Math 7012 Enumerative Combinatorics

TuTh -- 1:35 - 2:55: Skiles 257
Instructor: Josephine Yu
Prerequisites: Solid background in undergraduate linear algebra is assumed

The textbook will be "A Course in Enumeration" by Martin Aigner, available online for free through the GT library. Topics include

  • generating functions
  • recurrence relations
  • sieve methods
  • catalan numbers
  • ymmetric functions

As time permits, other topics include

  • enumerative aspects of geometric combinatorics such as hyperplane arrangements
  • oriented matroids
  • polytopes
  • triangulations
  • and the connections to (parametric) linear programming