Reading assignment for January 20th: Sections 1.1, 1.2, and 1.3 of the text. You are encouraged to work on the exercises at the end of chapter 1, while reading. We will also work on some of these exercises in groups during the meeting.
Reading assignment for January 27th: Sections 1.4 on Monomial ideals.
Reading assignment for February 3rd: Section 1.5 on Integral closure of rings and Section 1.6 on how integral closure arises.
Reading assignment for February 10th: No reading assignment this week. Catch-up and work on Exercises from Chapter 1.
Reading assignment for February 17th: Section 2.1 on Basic facts about Integral closure of rings.
Reading assignment for February 24th: Section 2.2 on Lying-Over, Incomparability, Going-Up, Going-Down.
Reading assignment for March 3rd: Section 2.3 on Integral closure and grading.
Reading assignment for March 10th: No reading assignment this week. Catch-up and work on Exercises from Chapter 2.
Reading assignment for March 23rd: Section 4.4 on Jacobian ideals and Section 4.5 on Serre’s conditions.
Reading assignment for April 6th: Section 6.1 - 6.4 on Valuation rings.
Reading assignment for April 17th: Section 6.5 - 6.6 on Valuation rings.
Reading assignment for April 27th: Section 6.7 - 6.8 on Valuation rings.
