Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 748: Algebraic Number Theory

Not offered in 2017/18.

 

Melanie Matchett Wood (Fall 2016):

An introductory graduate level course on algebraic number theory. Topics: a rigorous introduction to the arithmetic of number fields, unique factorization, algebraic integers, Dedekind domains and factorization of ideals, geometry of numbers, Dirichlet's Unit Theorem, ideal class groups, first case of Fermat's Last Theorem, local fields.

 

See old webpage: http://www.math.wisc.edu/~mmwood/748Fall2014/748.html

 

Text: http://www.jmilne.org/math/CourseNotes/ANT.pdf

credits: 
3 (N-A)
semester: 
Fall
prereqs: 
a one-year course on Abstract Algebra at the graduate level, including various standard facts about groups, rings, fields, vector spaces, modules, and Galois Theory.

UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, Wi  53706

(608) 263-3054

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