MA3G6
Term 2

Module Description

Commutative Algebra is the study of commutative rings, their modules and ideals. This theory has developed over the last 150 years not just as an area of algebra considered for its own sake, but as a tool in the study of two enormously important branches of mathematics: algebraic geometry and algebraic number theory. See also the description in the Undergraduate Handbook.

Lecturer

Name Office E-mail Phone Office Hour
Diane Maclagan C2.26 Zeeman Building D.Maclagan at warwick.ac.uk (024) 7652 8333 Monday 1pm

Course Times and Location



What Where When
Lecture MS.01 (Zeeman building) Monday 16:00-17:00
Lecture H0.51 (Humanities) Wednesday 10:00 -11:00
Lecture MS.01 (Zeeman building) Friday 15:00 -16:00
Support class B1.01 (Zeeman building) Thursday 13:00-14:00

Recommended Texts

A comprehensive introduction to commutative algebra is Eisenbud's Commutative algebra with a view toward algebraic geometry. I will follow the notation and conventions of this book (though we will only cover a fraction of it in ten weeks!) A classic reference is Atiyah, MacDonald Introduction to commutative algebra.
Other references are Reid's Undergraduate commutative algebra, Sharp's Steps in commutative algebra, and Zariski and Samuel's Commutative algebra. There are multiple copies of these books in the library; the links above are to the catalogue. If you want to buy copies of any of these books, I recommend first looking at a site like Alibris.co.uk, which searches multiple independent bookstores.

Announcements

A handout introducing Macaulay 2 is available here.

There is now a forum for this module: see here.

There will be no lecture on Wednesday 11/2/15 or Friday 13/2/15. These lectures are replaced by the handout available here. Solutions for the exercises in this handout are available here.

Assessment

There will be homework assignments every two weeks. Homework assignments and due dates will be posted on the schedule webpage, which will also have the reading for the following week. You are encouraged to work on homework together, but you should write up the solutions yourself. No late homework will be accepted. The lowest homework score will be dropped, however, when calculating your homework mark. Homework will be due at 2pm on the Tuesdays indicated on the schedule page (except week 10, which is due on Thursday).
Your final mark for this module will depend 15% on your homework, and 85% on the examination in Term 3.