I am now a research professor (tenure track) 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

Here are some useful Links. For suggestions to graduate students, I agree with and refer to Prof. Liang.

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.

[16] **Lei Zhang**, Abundance for 3-folds with non-trivial Albanese maps in positive characteristic, to appear in *Journal of the European Mathematical Society*, 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.

[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 Zhan**g, 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 Zhan**g, 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.

[17] Yi Gu, **Lei Zhang** and Yongming Zhang, Counterexamples to Fujita's conjecture on surfaces in positive characteristic, arXiv: 2002. 04584.

[18] Paolo Cascini, Sho Ejiri and **Lei Zhang**, Subadditivity of Kodaira dimension does not hold in positive characteristic, in preparation.

[19] **Lei Zhang**, An inductive approach to the effectivity of pluricanonical maps in positive characteristic, in preparation.