My research fields are: Cryptography, Applied Mathematics, Computer Algebra, and Computer Science.
In particular, I work on Algebraic Attacks against Post-Quantum cryptosystems.
In order to study the security of these cryptosystems, I evaluate the complexity of computing Gröbner bases of systems of multivariate polynomials over finine fields.

I am one of the authors of the current best attacks against the Rank Decoding and MinRank problems; these two problems are at the core of rank and multivariate-based cryptography.

I am part of the RQC team; Rank Quasi-Cyclic (RQC) is a rank-based cryptosystem which made it to the 2nd Round of the NIST Post-Quantum Standardization Process.

I am one of the scientists who introduced the SquareSpace problem in 2022. This problem relies on the factorization of vector spaces, and we used it to design new post-quantum signature and encryption schemes.

• December 2022 - Algebraic Cryptanalysis and Contributions to Post-Quantum Cryptography based on Error-Correcting Codes in the Rank-metric [pdf here (in English)] .
  University of Limoges, XLIM, UMR CNRS 7252, France.
  Supervisors: Philippe Gaborit and Vincent Neiger .

• July - August 2022 - 2-month internship: Implementation in C of a SquareSpace-based signature .
  Student: Frédéric Canaud, Master 1 in Computer Science, University of Limoges.
• July - August 2022 - 2-month internship: Algebraic Attacks against the SquareSpace problem .
  Student: Romaric Neveu, Master 1 in Mathematics, University of Limoges.

• December 2021 - Cryptanalysis of the Rank Preserving Signature,
  Nicolas Aragon, Maxime Bros, Philippe Gaborit.
  18th IMA International Conference on Cryptography and Coding (IMACC 2021), virtual conference.
• December 2020 - Improvements of Algebraic Attacks for solving the Rank Decoding and MinRank problems,
  Magali Bardet, Maxime Bros, Daniel Cabarcas, Philippe Gaborit, Ray Perlner, Daniel Smith-Tone, Jean-Pierre Tillich, Javier Verbel.
  ASIACRYPT 2020, virtual conference. [article here].
• May 2020 - An Algebraic Attack on Rank Metric Code-Based Cryptosystems,
  Magali Bardet, Pierre Briaud, Maxime Bros, Philippe Gaborit, Vincent Neiger, Olivier Ruatta, Jean-Pierre Tillich.
  EUROCRYPT 2020, virtual conference. [article here].

• April 2020 - Rank Quasi-Cyclic (RQC) [website], [documentation]. Carlos Aguilar Melchor, Nicolas Aragon, Slim Bettaieb, Loïc Bidoux, Olivier Blazy, Maxime Bros, Alain Couvreur, Jean-Christophe Deneuville, Philippe Gaborit, Adrien Hauteville, Gilles Zémor.
  2nd Round of the National Institute of Standards and Technology (NIST) Post-Quantum Standardization Process.

• September 2019 - On the Complexity of Gröbner Basis Attacks for the Rank Decoding Problem. Report of a Six-Month Research Internship at the University of Limoges, France.
  Supervisors: Philippe Gaborit, Vincent Neiger, and Olivier Ruatta.

• February 2019 - Cryptanalysis of MinRank.
  Master 2 of Applied Mathematics, University of Limoges.
• January 2019 - On the Complexity of the Rank Syndrome Decoding Problem.
  Master 2 of Applied Mathematics, University of Limoges. Coauthor: Olivier Gimenez.
• May 2018 - Privacy in a blockchain : Bitcoin analysis and Zcash.
  Master 1 of Applied Mathematics, University of Limoges. Coauthor: Do Dai Chi.
• May 2017 - Théorème de l’Universalité de Wigner : Démonstration combinatoire et Étude empirique de la vitesse de convergence.
  Master 1 of Pure Mathematics, University of Burgundy.