The Southwest Center for Arithmetic Geometry Donate to the AWS!

Arizona Winter School 2027: Rationality and Irrationality: Geometry and Arithmetic

AWS 2027 will be held March 6-10, 2027 at the University of Arizona in Tucson, AZ. For more information go here.

Application/registration is required if you are planning to attend. Registration will open in mid September.

Organizers: Renee Bell, Daniel Erman, and Anthony Várilly-Alvarado (main program)
with Brandon Levin, Padma Srinivasan, Isabel Vogt, and Hang Xue.

Funded by the National Science Foundation, and organized in partnership with the Clay Mathematics Institute.

Please refer to University of Arizona academic calendars for the tentative dates of future Winter Schools. (The AWS begins on the first day of the University of Arizona's Spring Recess in any given year.)


Preliminary Arizona Winter School 2026: Quaternion Algebras and Algebraic Geometry via Computation

The Preliminary Arizona Winter School (PAWS) is a virtual program on topics related to the upcoming AWS, with an intended audience of advanced undergraduate students and junior graduate students.

Registration is now open! You can apply for the program here. The deadline to apply is July 25th, 2026.

September 14th — November 13th, 2026

PAWS 2026 consists of two concurrent lecture series. Format: The program will run for 9 weeks, alternating between 5 weeks of lectures and 4 weeks of problem sets (with a TA session)

Each lecturer will be accompanied by graduate student assistants, who will be in charge of writing weekly problem sets and facilitating weekly, hour-long problem solving and discussion meetings with groups of students. Quaternion algebras will assume only a first undergraduate course in abstract algebra as a prerequisite, including some knowledge of fields and field extensions. Computational algebraic geometry will assume fluency with algebra at a beginning graduate level such as groups, rings, fields and modules, but will not assume any prior knowledge of algebraic geometry.

Organizers: Brandon Levin, Padmavathi Srinivasan, and Isabel Vogt (main organizers)
with Anthony Várilly-Alvarado, Renee Bell, and Hang Xue.

Funded by the American Institute of Mathematics.