Introduction to algebraic geometry and commutative algebra

Instructor: Joel Kamnitzer,
Lectures: Tu 10-11:30am BA 2165, Th 9:30-11:00 am room BA 2155
Office: 6110 Bahen 416-978-5163
Office Hours: Thursday 11:00-12:00 and 1:00-2:00

Grading scheme:

  • Homework (every 2-3 weeks) 60%
  • Final 40%

  • Text: Algebraic geometry, an introduction, Nicholas Perrin (available free through the library website)

    Other useful references:
  • J.S. Milne's notes, Algebraic geometry.
  • Hartshorne, "Algebraic geometry"
  • Mumford, "Algebraic geometry I: Complex projective varieties"
  • Kempf, "Algebraic varieties"

  • Syllabus:
    Affine varieties and the Nullstellensatz
    Projective varieties
    Sheaves and abstract varieties
    Tangent spaces and smoothness
    Divisors on curves and line bundles

    Homework 1, due Thur. Sept 24.
    Homework 2, due Thur. Oct 8.
    Homework 3, due Thur. Oct 22.
    Homework 4, due Tues. Nov 10.
    Homework 5, due Thur. Nov 26.

    Here is an exam review sheet.