In 1921, his family emigrated to the United States, settling in New York City, where his father played cello for the Vertchamps Quartet and the CBS Radio Orchestra, eventually becoming orchestra manager of the Metropolitan Opera.
He was discharged in 1945 and returned to Columbia, earning his doctorate in 1950 and published his dissertation as Liberty and Political Power in Toulouse, 1050–1230.
[1] Mundy also held positions at the School for Advanced Studies in the Social Sciences.
[1] Mundy was the author of the textbook Europe in the High Middle Ages, 1150–1230 that was known for its reliance on primary sources.
[1] He was a two-time recipient of the Guggenheim Fellowship in 1963 and 1977 and was elected a fellow of the American Academy of Arts and Sciences in 1981.