Sun Xiaotao
School
School of Mathematics
Professional Title
Professor
Administrative Appointments
Dean of School of Mathematics
Discipline
Mathematics
Contact Information
xiaotaosun@tju.edu.cn
Room 306, building No. 32-B, Peiyang Park Campus
Education Background
- Master’s Degree| East China Normal University| 1989
- Doctoral degree| Chinese Academy of Sciences| The System Science Institute| 1992
- Bachelor’s Degree| Hunan Normal University| 1983
Research Interests
- Algebraic geometry
Positions & Employments
-
2016.11-2017.12
School of Mathematics | Tianjin University | Dean  -
2012.6-2017.12
Institute of Mathematics | Chinese Academy of Sciences | Deputy Director  -
2000.1-2017.12
Institute of Mathematics | Chinese Academy of Sciences | Research Fellow  -
1996.1-2000.1
Institute of Mathematics | Chinese Academy of Sciences | Associate Research Fellow  -
1994.7-1996.1
Institute of Mathematics | Chinese Academy of Sciences | Research Associate  -
1992.7-1994.6
Institute of Mathematics | Chinese Academy of Sciences | Post-doctoral  -
1983.7-1986.8
Department of Mathematics | Hunan Normal University | Teaching Assistant 
Academic Achievements
- Papers
- [1] 27.(with H. Esnault) Stratified bundles and étale fundamental group, Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XIII (2014), 795-812
- [2] 26.Elliptic curves in moduli space of stable bundles. Pure Appl. Math. Q. 7 (2011), no. 4, Special Issue: In memory of Eckart Viehweg, 1761-1783.
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- [3] 25. Stability of sheaves of locally closed and exact forms, Journal of Algebra, Vol. 324, No. 7, (2010), 1471-1482.
- [4] 24. Frobenius morphisms and semi-stable bundles, Algebraic Geometry in East Asia, Advanced Studies in Pure Mathematics, Vol. 60, (2010), 161--182
- [5] 23. (with Ngaiming Mok) Remarks on lines and minimal rational curves Sciences in China Series A: Mathematics, vol. 52, No.4 (2009) , 617-630
- [6] 22. Remarks on Gieseker's Degeneration and its Normalization AMS/IP Studies in Advanced Mathematics, vol. 42 (2008), 177-191.
- [7] 21. Direct images of bundles under Frobenius morphism, Invent. Math. 173 (2008), 427-447.
- [8] 20. (with H. Esnault and P.H. Hai) On Nori’s fundamental group scheme. Progress in Mathematics, Vol. 265 (2007) 377-398 Birkhauser Verlag Basel/Switzerland.
- [9] 19. Minimal rational curves on moduli spaces of stable bundles. Math. Ann. 331 (2005), no. 4, 925-937.
- [10] 18. Logarithmic heat projective operators, Comm. Algebra 33 (2005), no. 2, 425-454.
- [11] 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
- [12] 16. Moduli spaces of SL(r)-bundles on singular irreducible curves. Asian J. Math. 7 (2003), no. 4, 609-625.
- [13] 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.
- [14] 14. Factorization of generalized theta functions in the reducible case. Arkiv for Matematik. 41 (2003), no. 1, 165-202.
- [15] 13. Degeneration of SL(n)-bundles on a reducible curve. Algebraic geometry in East Asia (Kyoto, 2001), 29-243, World Sci. Publishing, River Edge, NJ, 2002.
- [16] 12. Degeneration of moduli spaces and generalized theta functions, J. Algebraic Geom. 9 (2000), no. 3, 459-527
- [17] 11. Remarks on semistability of G-bundles in positive characteristic, Compositio Math. 119 (1999), no. 1, 41-52.
- [18] 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.
- [19] 9. (with R. Huebl) On the cohomology of regular differential forms and dualizing sheaves, Proc. Amer. Math. Soc. 126 (1998), no. 7, 1931-1940.
- [20] 8. Ramifications on arithmetic schemes, J. Reine Angew. Math. 488 (1997), 37-54.
- [21] 7. On relative canonical sheaves of arithmetic surfaces, Math. Z. 223 (1996), no. 4, 709-723.
- [22] 6. A regularity theorem on birational morphisms, J. Algebra 178 (1995), no. 3, 919-927.
- [23] 5. Birational morphisms of regular schemes, Compositio Math. 91 (1994), no. 3, 325-339.
- [24] 4. On canonical fibrations of algebraic surfaces, Manuscripta Math. 83 (1994), no. 2, 161-169.
- [25] 3. Algebraic surfaces whose canonical image has a pencil of rational curves of degree two, Math. Z. 209 (1992), no. 1, 67-74.
- [26] 2. A note on factorization of birational morphisms, Acta Math. Sinica 34, (1991), no. 6, 749-753.
- [27] 1. Surfaces of general type with canonical pencil, Acta Math. Sinica 33, (1990), no. 6, 769-773.