Lectures: 3 sessions / week, 1 hour / session
Algebra I (18.701) or Modern Algebra (18.703)
This is an introductory course in algebraic combinatorics. No prior knowledge of combinatorics is expected, but I will assume a familiarity with linear algebra and finite groups. We will cover a number of topics chosen to show the beauty and power of techniques in algebraic combinatorics. Rigorous mathematical proofs are expected.
"Topics in Algebraic Combinatorics." by Richard Stanley
Notes available online (PDF).
Homework: Homework will be assigned and collected in class, typically every week. Your lowest homework score will be dropped.
Exams: There will be two in-class quizzes during the semester.
Research Project: You will be expected to write a 5-10 page expository paper on a topic in algebraic combinatorics related to the course material.
Participation: Participation in class is encouraged. Please feel free to stop me and ask questions. Otherwise, I might stop and ask you questions.