Georgia State led by as many as 13 points in the second half, but Kahlil Felder scored Oakland's final eight points to make it a one-possession game late.
Felder made three consecutive layups for Oakland, the last to bring them within 81-76 with 1:04 left. Georgia State wound down the clock, but Kevin Ware missed a layup and Felder made two free throws on the other end to get within 81-78.
Hunter made an easy layup with 19 seconds left, Felder missed a layup and Georgia State ran out the clock.
Markus Crider added 17, Ware 15 and Ryan Harrow 14 for Georgia State (4-2).
Max Hooper led Oakland (1-5) with 21 points and Felder had 18.