That's why you become the Archmage afterwards.
The College of Winterhold needs more competent leadership.
. . .The Archmage wasn't really that bad a guy even if he also wasn't "teh ultimate chessmaster" like Dumbledore, though. He made a horrible mistake as a young mage that scarred him for life, and he tolerated a Thalmor hanging around due to the potential political complications of kicking the Nazi idiot out. That's it, that's his two mistakes. Other than that, the College is just a bunch of geeks who share each others' toys and try not to get picked on by the jocks down the hill. And keep accidentally killing themselves during experiments.