Max Mornev

I am a postdoc in the group of Richard Pink working in number theory.

NB: I am about to move to EPFL.

Papers

Tate modules of isocrystals and good reduction of Drinfeld modules
Algebra & Number Theory 15 (2021), no. 4, 909–970

Shtuka cohomology and special values of Goss L-functions

Tannakian properties of unit Frobenius-modules
J. Number Theory 166 (2016), 19–30

Courses and seminars

Étale cohomology seminar

Drinfeld modules seminar

Marina Prokhorova was my first mentor in mathematics.

ALGANT program gave me an opportunity to study at a master and then a PhD level.

My face and my flag.

Slides

Local monodromy of Drinfeld modules
WWU Münster Online Seminar (2021)

Local monodromy of Drinfeld modules
UCSD Number Theory Seminar (2020)

t-motives (pre-talk)
UCSD Number Theory Seminar (2020)

Local monodromy of Drinfeld modules
AMS Fall Eastern Virtual Sectional Meeting (2020)

Tate conjectures in function field arithmetic
Upstate New York Online Number Theory Colloquium

Theses

Shtuka cohomology and special values of Goss L-functions
PhD thesis. Advisors: Lenny Taelman, Fabrizio Andreatta and Bas Edixhoven. An improved version is available on arXiv.

Zero-cycles on surfaces

Notes

The notes are from my days as a PhD student.

The pro-étale cohomology of $\mathbb{Z}_\ell$
Étale Cohomology (Leiden)

A sketch of Hodge Theory
Seminar on K3 surfaces and their automorphisms (Leiden)

Derived categories
Coherent Cohomology (Leiden)

Flat and étale morphisms
The Étale Fundamental Group (Leiden)