Barbour scored 15 of his 19 points in the second half and made 10 of 10 from the free-throw line overall, including eight in the second half.
Columbia led 27-19 with 3:39 to go until halftime, but Marist scored the next eight points on 3-pointers by Isaiah Morton and Price and a jumper by Lewis. Neither team led by more than four the rest of the way until Curry's final free throw.
Mark Cisco added 12 points and Grant Mullins 11 for Columbia.
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