Kevin Keating

activity

19982023

most citedSigned shape tilings of squares

2 citations · 3 across the 12 of their papers we have counts for

collaborators

20 papers

math.NT2023

Galois scaffolds for $p$ -extensions in characteristic $p$

G. Griffith Elder, Kevin Keating

Let $K$ be a local field of characteristic $p > 0$ with perfect residue field and let $G$ be a finite $p$ -group. In this paper we use Saltman's construction of a generic $G$ -extensio…

math.NT2023

A converse to the Hasse-Arf theorem

G. Griffith Elder, Kevin Keating

Let $L / K$ be a finite Galois extension of local fields. The Hasse-Arf theorem says that if Gal $(L / K)$ is abelian then the upper ramification breaks of $L / K$ must be integers. We pr…

math.NT2022

Galois scaffolds for cyclic $p^{n}$ -extensions in characteristic $p$

G. Griffith Elder, Kevin Keating

Let $K$ be a local field of characteristic $p$ and let $L / K$ be a totally ramified Galois extension such that Gal $(L / K) ≅ C_{p^{n}}$ . In this paper we find sufficient conditions f…

math.NT2021

Galois Scaffolds and Galois Module Structure for Totally Ramified $C_{p}^{2}$ -Extensions in Characteristic 0

Kevin Keating, Paul Schwartz

Recently, much work has been done to investigate Galois module structure of local field extensions, particularly through the use of Galois scaffolds. Given a totally ramified $p$ -e…

math.NT2021

Extensions of local fields given by 3-term Eisenstein polynomials

Endrit Fejzullahu, Kevin Keating

Let $K$ be a local field with residue characteristic $p$ and let $L / K$ be a totally ramified extension of degree $p^{k}$ . In this paper we show that if $L / K$ has only two distinct in…

math.NT2018

Refined ramification breaks in characteristic $p$

G. Griffith Elder, Kevin Keating

Let $K$ be a local field of characteristic $p$ and let $L / K$ be a totally ramified elementary abelian $p$ -extension with a single ramification break $b$ . Byott and Elder defined th…

Galois scaffolds for p-extensions in characteristic p

A converse to the Hasse-Arf theorem

Galois scaffolds for cyclic pn-extensions in characteristic p

Galois Scaffolds and Galois Module Structure for Totally Ramified Cp2​-Extensions in Characteristic 0

Extensions of local fields given by 3-term Eisenstein polynomials

Refined ramification breaks in characteristic p

Galois scaffolds for $p$ -extensions in characteristic $p$

Galois scaffolds for cyclic $p^{n}$ -extensions in characteristic $p$

Galois Scaffolds and Galois Module Structure for Totally Ramified $C_{p}^{2}$ -Extensions in Characteristic 0

Refined ramification breaks in characteristic $p$