### Course Meeting Times

Lectures: 3 sessions / week, 1 hour / session

### Prerequisite

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

### Requirements

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.

### Outline

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

Topic # | DESCRIPTIONS |
---|---|

1 |
Selection of Topics from Linear Algebra
Odd Subsets with Even Intersections Partitioning the Edges of the Complete Graph K 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 |