Office Hours: 2844 East Hall, by drop in or appointment. If there is
demand for it, I will schedule a regular time.
Level: Graduate students who are very comfortable with abstract linear algebra (vector spaces, tensor products, symmetric and wedge product), who have some familiarity with groups and representation theory, and a high level of mathematical maturity. Towards the end of the term, I may start using the language of categories.
Student work expected: I will give problem sets every week, due
Mondays in class. I will also require students to take turns serving as
scribe for the course, meaning taking TeXed notes on what I have said
Scribing: I will require students to take turns signing up to record, in TeXed format, what I said in lecture. The due date for turning notes is one week after the lecture, sent to me by e-mail. I highly encourage you to be faster, as this will both be easier for you and more helpful for you fellow students. You may want to bring a laptop to class and try live TeXing (some useful tips here). I will edit these notes before posting them.
If you are scribing and are confused about some point from the lecture, please let me know so that I can work with you. Of course, this also applies if you are confused and are not scribing!
There are currently 13 students registered for a 40 lecture class, and I will scribe the first lecture. If all of you remain for the whole term, then you will each scribe 3 times. I expect a more likely estimate is that you will wind up scribing 4–5 times.
Please use this LaTeX template, which provides some convenient formatting and macros. I will add useful macros throughout the term as I think of them.
If you have never learned how to use LaTeX, then you really need to, as it is the standard tool of all mathematical publishing and will be crucial to anyone pursuing a career as a mathematician. Please alert me to your situation, and I will help you. A useful website for getting help with LaTeX difficulties is tex.stackexchange.com.
Note that these notes will be posted publicly online, in both TeX and PDF form, with your name attached to them, and that I may edit them to remove errors in my lectures or your understanding of them. You give me permission to do this, but otherwise retain copyright to your notes.