('US, somewhat old-fashioned') The quarterback of the football team is a real 'big man on campus'. [=he is important and well-known]
She prefers living 'off campus'. [=she prefers not living in the dormitories/housing provided by the school]
How do you like living 'on campus'? [=in the dormitories/housing provided by the school]
(..) of being here at Princeton. Hansen is running the department now. So he keeps reminding us, and reminding us. Yeah. John won't come near the campus, though. I think he's ashamed. Hey. Hey. Want this? So, Alicia, how are you holding up? The delusions have passed. (..)2001 A Beautiful Mind