11 citations · 23 across the 4 of their papers we have counts for
4 papers
Elliptic curves with non-abelian entanglements
Nathan Jones, Ken McMurdy
We consider the problem of classifying quadruples where is a number field, is an elliptic curve defined over and is a pair of relatively pri…
Slopes of the U_7 Operator Acting on a Space of Overconvergent Modular Forms
Ken McMurdy, Lloyd Kilford
Let χ be the primitive Dirichlet character of conductor 49 defined by χ(3)=ζ, for ζ a primitive 42nd root of unity. We explicitly compute the slopes of the U_7 operator acting on t…
Stable Model of X_0(125)
Ken McMurdy
In this paper we determine the components in the stable model of X_0(125) over C_5 by constructing in rigid-analytic terminology an explicit semi-stable covering. We then offer emp…
A Splitting Criterion for Galois Representations Associated to Exceptional Modular Forms (mod p)
Ken McMurdy
This paper continues the study of certain two-dimensional Galois representations attached to modular forms (mod p) via a construction due to Deligne. In particular, we prove a crit…