- Instructor: Aaron Pollack; apollack@ucsd.edu
- TA: Hargun Bhatia; hpbhatia@ucsd.edu

- Pollack: Mondays,Wednesdays 1:25-2:25 pm in APM 7349
- Bhatia: Thursdays 3-5pm in HSS 3073

Recorded lectures can be found on Canvas

- Monday 1 April: Introduction to course
- Wednesday 3 April: Review of 100A, 100B; vector spaces
- Friday 5 April: Vector spaces and linear algebra
- Monday 8 April: Vector spaces and linear algebra
- Wednesday 10 April: the matrix of a linear transformation; Rank-Nullity theorem
- Friday 12 April: Change of basis; algebraic elements of field extensions
- Monday 15 April: algebraic extensions of fields; the degree of an extension
- Wednesday 17 April: degree of extension; ruler and compass contsruction
- Friday 19 April: ruler and compass constructions
- Monday 22 April: adjoining roots; the derivative
- Wednesday 24 April: the derivative
- Friday 26 April: finite fields
- Monday 29 April: primitive elements
- Wednesday 1 May: Exam 1
- Friday 3 May: symmetric functions
- Monday 6 May: the discriminant; splitting fields, the splitting theorem
- Wednesday 8 May: uniqueness of splitting fields up to isomorphism
- Friday 10 May: fixed fields; the fixed field theorem
- Monday 13 May: Galois extensions
- Wednesday 15 May: The main theorem of Galois theory
- Friday 17 May: Galois theory of cubic polynomials; roots of unity
- Monday 20 May: Group representations: Definitions
- Wednesday 22 May: Irreducible representations
- Friday 24 May: Unitary Representations
- Monday 27 May: No lecture (Memorial Day)
- Wednesday 29 May: No lecture (Exam 2)
- Friday 31 May: Characters; One-dimensional representations
- Monday 3 June: One-dimensional representations; Schur's lemma
- Wednesday 5 June: Proof of orthogonality relations
- Friday 7 June: Modern algebraic number theory

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

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

- Exam 1: Wednesday May 1 (in class)
- Practice problems , Practice problem solutions
- Exam 1 , Exam 1 solutions
- Exam 2: Wednesday May 29 (remote)
- Practice problems , Practice problem solutions
- Exam 2 , Exam 2 solutions
- Final Exam: Wednesday June 12th 11:30am-2:30pm
- Practice problems , Practice problem solutions
- Final Exam, Final Exam solutions