# Math 152 - Topics in Number Theory - Spring 2006

| General Info | Schedule | (Up) Dates | Homework | Further Reading | Handouts |

## General Information

Meeting Time MWF 11-11:50 380-380W (basement, Math building 380) Ben Brubaker (brubaker@math.stanford.edu) Office: 382-F (2nd floor, Math building 380) Office Phone: 3-4507 Office Hours: Wed. 2-5, or by appointment. Kazim Buyukboduk (kazim@math.stanford.edu) Office: 380-U1 (Basement, Math building) Office Hours: Tues., Thurs. 5:30-7 pm Primes of the Form x^2+ny^2, by David Cox 2 Midterms -- 25 % each, Final Project -- 25 %, Homework -- 25% We'll follow the book closely throughout the course, supplementing with extra topics where it is necessary to fill in the background for more advanced sections. Along the way, we'll discover the basics of congruences and modular arithmetic, quadratic reciprocity and higher reciprocity laws, quadratic forms, genus theory, and even the rudiments of class field theory. (You shouldn't know what any of those words mean yet, but by the end of the quarter, have a working knowledge of all of them and why they are important.) There aren't any specific prerequisites for this course. We will build up to most of the more difficult concepts together in lecture. Some familiarity with proofs and abstract mathematical thinking is useful, but can be developed over the course of the quarter.

## Announcements & Dates

• There's a typo in Homework 4: the left-hand side of the last problem should read f(la/p) NOT f(a/p). This corrected version should match your notes from class. Again, f(z) = e^{2 \pi i z} - e^{-2 \pi i z}.
• Important Dates
• Wednesday, April 26: In-Class Exam 1
• Sunday, April 30: Drop deadline
• Friday, June 2: In-Class Exam 2
• Wednesday, June 14th: Final Projects Due (Noon Sharp)