I am now an associated professor at School of Mathematical Sciences of USTC. Before joining USTC, I was a member of School of Math., Shaanxi Normal University (2011-2018).
I got my Bachelor's degree from Tianjin University (2001-2005) and Ph.D. from Peking University (Supervised by Prof. Jin-Xing Cai, 2005-2011). Here is my CV.
Office: 管理科学楼1531
Email：zhlei18@ustc.edu.cn
News: 欢迎从事多复变、代数几何的博士申请科大的博后（年薪20万）。
Here are some useful Links.
Here are resources of lectures on extension theory (an application of complex analysis in algebraic geomtry)
For suggestions to graduate students, I agree with and refer to Prof. Liang，there are some interesting material in Shenxing Zhang's homepage （张神星） .
2022 Spring, Modern Algebra（近世代数）
2022 Spring, Commutative Algebra (Exercise，中法班习题课)
2021 Fall, Basic Algebraic Geometry I: Algebraic curves (An introduction to AG), William Fulton
2021 Spring, Modern Algebra
2020 Fall, Basic Algebraic Geometry I: Algebraic curves (An introduction to AG), William Fulton
2020 Spring, Modern Algebra
2019 Fall, Basic Algebraic Geometry 1:Varieties in Projective Space(Igor R.Shafarevich)
2019 Sring, Algebraic Geometry and Arithemetic curves(Qing Liu)
2018 Fall, Complex Variable Functions(（复变函数，严镇军 )
2018 Spring, Riemann Surface （黎曼曲面导引，梅加强）
My research area is Algebraic Geometry, and study topics: Algebraic Surface, Irregular Variety, Minimal Model Theory in positive characteristic. Recently my research interest is the classification of varieties in characteristic p.
[18] Yi Gu, Lei Zhang and Yongming Zhang, Counterexamples to Fujita's conjecture on surfaces in positive characteristic, accepted by Advances in Mathematics. arXiv: 2002. 04584.
[17] Paolo Cascini, Sho Ejiri, Janos Kollar and Lei Zhang, Subadditivity of Kodaira dimension does not hold in positive characteristic, Commentarii Mathematici Helvetici 96 (2021), no. 3, 465--481. arXiv: 2003. 13206.
[16] Lei Zhang, Abundance for 3-folds with non-trivial Albanese maps in positive characteristic, Journal of the European Mathematical Society 22 (2020), no. 9, 2777--2820. arXiv: 1705.00847.
[15] Lei Zhang, Subadditivity of Kodaira dimensions for fibrations of three-folds in positive characteristics, Advances in Mathematics 354, (2019), https://doi.org/10.1016/j.aim.2019.106741.
[14] C.D. Hacon, Z. Patakfalvi and L. Zhang, Birational characterization of abelian varieties and ordinary abelian varieties in characteristic p > 0, Duke Mathematical Journal 168 (9) (2019), 1723--1736.[13] Chenyang Xu and Lei Zhang, Nonvanishing for threefolds in characteristic p>5, Duke Mathematical Journal, 168 (7) (2019),1269--1301.
[12] Lei Zhang, Abundance for non-uniruled 3-folds with non-trivial Albanese maps in positive characteristics, Journal of the London Mathematical Society, 99 (2) (2019), no. 2, 332--348.
[11] Yong Hu and Lei Zhang, Surfaces with p_g = q= 1, K^2 = 6 and non-birational bicanonical maps, Acta Mathematica Sinica (English Series) 35 (3) (2019), 321--337.
[10] Sho Ejiri and Lei Zhang, Iitaka's conjecture for 3-folds in positive characteristic, Mathematical Research Letters 25 (2018), 783--802.
[9] Lei Zhang, A note on Iitaka's conjecture C_{3,1} in positive characteristics, Taiwanese Journal of Mathematics,21 (2017), 689--704.
[8] Caucher Birkar, Yifei Chen and Lei Zhang, Iitaka's C_{n,m} conjecture for 3-folds over finite fields, Nagoya Mathematical Journal 229 (2018), 21--51.
[7] Lei Zhang, Surfaces with p_g=q = 1, K^2 = 7 and nonbirational bicanonical maps, Geometriea Dedicata 177 (2015), 293--306.
[6] Yifei Chen and Lei Zhang, The subadditivity of the Kodaira dimension for fibrations of relative dimension one in positive characteristic, Mathematical Research Letters 22 (2015), 675--696.
[5] Lei Zhang, The cohomological support locus of pluricanonical sheaves and the Iitaka fibration, Journal of the London Mathematical Society 90 (2014), 592--608.
[4] Lei Zhang, A note on the linear systems on the projective bundles over abelian varieties, Proceedings of the American Mathematical Society 142 (2014), 2569--2580.
[3] Lei Zhang, On the bicanonical map of primitive varieties with q(X) = dim X: the degree and the Euler number, Mathematische Zeitschrift 277 (2014), 575--590.
[2] Jin-xing Cai, Wenfei Liu and Lei Zhang, Automorphisms of surfaces of general type with q>= 2 acting trivially in cohomology, Compositio Mathematica 149 (2013), 1667--1684.
[1] Lei Zhang, Characterization of a class of surfaces with p_g=0 and K^2 = 5 by their bicanonical maps, Manuscripta Mathematica 135 (2011), 165--181.
[19] Lei Zhang, Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic, arXiv: 2010. 08897.