Course Meeting Times

Lectures: 3 sessions / week, 1 hour / session


A good background in undergraduate algebra such as Algebra I (18.701) and Algebra II (18.702).


Homework will be due about once every two weeks. A paper of 6-12 pages related to algebraic combinatorics is due on the last class.


A tentative description of the first part of the course is as follows:

1 Selection of Topics from Linear Algebra

Odd Subsets with Even Intersections

Partitioning the Edges of the Complete Graph Kn into Complete Bipartite Subgraphs

The Nonuniform Fisher Inequality

Odd Neighborhood Covers

The Shannon Capacity of the 5-cycle
2 A Taste of Algebraic Number Theory: Circulant Hadamard Matrices
3 Commutative Algebra and the f-vectors of Simplicial Complexes
4 Exterior Algebra and the f-vectors of Simplicial Complexes