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MTH 670: Algebraic Number Theory

MTH 670: Algebraic Number Theory


Decsription:

Algebraic number fields, integrality and Noetherian properties, Dedekind domains, extensions, ramified and non-ramified extensions, ramification in Galois extensions, class groups and units, cyclotomic fields, L-functions, Dedekind zeta-function, Brauer relations.

Textbooks:
Other readings:
  • Introduction to Commutative Algebra, Atyah, MacDonald
  • Notes from MTH 571-572, Shaska, (unedited)






Homework:
  • Hw 1
  • Hw 2
  • Hw 3
  • Hw 4
  • Hw 5





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