Miller also had four blocked shots and three steals for the Big Red (4-5).
Cornell jumped out to an 18-7 lead with Johnathan Gray hitting three of his team’s four 3-pointers in the spurt. Those were the only shots Gray made in 13 field-goal attempts, 10 from beyond the arc.
The Raiders (3-5) got within a point, 37-36, with 2:16 to go, but the Big Red led 39-36 at halftime.
After Colgate pulled ahead briefly at 42-41, Errick Peck made a layup to spark a 13-5 run and Cornell eventually rebuilt a 13-point lead.
Peck finished with 14 points.
Murphy Burnatowski led the Raiders with 24 points, matching his season high, and Brandon James added 11.
Cornell’s win was the 1,200th in program history against 1,313 losses in 114 seasons.