Academician

Professor Fuquan Fang

  • 所在部门(Department):

  • Department of Mathematics

  • 研究方向(Research direction):

  • Algebraic and Geometric Topology
    Differential Geometry

  • Email:

  • fuquan_fang AT yahoo.com

RESEARCH INSTERESTS:

Algebraic and Geometric Topology, Differential Geometry

EDUCATION

1988-1991 Ph.D in Mathematics, Department of Mathematics

Jilin University

1983-1986 Bachelor of Science, Department of Mathematics

Huazhong University of Science and Technology

POSITIONS HELD:

2005.9– Distinguished Professor of Beijing City, Capital Normal University, China

2003.1-2003.12 Chair Professor, Univ. Federal Fluminense, Rio de Janeiro, Brasil

2000.8- 2005.8 Chang-Jiang Scholar Professor, Chern Inst. of Math., China

1997.11-2000.8 Professor, Chern Inst. of Math., China

1994.5-1997.10 Associate Professor, Chern Inst. of Math., China

1993.5-1994.4 Research Fellow, Mainz Universit¨at, Germany

1991.7-1993.4 Research Fellow, Chern Inst. of Math., China

VISITING POSITIONS HELD:

2019/04, Visiting Professor, University of Notre Dame, U.S.A

2018/08, Visiting Professor, University of Notre Dame, U.S.A

2015/09, Visiting Professor, University of Notre Dame, U.S.A

2014/10, Visiting Professor, University of Notre Dame, U.S.A

2010/09-10, Visiting Professor, University of Notre Dame, U.S.A

2009/08-11, Visiting Member, Max-Planck Institut f¨ur Mathematik, Germany

2006/10, Visiting Professor, Indiana University, U.S.A

2005/10-11, Visiting Member, Institut des Hautes `Etudes Scientifiques, France

2005/01-08, Visiting Member, Max-Planck Institut f¨ur Mathematik, Germany

1999-2002, Visiting Professor, Univ. Federal Fluminense, Brasil

1999/10, Visiting Member, Courant Inst. of Math., New York University.

1996-1997, Visiting Member, Institut des Hautes `Etudes Scientifiques, France

1997/01-03, Visiting Member, M.S.R.I., Berkeley.

1996/01, Visiting Member, Newton Inst. Math., Cambridge

1996/09, Visiting Professor, Univ. of Sydney, Australia

1996/01-06, Visiting Member, Max-Planck Institut f¨ur Mathematik, Germany

1995/10-12, Visiting Professor, Univ. Bielefeld, Germany

1994/10-12, Visiting Professor, Univ. Bielefeld, Germany

AWARDS, GRANTS AND FELLOWSHIPS:

2019 Science Fund for Creative Research Groups of the National Natural Science Foundation of China

2018 Fellow of The World Academy of Sciences for the advancement of science in developing countries

2017 Academician of Chinese Academy of Sciences

2014 National Award in Natural Science of China (Second-award)

2011 Innovative Research Team of Ministry of Education of China

2004 National Science Awards, Tianjin

2000 Distinguished Professor of Changjiang Scholar Program of China

1999 Fok Ying-Tong Education Foundation of China

1999-2001 CNPq Fellowship (Brasil)

1998 Qiu Shi Outstanding Young Scholar, Hong Kong

1999-2002 National Science Foundation for Distinguished Young Scholars

1994-1996 Trans-Century Training Programs Foundation for the Talents by Ministry of Education of China

1993-1994 DAAD Fellowship

1993-1994 K. C. Wong Fellowship, HongKong

INVITED ADDRESSES:

