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