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Arizona Winter School 2013: Modular forms and modular curves
The 2013 AWS was 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
,
slides
Lecture 3:
video
,
slides
Lecture 4:
video
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slides
Lecture 5:
video
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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
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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
,
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
,
slides
Lecture 2:
video
,
slides
Lecture 3:
video
,
slides
Lecture 4:
video
,
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)