Home **Syllabus** Schedule Links Homework Solutions | | | | # Syllabus ### Math 535, September 1 2010 **Meeting times and location** 11:00 am - 12:00 pm, Cupples I room 216
**Web page:** http://www.math.wustl.edu/~russw/math535/ **Introduction** Math 535 will be an introduction to geometric and topological methods in combinatorics. Topics include: posets and lattices, including their order complexes; Moebius inversion; hyperplane arrangements and geometric lattices; graph complexes; shellable and Cohen-Macaulay complexes; discrete Morse theory; and additional topics as time and student interest directs.
**Prerequisites** The prerequisites are knowledge of topology including basic homology theory, and of algebra on the level of e.g. Math 430.
**My contact info:**
Russ Woodroofe | Cupples I 114 | Office hours: Tues 1 - 3 pm + by appt | russw at math,wustl,edu | **Textbook** I will not follow any one textbook throughout the course. Some good references which I will draw material from are:
Michelle Wachs, *Poset topology: tools and applications*, arXiv:math/0602226. Anders Björner, *Topological methods*, available at his webpage. Jakob Jonsson, *Simplicial complexes of graphs*, downloadable from Springer. Dmitry Kozlov, *Combinatorial algebraic topology*, downloadable from Springer. Jiří Matoušek, *Using the Borsuk-Ulam Theorem*, downloadable from Springer. Richard Stanley, *Combinatorics and commutative algebra*. You'll have to go to the library for this one.
For general background on homology, etc, I recommend: Allen Hatcher, *Algebraic topology*, available at his website.
I will update the schedule periodically with a record of the topics covered.
**Grading** Your grade will be based on occasional homeworks, at the rate of around 1 / month. |