This programme will be held from 17 August to 11 September 2026.

By its very nature, analytic number theory involves a very broad array of methods and tools. It has been instrumental in developing a number of important areas of mathematics, such as representation theory, from the characters of finite abelian groups, used by Dirichlet to study primes in arithmetic progressions, to the representation theory of reductive Lie groups, which is an essential component of the Langlands program. In recent years, important breakthroughs have been achieved using tools borrowed, for instance, from ergodic theory and homogeneous dynamics, from additive combinatorics, or from very fine aspects of probability theory (such as the so-called Gaussian Multiplicative Chaos).

It is because of the truly kaleidoscopic aspect of analytic number theory that young researchers benefit immensely from broad instructional programs where they can get first exposure to some of the new techniques which may be of critical importance in their own research.

The four-week programme at the Bernoulli Center aims at giving exactly this type of insight to PhD students and postdocs.