- National Academies (1984)
- American Academy of Arts and Sciences
- National Academies (1983)
- American Association for the Advancement of Science
- Guggenheim Fellow (1965)
Before arriving to begin his teaching career in the History Department of Indiana University in the fall of 1959, Professor Grant taught at the University of Maine and in the history of science program at Harvard University. At the beginning of his second year (fall of 1960), he became a member of a new department, History and Logic of Science (changed a few years later to History and Philosophy of Science).
Professor Grant was named a Distinguished Professor in 1983. He published more than ninety articles and twelve books, including Physical Science in the Middle Ages (1971), which has been translated into nine languages; Much Ado About Nothing: Theories of Space and Vacuum from the Middle Ages to the Scientific Revolution (1981); Planets, Stars, & Orbs: The Medieval Cosmos, 1200-1687 (1994); The Foundations of Modern Science in the Middle Ages (1996); God and Reason in the Middle Ages (2001); Science and Religion: From Aristotle to Copernicus 400 BC - AD 1550 (2004); and A History of Natural Philosophy From the Ancient World to the Nineteenth Century (2007).
Professor Grant received numerous honors and awards. He was a Guggenheim Fellow (1965-66) and was twice a Visiting Member of the Institute for Advanced Study, Princeton, New Jersey (1965-66; 1983-84). He was a member of the International Academy of the History of Science (Paris, 1969) and has been elected a Fellow of the American Academy of Arts and Sciences (1984) and Fellow of the Medieval Academy of America (1982). He was President of the History of Science Society (1985-86) and was awarded the George Sarton Medal in 1992, the most prestigious award given by the History of Science Society that "recognizes those whose entire careers have been devoted to the field and whose scholarship is exceptional." From 1990 to 2000, Professor Grant was a lecturer for the Phi Beta Kappa Associates Panel of Distinguished Speakers.
Professor Grant was twice chair of his department (1973-1979; 1987-1990) where he taught courses on medieval science and natural philosophy and science and religion. He also introduced and taught for twenty years a popular undergraduate course titled "The Occult in Western Civilization."
Grant passed away in 2020.