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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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Courses
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Students
![Profile Photo](https://opencoursa.com/wp-content/uploads/avatars/809/62de1041c5027-bpfull.jpg)
Massachusetts Institute of Technology