Elliptic curves

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A cubic equation in the plane has solutions which satisfy a group law. These are called elliptic curves. At a very basic level one could look at the situation over finite fields, where everything is very hands-on and computable, and where the subject plays a key role in cryptography. Fancier versions would involve looking at it over the integers, where the problems are much harder; they touch on very modern mathematics, ranging from the proof of Fermat's Last Theorem to the conjecture of Birch and Swinnerton-Dyer.

Suitable for student who have completed MATH2322.

Updated:  29 April 2017/Responsible Officer:  Director/Page Contact:  School Manager