• The Inria's Research Teams produce an annual Activity Report presenting their activities and their results of the year. These reports include the team members, the scientific program, the software developed by the team and the new results of the year. The report also describes the grants, contracts and the activities of dissemination and teaching. Finally, the report gives the list of publications of the year.

• Legal notice
• Personal data

## Section: Highlights of the Year

### Highlights of the Year

• In [24], Antonin Guilloux and Julien Marché propose a closed formula for the Mahler measure of a class of bivariate polynomials with rational coefficients (exact polynomials). This class of polynomials contains A-polynomials of knot complements and the authors express the Mahler Measure of a volume function defined on the vanishing set of the polynomial.

As computing Mahler measures is a well known challenge in number theory and as computing volumes of knots complements is a critical objective for our research on character varieties, this result make an original bridge between our two main research directions.

• A key encapsulation message named Mersenne-756839 has been submitted at the NIST call for standard on Post-Quantum Cryptography. This submission is a complement to the article [13] presented in three invited lectures by Antoine Joux (JFLI (UMI CNRS) / Tokyo university , Nanyang Technological University, LATtice Crypto and Algorithms conference).

• Our agreement with WATERLOO MAPLE INC. has been reviewed for a two years term in 2018. Out next objective is the diffusion of our new solver for univariate polynomials with real coefficients.