symmetric matrices and its applications.  arXiv:1405.3649v2

[9] Qiang Tan and Haifeng XuA note on Donaldson's “tamed to compatible” questionCommunications in Mathematical Research, 30(2)(2014), 179--182.

[10] Ling Zhou, Haifeng Xu*, Zuhan Liu, Asymptotic behavior of critical points for a Gross-Pitaevskii energy, Nonlinear Analysis, 74, pp.4274--4291, 2011.

[11] 徐海峰,方程Δg-aKg=0 无正函数解的充分条件,数学学报中文版,第5卷,第53期,945-952页,2010.

[12] H. Wang and H. Xu, Minimal volume of the connected sum of Euclidean spaces, Differential Geometry - Dynamical Systems, 11 (2009),  185--194.

[13] J. Mei, H. Wang and H. Xu, An elementary proof of MinVol(Rn)=0 for n>=3, An. Acad. Brasil. Ciênc. 80 (2008), no. 4, 597--616.

[14] H. Xu, Some remarks on the existence of the cusp metric on R3, Northeast. Math. J. 24(6) (2008), 503--510.

 

 

 

Honors and Awards

None

 

Address

Postcode: 225002

School of Mathematical Sciences,

Yangzhou University

Jiangsu Province

China

 

Email

hfxu@yzu.edu.cn


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