In hearkening back to the Monastic origins of GLoG wizards, I have created a generator which will give to you a name for your wizardly institution. Some results won't make complete sense unless the parts in parenthesis are included.
The intention of this generator is for it to be used to develop new GloG wizards around the name you end up with. To do so, I'd suggest coming up with one domain which is somehow tied to the name, and one domain which is loosely or not at all tied to the name to develop your school's traditions, weaknesses, and spells off of.
Also read This Post if you haven't already.