Math 615: Topics in Commutative Algebra

• Instructor: Yongwei Yao, Office: 1851 East Hall. Office phone: (734)763-2423.
• Class: 1:00-2:00pm at 3088 East Hall, Monday, Wednesday and Friday.
• Office hours: 1:00--3:00pm Tuesday and Thursday at 1851 EH. Or by appointment. Or by e-mail.
• Prerequisite: Math 614. For example, Hochster's Math 614 in Fall 2003.
• Syllabus: See Winter 2005 Course Descriptions. Or see the class hand-out as dvi file, ps file, or pdf file.
• UM academic calendar, Winter 2005.

Homework assignments: There are 4 homework assignments, each containing about 5 problems.

• Homework Set #1: dvi file, ps file, or pdf file. Solutions: dvi file, ps file, or pdf file.
• Homework Set #2: dvi file, ps file, or pdf file. Solutions: dvi file, ps file, or pdf file.
• Homework Set #3: dvi file, ps file, or pdf file. Solutions: dvi file, ps file, or pdf file.
• Homework Set #4: dvi file, ps file, or pdf file. Solutions: dvi file, ps file, or pdf file.

Helpful sources: The following sources, among others, should be helpful:

• M. Hochster's Math 715 lecture notes (Fall 2002, Winter 2003), available online.
• M. Hochster and C. Huneke, Tight closure, invariant theory, and the Briancon-Skoda theorem, Jour. of Amer. Math. Soc. 3 (1990), no. 1, 31--116. Available online at JSTOR.
• C. Huneke, Tight closure and its applications, CMBS regional Conference Series in Mathematics, no. 88.