Math 555
Spring 2005

Course Description

The interface between combinatorics and commutative algebra/algebraic geometry has been fruitful for both subjects. We will discuss some of the impact of commutative algebra in combinatorics (a little) and the use of combinatorial techniques in commutative algebra and related areas (more). The main tools include simplicial complexes and polyhedral techniques (on the combinatorial side) and monomial ideals, resolutions, Hilbert functions, and computational techniques (on the algebraic side). The only prerequisite is basic algebra.

Instructor

Name Office E-mail Phone Office Hours
Diane Maclagan 240 Hill Center maclagan at math.rutgers.edu 732-445-3481 TBA

Course Time and Location

MW5 (2:50-4:10), Hill 525

Text

There is no official assigned text. Useful books include Stanley's Combinatorics and Commutative Algebra, Bruns and Herzog's Cohen Macaulay Rings, and the forthcoming Combinatorial Commutative Algebra by Miller and Sturmfels. The latter is temporarily available online from Miller's webpage - download it now!

Announcements

Announcements and any handouts will be available here.
Here is the handout from the first day (as a text file).

Homework

There will be sporadic homework assignments (approximately every two weeks). Homework assignments and target dates will be posted here.

Grades

You are expected to attempt some of the homework or complete a longer report on a topic of your choosing to get credit. Exceptions will be made for those who provide evidence of other mathematics going on (eg a completed dissertation).