Research
I am curious about almost everything related to mathematics and computer science. My main domains of interest are computer algebra, algorithmic number theory, and cryptology. On top of that, I like to spread the idea of free software and free licenses in general.
If you want to know more, you can send me an e-mail!
PhD
- Efficient Arithmetic of Finite Field Extensions
- Advisors: Luca De Feo, Hugues Randriambololona and Éric Schost.
- Manuscript, slides
Publications
- Trisymmetric multiplication formulae in finite fields
- WAIFI 2020
- with Hugues Randriam.
- Standard Lattices of Compatibly Embedded Finite Fields
- ISSAC 2019
- with Luca De Feo and Hugues Randriam.
- Lattices of compatibly embedded finite fields in Nemo/Flint
- ISSAC 2018
- with Luca De Feo et Hugues Randriam.
Software
I like to play with Sage or Nemo/Flint, and I developped some software using it. Details can be found in my GitHub repositories.
- TriSym
- A Julia/Nemo library to compute trisymmetric decompositions for the multiplication in finite fields.
- LatticeGFH90
- A Julia/Nemo library to make lattices of compatibly embedded finite fields.
- DlogGF
- A Julia/Nemo library containing algorithms for computing discrete logarithms in finite fields.
- normalBases
- Library for computing normal bases based on Flint.
Talks
- Efficient Arithmetic of Finite Field Extensions (July 2021, PhD defense)
- The mathematics of secrets (July 2021, Mathematical Summer in Paris), video
- Trisymmetric multiplication formulas in finite fields(October 2020, Cryptography seminar, Versailles)
- Trisymmetric multiplication formulae in finite fields (July 2020, WAIFI 2020)
- Standard lattices of compatibly embedded finite fields (July 2019, ISSAC’19)
- Standard lattices of compatibly embedded finite fields (May 2019, UVSQ)
- Standard lattices of compatibly embedded finite fields (February 2019, JNCF)
- Informal presentation of my thesis (November 2018, Math Innov’ day)
- Latices of compatibly embedded finite fields in Nemo/Flint (July 2018, ISSAC’18)
- Lattices of compatibly embedded finite fields (December 2017, GT BAC, Télécom ParisTech), code demo
- Discrete logarithm in finite field of small characteristic (October 2017, Magistère, Université Paris-Sud)
- Discrete logarithm in finite field of small characteristic (September 2017, Soutenance de M2, Université de Versailles)
- Discrete logarithm in finite field of small characteristic (September 2017, University of Waterloo)
Miscellaneous
- Master’s thesis
- Université Paris-Sud, 2013–2017
- Document containing all my writings from my time in university.