Algebraic Number Theory
Lectures: Tuesdays 14:00-17:00 in PHYSD 103
Office Hour: Tuesday 11:00-12:00
Syllabus
Optional Coursework
Course Notes
Course blog
Supplementary Material
* A narrowly practical
course summary (updated, February, 2009)
* Supplement on computing integral bases
Norm and trace via matrices
* Integral bases and translation
* A few past exam questions
* Polynomial rings and their quotients
* Some remarks on factorization
* Some principal ideals
* Some irrationality
* Some sample class groups
* Primitive elements: an example
* An example of an integral basis
A nice set of lecture notes by James Milne (somewhat advanced)
Wikipedia article on algebraic number fields
Structure theorem for finitely-generated abelian groups