Kevin Keating

activity

19982003

collaborators

4 papers

math.NT2003

Extensions of local fields and truncated power series

Kevin Keating

Let $K$ be a finite tamely ramified extension of $\Q_p$ and let $L / K$ be a totally ramified $(Z / p^{n} Z)$ -extension. Let $π_{L}$ be a uniformizer for $L$ , let $σ$ be a generator for $…

math.GR2002

How close are pth powers in the Nottingham group?

Kevin Keating

Let F be a field of characteristic p > 0 and let g, h be elements of the Nottingham group N(F) such that g has depth k and gh^{-1} has depth n >= k. We find the best possible lower…

math.NT2001

Enumeration of Isomorphism Classes of Extensions of p-adic Fields

Xiang-dong Hou, Kevin Keating

Let $Ω$ be an algebraic closure of $Q_{p}$ and let $F$ be a finite extension of $Q_{p}$ contained in $Ω$ . Given positive integers $f$ and $e$ , the number of extensi…

math.CO1998

Signed shape tilings of squares

Kevin Keating

Let T be a tile in the Cartesian plane made up of finitely many rectangles whose corners have rational coordinates and whose sides are parallel to the coordinate axes. This paper g…