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?