Algebraic Number Theory
Math 523 - Spring 2011

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Announcements

• The semester is over. Have a nice break!

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Hours

• Course Hours:
  Tuesday 10:40-12:30, room M214
  Wednesday 15:40-16:30, room M231
• Problem Solving Hour:
  Wednesday 16:40-17:30, room M231
• Office Hours:
  Monday 14:00-17:00

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Grading

• Midterm I, November 1. (30%)
• Midterm II, December 6. (30%)
• Final, January 10. (40%)
• Project, January 6. (Bonus)
  (You may use the sample.tex,
  with output sample.pdf.)

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Textbooks

• Marcus, Number Fields.
• Cox, Primes of the Form x^2 + ny^2.

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Course Outline

• Preliminaries
  Homework 1, Homework 2.
• Number fields
  Homework 3, Homework 4.
• Prime decomposition
  Homework 5, Homework 6, Homework 7.
• The ideal class group and units
  Homework 8, Homework 9.
• Class field theory
  Homework 10.

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Relevant Pages

• The software PARI / GP is very simple to learn and
  extremely strong to do computations with.