宋雷,副教授,博士生、硕士生导师, 2014年在美国伊利诺伊大学芝加哥分校获得博士学位,在美国堪萨斯大学和加州大学河滨分校从事博士后研究,于2018年入职必赢体育官网登录。

 

邮箱:songlei3@mail.sysu.edu.cn

个人主页:  https://sites.google.com/view/leisong

 

研究领域   

代数几何

 

学术论文

  • Singularities of secant varieties from a Hodge theoretic perspective (joint with Sebastián Olano and Debaditya Raychaudhury), Proc. Lond. Math. Soc. (3) 2024; 129:e12635.
  • A higher-dimensional Chevalley restriction theorem for orthogonal groups (joint with Xiaopeng Xia and Jinxing Xu), Adv. Math., 426 (2023), Paper No. 109104, 25 pp.
  • On the quantum cohomology of blow-ups of four dimensional quadrics (joint with Jianxun Hu, Huazhong Ke and Changzheng Li),  Acta Math. Sin. (Engl. Ser.) 40 (2024), no. 1, 313-328.
  • On the image of Hitchin morphism for algebraic surfaces: The case GLn (joint with Hao Sun), Int. Math. Res. Not. IMRN (2024), no. 1, 492-514.    
  • Curves contracted by the Gauss map, Adv. Math. 405 (2022), Paper No. 108490, 18 pp.
  • Regularity of structure sheaves of varieties with isolated singularities (joint with Joaquín Moraga and Jinhyung Park), Commun. Contemp. Math. 23 (2021), no. 5, Paper No. 2050039, 25 pp.
  • On direct images of twisted pluricanonical sheaves on normal varieties (joint with Chih-Chi Chou), Manuscripta Math. 168 (2022), no. 1-2, 89-100.
  • On the projective normality of cyclic coverings over a rational surface, Bull. Lond. Math. Soc. 51 (2019), no. 3, 516-530.
  • Singularities of secant varieties (joint with Chih-Chi Chou), Int. Math. Res. Not. IMRN, Vol. 2018, no. 9, 2844-2865.
  • On the projective normality of double coverings over a rational surface (joint with Biswajit Rajaguru), J. Algebra 469 (2017), 251-266.
  • On the universal family of Hilbert schemes of points on a surface, J. Algebra 456 (2016), 348-354.
  • On the singularities of effective loci of line bundles, J. Pure Appl. Algebra 219 (2015), 2917-2932.

 

教学

讲授本科高等数学、线性代数、基础数论、运筹学、概率与统计

组织研究生讨论班

  • 23-24 toric几何
  • 22春  高维代数几何
  • 19-21 经典著作讨论班—《Lectures on curves on an algebraic surface》