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
Education:
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
Employment:
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
Publications and Preprints:
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]
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), [pdf]
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