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Math 686R Section 1

Winter 2015

301 TMCB
1:00-1:50 PM MWF

Instructor: Darrin Doud
Office: 322 TMCB
Office Hours: MWF 2:00 or by appointment

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Course Description

This semester we will study the book "Primes of the form x²+ny²: Fermat, Class Field Theory, and Complex Multiplication." By concentrating on a specific problem, we will undertake an overview of modern algebraic number theory which will take us from quadratic reciprocity in the 18th century through algebraic number fields and class field theory in the 19th and early 20th centuries to the study of modular forms and elliptic curves in the late 20th century. The course will be reasonably self contained, but a knowledge of algebra (at least through Math 372) will be needed. Math 487 and Math 586 may be helpful, but we will review the necessary facts (especially for Math 586) as they are needed.

Course Documents

Syllabus

The textbook is freely available from the publisher from on campus computers, thanks to a subscription of the Harold B. Lee Library. From off-campus computers, you will need to log in with your MyBYU ID.

Wyman, What is a Reciprocity Law?