activity
20012020
most citedMaximal unramified 3-extensions of imaginary quadratic fields and SL_2(Z_3)

9 citations · 28 across the 8 of their papers we have counts for

collaborators

10 papers

math.SP2020★ 7 cited

Singular Boundary Conditions for Sturm--Liouville Operators via Perturbation Theory

Michael Bush, Dale Frymark, Constanze Liaw

We show that all self-adjoint extensions of semi-bounded Sturm--Liouville operators with general limit-circle endpoint(s) can be obtained via an additive singular form bounded self…

math.NT2020

On certain quotients of -class tower groups of quadratic fields

Michael R. Bush

A characterization of the quotients of -class tower groups of quadratic fields by terms in the lower -central series plays an important role in the formulation of conjectures…

math.NT2018

Period sets of linear recurrences over finite fields and related commutative rings

Michael R. Bush, Danjoseph Quijada

After giving an overview of the existing theory regarding the periods of sequences defined by linear recurrences over finite fields, we give explicit descriptions of the sets of pe…

math.NT2018★ 4 cited

Heuristics for p-class towers of real quadratic fields

Nigel Boston, Michael R. Bush, Farshid Hajir

Let be an odd prime. For a number field , we let be the maximal unramified pro- extension of ; we call the group the -class to…

math.NT2016

Galois groups of iterates of some unicritical polynomials

Michael R. Bush, Wade Hindes, Nicole R. Looper

We prove that the arboreal Galois representations attached to certain unicritical polynomials have finite index in an infinite wreath product of cyclic groups, and we prove surject…

math.NT2013

-class field towers of exact length

MIchael R. Bush, Daniel C. Mayer

The -group generation algorithm is used to verify that the Hilbert -class field tower has length for certain imaginary quadratic fields with -class group $\mathrm{…