Fisk was the last direct pupil of Andrés Segovia and is the holder of all reproduction rights to Segovia's music, given to him by Segovia's wife, Emilia. After attending Jamesville-Dewitt High School in Dewitt, New York, Fisk also studied interpretation under harpsichordists Ralph Kirkpatrick and Albert Fuller at Yale University, where he graduated summa cum laude in 1976. After graduation, he was asked to form the Guitar Department at the Yale School of Music. He was the winner of the International Guitar Competition in 1980.

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