I have been corresponding with a prospective advisor at my first-choice school and she has responded very positively and has told me that I am one of the stronger applicants. However she also mentioned that she is not on the admissions committee and that while she is able to make recommendations, seemed to insinuate that she does not have the final say in who gets admitted. I would think, since graduate study is so highly specialized, that if a professor made it clear the students he or she wants admitted, the admissions committee would have to go along with it. Is this incorrect? How much pull do professors really have?