个人简介
孙笑涛是国内知名的代数几何学家。现任中国科学院数学与系统科学研究院研究员。毕业于湖南师范大学。
他曾经和谈胜利、陈猛、蔡金星等人师从著名代数几何家肖刚 （华东师范大学数学系）， 后留学海外深造。
他是数学院国家杰出青年基金获得者。
孙笑涛在代数几何研究中取得重要进展，首次揭示了向量丛的稳定性和弗罗宾尼斯(Frobenius)同态两者之间的深刻联系，具有十分重要的理论意义和价值。向量丛的稳定性是代数几何中非常基本的概念，在数学各领域都有重要应用。这一基本概念曾吸引过众多国际知名数学家的研究，包括多位菲尔兹奖（Fields）得主, 如芒福德(Mumford)、唐纳森(Donaldson)、丘成桐等人。弗罗宾尼斯同态则是特征p域上代数几何中最重要的研究对象。
孙笑涛研究员的相关研究成果《向量丛在弗罗宾尼斯同态下的正向像》(Direct Images of Bundles under Frobenius Morphism)于2008年4月在国际著名数学刊物《数学新进展》(Inventiones Mathematicae)正式发表，该刊物被公认为是国际上最顶尖的几个综合性数学刊物之一。
孙笑涛研究员的《模空间退化和向量丛的稳定性》项目获得2012年度国家自然科学奖二等奖。
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：
Surfaces of general type with canonical pencil, Acta Math. Sinica 33,(1990), no. 6, 769-773.
A note on factorization of birational morphisms, Acta Math. Sinica 34,(1991), no. 6, 749-753.
Algebraic surfaces whose canonical image has a pencil of rational curves of degree two, Math. Z. 209 (1992), no. 1, 67-74.
On canonical fibrations of algebraic surfaces , Manuscripta Math. 83(1994 ), no. 2, 161-169.
Birational morphisms of regular schemes , Compositio Math. 91(1994), no. 3, 325-339.
A regularity theorem on birational morphisms,J. Algebra 178(1995), no. 3, 919-927.
On relative canonical sheaves of arithmetic surfaces, Math. Z. 223 (1996), no. 4, 709-723.
Ramifications on arithmetic schemes, J. Reine Angew. Math. 488 (1997), 37-54.
(with R. Huebl) On the cohomology of regular differential forms and dualizing sheaves, Proc. Amer. Math. Soc. 126 (1998), no. 7, 1931-1940.
(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.
Remarks on semistability of G-bundles in positive characteristic,Compositio Math. 119 (1999), no. 1, 41-52.
Degeneration of moduli spaces and generalized theta functions,J. Algebraic Geom. 9 (2000), no. 3, 459-527.
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.
Factorization of generalized theta functions in the reducible case.Ark. Mat. 41 (2003), no. 1, 165-202.
(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.
Moduli spaces of SL(r)-bundles on singular irreducible curves.Asian J. Math. 7 (2003), no. 4, 609-625.
(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.
Logarithmic heat projective operators, Comm. Algebra 33(2005), no. 2, 425-454.
Minimal rational curves on moduli spaces of stable bundles.Math. Ann. 331 (2005), no. 4, 925-937.
(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, Birkh?user, Basel, 2008.
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.
Direct images of bundles under Frobenius morphisms.Invent. Math. Vol. 173 (2008), no. 2, 427--447.
(with N. Mok) Remarks on lines and miminal rational curves.Science in China Serises A: Mathematics Vol. 52 (2009), no. 6, 1-16.
