International conferences and workshops on Antoine Leudière

Point counting without points

Thu, 21 Aug 2025 00:00:00 +0000

Drinfeld modules—the function field counterpart to elliptic curves—do not have points, in the traditional sense. But we’re going to count them anyway! The first methods achieving this were inspired by classical elliptic curve arithmetics; we will instead explore an algorithm that is based on so-called Anderson motives (joint work with X. Caruso).

Algorithms for Drinfeld modules and their isogenies

Wed, 28 Aug 2024 00:00:00 +0000

Overview of Drinfeld modules and their definitions; some common properties with elliptic curves; Deuring correspondence; efficient computation of isogenies; and some perspectives.

Drinfeld modules in SageMath

Wed, 26 Jul 2023 00:00:00 +0000

Support presentation for the Software Presentation entitled Drinfeld modules in SageMath accepted at ISSAC'23 (arXiv link).