My university owns anything you make while you are a student there. The example they used was something along the lines of: if you worked on it only in your dorm room and it had nothing to do with the university and received zero university funding, it was still theirs and you couldn't ever file a patent on it.
University of Kentucky claims rights to almost anything (even "drawings") students make while in any of "certain University units" (including the "Computing Center"):
http://www.adec.edu/intellectualproperty/uky.html
It's not clear whether a dorm room is one of those "certain University units" or not. I don't think so, but it'd depend on the phrasing of the dorm room mission statement.
Ooh, my new favorite is North Carolina A&T State University:
"We don't have any such policies in place at this time. The university has initiated a faculty interest group which meets regularly to discuss these issues and similiar DL opportunities. Some interesting things are coming out these discussions."