Rosen's work has been exhibited internationally, including solo exhibitions and projects at the Witte de With Center for Contemporary Art in Rotterdam, the Museum of Contemporary Art Chicago, the MIT List Visual Art Center, the Museum of Contemporary Art Los Angeles, the Museum of Fine Arts Boston, the Aspen Art Museum, and the Dunedin Public Art Gallery in New Zealand. She has also been included in notable group exhibitions such as Ecstatic Alphabets/Heaps of Language at the Museum of Modern Art (2012), Prospect 1 New Orleans curated by Dan Cameron, and the 2000 Whitney Biennial. Her work is the collections of the Museum of Modern Art, the Museum of Contemporary Art Los Angeles, the Whitney Museum of American Art, the Museum of Contemporary Art Chicago, the Art Institute of Chicago, and the Norton Family Collection.