Emmanuel Thomé

I am a permanent research scientist (CR1) at INRIA Nancy, project CARAMEL.

Grants

I am the scientific leader (coordinator) of the ANR Catrel project, focusing on discrete logarithms over finite fields. (ANR Blanc project, 2013–2016).
I was the local correspondent of the ANR Chic project, focusing on hyperelliptic curves, isogenies, and point counting problems (scientific leader/coordinator: David Lubicz, IRMAR, Rennes). (ANR Blanc project, 2009–2012).
I was a member of the ANR Cado project, focusing on the Number field sieve algorithm (scientific leader/coordinator: Pierrick Gaudry, LORIA). This project was the original source of funding which led to the cado-nfs software.

Sparse linear algebra over finite fields and the block Wiedemann algorithm ; relevant papers 1, 2, 3.
See also some software: cado-nfs, matlingen.
The number field sieve and its cousins, notably for computing discrete logarithms over finite fields ; relevant papers 1, 2, 3, 4, 5. 6.
See also some software: cado-nfs, as well as an example sage worksheet for NFS.
Discrete logarithms over algebraic curves ; relevant papers 1, 2, 3.
Computer arithmetic in general, in particular finite field and polynomial arithmetic ; relevant papers 1, 2, 3, 4.
See also some software: gf2x, mpfq, mploc.
Complex multiplication in genus 2, and computation of class polynomials using fast evaluation of theta constants.
Preliminary database available here (being populated).

I have a separate page with the complete list of my Publications.