Gill came off the bench to score a career-high 17 points, Boehm had 16 points and 11 rebounds and John Golden chipped in 12 for Dartmouth (13-14, 6-7), which has its most wins since the 1998-99 season when the Big Green had 14.
Brown (13-17, 4-9) rolled to a 35-22 halftime lead and was up 50-26 with 13:58 left in the game. Dartmouth's Tommy Carpenter slipped in for a layup to start a 21-7 run and close to 57-47 at the 7:53 mark. Brown still led 65-58 with 3:18. Boehm nailed a trey that led to a 14-4 run for the win.
Rafael Maia led Brown with 19 points.