A quick wiki gives:
Early when the Stony Brook Campus was located in Oyster Bay, the team was known as the Soundmen or Baymen. Throughout the 1960s when it moved to its present location, Stony Brook sport teams were known as the Stony Brook Patriots. In 1994 as Stony Brook anticipated a rise to Division I in the NCAA the nickname of the team was changed to its present one today, the Seawolves. The Seawolf was said to be a mythical creature from the Tlingit tribe which brought good luck to those able to see it.