Summary: combinatorial commutative algebra . 2009
. san francisco state university .
. universidad de los andes .
o Wednesday, April 8: rough outline. (1-2 pages)
o Monday, May 18: final project. (10 pages in LaTeX, 11pt, single space)
For the final project of the course, you will develop a solid understanding of a particular aspect
of combinatorial commutative algebra (CCA) that interests you. You may, for instance:
· Understand the background and significance of an open problem in CCA, and solve it, or
achieve some partial progress.
· Understand the current state of the art in a branch of CCA, and present it in a clear,
concise, and useful survey.
· Find a new way of thinking about or proving a known result.
· Write a computer program that will be useful to researchers in CCA.
Below are some possible topics for a final project, in no particular order. The list is not
comprehensive, and probably biased towards topics that I like. You may choose your own topic,
but you'll need me to approve it before you start working on it. I am flexible about the topics
that you choose, but you must prove to me that you learned a lot of mathematics related to CCA!
In your proposal you will describe your concrete plan of action and I will offer feedback.