Courses: Fall 2012
Math beyond the curriculum
If you are at SIUC, like math, and want to do something interesting
with it, beyond the regular curriculum, I have two suggestions:
Join the math club
Talk to me or one of your professors about presenting at the
IL-MO Undergraduate Math Research Conference, (which will be held
at SIUC on Nov 10 of this year).
My research page
The egut project page
Automorphic representations and L functions for the general linear group with Dorian Goldfeld.
A website with errata and
corrections for our book. Please let me know if you find any other
General Math Resources
MathSciNet Via SIUC Proxy
Springer Encyclopaedia of Mathematics
Manifold Atlas Project
Atlas of Lie Groups and Representations
Some important (in my area) online books
AMS Books Online(Including the Boulder and Corvallis Proceedings)
Gelbart's Book on the Trace Formula is on the arXiv
Casselman's website(If you're working, or planning to work, in automorphic forms or representations of p-adic groups, you will eventually come across a reference to the unpublished Casselman notes. They are available here, along with lots of other good stuff.)
Kudla's website, where you can find his notes on the local theta correspondence.
Everything Langlands ever published, including Jacquet-Langlands and his book on Eisenstein series, has been put on the web by IAS.
Everything Arthur every published has been put on the web by the Clay Math Institute.
J.S.Milne has put several of his books online. He also has lecture notes on a wide variety of topics and lots of other good stuff.
Cremona, Algorithms for Modular Elliptic Curves
Robert Ash of the University of Illinois has a number of books online. I'm using his
Complex Variables book right now.
A free real analysis textbook which I have not had occasion to check out yet.
Other Mathematicians in my area with good web pages (This list is not intended to be exhaustive.)
Some handy tools for dealing with TeX on the web
Some other software tools I find useful
LiE Lie group calculations.
TeXShop TeX on the Mac
TeXnicCenter TeX on Windows
Eclipse Java Programming
Zotero Citation management.
Dropbox Online backup, plus syncing across all the machines you use.
Seminar and Colloquium Notes
I sometimes take notes on my computer. When I think they might not be completely worthless to others, I will post them here. One should take everything with a grain of
salt. There are sure to be lots of errors. Attribute them all to me and not to the speakers. Feel free to email corrections, but keep in mind that I may not understand them. (Just because I was at the talk and took notes doesn't mean I followed.)
(Algebra and) Representation Theory Seminar
Spring 11Week 1: Chris Jantzen on Tempered Representations (see also MDC talk below),
Spring 11Week 1: Wesley Calvert Week 2: Wesley Calvert
Note that Dr. Calvert's lectures continue a series which I missed the beginning of. Therefore, my comprehension level was a bit lower than usual, and one should take everything in the notes with an extra large helping of salt.
Spring 11Week 1: Chris Jantzen on Tempered Representations (See also ARTS talk above)