An article co-authored by Assistant Professor of Mathematics Courtney Gibbons appears in the May issue of the Journal of Algebra and Its Applications (JAA). “Rational combinations of Betti diagrams of complete intersections” was written with Michael Annunziata of Wake Forest University, Cole Hawkins of Amherst College, and Alexander Sutherland of Oberlin College.
Gibbons and her co-authors investigated decompositions of Betti diagrams over a polynomial ring within the framework of Boij–Söderberg theory. Given a Betti diagram, they determined if it is possible to decompose it into the Betti diagrams of complete intersections. To do so, they determined the extremal rays of the cone generated by the diagrams of complete intersections and provided a factorial time algorithm for decomposition.