Significant group exhibitions include those at Gropius Bau (Berlin, 2022); Fotogalerie Wien (2020); Metropolitan Museum of Art (New York, 2018); Migros Museum (Zurich, 2016); MASP (São Paulo, 2016); Kunsthalle Düsseldorf (2015); Kunsthalle Wien (2013) and Budapest and Mucsarnok Kunsthalle (2008). Koťátková’s works have additionally been presented at Ruhrtriennale (Duisburg, 2023); documenta fifteen (2022); the 16th Istanbul Biennial (2019); the Venice Biennale (2013); the 18th Biennale of Sydney (2012) and the Liverpool Biennial (2010). Her work is present in numerous public collections such as Museum für Moderne Kunst Frankfurt, MIT Boston, Guggenheim New York, Migros Museum Zurich, MoMA New York, Ludwig Museum Köln, Reina Sofia Madrid and Centre Pompidou Paris.