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 2019 · math.RAShow all

3 papers · 2 filters

math.RA2019★ 2 cited

Essential Dimension, Symbol Length and $p$ -rank

Adam Chapman, Kelly McKinnie

We prove that the essential dimension of central simple algebras of degree $p^{ℓ m}$ and exponent $p^{m}$ over fields $F$ containing a base-field $k$ of characteristic $p$ is at l…

math.RA2019

Field of Iterated Laurent Series and its Brauer Group

Adam Chapman

The symbol length of $_{p} B r (k ((α_{1})) \dots ((α_{n})))$ for an algebraically closed field $k$ of $char (k) \neq = p$ is known to be $⌊ \frac{n}{2} ⌋$ . W…

math.RA2019

Linkage of Symbol $p$ -Algebras of Degree 3

Adam Chapman

Given a field $F$ of characteristic $3$ and division symbol $p$ -algebras $[α, β)_{3, F}$ and $[α, γ)_{3, F}$ of degree $3$ over $F$ , we prove that if $α\text{dlog}(β)\wedge \text{dlog}…

Essential Dimension, Symbol Length and p-rank

Field of Iterated Laurent Series and its Brauer Group

Linkage of Symbol p-Algebras of Degree 3

Essential Dimension, Symbol Length and $p$ -rank

Linkage of Symbol $p$ -Algebras of Degree 3