7 citations · 9 across the 3 of their papers we have counts for
4 papers
Eisenstein congruences in tame families and the class group of a metabelian extension
Catherine Hsu, Alice Pozzi, Preston Wake +1
Ribet's 1976 proof of the converse to Herbrand's theorem created a new paradigm in algebraic number theory by illustrating that unramified abelian Galois extensions of number field…
Explicit non-Gorenstein R=T via rank bounds II: Computational aspects
Catherine Hsu, Preston Wake, Carl Wang-Erickson
This is the second in a pair of papers about residually reducible Galois deformation rings with non-optimal level. In the first paper, we proved a Galois-theoretic criterion for th…
Explicit non-Gorenstein R=T via rank bounds I: Deformation theory
Catherine Hsu, Preston Wake, Carl Wang-Erickson
Ribet has proven remarkable results about non-optimal levels of residually reducible Galois representations. We focus on a non-optimal level that is the product of two distinct…
Two classes of number fields with a non-principal Euclidean ideal
Catherine Hsu
This paper introduces two classes of totally real quartic number fields, one of biquadratic extensions and one of cyclic extensions, each of which has a non-principal Euclidean ide…