 As a composer, he is by performances with the citizens of Berlin Biennale, Wiener Festwochen (Vienna's week-long musical festival), the Wittener Tage für neue Kammermusik and in Donaueschingen.Kyburz has led such internationally renowned ensembles such as Klangforum in Vienna, Ensemble Contrechamps in Geneva, Ensemble Intercontemporain in Paris, musikfabrik North Rhine-Westphalia, Ensemble Modern, Ensemble für Neue Musik in Zürich, Ensemble UnitedBerlin, Camerata Quartett in Warsaw and ensemble recherche in Freiburg.CD recordings have documented his work.