Math 8211: Commutative and Homological Algebra

COURSE SYLLABUS

Fall 2019

CLASS MEETINGS: MWF 10:10-11:00 (Vincent Hall 206)

INSTRUCTOR: Sasha Voronov

OFFICE: VinH 324

PHONE: (612) 624-0355

E-MAIL ADDRESS: voronov@umn.edu. You are welcome to use e-mail to send questions to me.

INTERNET: All class announcements and assignments will be posted on the class homepage http://www-users.math.umn.edu/~voronov/8211-19/ and NOT handed out in class.

OFFICE HOURS: Mon 3:35-4:25, Wed 12:20-1:10, Thu 2:30-3:20, or by appointment.

TEXT:  Commutative and Homological Algebra with a View Toward Algebraic Geometry, 1st edition, corrected 3rd printing of 1999-2004 (preferably), by David Eisenbud (available for purchase at the bookstore and on the Internet; also on reserve in the Math Library).

CONTENT: In the Fall, my goal is to cover the "first half" of Eisenbud's book.

PREREQUISITE: Math 8201-02: General Algebra. In principle, a good undergraduate course in algebra should suffice. On the other hand, expect to learn some additional material and catch up on your own. In other words, there may be occasional gaps between what you learned in your algebra course and I assume you to know. In particular, you should be comfortable with prime/maximal ideals and (co)kernels of maps, as well as group actions and linear algebra.

GETTING HELP:

REQUIREMENTS: : There will be homeworks due every other week, but no exams.

GRADING: Based on your homework. Class participation may be taken into account. Grades will be assigned on a curve. I expect you to put enough hard work to earn grades not lower than a B. The curve does not exclude the possibility of everybody getting A's, though, but this happens rather rarely.

IMPORTANT DATES:

September 4: First class meeting.

September 18: First homework due.

November 28-29: Thanksgiving Break.

December 11: Last class meeting.

Page created on 9/4/2019. First homework due date changed 09/12. Office hours changed 10/01