Arizona Winter School 2013: Modular forms and modular curves

The 2013 AWS will be held March 9-13, 2013 at the University of Arizona in Tucson, AZ.

• Schedule and other important information
• Organizers: Mirela Ciperiani and David Savitt (main program), Bryden Cais, Matthew Papanikolas, Rachel Pries, and Romyar Sharifi.

Courses:

• SHORTTITLE  Frank Calegari: Congruences between modular forms

  • Course and project outline
  • Lecture notes and project descriptions
  • Reading list
  • Video:
    • Lecture 1: video, slides
    • Lecture 2: video (part 1), video (part 2), slides
    • Lecture 3: video, slides
    • Lecture 4: video, slides
    • Lecture 5: video, slides

• SHORTTITLE  Toby Gee: Modularity lifting theorems

  • Course and project outline
  • Lecture notes and project description
  • Video:
    • Lecture 1: video, slides
    • Lecture 2: video, slides
    • Lecture 3: video, slides
    • Lecture 4: video, slides

• SHORTTITLE  Ken Ono: Harmonic Maass forms, mock modular forms, and quantum modular forms

  • Course and project outline
  • Lecture notes and project descriptions
  • Reading list
  • Video:
    • Lecture 1: video, slides
    • Lecture 2: video, slides
    • Lecture 3: video (part 1), video (part 2), slides
    • Lecture 4: video, slides

• SHORTTITLE  Jared Weinstein: Modular curves at infinite level

  • Course and project outline
  • Lecture notes and project descriptions
  • Reading list
  • Video:
    • Lecture 1: video (part 1), video (part 2), slides
    • Lecture 2: video, slides
    • Lecture 3: video, slides
    • Lecture 4: video (part 1), video (part 2), slides

Problem sessions:

• SHORTTITLE  Ana Caraiani: Modular forms and Galois representations

  • Problem sets

• SHORTTITLE  Amanda Folsom: Weak Maass forms, mock modular forms, and q-hypergeometric series

  • Problem sets

Project assistants:

• SHORTTITLE  James Newton (Calegari), David Geraghty (Gee), Rob Rhoades (Ono), Jay Pottharst (Weinstein)