Welcome to my Webpage. I am an associate professor at Sun Yat-sen University. My research is in algebraic geometry. Current research interest includes: positivity and sysygies of linear series, singularities in birational geometry, vanishing theorems, and Higgs bundles.
Mailing Address:
School of Mathematics
Sun Yat-sen University
135 W. Xinggang Rd.
Guangzhou, Guangdong 510275
PR. China
Office: Bldg 266 Room 518
Email: songlei3@mail.sysu.edu.cn
Ph.D. in Mathematics, University of Illinois at Chicago, 2014 (advisor: Professor L. Ein)
M.S. in Applied Math., Chinese Academy of Sciences, 2008
B.E. in Information Engineering, Xi'an Jiaotong University, 2005
Associate Professor, Sun Yat-sen University, 2018–present
Visiting Assistant Professor, University of California, Riverside, 2017–2018
Visiting Assistant Professor, University of Kansas, 2014–2017
Mirror symmetry for certain blowups of Grassmannians (with J. Hu, H. Ke and C. Li), [arXiv]
On covering simplices by dilations in dimensions 3 and 4 (with H. Wen and Z. Zhu), [arXiv]
Singularities of secant varieties from a Hodge theoretic perspective (with S. Olano and D. Raychaudhury), [arXiv]
Proceedings of the London Mathematical Society (3) 2024, 129:e12635
A higher-dimensional Chevalley restriction theorem for orthogonal groups (with X. Xia and J. Xu), [arXiv]
Advances in Math. 426 (2023), Paper No. 109104, 25 pp
On the quantum cohomology of blow-ups of four dimensional quadrics (with J. Hu, H. Ke and C. Li), [arXiv]
Acta Mathematica Sinica, English Series, 40(1), 313–328, 2024, DOI: 10.1007/s10114-023-2236-1
On the image of Hitchin morphism for algebraic surfaces: The case GL_n (with H. Sun), [arXiv]
International Mathematics Research Notices. IMRN, Vol. 2024, No. 1, pp. 492–514.
Curves contracted by the Gauss map, [arXiv]
Advances in Math. 405 (2022), Paper No. 108490, 18 pp
Kodaira vanishing on singular varieties revisited (with D. Arapura), [arXiv]
Regularity of structure sheaves of varieties with isolated singularities (with J. Moraga and J. Park), [arXiv]
Commun. Contemp. Math. 23 (2021), no. 5, Paper No. 2050039, 25 pp
On direct images of twisted pluricanonical sheaves on normal varieties (with C-C. Chou), [Journal]
Manuscripta Mathematica 168 (2022), no. 1, 89–100
On the projective normality of cyclic coverings over a rational surface, [arXiv]
Bull. London Math. Soc. 51 (2019), 516–530
Singularities of secant varieties (with C-C. Chou), [arXiv]
International Mathematics Research Notices. IMRN, Vol. 2018, No. 9, 2844–2865
On the projective normality of double coverings over a rational surface (with B. Rajaguru), [arXiv]
Journal of Algebra 469 (2017), 251–266
On the universal family of Hilbert schemes of points on a surface, [arXiv]
Journal of Algebra 456 (2016), 348–354
On the singularities of effective loci of line bundles, [arXiv]
Journal of Pure and Applied Algebra 219 (2015), 2917–2932