- Instructor: Aaron Pollack; apollack@ucsd.edu
- TA: Zehong Zhao zez045@ucsd.edu

- Pollack: Mondays and Wednesdays, 1:00-1:50pm, APM 5402
- Zhao: Mondays and Wednesdays, 3-4pm, HSS 5067

Recorded lectures can be found on Canvas

- Monday 3 April: Review of 100A, 100B and introduction to course
- Wednesday 5 April: Splitting fields, gcds of polynomials over various fields (15.6)
- Friday 7 April: The derivative and multiple roots (15.6); finite fields (15.7)
- Monday 10 April: Finite fields (15.7)
- Wednesday 12 April: Primitive elements (15.8)
- Friday 14 April: Galois theory
- Monday 17 April: Galois theory examples
- Wednesday 19 April: Symmetric functions (16.1)
- Friday 21 April: Exam 1
- Monday 24 April: Every splitting field is Galois; splitting fields are unique up to isomorphism (16.3)
- Wednesday 26 April: Fixed fields (16.5) Lecture notes
- Friday 28 April: Second main theorem of Galois theory; intermediate Galois extensions (16.7)
- Monday 1 May: Kummer theory Kummer theory notes
- Wednesday 3 May: more Kummer theory
- Friday 5 May: more Kummer theory; composite Galois extensions
- Monday 8 May: composite Galois extensions Notes on composite extensions; solvability by radicals (16.12)
- Wednesday 10 May: modules (14.1, 14.2)
- Friday 12 May: identities (14.3); integer matrices (14.2,14.4)
- Monday 15 May: bases of free modules (14.2)
- Wednesday 17 May: diagonalizing integer matrices (14.4)
- Friday 19 May: Exam 2
- Monday 22 May: Noetherian rings (14.6)
- Wednesday 24 May: Hilbert Basis Theorem (14.6); structure of abelian groups (14.7) Lecture notes
- Friday 26 May: structure of abelian groups (14.7); application to linear operators (14.8) Lecture notes
- Monday 29 May: No lecture (Memorial Day)
- Wednesday 31 May: Group representations (10.1)
- Friday 2 June: Irreducible representations (10.2); unitary representations (10.3)
- Monday 5 June: Characters; The main theorem of representation theory (10.4)
- Wednesday 7 June: Character tables (10.4); One dimensional representations (10.5); Permutation representations, the regular representation (10.6)
- Friday 9 June: Schur's lemma (10.7); proof of the orthogonality relations (10.8)

Homework is due by 10:00pm Pacific time on Gradescope on the days listed below

- Wednesday April 12 Homework 1
- Wednesday April 19 Homework 2
- Wednesday April 26 Homework 3
- Wednesday May 3 Homework 4
- Wednesday May 10 Homework 5
- Wednesday May 17 Homework 6
- Wednesday May 24 Homework 7
- Wednesday May 31 Homework 8
- Wednesday June 7 Homework 9

- Exam 1: Friday April 21st (in class)
- Practice problems Solutions
- Exam 1 Solutions
- Exam 2: Friday May 19th (in class)
- Practice problems Solutions
- Exam 2 Solutions
- Final Exam: Wednesday June 14th 11:30am-2:30pm
- Practice problems Solutions
- Final Exam Solutions