Hi, I am Édouard, I hold a teaching position (ATER) in the mathematics department of Université de Versailles since September 2020.

I am curious about almost everything related to mathematics,
computer science, and teaching. 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.

## Teaching

You can find more details in the dedicated section.

- 2020 – 2022
- Algebraic structures
- In-depth mathematics
- Scientific computing (Université de Versailles)
- Introduction to Information Theory (Université de Versailles)
- Calculus (Université de Versailles)
- Oral examiner in mathematics (Lycée Robert Doisneau and Parc des loges)
- 2017 – 2020
- Introduction to programming (Université de Versailles)
- Cryptography (L3) (Université de Versailles)
- Cryptography (M1) (Université de Versailles)
- 2016 – 2017
- Oral examiner in mathematics (Lycée Jacques Prévert, 36h)
- 2013 – 2014
- Tutor in mathematics (Université Paris-Sud, 30h)

## 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)

## Other interests

I also practice and teach **improvisation theatre**, that is why you can also
find ressources (in French) about some “lessons” I gave.