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Professors

 William Y.C. Chen Yuping Duan Zaihui Gan Kathy Q. Ji Renjin Jiang Jinghai Shao Xiaotao Sun Fengyu Wang Gengsheng Wang Zhi-Qiang Wang Ou Wu Yifei Wu Yong Zhang Chuanming Zong

Associate Professors

 Xiequan Fan Ling He Huaiqian Li Xing Peng Zhenling Peng Baofang Song Yaohong Wang Xun Yu Haixiang Zhang

Assistant Professors

 Xin Chen Song Dai Yingjun Deng Alan J.X. Guo Eryan Hu Haoyang Huang Xing Huang Nan Li Wenjun Ma Bo Ning Ruipeng Shen WenYi Tian Bin Wei Huaming Wu Jie Wu Manting Xie Tian Xu Song Yang Yubiao Zhang Mingfeng Zhao Mingshuo Zhou Fei Zhu

Post-Doctors

 Lingyan Cheng Teng Fang Chao Ji Hongying Lin Jijian Song Lixia Wang Jiakuan Xu Xu Zhang

 Elaine Guo Albert Y. Liu

Email: xiaotaosun@tju.edu.cn

Research Interests
Algebraic geometry

Education
1979.09-1983.07, B.S, Mathematics, Hunan Normal University, China

1986.09-1989.07, M.Sc., Mathematics, East China Normal University, China

1989.09-1992.07, Ph.D, Mathematics, Institute of System Sciences, CAS, China

Selected Publications
[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. Arkiv for Matematik. 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. Progress in Mathematics, Vol. 265 (2007) 377-398 Birkhauser Verlag Basel Switzerland

[21] Direct images of bundles under Frobenius morphism, Invent. Math. 173 (2008), 427-447

[22] Remarks on Gieseker¡¯s Degeneration and its Normalization AMS IP Studies in Advanced Mathematics, vol. 42 (2008), 177-191

[23] (with Ngaiming Mok) Remarks on lines and minimal rational curves, Sciences in China Series A: Mathematics, vol. 52, No.4 (2009) , 617-630

[24] Frobenius morphisms and semi-stable bundles, Algebraic Geometry in East Asia, Advanced Studies in Pure Mathematics, Vol. 60, (2010), 161-182

[25] Stability of sheaves of locally closed and exact forms, Journal of Algebra, Vol. 324, No. 7,(2010), 1471-1482

[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

[27] £¨With H. Esnault£©Stratified bundles and ¨¦tale fundamental group£¬Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XIII (2014), 795-812

Center for Applied Mathematics, Tianjin University, No.92 Weijin Road, Tianjin 300072, P. R. China