We survey results and conjectures concerning the modularity of elliptic curves over number fields.The author’s work received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 714405)
This thesis is an exposition on the theory of elliptic curves and modular forms as applied to the Fe...
This is an exposition of some of the main features of the theory of elliptic curves and modular form...
Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of ...
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...
(Article begins on next page) The Harvard community has made this article openly available. Please s...
AbstractLet E be a CM elliptic curve defined over an algebraic number field F. In the previous paper...
A Q-curve is an elliptic curve over a number field K which is geometrically isogenous to each of its...
We prove that all elliptic curves defined over totally real cubic fields are modular. This builds on...
We show that if p is a prime, then all elliptic curves defined over the cyclotomic Zp-extension of Q...
We show that if $\textit{p}$ is a prime, then all elliptic curves de ned over the cyclotomic $\mathb...
AbstractIn this paper we prove the simultaneous potential modularity for a finite number of elliptic...
AbstractThe purpose of this paper is to decide the conditions under which a CM elliptic curve is mod...
This thesis is an exposition on the theory of elliptic curves and modular forms as applied to the Fe...
This is an exposition of some of the main features of the theory of elliptic curves and modular form...
Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of ...
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...
(Article begins on next page) The Harvard community has made this article openly available. Please s...
AbstractLet E be a CM elliptic curve defined over an algebraic number field F. In the previous paper...
A Q-curve is an elliptic curve over a number field K which is geometrically isogenous to each of its...
We prove that all elliptic curves defined over totally real cubic fields are modular. This builds on...
We show that if p is a prime, then all elliptic curves defined over the cyclotomic Zp-extension of Q...
We show that if $\textit{p}$ is a prime, then all elliptic curves de ned over the cyclotomic $\mathb...
AbstractIn this paper we prove the simultaneous potential modularity for a finite number of elliptic...
AbstractThe purpose of this paper is to decide the conditions under which a CM elliptic curve is mod...
This thesis is an exposition on the theory of elliptic curves and modular forms as applied to the Fe...
This is an exposition of some of the main features of the theory of elliptic curves and modular form...
Let F be the cyclotomic field of fifth roots of unity. We computationally investigate modularity of ...
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