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 is open and will close on November 24th. For more information go here.

All participants must abide by the AWS Code of Conduct and the University of Arizona nondiscrimination and anti-harassment policy.

Speakers:

• SHORTTITLE  Asher Auel: Rationality and specialization

• SHORTTITLE  Sarah Frei and Isabel Vogt: The intermediate Jacobian torsor obstruction

• SHORTTITLE  Stefan Schreieder: Matroids and retract irrationality of cubic threefolds

• SHORTTITLE  Tony Yue Yu: F-bundles and cubic fourfolds

With Clay lecturer: Yuri Tschinkel

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

Please contact aws@swcmath.org with any questions.

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.)

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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. For more information go here.

Registration is now closed; the deadline to apply was August 1st, 2026. Videos, notes, and problem sets will be available at this page for anyone who missed the registration deadline.

September 14th — November 13th, 2026

PAWS 2026 consists of two concurrent lecture series.

• SHORTTITLE  Jen Berg: Quaternion algebras

• SHORTTITLE  Juliette Bruce: Algebraic Geometry via Computation

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.