2019, keynote speakers, Australian-German Workshop on Differential Geometry in

the Large,Austrlia

2018, Invited speaker, The International Conference on Occasion of Victor

Buchstaber’s 75th Birthday, Russia

2018, Invited speaker, Four Dimensional Topology, East Asian Conference on Gauge

Theory and Related Topics, Japan

2017, Invited speaker, Oberwolfach Seminar: Lower Curvature Bounds andTopology,

Germany

2016, Invited speaker, Geometry, Groups and Topology Karlsruhe 2016, Gemany

2015, Invited speaker, Symposium on the Geometry and Topology of Manifolds

Canada

2014, Invited speaker, International Congress of Mathematicians (ICM2014), Seoul ,

Korea

2012, Invited speaker, Geometry Structures on Manifolds, Canada

2000, 8. 7–8. 11, Gromov-Hausdorff convergence of Riemannian manifolds,

Mini-Course for XI Escola de Geometria, Brasil

2000, 8. 4, Seiberg-Witten theory and Symmetry of 4-manifolds, Planary Talk for XII

Encontro Brasileiro de Topologia

2000, 6. 1–6. 30, Gromov-Hausdorff convergence of Riemannian manifolds,

Mini-Course for Geometry Seminar in IMPA, Brasil

2000, 3. 30, Curvature, diameter and homotopy theory,Talk in Geometry Seminar at PUC

2000, 1. 5–1. 20, Index theory and its applications to vector fields problem, Mini-

Course for Summer School, UFF, Brasil.

1999, 11. 7, Curvature and Topology, Colloquium talk in IUPU, U.S.A

1999, 11. 4, Curvature, diameter and homotopy theory, Talk at Topology Seminar,

Indiana University, U.S.A

1999, 11. 1, Curvature, diameter and homotopy theory, Special Talk at Topology

Seminar, Rutgers University, U.S.A

1999, 10. 25, Curvature, volume and second Betti numbers, Talk at Geometry

Seminar, Courant Inst., U.S.A

PUBLICATIONS:

[1] ; ; Thorbergsson, Gudlaugur Tits geometry and positive curvature. Acta Math. 218 (2017), no. 1, 1–53.

[2] Fang, Fuquan; Rong, Xiaochun; Tuschmann, Wilderich; Yang, Yihu Topics in metric Riemannian geometry [Editorial]. Front. Math. China 11 (2016), no. 5, 1097–1098.

[3]Fuquan Fang, Karsten Grove, Reflection groups in non-negativecurvature , Journal of Differential Geometry ,102(2016);起止页码:第 179 页至第 205

[4] Davis, James F.; Fang, Fuquan An almost flat manifold with a cyclic or quaternionic holonomy group bounds. J. Differential Geom. 103 (2016), no. 2, 289–296.

[5] Fang, Fuquan; Lei, Fengchun; Wu, Jie The symmetric commutator homology of link towers and homotopy groups of 3-manifolds. Commun. Math. Stat. 3 (2015), no. 4, 497–526.

[6]Fang, Fuquan Non-negatively curved manifolds and Tits geometry. Proceedings of the International Congress of Mathematicians—Seoul 2014. Vol. II, 867–880, Kyung Moon Sa, Seoul, 2014.

[7] Fang, Fuquan; Zhang, Zhenlei Long term solutions of normalized Ricci flow. Differential geometry, 21–48, Adv. Lect. Math. (ALM), 22, Int. Press, Somerville, MA, 2012.

[8] Fang, Fuquan; Zhang, Zhenlei Ricci flow on 4-manifolds and Seiberg-Witten equations. Fifth International Congress of Chinese Mathematicians. Part 1, 2, 61–76, AMS/IP Stud. Adv. Math., 51, pt. 1, 2, Amer. Math. Soc., Providence, RI, 2012.

[9] Fang, Fuquan; Mendonça, Sérgio Knots in Riemannian manifolds. Math. Z. 267 (2011), no. 1-2, 425–431.

[10] Fang, Fuquan; Wang, Jianbo Homeomorphism classification of complex projective complete intersections of dimensions 5, 6 and 7. Math. Z. 266 (2010), no. 3, 719–746.

