Commutative Algebra and Algebraic Geometry

Course info

• Class hours: M & W 12:30 - 2:00 pm
• Location: Room 002
• Office hours: Before or after the classes, or ask in email.

-No class on 30/09 -Make up class on 01/10 at 1:55-3:25 pm (room 002)

Course title: Commutative Algebra and Algebraic Geometry — CAG
Final grade: Homeworks (50%) + 2 midterms (50%)

Documents

• Course description
• Commutative algebra notes (Under construction)
• Algebraic geometry lecture notes by Andreas Gathman
• Proof of the Nullstellensatz by Dragos Oprea

Homework

• HW 1 Due: 28/09
• HW 2 Due: 19/10
• HW 3 Due: 09/11

Midterms

• 1. October 21
     Topics: Commutative algebra, prime, primary and maximal ideals, radicals, affine varieties, Hilbert’s Nullstellensatz, Noetherian rings, Noether-Lasker theorem, Noetherian topological spaces, localisation, sheaf of regular functions