Course. Math 515, Spring 1998: Introduction to commutative algebra Course location. 317 TH Course hours. MWF 3–4 Call number. 00757 Instructor. D. J. Bernstein

E-mail. djb@math.uic.edu

Office. 410 SEO Office hours. M 4–5, WF 2–3. Other hours by appointment.

Course home page. http://pobox.com/~djb/515.html

Prerequisites. Prior exposure to groups, rings, and fields. Math 514 is not required. Textbook. D. Eisenbud, Commutative algebra with a view toward algebraic geometry. Available at the bookstore. Another textbook: M. F. Atiyah and I. G. McDonald, Introduction to commutative algebra. Useful reference: H. Matsumura, Commutative ring theory. Contents. Commutative algebra is the common language of number theory and algebraic geometry. This course will study the most important types of commutative rings, with many concrete examples arising from applications. Students will be able to relate these examples to their past or future course work in number theory and algebraic geometry. Grading. No examinations. Frequent homework assignments. Your final grade will be determined exclusively by your performance on the homework.