We prove that all elliptic curves defined over totally real cubic fields are modular. This builds on previous work of Freitas, Le Hung and Siksek, who proved modularity of elliptic curves over real quadratic fields, as well as recent breakthroughs due to Thorne and to Kalyanswamy
We show that if $\textit{p}$ is a prime, then all elliptic curves de ned over the cyclotomic $\mathb...
We prove that many representations $\overline{\rho} : \operatorname{Gal}(\overline{K} / K) \to \oper...
We show that if p is a prime, then all elliptic curves defined over the cyclotomic Zp-extension of Q...
(Article begins on next page) The Harvard community has made this article openly available. Please s...
AbstractWe study generalisations to totally real fields of the methods originating with Wiles and Ta...
We survey results and conjectures concerning the modularity of elliptic curves over number fields.Th...
We survey results and conjectures concerning the modularity of elliptic curves over number fields.Th...
We survey results and conjectures concerning the modularity of elliptic curves over number fields.Th...
We survey results and conjectures concerning the modularity of elliptic curves over number fields.Th...
We survey results and conjectures concerning the modularity of elliptic curves over number fields.Th...
The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally ...
In this paper, we establish the modularity of every elliptic curve $E/F$, where $F$ runs over infini...
We study the finiteness of low degree points on certain modular curves and their Atkin--Lehner quoti...
AbstractWe study generalisations to totally real fields of the methods originating with Wiles and Ta...
We investigate a notion of "higher modularity" for elliptic curves over function fields. Given such ...
We show that if $\textit{p}$ is a prime, then all elliptic curves de ned over the cyclotomic $\mathb...
We prove that many representations $\overline{\rho} : \operatorname{Gal}(\overline{K} / K) \to \oper...
We show that if p is a prime, then all elliptic curves defined over the cyclotomic Zp-extension of Q...
(Article begins on next page) The Harvard community has made this article openly available. Please s...
AbstractWe study generalisations to totally real fields of the methods originating with Wiles and Ta...
We survey results and conjectures concerning the modularity of elliptic curves over number fields.Th...
We survey results and conjectures concerning the modularity of elliptic curves over number fields.Th...
We survey results and conjectures concerning the modularity of elliptic curves over number fields.Th...
We survey results and conjectures concerning the modularity of elliptic curves over number fields.Th...
We survey results and conjectures concerning the modularity of elliptic curves over number fields.Th...
The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally ...
In this paper, we establish the modularity of every elliptic curve $E/F$, where $F$ runs over infini...
We study the finiteness of low degree points on certain modular curves and their Atkin--Lehner quoti...
AbstractWe study generalisations to totally real fields of the methods originating with Wiles and Ta...
We investigate a notion of "higher modularity" for elliptic curves over function fields. Given such ...
We show that if $\textit{p}$ is a prime, then all elliptic curves de ned over the cyclotomic $\mathb...
We prove that many representations $\overline{\rho} : \operatorname{Gal}(\overline{K} / K) \to \oper...
We show that if p is a prime, then all elliptic curves defined over the cyclotomic Zp-extension of Q...
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