Pavel Čoupek

Contact: Department of Mathematics, Purdue University
150 N. University Street
West Lafayette, IN 47907
Office: MATH 719
E-mail: pcoupek {curly-a-here] purdue [small-round-mark-here} edu

My name is Pavel Čoupek. I am a fourth 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:

Seminar on perfectoid spaces.

Seminar on infinity categories.

Research:


[1] (with J. Šťovíček) Cotilting sheaves on Noetherian schemes, to appear in Math. Z. [arXiv]

Notes:


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 a version of the (p-typical) Witt vectors construction adjusted to a uniformizer \pi of a local number field. [to be expanded]

Teaching:


Spring 2020: MA 262 recitation

Fall 2019: MA 262 recitation

Spring 2019: MA 261 recitation

Spring 2018: MA 166 recitation