interesting subjects in math(s)?

looking for notable things to read about, graduate levelish, pure math preferred.

http://en.wikipedia.org/wiki/Principia_Mathematica

Schrödinger equation

godels incompleteness
tarski's indefinability
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v
Theorems

Schrödinger equation = lol

He said graduate level...

statistics

end of thread

eat some model theory, its delicious.

finite math
and logic math

lol none of you study grad level math.

OP, if you are serious then ask your grad school advisor.  read some journals in your field.  if you're not in grad school then apply.

algebraic topology, lots of donuts

space spanning

>>10
ford taurus

>>10
Klein bottle > Möbius strip > donuts

>>13
mmmmm, rich, creamy Riemann surface.
(of course, neither klein bottles nor moebius strips are orientable.)

see also: http://en.wikipedia.org/wiki/Hilbert%27s_problems

differential geometry is always cool

Graham's number is pretty awesome (look up wikipedia).  The theory of which it is the upper bound might actually be graduate level.

You might be able to find something at the bookchan. Most notably this thread.

http://www.anonib.com/bookchan/index.php?t=419
and this one
http://www.anonib.com/bookchan/index.php?t=434

Instructions for how to use the bookchan can be found here.
http://www.anonib.com/bookchan/index.php?t=1

The bookchan is pretty active, so feel free to make requests or contribute. Just make sure that any requests go into the request sub-board.

I can't really offer any specific advice without knowing just how much you already know.

that bookchan looks sexy.

thanks for all helps herein, and in case anyone has further suggestions/comments, i'm in my third year at uni, got real/complex analysis, number theory, linear and abstract algebra covered, as well as some graph theory, topology, probability.

i recently got http://www.demonoid.com/files/details/477956/4633242/
these, but haven't really looked through any yet.

physics is also rather interesting, but i like to listen to nice people talk about relativity and quantum theory much more than actually do anything.

>>18
That torrent looks sweet, I don't have a demonoid account though.

>>19
I uploaded it here.
http://www.no-sry.us/