Expository articles and presentations

Here are links to expository articles I have written. There is large variation in their quality and they have generally not been proofread, so use at your own risk!

  • Atiyah-Hirzebruch
  • Bott periodicity
  • complex multiplication
  • Cohen-Macaulay rings
  • cohomological descent
  • Dold-Kan
  • J-homomorphism
  • Mordell-Weil
  • Riemann surfaces are algebraic
  • Standard conjectures
  • Weil conjectures for abelian varieties
  • Weil conjectures for curves

    • And here are some slides for presentations.

  • anabelian geometry
  • motivic cohomology
  • Grothendieck