Algebra for PhD students

Welcome to the website of the Algebra course for PhD students.


The schedule for the course can be found here.



Here are the notes from each lecture.

Lecture 1

Lecture 2

Lecture 3

Lecture 4

Lecture 5

Lecture 6

Lecture 7

Lecture 8

Lecture 9

Lecture 10


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 Ðukic Frobenius algebras and formal Frobenius manifolds
13/5 13:15-14:00 TBA TBA
13/5 14:15-15:00 TBA TBA
18/5 15:15-16:00 TBA TBA
18/5 16:15-17:00 TBA TBA
25/5 15:15-16:00 TBA TBA
25/5 16:15-17:00 TBA TBA
1/6 15:15-16:00 TBA TBA
1/6 15:15-16:00 TBA TBA
3/6 13:15-14:00 TBA TBA
3/6 14:15-15:00 TBA TBA


Preliminary course plan

Problem set 1 Hand in before March 27.

Problem set 2 Hand in before April 29.