C. Keyes

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20242026

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math.NT2025

The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations

Juanita Duque-Rosero, Christopher Keyes, Andrew Kobin +3

We characterize the integral Hasse principle for an infinite family of spherical stacky curves with genus $g \in [2/3, 1)$ that are defined using generalized Fermat equations, extend…

math.NT2025

Effective Bertini theorems and zeros of $p$ -adic forms of degrees 7 and 11

Lea Beneish, Christopher Keyes

We establish an effective Bertini-type theorem for hypersurfaces $X_{f} : f = 0$ defined over a finite field $k$ for which $f$ has no linear factors over the algebraic closure $…

The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations

Effective Bertini theorems and zeros of p-adic forms of degrees 7 and 11

Effective Bertini theorems and zeros of $p$ -adic forms of degrees 7 and 11