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 2022Show all

4 papers · 1 filter

math.RA2022

Fixed points and orbits in skew polynomial rings

Adam Chapman, Elad Paran

We study orbits and fixed points of polynomials in a general skew polynomial ring $D [x, σ, δ]$ . We extend results of the first author and Vishkautsan on polynomial dynamics in $D[x]…

math.RA2022

Essential Dimension of Central Simple Algebras of Degree 8 and Exponent 2 in Characteristic 2

Adam Chapman

The goal of this note is to reduce the existing upper bound for the essential dimension of central simple algebras of degree 8 and exponent 2 over fields of characteristic 2 from 1…

math.RA2022★ 2 cited

Roots and Critical Points of Polynomials over Cayley--Dickson Algebras

Adam Chapman, Alexander Guterman, Solomon Vishkautsan +1

We study the roots of polynomials over Cayley--Dickson algebras over an arbitrary field and of arbitrary dimension. For this purpose we generalize the concept of spherical roots fr…

math.RA2022

Symbol Length of Classes in Milnor $K$ -groups

Adam Chapman

Given a field $F$ , a positive integer $m$ and an integer $n \geq 2$ , we prove that the symbol length of classes in Milnor's $K$ -groups $K_{n} F / 2^{m} K_{n} F$ that are equivalent to singl…

Fixed points and orbits in skew polynomial rings

Essential Dimension of Central Simple Algebras of Degree 8 and Exponent 2 in Characteristic 2

Roots and Critical Points of Polynomials over Cayley--Dickson Algebras

Symbol Length of Classes in Milnor K-groups

Symbol Length of Classes in Milnor $K$ -groups