Commutative Algebra Research Group
The commutative algebra group at OSU studies ideals in polynomial rings over a field. We are especially interested in combinatorial commutative algebra, a relatively new area in which researchers use tools from combinatorics to answer questions in algebra and vice versa. Our work often focuses on monomial ideals, articularly understanding their free resolutions.
- Christopher Francisco
Ph.D., Cornell University, 2004; B.S., University of Illinois (Urbana), 1999.
Combinatorial commutative algebra and computational algebra. I am particularly interested in problems involving monomial ideals and their algebraic and combinatorial interpretations.
- Jeffrey Mermin
B.S., Duke University, 2000; Ph.D., Cornell University, 2006.
- Jay Schweig
B.S., George Mason University; M.S./Ph.D., Cornell University, 2008.
My research is in the field of algebraic and geometric combinatorics, and I am especially interested in posets, matroids, Borel ideals, and graph theory.