The summer tends to be a low-key time of the year at law schools. It’s been anything but for Vikram D. Amar.After University of Illinois College of Law named him one of three finalists in April for its vacant deanship, Amar waited until July 6 to be officially named dean.He started eight days ago. Classes begin today.“I’ve been almost overwhelmed by how nice and kind and devoted everybody is,” Amar said.“It’s a very professional group of administrators that I’m dealing with, and I …