Math 221, Commutative Algebra

Instructor: Mihnea Popa

Mihnea Popa
Office: SC 537
Tel: 617-495-4825
email: mpopa@math.harvard.edu
  • Meeting times: WF 10:30-11:45 via Zoom
  • First meeting: Friday, September 4, 2020
  • Office hours: Thursday 1.30-2.30pm, and by appointment
  • CAs:     Christopher Dowd cjdowd@college.harvard.edu     and Mikayel Mkrtchyan mkrtchyan@college.harvard.edu
  • Recommended books: During the first part of the course we will often use M. Atiyah and I. G. MacDonald, "Introduction to Commutative Algebra"; during the second part, we will sometimes make use of D. Eisenbud, "Commutative Algebra with a view toward Algebraic Geometry", and H. Matsumura, "Commutative Ring Theory". I will also use personal lecture notes throughout the course.
Brief course description: Primary decomposition and associated primes. Integral extensions, going up and going down theorems. Noether normalization. Dimension theory. Depth, regular sequences, Cohen-Macaulay rings. Homological methods. Regular local rings. Auslander-Buchsbaum theorem.
Recommended Prep: Math 122-123 (Algebra I-II)
Technical details: The course will consist of Zoom delivered regular lectures. Zoom and other technical details will appear on the Canvas course page. This page will be updated regularly.
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