Colgate led 36-31 with 18:49 remaining. Columbia answered with Jeff Coby's bucket, and Kyle Castlin added eight straight points to give the Lions a 41-39 lead with 15:25 left, and they led the rest of the way.
Cory Osetkowski scored 14 points, Steve Frankoski had 13 points and Castlin finished with 12 for Columbia (7-4). Cohen also had three blocks and grabbed eight boards for the Lions, who outrebounded the Raiders 33-16.
Ethan Jacobs scored 26 points on 9-of-18 shooting to lead Colgate (3-10). Matt McMullen added 12 points, and Austin Tillotson and Luke Roh had 10 points apiece for the Raiders, who have lost three-straight.