Welcome to the website of the Algebra course for PhD students.
Schedule
The schedule for the course can be found here.
Notes
Here are the notes from each lecture.
Examination
There will be two sets of problems during the course. Each problem set gives at most 100 points. To pass the course you must submit solutions to both problem sets, get at least 25 points for each set and a total of at least 90 points. I expect that submitted solutions are written in your own words and that you will be able to explain them in case I ask.
In addition to the problem sets each student must give a presentation on a topic in algebra chosen in agreement with me. Below is the scheduled times for presentations. Speakers will be added continuously.
| Date | Time | Speaker | Topic |
|---|---|---|---|
| 7/4 | 10:15-11:00 | Alireza Ataei | Lie algebras in partial differential equations |
| 7/4 | 11:15-12:00 | Darius Dramburg | Cohen-Macaulay rings |
| 22/4 | 13:15-14:00 | Benjamin Meco | Limits in categories |
| 22/4 | 14:15-15:00 | Tobias Mattsson | Fourier analysis on Lie groups |
| 28/4 | 10:15-11:00 | Lukas Nakamura | Matrix factorizations and knot invariants |
| 28/4 | 11:15-12:00 | Mateusz Stroinski | Weyl algebras and the Jacobian conjecture |
| 4/5 | 15:15-16:00 | Topias Tolonen | The Giry monad and stochastic processes as categories (with applications) |
| 4/5 | 16:15-17:00 | Seyed Alireza Tavakoli | Systems of linear PDEs and commutative algebra |
| 6/5 | 13:15-14:00 | Ruoyu Wang | The chromatic number of a ring |
| 6/5 | 14:15-15:00 | Milica Dukic | Frobenius algebras and formal Frobenius manifolds |
| 13/5 | 13:15-14:00 | No Talk | No Talk |
| 13/5 | 14:15-15:00 | No Talk | No Talk |
| 18/5 | 15:15-16:00 | Marcus Vaktnäs | Group representations and orthogonal polynomials |
| 18/5 | 16:15-17:00 | Anna Rodriguez Rasmussen | Hall algebras and quantum groups |
| 25/5 | 15:15-16:00 | Wei Xing | Quivers with potential and Jacobian algebras |
| 25/5 | 16:15-17:00 | Robert Moscrop | Quivers, mutation and supersymmetry |
| 1/6 | 15:15-16:00 | Elias Riedel Gårding | Cluster algebras and quivers from surfaces in physics |
| 1/6 | 16:15-17:00 | William Hedlund | A-infinity algebras |
| 2/6 | 13:15-14:00 | Mingyi Hou | Hömander's Lie bracket condition for hypoelliptic operators |
| 2/6 | 14:15-15:00 | Amandine Caut | Vector space model and its applications |
Handouts
Problem set 1 Hand in before March 27.
Problem set 2 Hand in before April 29.