Henry Potts-Rubin

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20242026

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math.AC2026

DG Algebra Structures on Mapping Cones with an Application to Edge Ideals

Hugh Geller, Desiree Martin, Matthew Mastroeni +1

We generalize a construction of Herzog and Takayama pertaining to differential graded algebra structures on mapping cones. Via this generalization, we provide the minimal free reso…

math.AC2025

DG-Sensitive Pruning & a Complete Classification of DG Trees and Cycles

Hugh Geller, Desiree Martin, Henry Potts-Rubin

Given a squarefree monomial ideal $I$ of a polynomial ring $Q$ , we show that if the minimal free resolution $F$ of $Q / I$ admits the structure of a differential graded (dg)…

math.AC2024

Resolving the Module of Derivations on an $n \times (n + 1)$ Determinantal Ring

Henry Potts-Rubin

We use the construction of the relative bar resolution via differential graded structures to obtain the minimal graded free resolution of $Der_{R ∣ k}$ , where $R$ is a de…

DG Algebra Structures on Mapping Cones with an Application to Edge Ideals

DG-Sensitive Pruning & a Complete Classification of DG Trees and Cycles

Resolving the Module of Derivations on an n×(n+1) Determinantal Ring

Resolving the Module of Derivations on an $n \times (n + 1)$ Determinantal Ring