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

50 papers

math.RA2024

Totally ramified subfields of $p$ -Algebras

Adam Chapman, S. Srimathy

We conjecture that a $p$ -algebra over a complete discrete valued field $K$ contains a totally ramified purely inseparable subfield if and only if it contains a totally ramified cyc…

math.RA2023

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…

math.RA2023★ 2 cited

Alternating Roots of Polynomials over Cayley-Dickson Algebras

Adam Chapman, Ilan Levin

We introduce the notions of alternating roots of polynomials and alternating polynomials over a Cayley-Dickson algebra, and prove a connection between the alternating roots of a gi…

math.RA2023

Chain Lemma, Quadratic Forms and Symbol Length

Adam Chapman, Ilan Levin

We want to bound the symbol length of classes in $_{2^{m - 1}} B r (F)$ which are represented by tensor products of 5 or 6 cyclic algebras of degree $2^{m}$ . The main ingredients are th…

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]…