**Instructor:** David Nadler

**Office Hours:** by appointment, 815 Evans.

**Lectures:** Tuesdays and Thursdays 9:30-11am, 3 Evans.

**Course number:** 16382

**Prerequisites:** Math 250A-250B or equivalent familiarity with abstract algebra.

**Sources:**

- Hartshorne, Algebraic Geometry.
- Mumford, The Red Book of Varieties and Schemes.
- Vakil, Foundations of Algebraic Geometry (FOAG).
- Gathmann, Course notes.

**Syllabus:** This will be an introduction to algebraic geometry in the language of schemes.

- Sheaves (FOAG, Chapter 2).
- Affine schemes (FOAG, Chapter 3).
- Schemes (FOAG, Chapter 4).
- Properties of schemes (FOAG, Chapter 5).
- Morphisms of schemes (FOAG, Chapter 6 and some of Chapters 7-9).
- Varieties (FOAG, Chapter 10).
- Dimension, smoothness (FOAG, some of Chapters 11-12).

**Evaluation:**
There will be a weekly quiz but no exams.

- Quiz 1 (Th Aug 31, 2017)
- Quiz 2 (Th Sep 7, 2017)
- Quiz 3 (Th Sep 14, 2017)
- Quiz 4 (Th Sep 21, 2017)
- Quiz 5 (Th Sep 28, 2017)
- Quiz 6 (Th Oct 5, 2017)
- Quiz 7 (Th Oct 12, 2017)
- Quiz 8 (Th Oct 19, 2017)
- Quiz 9 (Th Oct 26, 2017)
- Quiz 10 (Th Nov 2, 2017)