In 1976 Korstick went to the United States to continue his studies at The Juilliard School in New York City where he was a scholarship student of Sascha Gorodnitzki until 1983.
Critics have called Korstick "one of the most important Beethoven performers of our time" (Audiophile, Fono Forum [de]).
On his worldwide concert tours he has given cyclical performances of the piano concerti of Beethoven, Brahms, Liszt, Rachmaninov, Bartók, and Prokofiev.
His 2003 recording of Beethoven's Sonata op.106 ("Hammerklavier") has been the subject of feature articles in Die Zeit and the Süddeutsche Zeitung.
Maurice Ravel, Guillaume Lekeu, Francis Poulenc: Sonatas for Violin and Piano Olivier Messiaen: Thème et Variations