Topic: Algebraic number theory from the global perspective covering number fields and their rings of integers and their discriminants and ideals and their norms and traces, the quadratic reciprocity law, the finiteness of an ideal class group and its applications to Diophantine equations, the Dirichlet Unit Theorem and the fundamental units of real quadratic fields and their construction via continued fractions.

Prerequisites

Elementary number theory, module theory and Galois theory.