MA 313: Algebraic Number Theory

Credits: 3:0


Prerequisite courses: MA 213

Number fields and rings of integers, Dedekind domains; prime factorization, ideal class group, finiteness of class number, Dirichlet’s unit theorem, cyclotomic fields, theory of valuations, local fields.


Suggested books and references:

  1. Jurgen Neukirch, Algebraic Number theory, Springer, 1999.
  2. Daniel A. Marcus, Number fields, Springer Universitext, 2018.
  3. J.P Serre, Local fields, Springer GTM 67, 1979.

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Contact: +91 (80) 2293 2711, +91 (80) 2293 2265 ;     E-mail: chair.math[at]iisc[dot]ac[dot]in
Last updated: 31 Jan 2025