This post serves as the syllabus for Math 202C.
- Lecturer: Jonathan Novak, office hours immediately after lectures.
- Grader: Johann Birnick, office hours TBA.
- Topics: Symmetric groups, multilinear algebra, algebraic varieties.
- Textbook: Of course not. Useful references are this, this, and this.
- Evaluation: Grade assigned based on problem sets, no exam.
- Problem sets: GradeScope submission, typeset your work unless calligraphy is a hobby. If you’re using AI to solve the problems, please use it to LaTeX the solutions.
| DATE | TOPIC | Modality |
| March 30, Lecture 1 | Graphs and operators | In-person lecture |
| April 1, Lecture 2 | Cayley graphs | In-person lecture |
| April 3, Lecture 3 | Level operators on Cayley graphs | Asynchronous lecture post |
| April 6, Lecture 4 | Jucys-Murphy elements | In-person lecture |
| April 8, Lecture 5 | Polynomials and symmetric polynomials | In-person lecture |
| April 10, Lecture 6 | Elementary symmetric polynomials | In-person lecture |
| April 13, Lecture 7 | Elementary-to-monomial transition | Asynchronous lecture post |
| April 15, Lecture 8 | Fundamental theorem of symmetric polys | Asynchronous lecture post |
| April 17, Lecture 9 | None | Cancelled |
| April 20 | Review and preview, content and context | In-person lecture |
| April 22 | Farahat-Higman theorem | In-person lecture |
| April 24 | Simple branching | In-person lecture |
| April 27 | Centralizers and multiplicity-free branching | In-person lecture |
| April 29 | Multiplicity-free branching for symmetric groups | In-person lecture |
| May 1 | GT-basis and GT-algebra | In-person lecture |
| May 4 | ||
| May 6 | ||
| May 8 | ||
| May 11 | ||
| May 13 | ||
| May 15 | ||
| May 18 | ||
| May 20 | ||
| May 22 | ||
| May 27 | ||
| May 29 | ||
| June 1 | ||
| June 3 | ||
| June 5 |
