Jackson, who was 5 of 11 from the field, scored eight of his points at the free throw line for the Seawolves (4-1), who were 27 of 31 from the stripe.
Forward Tommy Brenton pulled down 14 rebounds for Stony Brook, which outrebounded Canisius (3-1) 47-32 and turned 19 offensive boards to 21 second-chance points.
Stony Brook led 36-30 at halftime and pushed that lead to 54-43 behind a Dave Coley jumper with 11:18 left to play.
Coley finished with 14 points for the Seawolves, who led throughout despite shooting 39.7 percent (25 of 63) from the field.
Mike Brey is looking at former Notre Dame players to fill two assistant jobs that have opened up with the departures of Martin Ingelsby and Anthony Solomon.
Purdue's 2016-17 prospects got a jolt Wednesday when forward Caleb Swanigan announced he will return for his sophomore season.
Clemson's Jaron Blossomgame says he is withdrawing from the NBA draft and returning to school for a final season.