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孙笑涛

时间:2015-01-16  来源:文本大小:【 |  | 】  【打印

办公室:N930

电话:010-82541550

箱:xsun#math.ac.cn

研究方向:代数几何

基金和奖励

2008年数学与系统科学研究院突出研究成果奖。

2002年度和2003年度香港RGC基金。

2000年度国家杰出青年基金。国家973项目代数几何组成员。

1992年中国科学院院长奖学金优秀奖(博士)。

已发表的论文:

1.   Surfaces of general type with canonical pencil,  Acta Math. Sinica 33,(1990), no. 6, 769-773.

2.   A note on factorization of birational morphisms, Acta Math. Sinica 34,(1991), no. 6, 749-753.

3.   Algebraic surfaces whose canonical image has a pencil of rational curves of degree two, Math. Z. 209 (1992), no. 1, 67-74.

4.   On canonical fibrations of algebraic surfaces , Manuscripta Math. 83(1994 ), no. 2,  161-169.

5.   Birational morphisms of regular schemes ,  Compositio Math. 91(1994), no. 3,  325-339.

6.   A regularity theorem on birational morphisms,J.  Algebra 178(1995), no. 3,  919-927.

7.   On relative canonical sheaves of arithmetic surfaces, Math. Z.  223 (1996), no. 4, 709-723.

8.   Ramifications on arithmetic schemes,  J. Reine  Angew. Math. 488 (1997),   37-54.

9.   (with R. Huebl)  On the cohomology of regular differential forms and dualizing sheaves, Proc. Amer. Math. Soc. 126 (1998), no. 7,  1931-1940.

10. (with  R. Huebl)  Vector bundles on the projective line over a discrete valuation ring and the cohomology of canonical sheaves,Comm. Algebra  27 (1999), no. 7,  3513-3529.

11. Remarks on semistability of G-bundles in positive characteristic,Compositio Math. 119 (1999), no. 1,  41-52.

12. Degeneration of moduli spaces and generalized theta functions,J. Algebraic Geom. 9 (2000), no. 3, 459-527.

13. Degeneration of SL(n)-bundles on a reducible curve.Algebraic geometry in East Asia (Kyoto, 2001), 229-243, World Sci. Publishing, River Edge, NJ, 2002.

14. Factorization of generalized theta functions in the reducible case.Ark. Mat. 41 (2003), no. 1, 165-202.

15. (with S.-L. Tan and K. Zuo)  Families of  K3 surfaces over curves reaching the Arakelov-Yau type upper bounds and modularity,Math. Res. Lett. 10 (2003), no. 2-3, 323-342.

16. Moduli spaces of  SL(r)-bundles on singular irreducible curves.Asian J. Math. 7 (2003), no. 4, 609-625.

17. (with I-Hsun Tsai)  Hitchin's connection and differential operators with values in the determinant bundle.J. Differential Geom. 66 (2004), no. 2, 303-343.

18. Logarithmic heat projective operators,  Comm. Algebra 33(2005), no. 2, 425-454.

19. Minimal rational curves on moduli spaces of stable bundles.Math. Ann. 331 (2005), no. 4, 925-937.

20. (with H. Esnault and P. H. Hai)  On Nori's fundamental group scheme.Geometry and dynamics of groups and spaces, 377-398,Progr. Math., 265, Birkhäuser, Basel, 2008.

21. Remarks on Gieseker's degeneration and its normalization.Third International Congress of Chinese Mathematicians. Part 1, 2,177-191,  AMS/IP Stud. Adv. Math., 42, pt.1, 2, Amer. Math. Soc., Providence, RI, 2008.

22. Direct images of bundles under Frobenius morphisms.Invent. Math.  Vol. 173  (2008), no. 2,  427--447.

23. (with N. Mok)  Remarks on lines and miminal rational curves.Science in China Serises A: Mathematics  Vol. 52 (2009), no. 6, 1-16.

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