Browsing Department of Pure Mathematics and Mathematical Statistics (DPMMS) by Subject "Elliptic curves"
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Noncommutative Iwasawa theory of elliptic curves at primes of multiplicative reduction
(University of CambridgeDepartment of Pure Mathematics and Mathematical Statistics, 20100706)Let E be an elliptic curve defined over the rationals Q, and p be a prime at least 5 where E has multiplicative reduction. This thesis studies the Iwasawa theory of E over certain false Tate curve extensions F[infinity], ...

On the main conjectures of Iwasawa theory for certain elliptic curves with complex multiplication
(University of CambridgeMathematics, 20170530)The conjecture of Birch and SwinnertonDyer is unquestionably one of the most important open problems in number theory today. Let $E$ be an elliptic curve defined over an imaginary quadratic field $K$ contained in $\mathbb{C}$, ...