Iati (20 points) was 6 of 14 from the field with all six makes coming from deep. Peter Hooley chipped in 11 points for Albany (8-2). Iati, Hooley, and Black accounted for 13 Albany free throws.
Tied at 11, Blake Metcalf's jumper sparked a 15-0 run by Albany. Iati's 3-pointer capped the run.
Colgate (3-7) outshot Albany 42 percent (25 of 60) to 41 percent (22 of 54) and outrebounded the Great Danes 39-34, but made just 9 of 14 free throw attempts.
Albany, which made 15 of 20 free throws, hit six over the final 51 seconds while holding Colgate to just two field goals.
Murphy Burnatowski was Colgate's lone player in double-figures with 13 points.
We have changes at the top of the draft and a shakeup in the lottery, with teams starting to make their final decisions. Get the latest in Chad Ford's Mock Draft 9.0.
Duke freshman point guard Derryck Thornton Jr. is transferring to USC, his father announced on Friday to Scout.com.
NBA draft prospect Kris Dunn is excited to see Game 7 between the Cavaliers and the Warriors, he breaks down the constant comparison between LeBron James and Steph Curry and looks forward to playing with or against some of these guys next season.