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Ph.D. Harvard University, Cambridge, Massachusetts, 1920
Walsh spent most of his career, from 1921 until his retirement in 1966, at Harvard University. His primary area of research was polynomial approximation. He taught a range of subjects including algebra, mechanics, differential equations, probability and number theory. After teaching at Harvard, he took an appointment at the University of Maryland. Walsh was a member of the U.S. National Academy of Sciences.