Maxim Mornev

This CV including the contact details is also available in PDF.

Research area

Number theory

Preprints and papers

Tate modules of isocrystals and good reduction of Drinfeld modules
arXiv:1910.11057

Shtuka cohomology and special values of Goss L-functions
arXiv:1808.00839

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

Positions

2018 –Postdoc, ETH Zürich

Education

2018PhD, Universiteit Leiden, Università degli Studi di Milano

ALGANT program
Advisors: Lenny Taelman (Amsterdam), Fabrizio Andreatta (Milano)
Thesis: Shtuka cohomology and special values of Goss L-functions
https://openaccess.leidenuniv.nl/handle/1887/61145

2013MSc, Universiteit Leiden (1st year), Université Paris-Sud (2nd year)

ALGANT program
Advisor: François Charles
Thesis: Zero-cycles on surfaces
http://algant.eu/documents/theses/mornev.pdf

2011MSc degree in «Mathematics. Computer Science», Ural Federal University

Grants and awards

2019 – 2021ETH fellowship

2013 – 2017Leiden/Huygens fellowship
There are three such fellowships per year for the entire faculty of science.

2013 – 2017ALGANT doctoral scholarship

2011 – 2013ALGANT master scholarship

Teaching experience

Fall 2019p-adic Galois representations
ETH Zürich, lecturer

Fall 2016Galois Representations and Automorphic Forms
Universiteit van Amsterdam, national graduate level course, teaching assistant

Fall 2013Topics in Field Theory
Universiteit Leiden, master level course, helped grading homeworks

Talks and minicourses

2020Arithmetic of function fields (minicourse)
ICMAT, Universidad Autónoma de Madrid

2019Shtuka cohomology and special values of Goss L-functions (minicourse)
Université Claude Bernard Lyon 1

An -adic criterion of good reduction for Drinfeld modules
Arithmetic of Function Fields and Diophantine Geometry
National Taiwan University

Shtuka cohomology and special values of Goss L-functions
AMS Spring Central and Western Joint Sectional Meeting
University of Hawaiʻi at Mānoa

An -adic criterion of good reduction for Drinfeld modules
Hawaiʻi Number Theory Conference
University of Hawaiʻi at Mānoa

2018Arithmetic of shtukas (minicourse)
Arithmétique et géométrie des chtoucas
Université de Caen

Shtuka cohomology and special values of Goss L-functions
Seminar der Forschergruppe 'Symmetrie, Geometrie und Arithmetik'
Universität Heidelberg

Regulator theory for elliptic shtukas
Arithmetic and algebraic geometry seminar
Universiteit van Amsterdam

Formulas of Tamagawa type in positive characteristic
This Week's Discoveries (the colloquium of the Faculty of Science)
Universiteit Leiden

2017Shtuka cohomology and special values of Goss L-functions
Conference «Arithmetic of Function Fields»
Universität Münster

Shtuka cohomology and special values of Goss L-functions
Intercity number theory seminar
Universiteit van Amsterdam

2016Shtuka cohomology and special values of Drinfeld modules
Seminar Zahlentheorie
ETH Zürich

2015Tannakian properties of Frobenius-invariant sheaves
Workshop on function fields, zeta functions and Drinfeld modular forms
Imperial College London

Seminars and conferences coorganized

2018 – 2019 Étale cohomology seminar (ETH Zürich)
http://people.math.ethz.ch/~mmornev/etale.html

2015Drinfeld modules seminar (Leiden)
http://people.math.ethz.ch/~mmornev/dm.html

2011School on algebra and algebraic geometry (Yekaterinburg)
http://www.marina-p.info/School-on-Algebra-and-Algebraic-Geometry

Reviewing

Refereed a book and several papers

Last modified: January 20, 2020.