Course/seminar web pages

When I teach a course, I invariably maintain a web page for that course. For advanced courses, this page often ends up with material that may be of use subsequently, so I keep the page up. (For less advanced courses, I typically take the page down so that I can reuse some of the lesson material.) For online materials from more mainstream courses, see MIT OpenCourseWare.

Also included here are the web pages for some reading seminars that I have organized not under a course number.

At UC Berkeley:
- Math 254A (Number Theory, fall 2001)
- Math 254B (Number Theory, spring 2002; see also these updated notes)
At MIT:
- 18.727 (Topics in Algebraic Geometry: rigid analytic geometry, fall 2004)
- 18.726 (Algebraic Geometry, spring 2005)
- 18.786 (Algebraic Number Theory, spring 2006)
- 18.785 (Analytic Number Theory, spring 2007; see also these updated notes)
- 18.787 (Topics in Number Theory: p-adic differential equations, fall 2007)
- 18.726 (Algebraic Geometry, spring 2009)
At UC San Diego:
- 201A (Topics in Number Theory: local fields, fall 2010)
- 203B and 203C (Algebraic Geometry, winter and spring 2013)
- 205 (Topics in Algebraic Number Theory: p-adic Hodge Theory; winter 2014)
- 204B (Number Theory; winter 2015)
- 204C (Number Theory; spring 2015)
- 203B and 203C (Algebraic Geometry; winter and spring 2016)
- 206A (Topics in Algebraic Geometry; spring 2016)
- 204B (Number Theory; winter 2017)
- 206A (Topics in Algebraic Geometry; spring 2017)
- 220C (Complex Analysis; spring 2017)
- 206A (Topics in Algebraic Geometry; fall 2019)
- 203B (Algebraic Geometry; winter 2020)
- 204A (Number Theory; fall 2020)
- 204B (Number Theory; winter 2021)
- 206A (Topics in Algebraic Geometry; spring 2021)
- 204A (Number Theory; fall 2021)
Seminars and reading groups:
- Kolyvagin's application of Euler systems to elliptic curves (spring 2000)
- K-theory (fall 2010)
- Geometric applications of the Langlands correspondence (spring 2019)
- Abelian and nonabelian Chabauty (fall 2019-winter 2020)