Course notes

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Revision as of 09:55, 4 October 2011 by Anton (talk | contribs)

This page collects math notes I've taken, mostly course notes. I've also written some TeXnical notes and scripts.

I provide the source for most of my notes for a couple of reasons.

  1. It feels good for some reason.
  2. If you're curious about how to typeset something you've seen in these notes, you can download the source and have a look.
  3. Somebody might download all my notes, correct the errors and unclear presentation, and then send them back to me. It's not likely, but it could happen.
  4. If a bomb drops on my house and I lose all my stuff, maybe somebody can give me a copy of my notes.
  5. The source is much faster to download an compile if you're on a slow connection.

Since I've learned about it, I've started using Subversion (svn) for everything. If you actually make corrections in any of the notes, I recommend doing it through svn. If you don't yet know how to use svn, I wrote an svn crash course just for you.

My notes What? Who? When? Additional Resources
pdfsvntgz Homological Algebra Peter Teichner Spring 2008
pdfsvntgz Deformation Theory Workshop, MSRI Max LieblichMartin OlssonBrian Osserman Ravi Vakil Summer 2007 Other peoples' notes can be found here and here.
pdfsvntgz Math 274, Stacks Martin Olsson Spring 2007
pdftex Math 215A, Algebraic Topology Peter Teichner Fall 2006
pdftgz Math 274, Commutative Rings Tsit Yuen Lam Fall 2006
pdftgz Math 261A, Lie Groups and Lie Algebras Nicolai Reshetikhin
Vera Serganova
Richard Borcherds
Spring 2006
pdftgz Math 242, Symplectic Geometry Alan Wienstein Fall 2005
Math 252, Representation Theory Vera Serganova Fall 2005 Vera Serganova's Representation Theorey notes

William Crawley-Boevey's lectures on representations of quivers

pdf tgz Math 256B, Algebraic Geometry Paul Vojta Spring 2005 Paul Vojta's handouts and solutions

Marco Lo Giudice's notes

William Stein's notes and solutions

Richard Borcherds' selected solutions

Bryden Cias' notes and solutions

Jinhyun Park's solutions

Mark Haiman's Math 256AB page

I gave a couple of talks on toric varieties in a student seminar. If my notes make sense to you, you're welcome to use them.

My notes (pdf, tgz), made from Tony's notes, of Yonathan's prelim workshop on analysis.

One of my favorite facts about right adjoint functors is that they commute with limits.

Sestina's and primes, an easy problem Richard Dore and I worked out our first year in grad school, which I wrote up for some reason.

I talked about the Salamander Lemma in MCF. My reference was George Bergman's preprint, On diagram-chasing in double complexes.