MATH 6670
Algebraic Geometry
A first course in algebraic geometry. Affine and projective varieties. The Nullstellensatz. Schemes and morphisms between schemes. Dimension theory. Potential topics include normalization, Hilbert schemes, curves and surfaces, and other choices of the instructor.
spring 2026
Readings
- Hartshorne, Robin, Algebraic Geometry , Springer, 1977 (ISBN: 0-387-90244-9) — free e-book through the Cornell Math Library
- Vakil, Ravi, The Rising Sea: Foundations of Algebraic Geometry , Princeton University Press, 2025 (ISBN: 978-0-691-26866-8)
Prerequisites & course information
MATH 6310 or MATH 6340, or equivalent.
Sources
- Course catalogue ↗2026-2027
- Official public course syllabus or department reading list ↗spring 2026