Arizona Winter School 2001
Course Descriptions and Notes

Kevin Buzzard: p-adic modular forms

• Notes from Buzzard's lectures:
  • Lecture 1: dvi, ps, pdf
  • Lecture 2: dvi, ps, pdf
  • Lecture 3: dvi, ps, pdf
  • Lecture 4: dvi, ps, pdf
• Buzzard's project was about computing the U operator on overconvergent 2-adic modular forms of level 1 and even weight: dvi, ps, pdf
• Buzzard's students' write-up of their lecture: dvi, ps, pdf

Laurent Clozel: The local Langlands conjecture

• Clozel's project description in html

Barry Mazur, assisted by Tom Weston: Euler systems

• Preliminary notes for Mazur's lectures: dvi, ps, pdf
• More detailed notes by Mazur's students: dvi, ps, pdf
• Mazur's project description: dvi, ps, pdf
• “Notes on Kato-Siegel functions,” used in Mazur's students' lectures: dvi, ps, pdf
• A paper by Tom Weston on “The modular curves X₀(11) and X₁(11)”: ps, pdf
• Another paper by Tom Weston, on “The Euler system of Heegner points”: dvi, ps, pdf
• A repository at Harvard of documents related to Mazur's lectures and project

Dinakar Ramakrishnan: Modular forms over CM fields

• An outline of Ramakrishnan's course and his project description: dvi, ps, pdf

Peter Sarnak: Analytic theory of automorphic L-functions and applications

• Sarnak's course description and project in html
• A list of references for Sarnak's course: dvi, ps, pdf

Professional Development Component
Silvo Levy: Writing and communicating mathematics

• Levy's course description in html