Abercrombie is 1967 graduate of the Berklee College of Music in Boston. He was presented with a Berklee College of Music Distinguished Alumni Award in 1998. Abercrombie's first notable recordings were two albums with the jazz-rock band Dreams in 1970.
The ongoing groups he has led or co-led include: *Gateway, with bassist Dave Holland and drummer Jack DeJohnette (mid-1970s, and again mid-1990s) *duo with guitarist Ralph Towner (starting mid-1970s, occasionally through mid-1990s) *quartet with pianist Richie Beirach, bassist George Mraz, and drummer Peter Donald (late 1970s to early 1980s) *trio with bassist Marc Johnson and drummer Peter Erskine (mid-1980s to early 1990s) *trio with organist Dan Wall and drummer Adam Nussbaum (through 1990s) *quartet with violinist Mark Feldman, bassist Marc Johnson, and drummer Joey Baron (starting 2000)
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