The calendar is subject to change over the course of the semester.
| Date | Topic | Scribe | Comments |
|---|---|---|---|
| Tue 15 Aug | Basics of group theory | Asilata | |
| Thu 17 Aug | Cyclic and symmetric groups, intro to group actions | Sergio | |
| Tue 22 Aug | Group actions, cosets, orbits, normal subgroups | Joseph | |
| Thu 24 Aug | Stabilizers, generators and relations, free groups | Komal | Homework 1 due |
| Tue 29 Aug | Properties of quotient groups, isomorphism theorems | Jack | |
| Thu 31 Aug | Sylow theorems | Freddy | Homework 2 due |
| Tue 5 Sep | Sylow theorems | Nolan | |
| Thu 7 Sep | Semidirect products | Terrin | Homework 3 due |
| Tue 12 Sep | Cancelled due to Hurricane Irma | ||
| Thu 14 Sep | Classification of groups of small order | Asilata | Homework 4 due |
| Tue 19 Sep | Solvability and Jordan-Hölder theorem | Sophia | |
| Thu 21 Sep | Midterm Exam 1 | ||
| Tue 26 Sep | Basics of ring theory | Joseph | |
| Thu 28 Sep | Ideals, quotient rings, isomorphism theorems | Amelia | Homework 5 due |
| Tue 3 Oct | Domains, field of fractions, polynomial rings | Kenneth | |
| Thu 5 Oct | More on polynomial rings and PIDs | Sergio | Homework 6 due |
| Tue 10 Oct | UFDs, Euclidean domains | Freddy | |
| Thu 12 Oct | UFDs, Euclidean domains | Terrin | Homework 7 due |
| Tue 17 Oct | Field automorphisms and constructible numbers | Sophia | |
| Thu 19 Oct | Constructible numbers | Jack | |
| Tue 24 Oct | Field extensions and splitting fields | Nolan | |
| Thu 26 Oct | Splitting fields, multiple roots, perfect fields | Komal | Homework 8 due |
| Tue 31 Oct | The Galois pairing | Kenneth | |
| Thu 2 Nov | Fundamental theorem of Galois theory | Amelia | Homework 9 due, Midterm Exam 2 released |
| Tue 7 Nov | Fundamental theorem of Galois theory | Joseph, Sergio | |
| Thu 9 Nov | Modules over a ring | Midterm Exam 2 due | |
| Tue 14 Nov | Free modules, direct sums | Freddy, Terrin | |
| Thu 16 Nov | Finitely generated modules over a PID | Homework 10 due | |
| Tue 21 Nov | Thanksgiving break | ||
| Thu 23 Nov | Thanksgiving break | ||
| Tue 28 Nov | Finitely generated modules over a PID | ||
| Thu 30 Nov | Applications to linear algebra | ||
| Tue 5 Dec | |||
| Thu 7 Dec | Final Exam |