Math 824 (Algebraic Combinatorics)
Fall 2010

General Information | Lecture Notes | Problem Sets | Textbooks | Links | Final Project

General Information

Lecture Notes

The lecture notes are available from the Math 824 Google Group (last updated 8/20/10). I will probably add more material as we go. You may save a copy for personal use, but please do not distribute them without my permission.

Problem Sets

Problem Set #1 (due Fri 9/3/10)
Problem Set #2 (due Fri 9/17/10)
Problem Set #3 (due Fri 10/8/10)
Problem Set #4 (due Fri 11/5/10)
Problem Set #5 (due Wed 12/8/10)


All the books in the list below can be perused in Jeremy's office. The official textbook is #1 in the list below; however, you may want to substitute #3, whose material is a bit closer to what will be covered in the class. (All the homework assignments will be self-contained.) You should definitely obtain #4 and #5, which are free downloads. In addition, #1 is currently being made into a second edition; you can obtain the first two chapters for free from Stanley's website.

  1. R.P. Stanley, Enumerative Combinatorics, volume 1 (Cambridge, 1997)
    (Enumeration; posets and lattices; generating functions)
    Amazon | Google Books
  2. R.P. Stanley, Enumerative Combinatorics, volume 2 (Cambridge, 1999)
    (More enumeration, including exponential generating functions; symmetric functions)
    Amazon | Google Books
  3. M. Aigner, Combinatorial Theory (Springer, 1997)
    (Enumeration; posets, lattices, and matroids)
    Amazon | Google Books
  4. R.P. Stanley, Hyperplane Arrangements (lecture notes available free online)
  5. A. Schrijver, A Course in Combinatorial Optimization (lecture notes available free online)
  6. T. Brylawski and J. Oxley, The Tutte polynomial and its applications, Chapter 6 of Matroid applications, N. White, ed. (Cambridge Univ. Press, 1992)
  7. B. Sagan, The Symmetric Group, 2nd edn. (Springer, 2001)

Final Project

Here is complete information on the final project.


Mathematics links:

Mathematical and technical writing information:

KU links:


Last updated Mon 11/29/10