Integrated MSc-PhD Program

SYLLABUS

KSM4E08: Algebraic Number Theory

 

Topics covered: Algebraic integers, the theory of valuations, Riemann-Roch theory, abstract class field theory, local class field theory, global class field theory.

Suggested texts:

          1. Algebraic Number Theory by Jürgen Neukirch
          2. Algebraic Number Theory by Serge Lang
          3. Number Fields by Daniel A. Marcus
          4. Algebraic Number Theory by Albrecht Fröhlich