MATH 214AIntroduction to Algebraic Geometry
Mathematics · 4 units · Graduate courses (200-299)
Affine and projective varieties. Irreducibility, dimension, singular and smooth points. Rational maps, curves, intersections in projective space. Schemes. Proper and finite morphisms. Coherent and quasi-coherent sheaves. Divisors, line bundles, ampleness.
S/U or letter grading.
When it runs
- Winter 2026
- Winter 2027
Scheduled, not typical — from UCLA’s Schedule of Classes, which publishes Fall 2025 through Spring 2027 and nothing before it.
Requisites
Official UCLA wording
Requisite: course 215A (or 210A, 210B, and 210C with consent of instructor).
BruinTree reads · Prerequisite
needs reviewconfidence 0.55 · from text- · parenthetical alternative "(or 210A, 210B, and 210C with consent of instructor)" in "course 215A (or 210A, 210B, and 210C with consent of instructor)" — scope is a best reading
Requires
Everything that has to come before this course, not just the courses named in the requisite above.
Unlocks
What this course is a requisite for, and what those courses lead to in turn.
MATH 214A
- MATH 214BIntroduction to Algebraic Geometry
1 course lists this as a requisite. The whole downstream is here — 1 course over 1 level. Every course here opens its own tree.