Iati, who entered the game shooting 51 percent (20 of 39) from deep, made just 1 of 6 shots from long range but logged his 15th straight game with a 3-pointer.
Albany (5-2) scored the game's first five points and led 9-2 following a jumper from Iati. Wagner (1-3) rallied, however, as Jonathon Williams converted a layup with 7:09 left in the first half to give the Seahawks their first lead of the game, 18-17.
But Albany used a 12-3 run over the final 4:30 to enter intermission with a 36-27 advantage.
Williams led Wagner with 26 points on 10 of 11 shooting and has been the Seahawks' leading scorer in each of their last four games.
Andrew White III will return to the Nebraska men's basketball team next season after removing his name from the NBA draft.
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.