Several of Jonathan's compositions were published by G. Schirmer and MMB, and recorded on the Advance, Orion, Opus One, Grenadilla, and Leonarda labels. His music was performed at the ISCM's World Music Days: Musica Pro Musica for orchestra (1992, Poland), Music for Piano, Number 5 (1985, Netherlands), and Renascence for clarinet and electronics (1980, Israel). Jonathan represented the United States at the International Rostrum of Composers in Paris, where his music was selected for worldwide broadcasts: Music for Piano, Number 5 (in 1984) and Atlanta Licks (in 1992). His music has been played in twenty-three countries by London Philharmonic, Warsaw Philharmonic, Cincinnati Symphony, Seattle Symphony, American Composers Orchestra, Seoul Philharmonic, Cleveland Chamber Symphony, Cincinnati Chamber Orchstra, Saint Paul Chamber Orchestra, Verdehr Trio, Bridgehampton Chamber Music, New York New Music Ensemble, Moebius, Speculum Musicae, North/South Consonance, and the Cincinnati, Warsaw, Mannes and Blackearth Percussion Groups to name a few. Performers of Kramer's works have included Richard Stolzman, Andre-Michel Schub, Aleck Karis, Geoffrey Madge, Deborah Bradley, Jean Kopperud, Roger Smalley, Fred Sherry, Norman Fischer, Eric Bartlett, Mark Peskanov, James Preiss, Gerard Schwarz, Jesus Lopez-Cobos, Michael Gielen, Gerhard Samuel and Theodore Antoniou.

Active as a theorist, Jonathan wrote numerous books and articles, and appeared over a hundred times as guest lecturer in the United States and throughout Europe and Asia. He was vice-president of the International Society for the Study of Time and served on the Publications and Program Committees of the Society for Music Theory. He was on the editorial board of Perspectives of New Music and was regional co-editor for the United States of Contemporary Music Review. His books include The Time of Music (Schirmer Books) and an edited collection, Time in Contemporary Musical Thought (Gordon and Breach). At the time of his death he had just completed a book on music and postmodernism and a cello composition for the American Holocaust Museum.
 
 
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