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Course: Introduction to Algebraic Number Theory Instructor: Vaibhav Vaish Room: G23 Level: Undergraduate Time: Currently offered |
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Syllabus Past Exams Syllabus: Number fields and number rings, prime decomposition in number rings, Dedekind domains, definition of the ideal class group, Galois theory applied to prime decomposition and Hilbert ramification theory, Gauss reciprocity law, Cyclotomic fields and their ring of integers as an example, the finiteness of the ideal class group, Dirichlet Unit theorem. Reference Texts: 1. D. Marcus: Number fields 2. G. J. Janusz: Algebraic Number Theory Evaluation:
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Midterm
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