2 papers
math.AC2026
Betti numbers of inductively pierced codes
Hugh Geller, Rebecca R. G., Alexandra Seceleanu +1
Neural ideals were introduced by Curto, Itskov, et al as an algebraic tool to study neural codes. In this paper, we use the notion of polarization introduced by Güntürkün, Jeffr…
math.AC2026
DG-Sensitive Pruning & a Complete Classification of DG Trees and Cycles
Hugh Geller, Desiree Martin, Henry Potts-Rubin
Given a squarefree monomial ideal of a polynomial ring , we show that if the minimal free resolution of admits the structure of a differential graded (dg)…