In The Pilot it is revealed the doctor has been lecturing at the university for 50 to perhaps 75 years. Is this the same university that River Song worked from ?
The Doctor is teaching at the (fictional) St Luke's University, Bristol. See the following screencap from about 12:45 through "The Pilot":
River Song, meanwhile, enrolled at the even more fictional Luna University:
[The Luna University, 5123]
(A professor is interviewing a prospective student.)
CANDY: So then, tell me. Why do you want to study archaeology?
RIVER: Well, to be perfectly honest, Professor, I'm looking for a good man.
-- Series 6 Episode 8, "Let's Kill Hitler"