University: Massachusetts Institute of Technology
Instructors: Prof. Kiran Kedlaya
Course Number: 18.726
This course provides an introduction to the language of schemes, properties of morphisms, and sheaf cohomology. Together with 18.725 Algebraic Geometry, students gain an understanding of the basic notions and techniques of modern algebraic geometry.
18.705 Commutative Algebra (or equivalent)
18.725 Algebraic Geometry (or equivalent)
A suitable equivalent for 18.725 is familiarity with one of:
Some exposure to homological algebra and rudimentary category theory (e.g. in 18.905 Algebraic Topology). I'll introduce what I need as I go along, but possibly in a pretty loose way with a lot of assertions left as "exercises for the listener."
The notes below were discussed in the lectures specified in the table. As indicated, some notes spanned more than one lecture, and some lectures covered topics from more than one set of lecture notes.