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Madoyan has performed with a number of world's best symphony orchestras and conductors such as Richard Hickox, Frans Brüggen, Claudio Abbado, Arnold Katz, Dmitri Kitayenko, Valery Gergiev, Leopold Hager, Matthias Bamert, Richard Dufallo and Nikolai Alekseyev.[third-party source needed]
Madoyan performs very complicated violin repertoire only a little number of violinists can selectively manage in one concert: Beethoven's 10 Sonatas for Violin and Piano (played in three evenings in sequence), Paganini's 24 Caprices (played in one evening without interruption), Bach's Sonatas and Partitas for Solo Violin (played in one evening), Six Sonatas for Violin and Cembalo (played in one evening), Eugène Ysaÿe's Six Sonatas (played in one evening), Paganini's six concertos (played in one evening for the first time in history) to name a few. He played all compositions by memory (live).
The list of the concert halls he performed at, included but not limited to Tivoli Hall, Concertgebouw, Royal Festival Hall, Verdi Theater in Milan and the Big Concert Hall of the Moscow Conservatory.
His discography contains more than 24 CDs.