18 citations · 29 across the 15 of their papers we have counts for
20 papers
The -Invariant of Fields of Characteristic 2
Adam Chapman, Kelly McKinnie
We study the minimal dimension of a nonsingular anisotropic universal quadratic form over a field of , which we call the ``-invariant" of . We s…
Density of Visible Lattice Points on Hyperplanes and their Intersections
Finnley Goss, Kelly McKinnie
A lattice point is said to be visible if the line segment between and the origin contains no other lattice point. In this paper, w…
Essential Dimension of Central Simple Algebras when the Characteristic is Bad
Adam Chapman, Kelly McKinnie
This is a survey of the existing literature, the state of the art, and a few minor new results and open questions regarding the essential dimension of central simple algebras and f…
Classes in of lower exponent
Adam Chapman, Daniel Krashen, Kelly McKinnie
Let be a field of characteristic . We prove that if a symbol in is of exponent dividing , then its s…
A retrospective analysis of Montana's 2020 congressional redistricting map
Kelly McKinnie, Erin Szalda-Petree
The 2020 decennial census data resulted in an increase from one to two congressional representatives in the state of Montana. The state underwent its redistricting process in 2021…
Biquaternion Algebras, Chain Lemma and Symbol Length
Adam Chapman, Kelly McKinnie
In this note, we present a chain lemma for biquaternion algebras over fields of characteristic 2 in the style of the equivalent chain lemma by Sivatski in characteristic not 2, and…