Elliptic curves and modularity

Cites Work

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Congruences between Hilbert modular forms: constructing ordinary lifts
On torsion in the cohomology of locally symmetric varieties
Moduli of finite flat group schemes, and modularity
Finiteness theorems for abelian varieties over number fields.
Heegner points and derivatives of $L$-series
On the modular representations of degree two of $\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})$
The Taylor-Wiles construction and multiplicity one
On the modularity of certain $\text{GL}_2(\mathbb{F}_7)$ Galois representations
On the asymptotic Fermat's last theorem over number fields
Modularity lifting beyond the Taylor-Wiles method
Modular elliptic curves and Fermat's Last Theorem
Ring-theoretic properties of certain Hecke algebras
Elliptic curves over $\mathbb{Q}_\infty$ are modular
Abelian surfaces over totally real fields are potentially modular
Elliptic curves over totally real cubic fields are modular
On the meromorphic continuation of degree two $L$-functions
On Serre's reciprocity conjecture for 2-dimensional mod $p$ representations of $\text{Gal}(\overline{\mathbb Q}/\mathbb Q)$
Elliptic curves over real quadratic fields are modular
Automorphic forms on GL (2)
Automorphy of some residually dihedral Galois representations
On the modularity of elliptic curves over 𝐐: Wild 3-adic exercises
Generalized Fermat equations: A miscellany
The asymptotic Fermat’s Last Theorem for five-sixths of real quadratic fields
TORSION GALOIS REPRESENTATIONS OVER CM FIELDS AND HECKE ALGEBRAS IN THE DERIVED CATEGORY
Artin’s conjecture for representations of octahedral type
Sur les représentations $l$-adiques associées aux formes modulaires de Hilbert
The asymptotic growth of torsion homology for arithmetic groups
Elliptic curves over totally real quartic fields not containing √5 are modular
Heights of Heegner points on Shimura curves.
Solving 𝑆-unit, Mordell, Thue, Thue–Mahler and Generalized Ramanujan–Nagell Equations via the Shimura–Taniyama Conjecture

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