I just got my scores for the October exam. I had 880, which was 97th percentile. I'm planning to apply to Stanford, MIT, Columbia, Cal Berkeley, Duke, UT Austin, UChicago, and Cambridge University. I would hope that my chances of not getting into any of these schools is pretty small, but I really have no idea. My grades are good (all A's), and I have research experience and ten graduate courses. My rec letters will also be good, but this is all coming from the University of Mississippi, which I think is a pretty obscure school. On the other hand, application reviewers might view being from Mississippi as a plus for diversity reasons. I would like to get some reactions from others who may have applied to top schools in the past about how realistic my chances are of getting at least one or two acceptance letters.