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.
7. On endomorphisms of the de Rham cohomology functor (with Shubhodip Mondal), arXiv, preprint (October 11th, 2021).
6. Comparison of prismatic cohomology and derived de Rham cohomology (with Tong Liu), arXiv, preprint (Mar. 12th, 2021).
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). To appear in J. Eur. Math. Soc.
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.’
Totaro’s inequality for classifying spaces (with Bhargav Bhatt), arXiv, preprint (Jul. 7th, 2021).
A counterexample to an optimistic guess about étale local systems (with Brian Lawrence), arXiv, preprint (Feb. 2nd, 2020). To appear in C. R. Math.
Unobstructedness of deformations of Calabi--Yau varieties with a line bundle (with Xuanyu Pan), arXiv.
Line bundles on rigid varieties and Hodge symmetry (with David Hansen),
arXiv, preprint (Aug. 23rd, 2018). Mathematische Zeitschrift (2020).
Langton’s theorem for multi-filtered vector space, arXiv.