Adam Chapman

activity

20112024

most citedA Simple Motivated Completion of the Standard Model below the Planck Scale: Axions and Right-Handed Neutrinos

78 citations · 165 across the 30 of their papers we have counts for

collaborators

Showing 2017 · math.RAShow all

3 papers · 2 filters

math.RA2017

Triple Linkage of Quadratic Pfister Forms

Adam Chapman, Andrew Dolphin, David B. Leep

Given a field $F$ of characteristic 2, we prove that if every three quadratic $n$ -fold Pfister forms have a common quadratic $(n - 1)$ -fold Pfister factor then $I_{q}^{n + 1} F = 0$ . As a…

math.RA2017

Kato-Milne Cohomology and Polynomial Forms

Adam Chapman, Kelly McKinnie

Given a prime number $p$ , a field $F$ with $char (F) = p$ and a positive integer $n$ , we study the class-preserving modifications of Kato-Milne classes of decomposable…

math.RA2017

Differential Forms, Linked Fields and the $u$ -Invariant

Adam Chapman, Andrew Dolphin

We associate an Albert form to any pair of cyclic algebras of prime degree $p$ over a field $F$ with $char (F) = p$ which coincides with the classical Albert form when…

Triple Linkage of Quadratic Pfister Forms

Kato-Milne Cohomology and Polynomial Forms

Differential Forms, Linked Fields and the u-Invariant

Differential Forms, Linked Fields and the $u$ -Invariant