Jayden Cook returned a blocked punt for a 28-yard touchdown early in the third quarter for a 26-0 lead. Fields had passing TDs of 21 and 67 yards in the first half.
Fields was 10 of 15 for 149 yards for Stony Brook (5-6, 4-4).
Stony Brook retains possession of the Golden Apple after the 23rd meeting in the series.
Joey Carino and Jeff Undercuffler combined to go 16 for 25 for 174 yards for Albany (3-8, 2-6). Karl Mofor rushed for 64 yards and two scores.
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