University: Massachusetts Institute of Technology
Instructors: Prof. Abhinav Kumar
Course Number: 18.786
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.
Real Analysis (18.100) and Algebra II (18.702). A background in elementary number theory (e.g., 18.781) is strongly recommended.
The problem sets for this course account for 50% of each student's grade. Students are encouraged to work on the homework in groups, but you must write up your own solutions.