In 2007 she dedicated the Orange County Museum of Art in Newport Beach (CA), a comprehensive exhibition, which followed the Contemporary Arts Museum Houston in Houston, Texas, at the Wexner Center for the Arts in Columbus (OH), and 2008 at the New Museum of Contemporary Art in New York was to be seen.
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The Orange County Museum of Art has organized exhibitions of contemporary art, including the first surveys of Vija Celmins (1980), Chris Burden (1988), and Tony Cragg (1990), as well as major exhibitions of work by Lari Pittman (1983), Gunther Forg (1989), Charles Ray (1990), Guillermo Kuitca (1992), Bill Viola (1997), Inigo Manglano-Ovalle (2003), Catherine Opie (2006), Mary Heilmann (2007), and Jack Goldstein (2012).
At New York's Pat Hearn Gallery in 1987, Trockel's paintings were shown alongside the works of Mary Heilmann, Annette Lemieux, Louise Bourgeois, and Eva Hesse.