Shelly Bouchat of the Department of Mathematical and Computer Sciences presented her research in the talk “Minimal free resolutions of domino ideals” at the Commutative Algebra and Representation Theory conference held at Tulane University on November 8-11, 2018. This conference hosted leading researchers from more than six different countries.
Bouchat received the invitation to speak at this conference due to her research on monomial ideals. Monomial ideals are a structure in theoretical mathematics. While Bouchat studies them from a theoretical viewpoint, they have many uses in applications: from studying genetic inheritance to studying how fast a chemical reaction might occur.
Bouchat’s research interests lie at the intersection of combinatorics, topology, graph theory, and commutative algebra. This particular talk featured a new class of monomial ideals that Bouchat defined along with one of her collaborators, Tricia Brown of Georgia Southern University’s Armstrong Campus.
Department of Mathematics