Section: Highlights of the Year
Highlights of the Year
In , 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  presented in three invited lectures by Antoine Joux (JFLI (UMI CNRS) / Tokyo university , Nanyang Technological University, LATtice Crypto and Algorithms conference).