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FAN Huijun
Professor
fanhj@math.pku.edu.cn
Phone :86-10-62767715
Office :1524E

Education

Ph. D  Mathematics Department ,Peking University, 1998.

M. SC. Mathematics Department, Jilin University,   1994.

B. S.   Physics Department ,Huazhong University of Science and Technology, 1991.

Research Interests

1. Geometric Analysis, including Harmonic maps, Harmonic functions on nonpositive curved manifold, etc.

2. Morse theory, Conley index theory, Novikov theory (multivalued functional) and nonlinear functional theory.

3. Symplectic geometry, and the mathemtics related to string theory. For exampke, Gromov-Witten theory, Floer theory, singularity theory, Calabi-Yau manifolds, Mirror symmetry and related topics.

4. Mathematical physics. Such as Supersymmetry, quantum field theory and string theory (including D-brane theory and duality theory).

5. Partial Differential equations

6. L^2 cohomology and Torsion invariants

Selected Publications

1. H. Fan, T. Jarvis, Y. Ruan: The Witten equation, mirror symmetry, and quantum singularity theory. Ann. of Math. (2) 178 (2013), no. 1, 1–106.


2. H. Fan, T. Jarvis, Y. Ruan: Quantum singularity theory for A(r−1) and r-spin theory. Ann. Inst. Fourier (Grenoble) 61 (2011), no. 7, 2781–2802.


3. H. Fan, T. Jarvis, Y. Ruan:  Geometry and analysis of spin equations. Comm. Pure Appl. Math. 61 (2008), no. 6, 745–788. 


4. J. Cao, H. Fan, F. Ledrappier: Martin points on open manifolds of non-positive curvature, Trans. Amer. Math. Soc. 359 (2007), no. 12, 5697–5723. 


5. H. Fan, J. Jost: Conley index theory and Novikov-Morse theory. Pure Appl. Math. Q. 1 (2005), no. 4, Special Issue: In memory of Armand Borel. Part 3, 939–971.