Lecture Notes | Number Theory I | Mathematics | MIT OpenCourseWare

Course Info

Instructor

Dr. Andrew Sutherland

Departments

Mathematics

As Taught In

Fall 2021

Level

Graduate

Topics

Mathematics
- Algebra and Number Theory
- Topology and Geometry

Learning Resource Types

Online Textbook

Lecture Notes

Problem Sets

Download Course

Lecture Notes

18.785 (F2021) Lecture 22: The Main Theorems of Global Class Field Theory

18.785 (F2021) Lecture 23: Tate Cohomology

18.785 (F2021) Lecture 24: Artin Reciprocity in the Unramified Case

18.785 (F2021) Lecture 27: Local Class Field Theory

18.785 (F2021) Lecture 4: Étale Algebras, Norm and Trace

18.785 (F2021) Lecture 7: Galois Extensions, Frobenius Elements, and the Artin Map

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Course Info

Instructor

Dr. Andrew Sutherland

Departments

Mathematics

As Taught In

Fall 2021

Level

Graduate

Topics

Mathematics
- Algebra and Number Theory
- Topology and Geometry

Learning Resource Types

Online Textbook

Lecture Notes

Problem Sets

Download Course

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