He does indeed teach at NYU, or at least did at the time of his arrest (I can't find anything indicating he's teaching this semester, but I'll admit I didn't waste much time looking). However, I must ad the caveat that he is/was a teacher at Gallatin, which is NYU's goofy "make up your own major, wheee!" school. (It's also the school where undergrad applicants that aren't quite up to the admission standards of their chosen NYU school are given a chance to "prove themselves": Spend two years in Gallatin getting an Associates' degree in a "great books"-based program, and then we'll let you into the NYU school you really want. In short, the school for weirdos and kids that can't hack it in the mainstream.
Here's Bain's list of academic interests from Gallatin's web site. No conflicts of interest here, no sir!:
Bryonn Bain: critical legal studies (race, class and gender theory); African diaspora studies; black liberation movements; the politics of resistance; hip hop culture and politics; spoken word poetry
He sounds like he goes drinking with Jayson Blair.