Course notes

• Algebraic number theory (ps pdf) Course notes from a tutorial I gave at Harvard in 1999. Not brilliant, and I really dislike some parts, but you could do a lot worse. A couple of somewhat more recent supplementary articles:
  • An introduction to local fields (ps pdf) A quick introduction to local fields and their Galois theory.
  • The idelic approach to number theory (ps pdf) An introduction to adeles and ideles, working towards a proof of the Dirichlet unit theorem and the finiteness of the class group. Similar to the relevant portion of Lang's Algebraic number theory, but with more details and more of an emphasis on the underlying topology.
• Euler systems in arithmetic geometry (ps pdf) My course notes from Barry Mazur's 1998 course on Euler systems. Any errors in the notes are, of course, probably my fault.
• Barry Mazur's 1998 notes on Euler systems (ps pdf) Mazur's own notes on that course. Much less extensive than mine, but somehow much more charming.
• Barry Mazur's 1999 notes on Euler systems (ps pdf) Mazur's notes from his 1999 course on Euler systems.