Why don't more top colleges / universities appear in Star Trek?

Question

Throughout Star Trek, the majority of scientists / officers / political figures all appear to have either graduated from Starfleet Academy, or from a graduate program such as those as the Daystrom Institute, or from the Vulcan Science Academy.

Why aren't more current top schools represented throughout the various Star Trek series (i.e. MIT, Harvard, Yale)? Some of these schools have been around for 300+ years already and so it seems fairly reasonable that they would continue to exist. In "All Good Things" (TNG series finale), we do see the University of Cambridge, where Data holds the Lucasian Professorship of Mathematics.

But why do we hear about so few others? Is there an in-universe explanation for this?

I understand that many characters have worked exclusively in Starfleet and that, accordingly, most of the officers would have graduated from Starfleet Academy, but it still seems reasonable that other schools should be represented.

Answer 1

No explanation required: plenty of colleges / universities are mentioned in Star Trek.

Here is a listing of all of the colleges, universities, and degree-offering institutes mentioned in Star Trek television series and films.

Real universities and colleges (i.e. ones that exist today on Earth):

• California Institute of Technology
• University of Cambridge
• Indiana State University
• Kent State University
• Princeton University
• Stanford University
• Trinity College Dublin
• University of California at Berkeley
• University of Manitoba
• University of Mississippi
• University of Nairobi
• University of Texas at Austin

Universities and institutes that only exist in the Star Trek universe:

• Denebian Academy of Science (Deneb IV)
• Aldebaran Music Academy
• Andorian Academy
• Banean Engineering Institute
• Central University of the Cardassian Union
• Daystrom Institute
• Regulus III Science Academy
• ShiKahr Academy
• Starfleet Academy
• Starfleet Medical Academy
• University of Alpha Centauri
• University of Bajor
• University of Betazed
• University of Copernicus
• University of Culat
• University of Hurkos
• University of Orion

For the exact appearances of each of these universities and institutes in the Star Trek universe, see Memory Alpha here.