After a sojourn to Cairo, Egypt, Coleman returned to the U.S. in March 1940, and worked throughout the 1940s with a variety of top groups including bands led by Benny Carter (1940), Teddy Wilson (1940-41), Andy Kirk (1941-42), Ellis Larkins (1943), Mary Lou Williams (1944), John Kirby (1945), Sy Oliver (1946-47), and Billy Kyle (1947-48).
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During this same time, Coleman participated in many recording sessions with top jazz stars such as Lester Young, Billie Holiday and Coleman Hawkins.
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He studied with Cincinnati trumpeter Theodore Carpenter, and played in an amateur band led by trombonist J.C. Higgenbotham.
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The company's name is an acronym of the first names of the company's three founders: Bill Coleman, Ed Scott and Alfred Chuang.
He often works with American musicians who are visiting the UK, and over the years has played with such luminaries as Art Farmer, Bobby Shew, Al Cohn, Tal Farlow, Slide Hampton, Warren Vache, Al Grey, Kenny Davern, Bill Berry, Al Casey, Howard Alden, Ruby Braff, Bill Coleman and Conte Candoli.
Greenberg took part in the «All-Star Trumpets session» (Paris Jazz Festival, 1949) with Miles Davis, Bill Coleman, Jimmy McPartland and Aime Barelli.
Early alumni of this company included Ed Esber who would later run Ashton-Tate, Bill Coleman who would found BEA Systems, Mitch Kapor founder of Lotus Software and the Electronic Frontier Foundation, Rich Melmon who would co-found Electronic Arts, Bruce Wallace author of Asteroids in Space, and Brad Templeton who would found early dot-com company ClariNET.