Sean McGonagill added 14 points and Halpern finished with eight. Sullivan, who also had six steals, became the 26th Brown player to score 1,000 career points (1,007) and tied the Bears' record for career games played with 115.
Brown (12-14, 6-6) trailed 31-20 at halftime but rallied to tie it 53-all on a McGonagill jumper with 4:19 left. Columbia (12-14, 4-8) then missed its next two shots and two free throws, as Brown went up by four, 57-53, but converted five shots from the charity stripe over the ensuing 2 minutes to knot it at 58.
The Bears called a timeout and Halpern came off the bench to sink the game-winner.
The Cavaliers bring in a top-10 class of four incoming freshmen, so the Class of 2017 will be a small one. Coach Tony Bennett is aiming high.
College basketball coaches across the country will hit the recruiting trail hard in July to target the Class of 2017's top prospects. Which players are the nation's top programs targeting?
Wendell Carter, the No. 2-ranked player in the 2017 class, skipped a basketball event for a school play. And he's seriously considering Harvard.