We show that if $\textit{p}$ is a prime, then all elliptic curves de ned over the cyclotomic $\mathbb{Z}$$_{p}$-extension of Q are modular.This work was carried out while the author served as a Clay Research Fellow
The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally ...
(Article begins on next page) The Harvard community has made this article openly available. Please s...
Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of ...
We show that if p is a prime, then all elliptic curves defined over the cyclotomic Zp-extension of Q...
A Q-curve is an elliptic curve over a number field K which is geometrically isogenous to each of its...
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...
ABSTRACT. We survey our joint work with Paul Gunnells and Farshid Hajir on a compu-tational investig...
We prove that all elliptic curves defined over totally real cubic fields are modular. This builds on...
AbstractLet E be a CM elliptic curve defined over an algebraic number field F. In the previous paper...
AbstractIn this paper we prove the simultaneous potential modularity for a finite number of elliptic...
Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of ...
The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally ...
(Article begins on next page) The Harvard community has made this article openly available. Please s...
Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of ...
We show that if p is a prime, then all elliptic curves defined over the cyclotomic Zp-extension of Q...
A Q-curve is an elliptic curve over a number field K which is geometrically isogenous to each of its...
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...
ABSTRACT. We survey our joint work with Paul Gunnells and Farshid Hajir on a compu-tational investig...
We prove that all elliptic curves defined over totally real cubic fields are modular. This builds on...
AbstractLet E be a CM elliptic curve defined over an algebraic number field F. In the previous paper...
AbstractIn this paper we prove the simultaneous potential modularity for a finite number of elliptic...
Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of ...
The following theorem is well known to experts. Theorem 0.1. Let E an elliptic curve over a totally ...
(Article begins on next page) The Harvard community has made this article openly available. Please s...
Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of ...
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