Adam Chapman

most citedMixed multiquadratic splitting fields

1 citations · 1 across the 4 of their papers we have counts for

collaborators

4 papers

math.NT2025

Essential dimension of sequences of quadratic Pfister forms

Fatma Kader Bingöl, Adam Chapman, Ahmed Laghribi

We study the essential dimension of the set of isometry classes of $m$ -tuples $(φ_{1}, ..., φ_{m})$ of quadratic $n$ -fold Pfister forms over a field $F$ such that the Witt class of $φ_1…

math.AC2025

5-dimensional minimal quadratic and bilinear forms over function fields of conics

Adam Chapman, Ahmed Laghribi

Over a field of characteristic 2, we give a complete classification of quadratic and bilinear forms of dimension 5 that are minimal over the function field of an arbitrary conic. T…

math.NT2024★ 1 cited

Mixed multiquadratic splitting fields

Fatma Kader Bingöl, Adam Chapman, Ahmed Laghribi

We study mixed multiquadratic field extensions as splitting fields for central simple algebras of exponent $2$ in characteristic $2$ . As an application, we provide examples of none…

math.RA2024

Linkage and Essential $p$ -Dimension

Adam Chapman

We prove that two cyclically linked $p$ -algebras of prime degree become inseparably linked under a prime to $p$ extension if and only if the essential $p$ -dimension of the pair is…

Essential dimension of sequences of quadratic Pfister forms

5-dimensional minimal quadratic and bilinear forms over function fields of conics

Mixed multiquadratic splitting fields

Linkage and Essential p-Dimension

Linkage and Essential $p$ -Dimension