4 citations · 8 across the 7 of their papers we have counts for
7 papers
Even Galois representations and the cohomology of GL(2,Z)
Avner Ash, Darrin Doud
Let be a two-dimensional even Galois representation which is induced from a character of odd order of the absolute Galois group of a real quadratic field. After imposing so…
Finding Galois representations corresponding to certain Hecke eigenclasses
Meghan De Witt, Darrin Doud
In 1992, Avner Ash and Mark McConnell presented computational evidence of a connection between three-dimensional Galois representations and certain arithmetic cohomology classes. F…
Reducible Galois representations and the homology of GL(3,Z)
Avner Ash, Darrin Doud
We prove the following theorem: Let $\bar\F_p$ be an algebraic closure of a finite field of characteristic . Let be a continuous homomorphism from the absolute Galois group…
Two-divisibility of the coefficients of certain weakly holomorphic modular forms
Darrin Doud, Paul Jenkins, John Lopez
We study a canonical basis for spaces of weakly holomorphic modular forms of weights 12, 16, 18, 20, 22, and 26 on the full modular group. We prove a relation between the Fourier c…
-adic properties of coefficients of weakly holomorphic modular forms
Darrin Doud, Paul Jenkins
We examine the Fourier coefficients of modular forms in a canonical basis for the spaces of weakly holomorphic modular forms of weights 4, 6, 8, 10, and 14, and show that these coe…
Even icosahedral Galois representations of prime conductor
Darrin Doud, Michael W. Moore
In this paper, we use a series of targeted Hunter searches to prove that the minimal prime conductor of an even icosahedral Galois representation is 1951. In addition, we give a co…