ELENA BERARDINI

Algebraic Geometry & Coding Theory

I am a Chaire de Professeur Junior CNRS (tenure-track position) in the Number Theory research team at the University of Bordeaux.

On June 18, 2020, I obtained my Ph.D. in Mathematics at Aix-Marseille University, under the supervision of Yves Aubry and David Kohel. You can have a look at my Ph.D. thesis Algebraic geometry codes from surfaces over finite fields here.

My main research interests lie in Arithmetic Geometry and Coding Theory (add 1 tbsp of Number Theory, a pinch of Computer Algebra, and stir gently). You can find the full recipe for my research here.

Feel free to contact me for further information!

 

 

Top News

I am one of the invited speakers of the conference “Mathematics of Post-Quantum Cryptanalysis” to be held from 5th August until 9th August 2024 in Budapest (Hungary). More info to come!

My joint work with X. Caruso, Algebraic Geometry codes in the sum-rank metric, has been accepted for publication in IEEE Transactions on Information Theory.
Have a look at it on arXiv, HAL, or on the IEEE page.

My joint work with A. Couvreur and G. Lecerf, A proof of the Brill-Noether method from scratch, has been published in ACM Communications in Computer Algebra.
You can have a look at it on arXiv and HAL, and on the ACM page.

Together with J. Nardi, I will supervise one of the research groups at Diversity in Finite Fields and Coding Theory
This is a research workshop to be held in IMPA (Rio de Janeiro) from 7 to 12 July 2024. 

The preprint of my joint work with A. Caminata and A. Ravagnani, Structure of CSS and CSS-T Quantum Codes, is online! Have a look at it on arXiv.


Recurring events I am involved in

I am organising with J. Nardi the symposium CAIPI (Coding theory, cryptogrAphy, arIthmetic geometry and comPuter algebra Itinerant symposium): an itinerant mathematics seminar on the topics of arithmetic geometry, coding theory, and cryptography, including also computational aspects.
The second edition will be on February 22-23, in Marseille.
Have a look at the website, and subscribe to the mailing list for more info!

Since September 2023, I have been organising with Léo Poyeton the Number Theory seminar at the University of Bordeaux.
Would you like to give a talk? Drop me an email!