A pioneer in the use of the cello as an improvisational jazz/new music instrument, Murray is also well-known as a composer, producer and curator, and has worked with a wide variety of musicians and groups, including Hannibal Peterson, the Henry Threadgill Sextet, Leroy Jenikns, James Brown, Muhal Richard Abrams, Larry Young, Archie Shepp, Oscar Brown Jr. and Craig Harris. She is involved in an ongoing collaboration with Fred Hopkins, which results include their Canadian Victo Records CD Firestorm, as well as a new release, Stringology. Murray is also featured on over thirty recordings by other musicians including the likes of Threadgill, Peterson, Abrams and Jenkins. She directs seven ensembles in addition to the Diedre Murray/Fred Hopkins Trio and Quartet, and currently curates The Rooftop Concert Series at the YMCA at 53rd, The Hearings Music Festival and the Firewall Total Arts Series at P.S. 122 in New York City.