Mickaël Montessinos

About

Wed, 23 Sep 2026 12:13:56 +0300

I am a postdoctoral researcher in Computational Algebra at Eötvös Loránd University, under the supervision of Péter Kutas.
My research interests lie in algorithmic number theory, computer algebra and cryptography. My current research focuses on the cryptanalysis of post-quantum protocols, mainly those based on multivariate polynomials or isogenies.

Talks

Mon, 09 Feb 2026 17:44:56 +0300

Real multiplication on superspecial abelian varieties and the strict class group. Leuven Isogeny Days 7, Leuven. September 2026. [Slides]
Computing isomorphisms of projective varieties using Lie algebras. AM-PQC workshop, Ohrid. August 2026. [Slides]
Solving the Explicit Isomorphism Problem using Amitsur cohomology. Number theory seminar, Bordeaux. June 2026. [Slides]
Lie algebras and the security of cryptosystems based on classical varieties in disguise. Eurocrypt 2026, Rome. May 2026. [Slides]
Problems related to the computation of the endomorphism ring for principally polarised superspecial abelian surfaces. Theoretical Science Visiting Program, OIST. January 2026. [Slides]
The Splitting Problem in Central Simple Algebras. 19th Atelier PARI/GP 2024, ENS Lyon. January 2024. [Slides]
The Explicit Isomorphism Problem. Arithmetic Geometry Seminar, Bayreuth University. January 2023. [Slides]
Finding Nontrivial Zeros of Quadratic Forms over Rational Function Fields of Characteristic 2. ISSAC22, July 2022. [Slides]
Elliptic Curves in Post-Quantum Cryptography. Number Theory Seminar, Vilnius University. May 2022. [Slides]

Research

Thu, 12 May 2022 17:44:56 +0300

Papers: Link to heading

Wouter Castryck, Mingjie Chen, Péter Kutas, Jun Bo Lau, Alexander Lemmens, Mickaël Montessinos. Lie algebras and the security of cryptosystems based on classical varieties in disguise. Advanced in Cryptology - EUROCRYPT 2026. [Link] [Eprint] [Code]
Péter Kutas, Mickaël Montessinos. Efficient computations in central simple algebras using Amitsur cohomology. Journal of Algebra 665 (2025) pages 255-281. [Link] [Preprint]
Mickaël Montessinos: Algebraic algorithms for vector bundles over curves. Journal of Algebra and Its Applications 25 - 5 (2026). [Link] [Preprint] [Code]
Tímea Csahók, Péter Kutas, Mickaël Montessinos and Gergely Zábrádi. Explicit isomorphisms of quaternion algebras over quadratic global fields. ANTS XV, Research in Number Theory 8, 77 (2022). [Link] [Preprint] [Code]
Tímea Csahók, Péter Kutas, Mickaël Montessinos and Gergely Zábrádi. Finding Nontrivial Zeros of Quadratic Forms over Rational Function Fields of Characteristic 2.In Proceedings of the 2022 International Symposium on Symbolic and Algebraic Computation (ISSAC ’22). pp 235—244. [Link] [Preprint] [Code]

Thesis: Link to heading

Mickaël Montessinos. The Explicit Isomomorphism Problem on Global Fields. Phd Thesis, Vilnius University [Link]

Preprints: Link to heading

Mickaël Montessinos. Equivalent computational problems for superspecial abelian surfaces. [Eprint] [ArXiv] [Code]

Software

Thu, 12 May 2022 17:44:56 +0300

Vector Bundles Link to heading

A Sagemath package for manipulating vector bundles over algebraic curves on finite fields. The algorithms for it only interact with the function field of the curve.
You can take a look at the home of the project and also see its documentation.

Mon, 01 Jan 0001 00:00:00 +0000

I can be reached at lastname at inf.elte.hu