Boatright drained 6-of-10 shots while Omar Calhoun provided 15 points and six rebounds for the Huskies (17-6, 7-4 Big East).
Syracuse, which is leaving the Big East after this season, holds a 37-33 advantage over UConn in 70 conference games, but fell for the third straight time on the road Wednesday.
Michael Carter-Williams led the Orange (20-4, 8-3) with 15 points as Syracuse extended its longest road skid since 2009.
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