Student from hell!?

I teach college. I have one particular student that always tries to undermine me, correct me, point out something like "Yes, but isn't it the case that......" basically it makes me feel defensive! What can I do? This is college, so I feel I cannot chastize him like I would a high schooler by saying, "Are you the teacher?" Plus he is way out of his league; most of the things he says are completely irrelevant or not even correct. I teach Latin.