Open problems/Research Suggestions

[Newtime]

I'm going to be doing research next semester on a topic of almost entirely my choice. I'd like to research anything related to geometric group theory, infinite group theory (specifically infinite geometric group theory), growth functions, etc. To give a bit of background; I'm a second year student currently enrolled in a first semester linear algebra course, and abstract algebra course. I will be in the second semester of abstract algebra next semester. I have a 6-7 week winter break during which time I will be doing a good deal of reading and probably come up with some inquiries/ideas but I wanted to see what you all thought...so...suggestions?

 

[Spartan Math]

Why not check out past REUs and see what they've done? I know there's been an REU at Cornell that has done stuff along the lines of what you want to do. Why not email someone well-known in the field and ask them what's of interest right now in those fields? There's a geometric group theorist at my university, you can check out his home page here http://www.math.msu.edu/~robertbe/" . He's a really nice guy and has done a lot with undergraduates, so I'm sure he'd definitely be willing to suggest some kind of research project on those topics if you give him your background and interests.

Best of luck with research!

 

[Spartan Math]

Also, here's a list of geometric group theorists around the world:

http://www.math.ucsb.edu/~jon.mccammond/geogrouptheory/people.html"

 

[Newtime]

Yet again, Physics Forums delivers. Thanks for the replies.