Prof. Abhinav Kumar
This course provides an introduction to algebraic number theory. Topics covered include dedekind domains, unique factorization of prime ideals, number fields, splitting of primes, class group, lattice methods, finiteness of the class number, Dirichlet's units theorem, local fields, ramification, discriminants.
Kumar, Abhinav. 18.786 Topics in Algebraic Number Theory, Spring 2010. (MIT OpenCourseWare: Massachusetts Institute of Technology), http://ocw.mit.edu/courses/mathematics/18-786-topics-in-algebraic-number-theory-spring-2010 (Accessed). License: Creative Commons BY-NC-SA