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.
Faculty
- 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.