My name is Pavel Čoupek. I am a fifth year 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:
|||(with D. Lilienfeldt, L. Xiao, Z. Yao) Geometric quadratic Chabauty over number fields, in preparation.||[pdf] (preliminary version)|
|||(with J. Šťovíček) Cotilting sheaves on Noetherian schemes, Math. Z. 296, 275–312(2020)||[arXiv] [Journal]|
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