2 papers
math.AC2020
Characteristic dependence of syzygies of random monomial ideals
Caitlyn Booms, Daniel Erman, Jay Yang
When do syzygies depend on the characteristic of the field? Even for well-studied families of examples, very little is known. For a family of random monomial ideals, namely the Sta…
math.AC2017
Characterization of Completions of Noncatenary Local Domains and Noncatenary Local UFDs
Chloe I. Avery, Caitlyn Booms, Timothy M. Kostolansky +2
We find necessary and sufficient conditions for a complete local ring to be the completion of a noncatenary local (Noetherian) domain, as well as necessary and sufficient condition…