The Stockholm-born 47-year-old is to return to direct the Moderna Museet where he was senior curator from 1986 to 1989.
BBC: Search starts for Tate Modern chief
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The Moderna Museet itself opened in a renovated drill house in 1958.
ECONOMIST: Modern art curators
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He has had solo exhibitions at the Moderna Museet in Sweden, Fondazione Prada in Milan, Kunsthaus Bregenz in Austria and the Hamburger Bahnhof in Berlin.
FORBES: Carsten H?ller: Experience at the New Museum