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Algebraic number theory

Index of /pub/500G_3/Texts/Science/Number Theory

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International Conference in Number Theory and Physics - Mini Course - Gonek - 01

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Send to friends and colleagues. Modify, remix, and reuse just remember to cite OCW as the source. This course is a first course in algebraic number theory. Topics to be covered include number fields, class numbers, Dirichlet's units theorem, cyclotomic fields, local fields, valuations, decomposition and inertia groups, ramification, basic analytic methods, and basic class field theory.

An additional theme running throughout the course will be the use of computer algebra to investigate number-theoretic questions; this theme will appear primarily in the problem sets. Kiran Kedlaya.

Lecture Notes on Algebraic Number Theory

Spring For more information about using these materials and the Creative Commons license, see our Terms of Use. Topics in Algebraic Number Theory. In addition, Marcus Number Fields has been placed on reserve in the math library but it is not a textbook.

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Homework and Grades: There will be a weekly problem set and the grade will be based only on these problem sets. You may choose to do, instead of one of the problem sets, a final project of your choice. Course Description Modern number theory lies at the interplay between algebra, geometry, representation theory and analysis and the interactions among these fields led to numerous advances in the last half century.

Notre Dame Department of Mathematics.

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