Analytic number theory. Algebraic number theory. Local and global fields, their Galois groups and representations of these groups. Zeta and L-functions and their special values. Diophantine equations. Arithmetic on algebraic varieties. Diophantine approximation, transcendental number theory and geometry of numbers. Arakelov theory. Modular forms and curves. p-adic analysis. p-adic representations of p-adic groups. Computational number theory.