The New York Times has Obama's bracket:

East – North Carolina.
Midwest – Kansas.
South – Pittsburgh.
West – U.C.L.A.
Championship game: North Carolina over U.C.L.A.

More here. (UPDATE: Politco's got the whole shebang.) Great minds think alike, except for that Southern bracket, where he's clearly just pandering to Pennsylvanians. Shame on you, Barack Obama...