[11] Fang, Fuquan; Zhang, Zhenlei; Zhang, Yuguang Non-singular solutions of normalized Ricci flow on noncompact manifolds of finite volume. J. Geom. Anal. 20 (2010), no. 3, 592–608.

[12] Fang, Fuquan; Li, Xiang-Dong; Zhang, Zhenlei Two generalizations of Cheeger-Gromoll splitting theorem via Bakry-Emery Ricci curvature. Ann. Inst. Fourier (Grenoble) 59 (2009), no. 2, 563–573.

[13] Fang, Fuquan; Rong, Xiaochun Collapsed 5-manifolds with pinched positive sectional curvature. Adv. Math. 221 (2009), no. 3, 830–860.

[14] Fang, Fuquan; Zhang, Yuguang; Zhang, Zhenlei Non-singular solutions to the normalized Ricci flow equation. Math. Ann. 340 (2008), no. 3, 647–674.

[15] Fang, Fu-quan; Man, Jian-wen; Zhang, Zhen-lei Complete gradient shrinking Ricci solitons have finite topological type. C. R. Math. Acad. Sci. Paris 346 (2008), no. 11-12, 653–656.

[16] Fang, Fuquan Positive quaternionic Kähler manifolds and symmetry rank. II. Math. Res. Lett. 15 (2008), no. 4, 641–651.

[17] Fang, Fuquan Finite isometry groups of 4-manifolds with positive sectional curvature. Math. Z. 259 (2008), no. 3, 643–656.

[18] Fang, Fuquan; Mendonça, Sérgio; Rong, Xiaochun A connectedness principle in the geometry of positive curvature. Comm. Anal. Geom. 13 (2005), no. 4, 671–695.

[19] Fang, Fuquan; Rong, Xiaochun Homeomorphism classification of positively curved manifolds with almost maximal symmetry rank. Math. Ann. 332 (2005), no. 1, 81–101.

[20] Fang, Fuquan; Rong, Xiaochun Positively curved manifolds with maximal discrete symmetry rank. Amer. J. Math. 126 (2004), no. 2, 227–245.

[21] Fang, Fuquan Positive quaternionic Kähler manifolds and symmetry rank. J. Reine Angew. Math. 576 (2004), 149–165.

[22] Fang, Fuquan; Rong, Xiaochun The second twisted Betti number and the convergence of collapsing Riemannian manifolds. Invent. Math. 150 (2002), no. 1, 61–109.

[23] Druck, S.; Fang, F.; Firmo, S. Fixed points of discrete nilpotent group actions on S2. Ann. Inst. Fourier (Grenoble) 52 (2002), no. 4, 1075–1091.

[24] Fang, Fuquan Orientable 4-manifolds topologically embed into R7. Topology 41 (2002), no. 5, 927–930.

[25] Fang, Fuquan; Rong, Xiaochun Curvature, diameter, homotopy groups, and cohomology rings. Duke Math. J. 107 (2001), no. 1, 135–158.

[26] Fang, Fuquan Smooth group actions on 4-manifolds and Seiberg-Witten theory. Differential Geom. Appl. 14 (2001), no. 1, 1–14.

[27] Fang, Fuquan; Rong, Xiaochun Fixed point free circle actions and finiteness theorems. Commun. Contemp. Math. 2 (2000), no. 1, 75–86.

[28] Fang, F.; Rong, X. Positive pinching, volume and second Betti number. Geom. Funct. Anal. 9 (1999), no. 4, 641–674.

[29] Fang, Fuquan Smooth group actions on 4-manifolds and Seiberg-Witten invariants. Internat. J. Math. 9 (1998), no. 8, 957–973.

[30] Fang, Fuquan; Klaus, Stephan Topological classification of 4-dimensional complete intersections. Manuscripta Math. 90 (1996), no. 2, 139–147.

[31] Fuquan, Fang Embedding four manifolds in R7. Topology 33 (1994), no. 3, 447–454.


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