Notes

Graduate Courses

Starred courses* are current.

Algebra

  • 18.706*: Noncommutative Algebra
  • 18.708*: Topics in Algebra
  • 18.755*: Representation Theory of Compact Lie Groups
  • 18.757: Representation Theory of Lie Groups

Number Theory

  • 18.786*: Introduction to Automorphic Forms
  • 18.787: Selmer Groups and Euler Systems

Algebraic Topology

  • 18.917*: The Chromatic Splitting Conjecture
  • 18.906: Algebraic Topology II, Homotopy Theory

Undergraduate Courses

Algebra and Logic

  • 174: Category Theory (student-led)
  • 250A: Groups, Rings, and Fields
  • 250B: Commutative Algebra
  • 225A: Model Theory

Number Theory and Algebraic Geometry

  • 191: Analytic Number Theory
  • 199: Automorphic Forms (seminar)
  • 256A: Algebraic Geometry, Schemes
  • 256B: Algebraic Geometry, Cohomology
  • 254B: Rational Points on Varieties
  • 254B: Complex Multiplication of Abelian Varieties

Analysis and Topology

  • 104: Real Analysis
  • 185: Complex Analysis
  • 202A: Topology and Measure Theory
  • 215A: Algebraic Topology
  • 214: Smooth Manifolds
  • 261A: Lie Groups and Lie Algebras