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).