As Dean of the Graduate School, Chapman implemented a graduate student tuition benefit, improved the process of program reviews, advanced the training of international teaching assistants, and, in 2004, created a graduate student health insurance benefit.
A native of Vancouver Island, Canada, Chapman attended the University of British Columbia where he earned his B.Sc. (1964) and M.Sc. (1966) in physics. From 1966 to 1972, he taught at Canisus College, Republic of Zambia, and at the University of Zambia. He received his Ph.D. in geophysics from the University of Michigan in 1976 and in the same year joined the University of Utah faculty. Currently, he maintains dual roles as Professor of Geology and Geophysics and Dean of The Graduate School. In 2001, Chapman was named to the national board of the Council of Graduate Schools, and in 2002, he was elected president of the Western Association of Graduate Schools.