Administrivia | Prerequisites and text | HW and exams | HW and exam solutions | Lecture notes | Handouts |

The course meets from 2:30 to 3:20 MWF in BH 231A.

There will be (lots of) homework, plus a takehome midterm and a takehome final. Collaboration is encouraged on the homework and forbidden on the exams. Homework will typically be set in each class meeting and will be due at the following class meeting, late homework will not be accepted.

Many important ideas will be developed in the homework and then used without comment in class. So it is essential that you do the homework!

My tentative plan is to compute grades according to the formula: 40 percent for homework, 20 percent for midterm, 40 percent for final. This plan may change as the term progresses.

I have no regular office hours but am always happy to meet with students by appointment (send me email to make an appointment). My office is Wean Hall 7101 and my email address is jcumming@andrew.cmu.edu.

My plan is to generate a set of online lecture notes. This will require a modest amount of help from you; in each lecture one student will be designated as the "scribe for the day" and required to take detailed and legible notes. You can either give me a copy of these notes or (if you want to be especially helpful) transcribe them into LaTeX and email them to me. I will correct and expand the notes based on feedback from students.

Prerequisites: a knowledge of the basic facts about rings, groups and fields. The Algebra I course is more than sufficient.

I plan to cover all the material in the course text, Atiyah and Macdonald's ``Introduction to Commutative Algebra'' plus a modest amount of homological algebra. In parallel with this I will discuss the motivating ideas from algebraic number theory and algebraic geometry.

Supplementary reading which you may find interesting after you are through with this course. On algebraic geometry Hartshorne "Algebraic geometry", Fulton "Algebraic curves", Reid "Undergraduate algebraic geometry", Eisenbud and Harris "The geometry of schemes", Shafarevich "Basic algebraic geometry", Mumford "Algebraic geometry I". On commutative algebra Zariski and Samuel "Commutative algebra", Reid "Undergraduate commutative algebra", Eisenbud "Commutative algebra". On homological algebra Weibel "An introduction to homological algebra", Hilton and Stammbach "A course on homological algebra". On algebraic number theory Frohlich and Taylor "Algebraic number theory", Samuel "Algebraic theory of numbers", Marcus "Number fields".

- Homework 1 in PostScript and PDF. Due Fri 2 September.
- Homework 2 in PostScript and PDF. Due Mon 5 September.
- Homework 3 in PostScript and PDF. Due Fri 9 September.
- Homework 4 in PostScript and PDF. Due Mon 12 September.
- Homework 5 in PostScript and PDF. Due Wed 14 September.
- Homework 6 in PostScript and PDF. Due Mon 19 September.
- Homework 7 in PostScript and PDF. Due Wed 21 September.
- Homework 8 in PostScript and PDF. Due Fri 23 September.
- Homework 9 in PostScript and PDF. Due Mon 26 September.
- Homework 10 in PostScript and PDF. Due Fri 30 September.
- Homework 11 in PostScript and PDF. Due Mon 3 October.
- Homework 12 in PostScript and PDF. Due Wed 5 October.
- Homework 13 in PostScript and PDF. Due Fri 7 October.
- Homework 14 in PostScript and PDF. Due Wed 12 October.
- Homework 15 in PostScript and PDF. Due Wed 19 October.
- Final in PostScript and PDF. Due by 18 December.

- Homework 1 solutions in PostScript and PDF.
- Homework 2 solutions in PostScript and PDF.
- Homework 3 solutions in PostScript and PDF.
- Homework 4 solutions in PostScript and PDF.
- Homework 5 solutions in PostScript and PDF.
- Homework 6 solutions in PostScript and PDF.
- Homework 7 solutions in PostScript and PDF.
- Homework 9 solutions in PostScript and PDF.
- Homework 10 solutions in PostScript and PDF.
- Homework 11 solutions in PostScript and PDF.
- Homework 12 solutions in PostScript and PDF.
- Homework 13 solutions in PostScript and PDF.
- Homework 14 solutions in PostScript and PDF.
- Homework 15 solutions in PostScript and PDF.
- Homework 16 solutions in PostScript and PDF.
- Homework 17 solutions in PostScript and PDF.
- Homework 18 solutions in PostScript and PDF.
- Homework 19 solutions in PostScript and PDF.
- Homework 21 solutions in PostScript and PDF.
- Homework 22 solutions in PostScript and PDF.
- Homework 23 solutions in PostScript and PDF.

- Lecture 1 in PostScript and PDF. Scribe: Jeremy Bradford.
- Lecture 2 in PostScript and PDF. Scribe: Peter Lumsdaine.
- Lecture 3 in PostScript and PDF. Scribe: Claire Tomesch.
- Lecture 4 in PostScript and PDF. Scribe: Jonathan Gross.
- Lecture 5 in PostScript and PDF. Scribe: Yimu Yin.
- Lecture 6 in PostScript and PDF. Scribe: Rob Bayer.
- Lecture 7 in PostScript and PDF. Scribe: George Schaeffer.
- Lecture 8 in PostScript and PDF. Scribe: Matthew Wright.
- Lecture 9 in PostScript and PDF. Scribe: Peter Glenn.
- Lecture 10 in PostScript and PDF. Scribe: Spas Bojanov.
- Lecture 11 in PostScript and PDF. Scribe: Claire Tomesch.
- Lecture 12 in PostScript and PDF. Scribe: Lars Aiken.
- Lecture 13 in PostScript and PDF. Scribe: Jeremy Bradford.
- Lecture 14 in PostScript and PDF. Scribe: Peter Lumsdaine.
- Lecture 15 in PostScript and PDF. Scribe: Jonathan Gross.
- Lecture 16 in PostScript and PDF. Scribe: George Schaeffer.
- Lecture 17 in PostScript and PDF. Scribe: No scribe.
- Lecture 18 in PostScript and PDF. Scribe: Yimu Yin
- Lecture 19 in PostScript and PDF. Scribe: Lars Aiken.
- Lecture 20 in PostScript and PDF. Scribe: Matthew Wright.
- Lecture 21 in PostScript and PDF. Scribe: Spas Bojanov.
- Lecture 22 in PostScript and PDF. Scribe: Jeremy Bradford.
- Lecture 23 in PostScript and PDF. Scribe: Peter Lumsdaine. PRELIMINARY VERSION, MISSING LAST LEMMA.
- Lecture 23 (last bit) in PostScript and PDF. Scribe: Peter Lumsdaine.
- Lecture 24 in PostScript and PDF. Scribe: Claire Tomesch.
- Lecture 25 in PostScript and PDF. Scribe: George Schaeffer.
- Lecture 26 in PostScript and PDF. Scribe: Rob Bayer.
- Lecture 27 in PostScript and PDF. Scribe: Yimu Yin.
- Lecture 28 in PostScript and PDF. Scribe: Jonathan Gross.
- Lecture 29 in PostScript and PDF. Scribe: Peter Glenn.
- Lecture 30 in PostScript and PDF. Scribe: Lars Aiken.
- Lecture 31 in PostScript and PDF. Scribe: Lars Aiken.

- Handout 1 (review of rings) in PostScript and PDF.
- Handout 2 (categories and products) in PostScript and PDF.
- Handout 3 (functors etc) in PostScript and PDF.
- Handout 4 (affine algberaic geometry) in PostScript and PDF.
- Handout 5 (more topology) in PostScript and PDF.