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Math Advanced commutative algebra
Fall quarter
Lectures: Thursday - in PDL CInstructor: Jarod Alper ()
Office hours: Wednesday pm in PDL C
Textbooks: There is no required textbook for the class.
We recommend the following texts:
- Introduction to Commutative Algebra, M.F. Atiyah and I.G. Macdonald.
- Commutative Algebra with a View Toward Algebraic Geometry, David Eisenbud
- Commutative Ring Theory, Hideyuki Matsumura
- Ideals, Varieties, and Algorithms, David A.
Cox, John Little, Donal O’Shea
- Cohen-Macaulay rings, Winfried Bruns and Jürgen Herzog.
- The stacks project
Syllabus: This course is an example-based inquiry into a selection of advanced themes in commutative algebra.
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We will also discuss what makes an effective math lecture, and sstudents will improve their ability to communicate algebraic ideas by practicing giving short expositions. The topics covered will depend on everyone's interests.
Possible lecture topics:
- Dimens