Adam Chapman

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math.NT2025

Essential dimension of sequences of quadratic Pfister forms

Fatma Kader BingÃ¶l, Adam Chapman, Ahmed Laghribi

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

math.NT2025

Mixed multiquadratic splitting fields

Fatma Kader BingÃ¶l, 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…