Ab Koster held a professorship at the Hochschule für Musik und Theater in Hamburg from after he left the NDR Symphony Orchestra in 1990 until his retirement in 2019.

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More than 60 students from his horn studio have won positions over the years in Germany and around the world.

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Ab Koster also held a position as a guest lecturer at the King’s Institute for Music in The Hague, Holland for many years.