Shizhang Li

“I follow up the quest, despite of day and night, and death and hell.”—Tennyson

Papers and Preprints

’Rome wasn’t built in one day, bro…’

My arXiv preprints. Note that the preprint version is the latest version, which could be different from the arXiv version.

9. Frobenius height of prismatic cohomology with coefficients (with Haoyang Guo), arXiv, preprint (Sep. 12th, 2023).

8. On the u-torsion submodule of prismatic cohomology (with Tong Liu), arXiv, preprint (Feb. 3rd, 2023). Compositio Mathematica, Volume 159, Issue 8, August 2023, pp. 1607-1672.

7. On endomorphisms of the de Rham cohomology functor (with Shubhodip Mondal), arXiv, preprint (Apr. 20th, 2022). Geometry & Topology 28 (2024), no. 2, 759–802.

6. Comparison of prismatic cohomology and derived de Rham cohomology (with Tong Liu), arXiv, preprint (Mar. 16th, 2022). J. Eur. Math. Soc, online first.

5. Period sheaves via derived de Rham cohomology (with Haoyang Guo), arXiv, preprint (Apr. 12th, 2021). Compositio Mathematica, Volume 157, Issue 11, November 2021, pp. 2377-2406.

4. Integral p-adic Hodge filtrations in low dimension and ramification, arXiv, preprint (Dec. 30th, 2020). J. Eur. Math. Soc. 24 (2022), no. 11, pp. 3801-3827.

3. An example of liftings with different Hodge numbers, arXiv, preprint (Dec. 15th, 2018). Mathematical Research Letters, Vol. 27, No. 3 (2020), pp. 835-844.

2. Logarithmic de Rham comparison for open rigid spaces (with Xuanyu Pan), arXiv, preprint (April 25th, 2019). Forum Math. Sigma 7 (2019), e32, 53 pp.

1. On rigid varieties with projective reduction, arXiv, preprint (Nov. 7th, 2018). J. Algebraic Geom. 29 (2020), 669-690.

Other Formal Writings

’Math is to be enjoyed, not just endured.’