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189-726A: Topics in Number Theory I
Algebraic Number Theory

Professor: Henri Darmon
Grader: TBA
Time: MWF 10:30-11:30.
Room: Burnside 1205.
Required Text: Introduction to Algebraic Number Theory, by J. Frolich and M. Taylor, Cambridge University Press.

Syllabus: The theory of algebraic number fields developped by Dedekind, Dirichlet, and Kummer is one of the crowning achievements of 19th century mathematics. Our goal is to give an introduction to the subject, covering most of the fundamental results known at the end of the 19th century, but not the class field theory that was developped in the first half of the 20th century. Topics will include: If time permits, I might also discuss Artin L-functions, or some rudiments on elliptic curves.

Grading Scheme: To be determined.