Mathematics 571 (Fall 2019) Information

Description: The posted course announcement

Weekly assignments

Week 1

Week 1 Problem set 1 , Solution set 1
Brief notes on tensor products
Lenstra/Steverhagen notes on Chebotarev's density Theorem
Read the first few pages of the introduction to to Wiles paper on Fermat's Last Theorem

Week 2

Week 2 Problem set 2 , Solution set 2
Brief notes on resultants
Read Wyman's "What is a reciprocity law"
Serre's paper on patterns in the number of roots of an integer polynomial modulo primes.

Week 3

Week 3 Problem set 3 , Solution set 3

Week 4

Week 4 Problem set 4 , Solution set 4

Week 5

Week 5 Problem set 5 , Solution Set 5

Week 6

Week 6 Problem set 6 , Solution Set 6
Notes on Stirling's formula
Notes on Number Fields of small discriminant

Week 7

Week 7 Problem set 7 , Solution Set 7
Notes on Dedekind domains

Week 8

Week 8 Problem set 8 , Solution Set 8
Notes on ramification

Week 9

Week 9 Problem set 9 , Solution Set 9

Week 10

Week 10 Problem set 10 , Solution Set 10

Week 11

Week 11 Problem set 11 , Solution Set 11

Week 12

Week 12 Problem set 12 , Solution Set 12