CORDIS Project
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This project investigates Galois representations of elliptic curves, focusing on rational and low degree points on modular curves. It aims to extend existing mathematical methods to explore conditions where traditional theories fail, contributing to the understanding of modularity and number theory.
The study of Galois representations of elliptic curves is at the heart of modern arithmetic geometry, and intimately related to modularity theorems and the proof of Fermat's Last Theorem.
Galois representations of elliptic curves are classified by their images.
Associated to a possible image is a modular curve which is a moduli space of elliptic curves with representation having that image.
The study of rational and low degree points on modular curves underlies the celebrated theorems of Mazur,…
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