3 citations · 7 across the 10 of their papers we have counts for
11 papers
Modular elliptic curves and hyperbolic uniformization
Neil Dummigan, Devendra Tiwari
In an article published a few years before the modularity of elliptic curves over $\Q$ was proved, Mazur \cite{maz} looked at modularity as a purely complex analytic phenomenon, de…
The 2-part of the Bloch-Kato conjecture, and indivisibility results, for of some elliptic curves
Neil Dummigan, Vasily Golyshev, Rob de Jeu +1
For certain integers , we investigate the 2-part of the Bloch-Kato conjecture for , where is part of a (twisted) Legendre family that is 2-iso…
Modularity of a certain "rank-2 attractor" Calabi-Yau threefold
Neil Dummigan
We attempt to prove that the 4-dimensional Galois representations associated with a certain Calabi-Yau threefold are reducible, with 2-dimensional composition factors coming from s…
Quinary forms and paramodular forms
Neil Dummigan, Ariel Pacetti, Gustavo Rama +1
We work out the exact relationship between algebraic modular forms for a two-by-two general unitary group over a definite quaternion algebra, and those arising from genera of posit…
Automorphic forms for some even unimodular lattices
Neil Dummigan, Dan Fretwell
We look at genera of even unimodular lattices of rank over the ring of integers of and of rank over the ring of integers of ,…
-values and Hecke eigenvalue congruences
Jonas Bergström, Neil Dummigan, David Farmer +1
We find experimental examples of congruences of Hecke eigenvalues between automorphic representations of groups such as , $\mathrm{SO}(4,3)(\mathbb{\mat…
Automorphic Forms on Feit's Hermitian Lattices
Neil Dummigan, Sebastian Schönnenbeck
We consider the genus of classes of unimodular Hermitian lattices of rank over the Eisenstein integers. This set is the domain for a certain space of algebraic modular fo…
Eisenstein congruences for SO(4,3), SO(4,4), spinor and triple product L-values
Jonas Bergström, Neil Dummigan, Thomas Mégarbané
We work out instances of a general conjecture on congruences between Hecke eigenvalues of induced and cuspidal automorphic representations of a reductive group, modulo divisors of…
Lifting Congruences to weight 3/2
Neil Dummigan, Srilakshmi Krishnamoorthy
Given a congruence of Hecke eigenvalues between newforms of weight , we prove, under certain conditions, a congruence between corresponding weight- forms.
Eisenstein congruences for split reductive groups
Jonas Bergström, Neil Dummigan
We present a general conjecture on congruences between Hecke eigenvalues of parabolically induced and cuspidal automorphic representations of split reductive groups, modulo divisor…
Yoshida lifts and Selmer groups
Siegfried Böcherer, Neil Dummigan, Rainer Schulze-Pillot
Let and , of weights , be normalised newforms for , for square-free , such that, for each Atkin-Lehner involution, the eigenvalues of and ar…