At my friends work they use live traps, once they trap them they give them a little spritz of spray paint on their back to mark them. They track whether the mice are repeat offenders
Amazingly enough, most of them never come back.
I think the origin of the marking was to prove to the fans of less humane measures that the live trap method actually works. Might be worth trying this, so you can prove to management that you're actually helping with the mouse problem, otherwise they might want to put the glue traps back
(actually the "snap" traps, although they still kill, are way more humane! - might be worth a suggestion if they insist on deadly force)