## MATH70061 - Commutative Algebra

- Office: 6.25 Huxley

- Office hours: Wednesday 1-2 (except on 12 Oct. the office hour is between 12-1)

- Lecture times and place : Monday 11-12 Huxley 140, Wednesday 11-12 Huxley 642, Friday 11-12 Huxley 140. (First lecture on Friday 7 Oct.).

- References: These are some of the books that I will be drawing from for the lectures

- Miles Reid - Undergraduate Commutative Algebra

- David A. Cox, John Little, Donal O'Shea - Ideals, Varieties, and Algorithms

- M. F. Atiyah, I. G. MacDonald - Introduction to Commutative Algebra

- To receive the announcements related to the course, please send me an e-mail if you are going to continue with this course.

### Lecture notes

Here are the lecture notes. They are mostly taken from the above references. I will be updating these as we go along.
### Homework

There will be 5 problem sets which will be posted here biweekly.

Each problem set will constitute %2 of your final grade.

There will be N problems in each problem set, I will choose 2 random ones using the Macaulay 2 code
```
random(N)+1
```

and grade those ones.

Thus, to guarantee that you get full marks you should submit solutions to all N problems.

No partial credit is given but minor mistakes will be tolerated. So, you get either %1 or %0 from each problem that is graded.

You are encouraged to work on the problem sets in groups but the final write-up should be yours.

Please submit your solutions as a PDF.

### Exam

The exam constitutes %90 of your final grade.

Everything in the lecture notes is examinable.

The exam questions will be solvable with the material covered in the lecture notes.

Alternatively, if you have mastered any of the books listed above, you should be set for the exam.