Math 631. Algebraic Geometry I

    Here is a copy of the syllabus.

    Problem sets for the discussion session: #1, #2, #3, #4, #5, #6, #7, #8
    Homework assignments: HW1, HW2, HW3, HW4, HW5, HW6, HW7, HW8

    Here are some write-ups reviewing the commutative algebra that we will assume during the course:
    1. Review sheet 1: Finite and integral morphisms.
    2. Review sheet 2: Noetherian modules and Hilbert's basis theorem.
    3. Review sheet 3: Nakayama's lemma and related results.
    4. Review sheet 4: The norm map for finite field extensions.
    5. Review sheet 5: Zero-divisors in Noetherian rings.

Aleksander Horawa has been live live TeX-ing notes during the lectures and he kindly made them available here.

Here are also some notes that I have for the first part of the course:
    Chapter 1. Affine algebraic varieties.
    Chapter 2. Dimension theory.
    Chapter 3. General algebraic varieties .
    Chapter 4. Projective varieties .
    Chapter 5. Proper, finite, and flat morphisms (preliminary version).