Week 1: quadratic reciprocity
Clark: Quadratic Reciprocity I
Stein: (Chapter 4) Elementary Number Theory: Primes, Congruences, and Secrets good problems: 4.3, 4.4, 4.6

HW1

Week 2: norms and traces
Norms and Traces: Ash (Chapter 2.1). Ogglier (Chapter 1). Stein (Chapter 5) ANT
Gauss sums: Ireland-Rosen (Chapter 6)

HW2

Week 3: integral closure and discriminant
Ash 1.1, 2.2, 2.3. Ogglier 1.1, 3.1. Stein 5.1, 5.2.

HW3

Week 4: Unique factorization and ideal class group
Ogglier 2.2, 4.1. Milne 48-54.

HW4

Week 6: Minkowski theory and finiteness of the class group
Stein 10.3, 10.4, 11.1
Conrad - class group computations

HW5

Week 8: Ramification
Marcus 3,4; Milne 4.1, 4.3; Stein 13, Ogglier 3.2, 3.3
HW6
Project topics