Topics in Algebraic Number Theory
18.786 · Mathematics · Graduate · Spring 2010
Prof. Abhinav Kumar
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.
The syllabus, on MIT OpenCourseWare
The full course — syllabus, assigned readings, problem sets, exams, and lecture notes — lives on OCW. These open the real thing:
Syllabus ↗
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Readings ↗
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Attribution
Prof. Abhinav Kumar. 18.786 Topics in Algebraic Number Theory. Spring 2010. Massachusetts Institute of Technology: MIT OpenCourseWare, https://ocw.mit.edu. License: CC BY-NC-SA 4.0.
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