3 papers
math.AC2026
Characterizing Steiner Systems via Betti Numbers of Monomial Ideals
Guillermo Alesandroni, Christopher Chin, Noah Ripke
Given a point set and a collection of -subsets of , we create a monomial ideal whose Betti numbers completely determine whether the pair is a Steiner sy…
math.AC2026
Characteristic Independence of Betti Numbers of Monomial Ideals in Five Variables
Noah Ripke, Phillip Yoon
Alesandroni proved that Betti numbers of monomial ideals in at most four variables are independent of the characteristic of the base field, while characteristic-dependent Betti num…
math.GM2024
A Family of New Formulas for the Euler-Mascheroni Constant
Noah Ripke
We introduce and prove several new formulas for the Euler-Mascheroni Constant. This is done through the introduction of the defined E-Harmonic function, whose properties, in this p…