Introduction to algebraic geometry and commutative algebra

Instructor: Joel Kamnitzer, jkamnitz@math.toronto.edu
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 algebraic sets
    Projective algebraic sets
    Sheaves and varieties
    Dimension, smoothness, Bezout's theorem
    Line bundles, divisors, sheaf cohomology, Riemann-Roch

    Homework:
    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.