University of Toronto
Name: Daniel Litt
Email: daniel.litt@utoronto.ca
Office Hours: 4pm Tuesdays, Huron 1018
Name: Matthew Bolan
| Component | Percentage |
|---|---|
| Assignments (best 4 of 5) | 40% |
| Term Test | 25% |
| Final Assessment | 35% |
There will be 5 assignments. The assignment with the lowest grade will be dropped. Late submissions receive a mark of zero unless an extension is granted by the instructor. Tentative due dates are listed in the lecture schedule below.
There will be one term test, which is 1.5 hours long, on February 13 in class.
The final assessment will be held during the final assessment period in April 2024, scheduled by the registrar.
| Week | Dates | Topics |
|---|---|---|
| Week 1 | Jan 6 - Jan 10 | Galois theory, field extensions |
| Week 2 | Jan 13 - Jan 17 | Algebraic closures, algebraic extensions, splitting fields, normal extensions, HW 1 due |
| Week 3 | Jan 20 - Jan 24 | Normal closures, separability, perfect fields, Frobenius, separable degree |
| Week 4 | Jan 27 - Jan 31 | Primitive element theorem, fundamental theorem of Galois theory, examples, HW 2 due |
| Week 5 | Feb 3 - Feb 7 | Finite fields, radical extensions, solvability by radicals |
| Week 6 | Feb 10 - Feb 14 | Unsolvability of the quintic, Term Test (Feb 13) |
| Week 7 | Feb 17 - Feb 21 | Reading week (no classes) |
| Week 8 | Feb 24 - Feb 28 | Noetherianity, Hilbert basis theorem, finite/finite type extensions, HW 3 due |
| Week 9 | Mar 3 - Mar 7 | Zariski’s lemma, Nullstellensatz, Spec and Zariski topology |
| Week 10 | Mar 10 - Mar 14 | Irreducible components, minimal primes, Nakayama lemma, HW 4 due |
| Week 11 | Mar 17 - Mar 21 | Semisimple modules and rings, Artin-Wedderburn |
| Week 12 | Mar 24 - Mar 28 | Representation theory of finite groups |
| Week 13 | Mar 31 - Apr 4 | More representation theory of finite groups, HW 5 due |