Additional Information

Specific topics will be chosen the first week of the course in consultation with the class. Past topics have ranged from recent uses of Stanley-Reisner theory, including local cohomology, to a simple introduction and applications of discrete Morse theory. Many other topics are possible, including (but not limited to) matroids, hyperplane arrangements, combinatorial aspects of cell complexes and posets, and polytopes. Prerequisites will depend on the specific topics chosen. A minimum of a semester of undergraduate topology, algebra and combinatorics will always be necessary. Frequently additional background will be required.