(written from a Production point of view)
Cornell university was mentioned in the script of Star Trek: First Contact, though not in the final version of the movie.
In the script, after Ruby (an early version of Lily Sloane) confront Jean-Luc Picard snooping around in the missile complex, Picard claims to be an old friend of Zefram Cochrane, having met him back when Cochrane was doing "his undergraduate work at Cornell back in...". Picard later claims that some of the people he is with are also from Cornell. Ruby immediatly disbelieves the story in both instances.