Theodore J. Sandstrom

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20222024

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math.AC2023

ACC for $F$ -signature: a likely counterexample

Clay Adams, Theodore J. Sandstrom, Austyn Simpson

Let $k = F_{2}$ and let $0 \neq = α \in k$ . We present a conjecture supported by computer experimentation involving the Brenner-Monsky quartic $g_α=α…

math.AC2022

On Localization of Tight Closure in Line- $S_{4}$ Quartics

Levi Borevitz, Naima Nader, Theodore J. Sandstrom +3

Building on work of Brenner and Monsky from 2010 and on a Hilbert-Kunz calculation of Monsky from 1998, we exhibit a novel example of a hypersurface over $F_{2}$ …

ACC for F-signature: a likely counterexample

On Localization of Tight Closure in Line-S4​ Quartics

ACC for $F$ -signature: a likely counterexample

On Localization of Tight Closure in Line- $S_{4}$ Quartics