3 papers
math.GT2024
Realizing pairs of multicurves as cylinders on translation surfaces
Juliet Aygun, Janet Barkdoll, Aaron Calderon +2
Any pair of intersecting cylinders on a translation surface is "coherent," in that the geometric and algebraic intersection numbers of their core curves are equal (up to sign). In…
math.AC2023
ACC for -signature: a likely counterexample
Clay Adams, Theodore J. Sandstrom, Austyn Simpson
Let and let . 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- 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 …