Seton Hall (4-1), meeting Maine (0-4) for the first time, improved its record against America East Conference opponents to 13-1. The Big East team hasn't lost a game to an America East squad since 1963.
Cosby, a sophomore guard, scored seven points and handed out an assist during a decisive 11-1 run in the second half.
Seton Hall led 46-33 when Cosby started the run with a layup. He later hit a 3-pointer and a layup in the burst and was credited with the assist on Brian Oliver's jumper that pushed the Pirates' advantage to 55-34 with 10:22 left.
Cosby, who scored 12 points in the second half, finished with four 3-pointers.
Slowed by a preseason injury, Cosby picked up his game at an opportune time for Seton Hall, which learned that 6-foot-9 junior forward Patrik Auda could be out for the season after breaking his right foot in the first half. Auda ended with eight points and five rebounds in his 14 minutes of action.
''We would likely redshirt him if he's going to be out four months,'' Seton Hall coach Kevin Willard said of Auda.
In the first half, Kyle Smyth's four-point play with 9:54 left ignited a 13-6 burst to end the first half, handing the Hall a 31-20 lead at the break. Smyth was fouled as he drained a 3-pointer from the right corner and followed by making the bonus.
Maine received most of its offense in the first 20 minutes from guard Justin Edwards, who had 14 of his team's 20 points. Edwards ended with 18 points for the Black Bears.
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