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.
The LSU TIgers didn't make much hay with Ben Simmons and now must regroup and rebuild around Antonio Blakeney and Craig VIctor.
Oregon could lose multiple players to the NBA next spring, so the Ducks are preparing by pursuing plenty of scorers and an elite frontcourt prospect.
Most of the first-round picks in the 2017 NBA draft haven't played a minute in a college game. Our recruiting experts identify the names to know.