During the week of August 14th, 2017, I am leading a Summer Mini-Course in preparation for the fall 2017 Algebraic Number Theory course. The goal of the course will be to cover topics in algebra that are covered less thoroughly in the Algebra prelim courses but appear as topics in learning Algebraic Number Theory.

The physical course will occur each day on Monday August 14th to Thursday, August 17th at 1pm in 13.156 RLM. The course will be a series of exercises which prove important theorems that will come up and provide counterexamples to test intuition going forward in the course. While it is possible to work on this course on your own, you are strongly encouraged to stop by and work on the problems in groups!

For the purposes of this course, a ring will refer to a commutative, unital ring and ring maps send the multiplicative identity element to the multiplicative identity element.

The Course