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.
Research Interests  

Professor 
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.

Associate Professor 
B.S., Duke University, 2000; Ph.D., Cornell University, 2006. 
Associate Professor 
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.
