He studied classical piano as a young man, other than switched to jazz which he studied at the Berklee College of Music from 1955 to 1958. Approximately this occasion Jaki Byard plus Aromatic plant Pomeroy trained him privately. He went on to work in Pomeroy's group. Afterward on he worked by means of greats similar to Chet Baker plus Stan Getz. Around this occasion, Galper recorded recorded more than a few times by means of guitarist John Scofield intended for the Enja label, perhaps the majority notably on the 1980 album Ivory Forest.
Throughout the eighties he was a associate of Phil Woods' Quintet which he joined in 1981. He counts Sprout Powell as a major power.