Cohen has not really followed up on his training as a composer save by making arrangements of already-existing music; he has instead focused on directing, organizing, and to a lesser extent, performing. With the Boston Camerata
, Cohen has made several dozen recordings (mostly of early music), some of which have earned prestigious awards. His 1989 disc of Tristan et Iseult won the grand Prix du Disque of the Académie Charles Cros in Paris. In 1990, Cohen founded a new group, the Camerata Meditarranea, to perform early music from the Mediterranean area. Cohen is the author of Reprise: the Extraordinary Revival of Early Music (Boston, 1985).