Members
  • Shizhang Li (李时璋)

    Email: lishizhang@amss.ac.cn
    Office: MCM Building(晨兴楼) 506
    Research interest: Arithmetic Geometry

I am currently an associate professor at the Morningside Center of Mathematics, Beijing, China. My research interest mainly rests in arithmetic geometry. Currently I am mainly working on p-adic Hodge theory and related problems in various p-adic cohomology theory and p-adic geometry. I am also interested in algebraic geometry with an infinity categorical flavor, finding/studying concrete interesting geometric examples. One particular such of my current focus is finite flat commutative group schemes and their classifying stacks. 
   
Address: 
Morningside Center of Mathematics, No.55, Zhongguancun East Road, Beijing, 100190, China
 
Education:
2014/09-2019/06   Ph.D  Columbia University, New York, US, Supervisors: Aise Johan de Jong
2010/09-2014/07   B.S    Zhejiang University, Hangzhou, China
 
Publications & Preprints:
1. Shizhang Li, On rigid varieties with projective reduction; J. Algebraic Geom. 29 (2020), 669-690.
2. Shizhang Li, Semistable reduction for multi-filtered vector spaces, arxiv: 1704.03968.
3. David Hansen, Shizhang Li, Line bundles on rigid varieties and Hodge symmetry, Math. Z. 296 (2020), 1777-1786.
4. Shizhang Li, Xuanyu Pan, Logarithmic de Rham comparison for open rigid spaces, Forum Math. Sigma J. Math. 7 (2019), e32.
5. Shizhang Li, An example of liftings with different Hodge numbers, Math. Res. Lett. 27 (2020), 835-844.
6. Shizhang Li, Xuanyu Pan, Unobstructedness of deformations of Calabi—Yau varieties with a line bundle, arxiv: 1310.7162.
7. Shizhang Li, Integral p-adic Hodge filtrations in low dimension and ramification, J. Eur. Math. Soc. (2022), published online first.
8. Brian Lawrence, Shizhang Li, A counterexample to an optimistic guess about étale local systems, C. R. Math. Acad. Sci. Paris. 359 (2021), 923-924.
9. Haoyang Guo, Shizhang Li, Period sheaves via derived de Rham cohomology, Compos. Math. 157 (2021), 2377-2406.
10. Shizhang Li, Tong Liu, Comparison of prismatic cohomology and derived de Rham cohomology, arxiv: 2012.14064.
11. Bhargav Bhatt, Shizhang Li, Totaro’s inequality for classifying spaces, arxiv: 2107.04111.
12. Shizhang Li, Shubhodip Mondal, On endomorphisms of the de Rham cohomology functor, Geom. Topol. to appear.
13. Shizhang Li, Dingxin Zhang, Exponentially twisted de Rham cohomology and rigid cohomology, arxiv: 2111.05689.
14. Shizhang Li, Tong Liu, On the u∞-torsion submodule of prismatic cohomology, arxiv: 2204.03411.
 
Employment:
2019/09-2022/06, Donald J. Lewis Research Assistant Professor, University of Mich-igan
2022/07-present, Associate Proefssor, Academy of Mathematics and Systems Science, CAS