Maxim Mornev

I am a post-doc at the Instituto de Ciencias Matemáticas in Madrid working in the group of Daniel Macias. My research area is number theory, more specifically, Drinfeld modules and shtukas.

Between 2018 and 2025 I was a post-doc with Richard Pink at ETH Zürich and with Maryna Viazovska at EPFL. I obtained my PhD degree from Universiteit Leiden and Università degli Studi di Milano in 2018.

Papers

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

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.
This is my PhD thesis with minor updates.

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

Links

Marina Prokhorova was my first mentor in mathematics.

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

My face.

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