Math 192      Algebraic Combinatorics

Harvard Fall 2005
Instructor: Thomas Lam
Lectures: Monday, Wednesday, Friday 12-1      Science Center 507
Office Hours: Tuesday 1-2. Friday 3-4.      Science Center 426g

Course description:
This is an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is expected. While there are few prerequisites the course is meant to be challenging (but also a lot of fun). In particular, rigorous mathematical proofs are expected.

Familiarity with linear algebra and finite groups.

There is no textbook for this course. A large part of this course will follow R. Stanley's notes ``Topics in Algebraic Combinatorics'' from Math 192 in Fall 2000.

Problem sets: There will be problem sets roughly once a week. Collaboration on homework is permitted, but you are not allowed to just copy someone else's work. You have to mention on your problem set who you worked with and also which books or articles you used.

Problem Set 1

Problem Set 2

Problem Set 3

Problem Set 4

Problem Set 5

Problem Set 6

Exams: There will be one in-class exam. There will be no final exam.

Final Paper: There will be a final paper due at the end of reading period.

Grading: Problem sets (60%), Exam (10%), Paper (30%).

Possible Topics:
Algebraic graph theory:

Classical enumeration and posets: Partitions and Young tableaux: Extra possibilities: