38 citations · 116 across the 17 of their papers we have counts for
21 papers
On the modularity of elliptic curves over imaginary quadratic fields
Ana Caraiani, James Newton
In this paper, we establish the modularity of every elliptic curve , where runs over infinitely many imaginary quadratic fields, including for $d=1…
Symmetric power functoriality for Hilbert modular forms
James Newton, Jack A. Thorne
Let be a totally real field. We prove the existence of all symmetric power liftings of those cuspidal automorphic representations of associated to…
Symmetric power functoriality for holomorphic modular forms, II
James Newton, Jack A. Thorne
We establish the existence of the symmetric power liftings of all holomorphic Hecke eigenforms.
Automorphy lifting for residually reducible -adic Galois representations, II
Patrick B. Allen, James Newton, Jack A. Thorne
We prove new automorphy lifting theorems for residually reducible Galois representations of unitary type in which the residual representation is permitted to have an arbitrary numb…
Adjoint Selmer groups of automorphic Galois representations of unitary type
James Newton, Jack A. Thorne
Let be the -adic Galois representation attached to a cuspidal, regular algebraic automorphic representation of of unitary type. Under very mild hypotheses on…
Symmetric power functoriality for holomorphic modular forms
James Newton, Jack A. Thorne
Let be a cuspidal Hecke eigenform of level 1. We prove the automorphy of the symmetric power lifting for every . We establish the same result for a…
Monodromy for some rank two Galois representations over CM fields
Patrick B. Allen, James Newton
We investigate local-global compatibility for cuspidal automorphic representations for GL(2) over CM fields that are regular algebraic of weight . We prove that for a Dirich…
Potential automorphy over CM fields
Patrick B. Allen, Frank Calegari, Ana Caraiani +7
Let be a CM number field. We prove modularity lifting theorems for regular -dimensional Galois representations over without any self-duality condition. We deduce that al…
Parallel weight 2 points on Hilbert modular eigenvarieties and the parity conjecture
Christian Johansson, James Newton
Let F be a totally real field of degree d and let p be an odd prime which is totally split in F. We define and study one-dimensional partial eigenvarieties interpolating Hilbert mo…
Local Langlands correspondence in rigid families
Christian Johansson, James Newton, Claus Sorensen
We show that local-global compatibility (at split primes) away from holds at all points of the -adic eigenvariety of a definite -variable unitary group. The novelty is we…
Irreducible components of extended eigenvarieties and interpolating Langlands functoriality
Christian Johansson, James Newton
We study the basic geometry of a class of analytic adic spaces that arise in the study of the extended (or adic) eigenvarieties constructed by Andreatta--Iovita--Pilloni, Gulotta a…
Irreducible components of the eigencurve of finite degree are finite over the weight space
Shin Hattori, James Newton
Let p be a rational prime and N a positive integer which is prime to p. Let W be the p-adic weight space for GL_{2,Q}. Let C_N be the p-adic Coleman-Mazur eigencurve of tame level…
Patching and the completed homology of locally symmetric spaces
Toby Gee, James Newton
Under an assumption on the existence of p-adic Galois representations, we carry out Taylor--Wiles patching (in the derived category) for the completed homology of the locally symme…
Extended eigenvarieties for overconvergent cohomology
Christian Johansson, James Newton
Recently, Andreatta, Iovita and Pilloni have constructed spaces of overconvergent modular forms in characteristic p, together with a natural extension of the Coleman-Mazur eigencur…
Torsion Galois representations over CM fields and Hecke algebras in the derived category
James Newton, Jack A. Thorne
We construct algebras of endomorphisms in the derived category of the cohomology of arithmetic manifolds, which are generated by Hecke operators. We construct Galois representation…
Universal eigenvarieties, trianguline Galois representations, and p-adic Langlands functoriality
David Hansen
Using the overconvergent cohomology modules introduced by Ash and Stevens, we construct eigenvarieties associated with reductive groups and establish some basic geometric propertie…
Towards local-global compatibility for Hilbert modular forms of low weight
James Newton
We prove some new cases of local--global compatibility for the Galois representations associated to Hilbert modular forms of low weight (that is, partial weight one).
Level raising for p-adic Hilbert modular forms
James Newton
This paper generalises previous work of the author to the setting of overconvergent -adic automorphic forms for a definite quaternion algebra over a totally real field. We prove…
Completed cohomology of Shimura curves and a p-adic Jacquet-Langlands correspondence
James Newton
We study indefinite quaternion algebras over totally real fields F, and give an example of a cohomological construction of p-adic Jacquet-Langlands functoriality using completed co…
Level raising and completed cohomology
James Newton
We describe an application of Poincaré duality for completed homology spaces (as defined by Emerton) to level raising for p-adic modular forms. This allows us to give a new descrip…
Geometric level raising for p-adic automorphic forms
James Newton
We present a level raising result for families of p-adic automorphic forms for a definite quaternion algebra D over the rational numbers. The main theorem is an analogue of a theor…