CORDIS Project
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This project extends the Darmon Programme, focusing on rational points on elliptic curves. It aims to provide explicit constructions and data to advance research in number theory and the Birch and Swinnerton-Dyer Conjecture.
Elliptic curves are the heart of contemporary research in number theory.
For example, their modularity played a crucial role in Wiles' proof of Fermat's Last Theorem.
Understanding their rational points is the subject of the Birch and Swinnerton-Dyer Conjecture (BSD), one of the seven $1M Clay Mathematics Institute Millennium Prizes.
This proposal is concerned with rational points on elliptic curves and linked to both BSD and modularity.The Darmon Programme is an ambitious project initiated by…
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