# Commutative Algebra

I'd like to create a mailing list for people interested in this course so please email me if you are interested in attending the lectures (even if you aren't going to attend all the lectures, etc).

The plan of this semester course in commutative algebra is to focus on interesting nontrivial results rather than building theory from the ground up. You will have to work to be able to keep up with the material including reading up on background material and doing exercises that explain the basics.

More specifically, I hope to cover a lot of basic dimension theory of Noetherian rings (especially rings of finite type over a field), and I hope to explain the algebraic version of Zariski's Main Theorem as well as applications (especially to dimension theory).

There is not going to be a book associated to the course. All of the material will be in some form or other in the chapter on commutative algebra of the stacks project.

It is strongly encouraged to go to the lectures, which are on Monday and Wednesday 11:00-12:15 in Math 307.

Problem sets will be announced in lecture on wednesdays and on this web page. They are due in lecture on the next Wednesday. Please write out all arguments completely.

The TA for the course is Jie Xia.

Grades are computed by a weighted average between the scores on problem sets and final. The weights are 2/3 and 1/3 respectively.

The final will be a written exam.

Here are the weekly problem sets. Please hit the refresh button on your browser to make sure you have to latest list. These exercises are partially meant for you to see if you know enough to be able to follow the material in the course. Hence it is suggested that you skip the ones you are familiar with, or give a very brief answer showing you understand the point. Moreover, most of the exercises are of a theoretical nature, hence you'll be able to look up that answer -- feel free to do this.

1. From Exercises do Exercise 5.1, 5.2, 5.3, 5.5, 5.10, 5.29.