I got a call Thursday morning, and it ended up being an interview. It took me by surprise and didn't go too well - I don't think I'll be accepted - but here's the info I gleaned from the conversation:
NYU had a record number of applications. They received ~450, which is ~100 more than previous years. Because of that and a substantial decrease in the number of offers they can make, they've only accepted a couple of people who perfectly fit the department (open mentors, etc.). The rest of the offers will come from their shortlist, which they started interviewing yesterday. After the interviews and final deliberations - he said it could take a week or more - final decisions would be sent out.
Basically, to those who've already been accepted, congratulations! To those still waiting and wondering, don't worry! They're still looking at people and interviewing. Best of luck to everyone.