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

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Showing 2021Show all

5 papers · 1 filter

math.NT2021

Minimal quadratic forms for the function field of a conic in characteristic $2$

Adam Chapman, Anne Quéguiner-Mathieu

In this note, we construct explicit examples of $F_{Q}$ -minimal quadratic forms of dimension $5$ and $7$ , where $F_{Q}$ is the function field of a conic over a field $F$ of characteris…

math.RA2021

Asymptotic Brauer $p$ -Dimension

Adam Chapman, Kelly McKinnie

We define and compute $ABrd_{p} (F)$ , the asymptotic Brauer $p$ -dimension of a field $F$ , in cases where $F$ is a rational function field or Laurent series field. $\ope…

math.RA2021

Clifford semialgebras

Adam Chapman, Letterio Gatto, Louis Rowen

We introduce a theory of Clifford semialgebra systems, with application to representation theory via Hasse-Schmidt derivations on exterior semialgebras. Our main result, after the…

math.RA2021★ 4 cited

Roots and Dynamics of Octonion Polynomials

Adam Chapman, Solomon Vishkautsan

This paper is devoted to several new results concerning (standard) octonion polynomials. The first is the determination of the roots of all right scalar multiples of octonion polyn…

math.RA2021

Linkage of Sets of Cyclic Algebras

Adam Chapman

Let $p$ be a prime integer and $F$ the function field in two algebraically independent variables over a smaller field $F_{0}$ . We prove that if $char (F_{0}) = p \geq 3$ the…

Minimal quadratic forms for the function field of a conic in characteristic 2

Asymptotic Brauer p-Dimension

Clifford semialgebras

Roots and Dynamics of Octonion Polynomials

Linkage of Sets of Cyclic Algebras

Minimal quadratic forms for the function field of a conic in characteristic $2$

Asymptotic Brauer $p$ -Dimension