(covers information from several alternate timelines)
A curator was an individual who oversaw an exhibit.
In 2269, Spock responded to Lieutenant Commander Tom Markel's comments about the Lactrans' reluctance to allow them to escape by saying it was a natural reaction for the curators of a zoo. (TAS: "The Eye of the Beholder")
In 2404, Admiral Kathryn Janeway told the curator of the museum formerly known as the USS Voyager that if he wanted the ready room of Voyager to look more authentic, there should always be a steaming pot of coffee on the desk. (VOY: "Endgame")