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Gibbs joined the faculty at Bowdoin College in Maine, Arizona State University and College of William and Mary (mathematics) in Virginia before moving to Pittsburgh, joining Carnegie Mellon University as professor of computer science and becoming the first director of the educational program at the Software Engineering Institute (1987–97). Since then he was chief information officer at Guilford College in Greensboro and University of Connecticut, jointly serving as professor of Operations and Information management. He eventually worked for Ball State University as chair of computer science (2000–02).