Chair of Analytic Number Theory

The Theory of Analytical Numbers (TAN) Chair at EPFL focuses on Analytic Number Theory, studying properties of integers, especially prime numbers, using methods from analysis. Originating from Euler's proof of the infiniteness of prime numbers, the chair delves into the zeta function, L-functions, and the Prime Number Theorem. TAN integrates diverse techniques like L-functions, the Hardy-Littlewood circle method, and Sieve methods, along with concepts from arithmetic algebraic geometry, automorphic forms, and ergodic theory. The project aims to unify these methods to advance number theory.