Name
Lei Fu
Specialty
Pure Mathematics

Position

Director


Curriculum Vitae

9.1985 - 7.1989: Bachelor Degree, Dept.of Mathematics in Wuhan University

7.1989 - 7.1990£ºtraining for Shiing-Shen Chern Program

9.1990 - 5.1995£ºPh.D Degree, Dept. of Mathematics at Rice University in the U.S.A

8.1995 - 8.1997£ºAssistant Professor, Dept. of Mathematics at Indiana University in the U.S.A

8.1997 - 6.1999£ºPostdoctor, Nankai Institute of Mathematics

6.1999 - £ºProfessor, Chern Institute of Mathematics

 


Research interest

Algebra geometry (L-Adic Cohomology theory and the Galois Representation)


Publications

[1] Lei Fu, On the boundaries of special Lagrangian submanifolds, Duke Mathematical Journal 79 (1995), 405-422.
[2] ----, An analogue of Bernstein's theorem, Houston Journal of Mathematics 24 (1998), 415-419.
[3] ----, On the construction of generalized jacobians, L'Enseignement Math¨¦matique 45 (1999), 17-50.
[4] ----, On the semisimplicity of pure sheaves, Proceedings of the American Mathematical Society 127 (1999), 2529-2533.
[5] ----, On the semisimplicity conjecture and Galois representations, Transactions of the American Mathematical Society 353 (2001), 4357-4369.
[6] (joint with Daqing Wan) Total degree bounds of Artin L-functions and partial zeta functions, Mathematical Research Letters 10 (2003), 33-41.
[7] (joint with Daqing Wan) Moment L-functions, partial L-functions, and partial exponential sums, Mathematische Annalen 328 (2004), 193-228.
[8] (joint with Chunlei Liu) Equidistribution of Gauss sums and Kloosterman sums, Mathematische Zeitschrift 249 (2005), 269-281.
[9] (joint with Daqing Wan) The L-functions of symmetric products of the Kloosterman sheaf, Journal f¨¹r die reine und angewandte Mathematik (Crelle's Journal) 589 (2005), 79-103.
[10] (joint with Daqing Wan) Mirror congruence for rational points on Calabi-Yau varieties, Asian Journal of Mathematics10 (2006), 1-10.
[11] ----, Algebraic Geometry, Tsinghua University Press 2006.
[12] (joint with Daqing Wan) Trivial factors for L-functions of symmetric products of Kloosterman sheaves, Finite Fields and Their Applications 14 (2008), 549-570.
[13] (joint with Daqing Wan) The local monodromy of the Kloosterman sheaf at infinity, AMS/IP Studies in Advanced Mathematics 42 (2008), 125-133, International Press and the American Mathematical Society.
[14] (joint with Daqing Wan) L-functions of symmetric products of the Kloosterman sheaf over Z, Mathematische Annalen 342 (2008), 387-404.
[15] ---, Weight of twisted exponential sums, Mathematische Zeitschrift 262 (2009), 449-472.
[16] ---, A Tauberian theorem for l-adic sheaves, Science in China 53 (2010), special issue dedicated to Wang Yuan, 2207-2214.
[17] ---, Calculation of l-adic local Fourier transformations, Manucripta Mathematica 133 (2010), 409-464.
[18] (joint with Daqing Wan) Functional equations of L-functions for symmetric products of the Kloosterman sheaf£¬Transactions of the American Mathematical Society 362 (2010), 5947-5965.
[19] ---£¬ Etale Cohomology Theory£¬Nankai Tracts in Math. 13, World Scientific (2011).
[20] ---, Integrable connections and Galois representations, AMS/IP Studies in Advanced Mathematics 51 (2012), 127-138, International Press and the American Mathematical Society.
[21] ---, Deformation of l-adic sheaves with undeformed local monodromy, Journal of Number Theory 133 (2013), 675-691.
[22] ---, A Thom-Sebastiani theorem in characteristic p, Mathematical Research Letters 21 (2014), 101¨C119.
[23] (joint with Daqing Wan) A class of incomplete character sums, Quarterly Journal of Mathematics 65 (2014), 1195-1211.


Awards

outstangding young scholar,by Hongkong Qiushi Scientific and technological Foundation

founded by Huo Yindong for university young teacher Foundation

training plan for New Century Talent Program

special Stipend by State Council

Candidate of the hundreds Thousands of Talents Project of New Century

National Outstanding Young Scholar, by National Science Fundation

Yangzi River Award Program specially hired professorship



Contact
Office£ºRoom 401, Shiingshen Building ¡¡Tel .: (86)022-23503896¡¡Email:leifu@nankai.edu.cn

Erratum

Erratum for "Etale Cohomology Theory", World Scientific.    PDF