Sun Xiaotao won the peace talks, and Chen Meng, Cai Jinxing and others studied under the famous algebraic geometer Xiao Gang (Department of Mathematics, East China Normal University), and then went abroad for further study.
Winner of National Outstanding Youth Fund of Mathematics College.
Sun Xiaotao has made great progress in the study of algebraic geometry, revealing the profound relationship between the stability of vector bundles and Frobenius homomorphism for the first time, which has important theoretical significance and value. The stability of vector bundle is a very basic concept in algebraic geometry and has important applications in various fields of mathematics. This basic concept has attracted the research of many internationally renowned mathematicians, including many Fields Prize winners, such as Mountford, Donaldson, Qiu Chengtong and others. Frobenius homomorphism is the most important research object in algebraic geometry over characteristic P field.
Sun Xiaotao's related research achievement "The Direct Image of Beams under Frobenius Morphy * * *" was officially published in the internationally renowned mathematics journal Inventions Mathematica E in April 2008, which is internationally recognized as one of the top comprehensive mathematics journals. & lt！ -DuYiHuaAdd end content-& gt；
Researcher Sun Xiaotao's project "Degeneration of Modular Space and Stability of Vector Bundles" won the second prize of the 20 12 National Natural Science Award.
Research direction: algebraic geometry
Excellent research achievement award of Institute of Mathematics and System Science in 2008.
RGC Fund in Hong Kong in 2002 and 2003.
National Fund for Outstanding Youth in 2000. Member of Algebra Geometry Group of National 973 Project.
1992 China Academy of Sciences Dean Scholarship Award for Excellence (Doctor).
Published paper: general types of surfaces with standard pencils, Actmath. Academia Sinica 33, (1990), No.6, 769-773.
A note on factorization of birational morphisms. Academia Sinica 34, (199 1), No.6, 749-753.
Algebraic surface, whose standard image has a bunch of o rational curves, mathematics. Z. 209 (1992),No. 1, 67-74.
On the standard fibrosis of algebraic surfaces. 83( 1994), No.2, 16 1- 169.
Bi-rational states of regular schemes, synthesis mathematics. 9 1( 1994), No.3, 325-339.
A regularity theorem on birational morphisms, J. Algebra 178( 1995), No.3, 9 19-927.
Relative standard bundle of arithmetic surfaces, mathematics. Z. 223 (1996), No.4, 709-723.
A branch of an arithmetic scheme. mathmatics 488 ( 1997), 37-54.
(with R. Huebl) On the cohomology and process of regular differential forms and duality layers. Amir. mathmatics Socialist 126 (1998), No.7, 193 1- 1940.
Cohomology of vector bundle on projective line and canonical layer bundle on (with R. Huebl) discrete valuation ring, Communication Algebra 27 (1999), No.7, 35 13-3529.
A note on semi-stability of G- bundle in positive characteristic and composition mathematics. 1 19 (1999), No.65438+0,41-52.
Degeneration of module space and generalized theta function. 9 (2000), No.3, pp. 459-527.
Degeneration of SL(n)- bundle on reducible curves. Algebraic Geometry of East Asia (Kyoto, 200 1), 229-243, World Sci. Published by Riverside, New Jersey, 2002.
Factorization of generalized θ function in reducible case. 4 1 (2003)No. 1, 165-202.
K3 surface families and modularity on curves (with S.-L. Tan and K. Zuo) reaching the upper bound of Arakelov-Yau type, mathematics. Ritter's resolution. 10 (2003) No.2-3, 323-342.
Module space of SL(r)- bundle on singular irreducible curves. Asian J. mathematics Vol. 7 (2003), No.4, pp. 609-625.
(with I-hsuntai) Hitchin's contact and differential operator of value in determinant bundle. J. Differential geometry. 66 (2004), No.2, pp. 303-343.
Logarithmic thermal projection operator, Communication Algebra 33(2005), No.2, 425-454.
Minimal rational curve on the module space of stable bundle. 33 1 (2005) No.4 925-937.
Discuss the basic group plan of our company (with H. Esnault and P. H. Hai). Geometry and dynamics of groups and spaces, 377-398, Progr. mathmatics ，265，Birkh？ Users, Basel, 2008.
Notes on Giesecke Degeneration and Its Normalization. The third international congress of Chinese mathematicians. Parts 1 2, 177- 19 1, AMS/IP studs. mathmatics ，42，pt. 1，2，Amer。 mathmatics Socialist, Providence, Rotary International, 2008.
The direct image of the beam under Frobenius morphy * * * s.invention.math. Vol. 173 (2008), No.2, pp. 427-447.
Notes on straight lines and minimum rational curves. China Science Series A: Mathematics Volume 52 (2009), No.6, 1- 16.