These two leaks are sprouting around previously "repaired" dry wall. That is, in past attempts to fix this, maintenance has replaced squares of drywall, and the water is simply escaping around those squares now.
[Edit 12/7/11: Forward Management Pittsburgh has finally sent a maintenance guy over to "fix" the leak. He claims to have replaced some of the pipes of the upstairs' neighbor, and that his bathroom floor is all wet. Who knows. It has taken them over a month to send someone over here.]