Math 824 (Algebraic Combinatorics)
Fall 2010

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

• Instructor: Jeremy Martin
  
  623 Snow, 864-7114
• KU course number: 45169
• Syllabus
• Meeting times: MWF, 1:00-1:50 PM, 408 Snow (note change as of 8/20/10 3:00 PM)
• Office hours: Wednesdays 2:00-2:50 PM, Thursdays 1:00-2:15 PM, or by appointment
• Prerequisite: Math 724 (Enumerative Combinatorics) or permission of the instructor

• Math 824 Google Group (all students should join)
• Information on the final project

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.

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)

Here is complete information on the final project.

Mathematics links:

• The On-Line Encyclopedia of Integer Sequences

Mathematical and technical writing information:

• Writing in the Sciences (UNC Chapel Hill Writing Center)
• A Guide to Writing Mathematics and Mathematical Writing Checklist (Prof. Kevin Lee, Purdue)

KU links:

• Jeremy's home page
• KU Mathematics Department
• KU Registrar
• KU Bookstore
• KU policies on academic misconduct
• KU Office of Disability Resources

Software:

• KU Math Department LaTeX page
• Sage (free, open-source mathematical software)
• Acrobat Reader (to read PDF files on this page)