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Last updated:

November 7, 2022

Duration:

Unlimited Duration

FREE

This course includes:

Unlimited Duration

Badge on Completion

Certificate of completion

Unlimited Duration

Description

This course provides an introduction to algebraic number theory.

Topics covered include dedekind domains, unique factorization of prime ideals, number fields, splitting of primes, class group, lattice methods, finiteness of the class number, Dirichlet’s units theorem, local fields, ramification, discriminants.

Course Curriculum

  • [SAM] 1.1-1.3 Unlimited
  • [SAM] 1.4-1.7 Unlimited
  • [SAM] 2.1-2.5 Unlimited
  • [SAM] 2.6-2.9 Unlimited
  • [SAM] 3.1-3.5 Unlimited
  • Valuations and completions lecture Unlimited
  • Local fields and GP/Sage sessions Unlimited
  • [SAM] 4.1-4.3 Unlimited
  • [SAM] 4.4-4.7 Unlimited
  • [SAM] 5.1-5.2 Unlimited
  • [SAM] 5.3-5.4 Unlimited
  • [SAM] 5.5-5.7 Unlimited
  • Midterm Unlimited

About the instructor

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Instructor Rating

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Reviews

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Courses

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Massachusetts Institute of Technology