The distribution properties of arithmetic objects motivates a big part of analytic number theory. Perhaps the best known example is the study of primes and their distribution in arithmetic progressions. This course will concentrate on a different class of examples, starting with the distribution of quadratic residues and culminating in a proof that CM points are uniformly distributed. A recent application of this to the traces of singular moduli will be given.
Prerequisites: Basic working knowledge of number theory.
Texts: Various references will be used, including Iwaniec and Kowalski: Analytic Number Theory.