The Mathematics Department of the Pennsylvania State University and the Institute of Mathematics of Göttingen University will host a Summer School on Number Theory in Göttingen, Germany, from July 29 to August 18, 2012. This program is designed to provide educational and research experience for advanced undergraduate and beginning graduate mathematics students enrolled in universities in the United States and countries of the European Union. The program consists of mini-courses, problem sessions, and projects with computer lab and theoretical components. All projects will be performed in teams with students from different countries to provide a first-hand international experience. Each participant will receive a stipend to cover travel expenses and lodging.

There will be a research conference on number theory during the last week of the program. Many of the talks will be expository and should be accessible to students.

Summer School Poster

Summer School Website in German

• Valentin Blomer (Göttingen): Automorphic form with applications
• Jörg Brüdern (Göttingen): Counting rational points on algebraic varieties
• Rainer Dietmann (London): Probabilistic Galois theory
• Gergely Harcos (Budapest): L-functions and equidistribution
• Preda Mihailescu (Göttingen): Computational number theory and cryptography
• Mihran Papikian (Penn State): Drinfeld modules

• C. Berghoff, T. Morrison, Y. Qiu, T. Sicking, Ideal classes and matrix conjugation over F_q[X] (Instructor: M. Papikian)
• P. Breiding, D. Samart, Kroneker's jugendtraum (Instructor: P. Mihailescu)
• A. Castillo, A. Henniges, T. Schindler, Large sieve over Zⁿ (Instructor: R. Dietmann)
• A. Castillo, A. Henniges, T. Schindler, Improved upper bound for the number of cubic polynomials (Instructor: R. Dietmann)

• J. Fintzen, B. Hwang, L. Jain, Explicit convergence of holomorphic theta function on the Drinfeld upper half-plane (Instructor: M. Papikian)

• A. Gafni, Representations as the sum of five products of squares (Instructor: J. Brüdern)
• M. Kreh, Bessel Functions (Instructor: V. Blomer)