My name is Pavel Čoupek. I am a graduate student of mathematics at Purdue University. My advisor is Tong Liu.
Before coming to Purdue, I did my Bachelor's and Master's studies at the Faculty of Mathematics and Physics of the Charles University in Prague, with specialization in homological algebra.
My mathematical interests are:
|||Crystalline condition for Ainf-cohomology and ramification bounds, preprint.||[arXiv]|
|||(with D. Lilienfeldt, L. Xiao, Z. Yao) Geometric quadratic Chabauty over number fields, preprint.||[arXiv]|
|||(with J. Šťovíček) Cotilting sheaves on Noetherian schemes, Math. Z. 296, 275–312 (2020)||[arXiv] [Journal]|
Čech complexes for crystalline cohomology [pdf] This note is a long-ish proof of the (admittedly also quite long) unproved Remark 07MM of the Stacks Project, about a variant of Čech complex that computes crystalline cohomology.
An example of ln-formally étale map that is not weakly étale. [pdf] This example came about as a part of a project that I participated in during the Arizona Winter School in March 2019. The project was associated with M. Morrow's lecture series "Topological Hochschild homology in arithmetic geometry". The project assistant was B. Antieau.
\pi-typical Witt vectors. [pdf] This note is a write-up of some basic properties of the (p-typical) Witt vectors construction adjusted to a uniformizer \pi of a local number field, with tediously elementary proofs. (No originality claimed.)[to be expanded]
Fall 2020: MA 16020 (IMPACT)
Spring 2019: MA 261 recitation
Spring 2018: MA 166 recitation