Hausdorff School: “The Circle Method”

Entering its Second Century

Dates:
June 29 - July 3, 2020

Venue: Lipschitz-Saal (Endenicher Allee 60, Bonn)

Organizers: Lillian Pierce (Duke University), Oscar Marmon (University of Lund)

The Circle Method emerged one hundred years ago from ideas of Ramanujan, Hardy and Littlewood, and quickly became the most powerful analytic method for counting solutions to Diophantine equations. As the Circle Method enters its second century, new work is making significant advances both in strengthening results in classical Diophantine settings, and in demonstrating applications in novel settings. This includes function field, number field, adelic, geometric, and harmonic analytic applications, with striking consequences in areas such as ergodic theory, subconvexity for $L$-functions, and the Langlands program.

This summer school for graduate students and postdocs will present accessible lecture series that demonstrate how to apply the Circle Method in a wide variety of settings. Participants will gain both a foundational understanding of the core principles of the Circle Method, and an overview of cutting-edge applications of the method.

Key Speakers: The following speakers will give a lecture series:

•  Timothy Browning (IST Austria)
•  Jayce Getz (Duke University)
•  Ritabrata Munshi (Tata Institute)
•  Simon Myerson (Universität Göttingen)
•  Lillian Pierce (Duke University)

• Julia Brandes (University of Gothenburg)
• Damaris Schindler (University of Utrecht)
• Pankaj Vishe (Durham University)

Please send applications using the form below. Limited financial support for PhD students and postdocs may be available.
To be considered for participation, a CV and Letter of Intent (1 page) are required, as well as the name and contact information of a potential reference. (At this time, do not request a letter of recommendation.) Only one document can be uploaded, so please combine all documentation into one PDF.

Please note: Everyone interested in participating - disregarding whether there is need for financial support or not - has to register so that the participation may be administered. Everyone will be notified in due time about whether participation and partial financial support is possible.

Late applications may be considered, but to be given full consideration, please complete all information before the deadline.

The deadline for applications is 10 January 2020.