is a Canadian/American composer of contemporary classical music and pianist living in New York, New York. Hoffman's music draws much of its richness and variety from such diverse sources as Eastern European folk musics, Chinese traditional music and American bebop, yet these sources seem to be seamlessly woven into a unique musical language that is pervaded by a sense of lyricism and rhythmic vitality. 
Hoffman is a son of conductor Irwin Hoffman and violinist Esther Glazer. Hoffman earned his bachelor's degree from the University of Wales and a masters and doctorate from the Juilliard School. His teachers included Elliott Carter, Milton Babbitt, Vincent Persichetti, Alun Hoddinott, Arnold Whittall and Easley Blackwood.

For 36 years, he was a professor of composition at the University of Cincinnati – College-Conservatory of Music and the founder/director of the Music X festival of new music (1996–2011) which was held for the first thirteen years in Cincinnati and for the last three years at the Hindemith Music Centre in Blonay, Switzerland. He was president of Chamber Music Cincinnati (2008–2011), and has directed an annual summer course for composer/performers at the UPBEAT International Music School in Milna, Croatia since 2004 

He has been the recipient of many honors from organizations such as the American Academy of Arts and Letters, the American Academy of Arts and Letters, Columbia University, BMI, ASCAP, and the American Music Center. Hoffman is a 2017 John Simon Guggenheim Memorial Foundation fellow.

Hoffman's music is published by Onibatan Music, his own publishing house Joel Hoffman official website, RAI Com, ECS Publishing (EC Schirmer), G. Schirmer and Vanderbilt Music Company (Lyra Music Co.).