Analytic Number Theory
During the academic year of 2009-2010, Enrico Bombieri of the School and Peter Sarnak of Princeton University/Institute for Advanced Study led a program on analytic number theory.
The program had an emphasis on analytic aspects, and particular topics that were covered included the distribution of prime numbers, sieves, L functions, special sequences as well as additive and combinatorial methods, exponential sums, spectral analysis and modular forms.
Minicourses explaining some of the basic methods and tools connected with these topics were held towards the beginning of each term, and a weekly seminar took place on Tuesday afternoons. A week-long workshop highlighting recent developments connected with the program was held during the week of March 14, 2010.