Members Working group Logbook

Presentation

AVANTI is an action-team of LabEx PERSYVAL, between Laboratoire Jean Kuntzmann and Institut Fourier. It is devoted to the study of the mathematical foundations of isogeny-based cryptography, with a particular focus on higher-dimensional abelian varieties, endomorphism rings of supersingular elliptic curves and abelian surfaces, together with the development of efficient number-theoretic algorithms. The project is led by Annamaria Iezzi and Vanessa Vitse and runs from March 2026 to December 2029.

There will be an 18-month post-doc position in the AVANTI group opening in Fall 2027. More information will be published later, but interested candidates can already contact the PIs of the project.

Members

Picture of Bruno Grenet Bruno Grenet is an associate professor at Laboratoire Jean Kuntzmann. His research focuses primarily on algebraic computation, encompassing its theoretical aspects (algorithms, complexity), practical aspects (implementations, high-performance computing), and applications (cryptography, error-correcting codes). In particular, his expertise lies in polynomial algorithms and their use in cryptographic protocols. A significant portion of his teaching focuses on cryptography.

Picture of Annamaria Iezzi Annamaria Iezzi is an associate professor at the Laboratoire Jean Kuntzmann. Her research lies at the interface of arithmetic geometry, computational number theory, and cryptography, with a particular focus on mathematical problems underlying the security of isogeny-based schemes. In particular, she studies the structure of supersingular isogeny graphs and the efficient computation of endomorphism rings of supersingular elliptic curves and abelian surfaces over finite fields. She is actively involved in the dissemination of mathematics to the general public and was awarded the d’Alembert Prize for mathematical outreach by the Société Mathématique de France for the organization of Pi Day 2016 with the Pi Day association.

Picture of Samuel Le Fourn Samuel Le Fourn is an associate professor at the Institut Fourier. His research lies at the core of Diophantine geometry and arithmetic geometry, with a particular focus on rational points on modular curves and related topics. His work ranges from Galois representations associated with the torsion of elliptic curves to isogeny theorems for abelian varieties over function fields.

Picture of Elisa Lorenzo García Elisa Lorenzo García is an associate professor at the Institut de Mathématiques de Marseille (Aix-Marseille Université). Her research mainly focuses on moduli spaces of algebraic curves and abelian varieties from an effective perspective, while always considering possible applications of her work to information theory (cryptography and coding theory). She is also Scientific Director of CIMPA, a member of the international relations committee of the RSME (Spanish Mathematical Society), editor of the journal Advances in Mathematics of Communications, a member of the Board of FoCM, and part of the organizing team for the next European Girls’ Mathematical Olympiad.

Picture of Antoine de Tarlé Antoine de Tarlé is a PhD student since September 2025 at Université Grenoble Alpes, under the supervision of Bruno Grenet and Annamaria Iezzi on the topic of Security challenges related to endomorphism rings in isogeny-based cryptography. He graduated from École Polytechnique and completed his Master degree in Applied Algebra at Université de Versailles.

Picture of Vanessa Vitse Vanessa Vitse is an associate professor at the Institut Fourier. Her expertise lies in cryptography in general, and more specifically in protocols based on elliptic curves or multivariate polynomial systems. In particular, she has contributed to several record computations of discrete logarithms on algebraic curves and to the solving of polynomial systems.

Students

  • Martin Gandon (Feb-July 2026) is a CySec Master student working on Effective Group Actions under the supervision of Annamaria Iezzi.
  • Célian Ranguis (June-July 2026) is a 1st year master student in mathematics, working on Elliptic curves in cryptography under the supervision of Annamaria Iezzi.
  • Clémentine Belaid (June-Aug 2026) is a 3rd year bachelor student in computer science/mathematics, working on Supersingular isogeny graphs in cryptography under the supervision of Annamaria Iezzi.

The AVANTI working group

The AVANTI working group aims to facilitate regular scientific exchanges and to build a common foundation of knowledge among its members. It meets approximately once a month and will be enriched by the invitation of researchers who have recently achieved significant advances on topics directly related to the project:

  • 08/06/26: Effective group actions (EGA), Martin Gandon, during his internship at the Laboratoire Jean Kuntzmann.
  • 28/04/26: The rise and fall of SIDH, Annamaria Iezzi

Logbook

  • On 09-10/05/26, Martin Gandon, Annamaria Iezzi and Antoine de Tarlé participated in the Brainstorm Days of the Isogeny club, an affiliated event to Eurocrypt 2026 in Rome, Italy.

  • From 05/05/26 to 08/05/26, Martin Gandon, Annamaria Iezzi, Antoine de Tarlé and Vanessa Vitse participated in the workshop MaGIC 2026 (Marche Workshop on Group Actions in Cryptography) in Borgo Lanciano, Italy.

  • From 02/03/26 to 13/03/26, Annamaria Iezzi organized the CIMPA School on Algebraic Geometric Methods in Information Theory in Santa Fe, Argentina.

  • From 07/03/26 to 11/03/26, Antoine de Tarlé participated in the Arizona Winter School 2026 on Computational Aspects of Arithmetic Geometry and Cryptography in University of Arizona in Tucson, USA.