"run by" is a common phrase used to mean the person or persons who make decisions. Normally the manager, or owner. You could say "That pizza place is run by so

"run by" is a common phrase used to mean the person or persons who make decisions. Normally the manager, or owner. You could say "That pizza place is run by someone from my neighborhood." In the context of the school it would mean the administration, the school board, and if its a private school the owners or trustees.