This is the second semester of the intro sequence in graduate algebra. The main topics are categories, homological algebra, and Galois theory.
Classes are on Monday, Wednesday, and Friday, 11:30 - 12:25pm, in Bolz 311.
Office hours (MW 602): M 2-3, W 10-11, or by appointment.
There is no single text for the course. We will draw on Lang's Algebra, Jacobson's Basic Algebra II, and Artin's Galois Theory, among other sources.
Here is Cayley's 1848 paper "On the theory of elimination": PDF
And here is Grothendieck's 1957 Tohoku paper: Part 1 and Part 2
You may find Ravi Vakil's notes on spectral sequeneces helpful, and John McCleary's history interesting.
Grades will be based on several homework assignments (total of 50%) a midterm exam (20%) and a final (30%).
| HW1: PDF, due 1/18. |
| HW2: PDF, due 1/25. |
| HW3: PDF, due 2/1. |
| HW4: PDF, due 2/8. |
| HW5: PDF, due 2/18. |
| HW6: PDF, due 2/22. |
| HW7: PDF, due 3/4. |
| HW8: PDF, due 3/29. |
| HW9: PDF, due 4/5. |
| HW10: PDF, due 4/15. |
| HW11: PDF, due 4/22. |
Midterm: Wednesday, March 6 (in class)
Final: Friday, April 26 (12:00pm - 1:45pm, in Bolz 311)