Maxim Mornev

This CV including the contact details is available in a PDF file.

Preprints and papers

(with Richard Pink) Weil representations associated to isocrystals over function fields. arXiv:2507.20807

(with Richard Pink) Local Kummer theory for Drinfeld modules. arXiv:2402.08254

Local monodromy of Drinfeld modules. Compositio Mathematica 160 (2024), no. 11, 2656–2683.

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. arXiv:1808.00839
This is my PhD thesis with minor updates.

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

Employment

2026Complutense University of Madrid, profesor ayudante doctor.

2025ICMAT, post-doc in the group of Daniel Macias.

2021EPFL, SNSF Ambizione post-doc in the group of Maryna Viazovska.

2018ETH Zürich, post-doc in the group of Richard Pink.

Grants

2021SNSF Ambizione Postdoctoral Fellowship (4 years).

2019ETH Zürich Postdoctoral Fellowship (2 years).

Education

2018PhD, Universiteit Leiden, Università degli Studi di Milano.
Erasmus Mundus ALGANT program.

Advisors: Lenny Taelman (Amsterdam), Fabrizio Andreatta (Milano) and Bas Edixhoven (Leiden).
Thesis: Shtuka cohomology and special values of Goss L-functions.
https://hdl.handle.net/1887/61145

2013MSc, Universiteit Leiden (1st year), Université Paris-Sud (2nd year).
Erasmus Mundus ALGANT program.

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

2011MSc, Mathematics and Computer Science, Ural Federal University.

Doctoral and master scholarships

2013Leiden/Huygens Fellowship (4 years).

2013Erasmus Mundus ALGANT Doctoral Scholarship (4 years).

2011Erasmus Mundus ALGANT Master Scholarship (2 years).

Teaching

Riemann surfaces (MATH-410).
EPFL, Fall 2023 and Fall 2024, master course, lecturer.

Elliptic curves.
ETH Zürich, Spring 2020, reading course for master students, lecturer.

p-adic Galois representations.
ETH Zürich, Fall 2019, graduade course, lecturer.

Étale cohomology seminar.
ETH Zürich, Fall 2018 – Spring 2019, co-organized with Richard Pink.
https://max-mornev.github.io/etale.html

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

Invited lecture series

2020Arithmetic of function fields.
ICMAT, Universidad Autónoma de Madrid.

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

2018Arithmetic of shtukas.
Arithmétique et géométrie des chtoucas.
Université de Caen.

Organizational experience

2026Thematic programme «Arithmetic of global function fields» at ICMAT.
https://www.icmat.es/RT/2026/AGFF

2015Pavel Solomatin and I organized a research seminar on Drinfeld modules:
https://max-mornev.github.io/dm.html

2011School on algebra and algebraic geometry (Yekaterinburg).
https://marina-p.info/school-on-algebra-and-algebraic-geometry

Service

Reviewed a grant application, a book and numerous papers.