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My research area is Algebraic Geometry, and study topics: Algebraic Surface, Irregular Variety, Minimal Model Theory 

in positive characteristic. Recently my research interest lies in Hodge conjecture and related topics.

Research papers:

 [23] Feng Hao, Zichang Wang and Lei Zhang, Good minimal models with nowhere vanishing holomorphic 1-forms, 

 arXiv: 2412.12582.

[22] Jinshan Chen, Chongning Wang and Lei Zhang, On canonical bundle formula for fibrations of curves in positive

 characteristic, arXiv: 2308.08927v1.

[21] Jingshan Chen, Chongning Wang and Lei Zhang, Irregular threefolds with numerically trivial canonical divisor, 

to appear in Nagoya Mathematical Journal,  arXiv:2409.19973.

[20] Miaomiao Mu and Lei Zhang, On Bogomolov's inequality on fibered surfaces in positive characteristic, 

International Journal of Mathematics 36 (2025), no. 12, Paper No. 2550046, 18 pp.

[19] Lei Zhang,  Frobenius stable pluricanonical systems on threefolds of general type in positive characteristic.

Algebra Number Theory 16 (2022), no. 10, 2339–2384.  arXiv: 2010. 08897.

[18] Yi Gu, Lei Zhang and Yongming Zhang, Counterexamples to Fujita's conjecture on surfaces in positive characteristic,  

Advances in Mathematics 400 (2022), Paper No. 108271, 17 pp. 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.