Stoschek first began buying art in 2003.[3] Her collection features more than 850 works by about 250, mainly European and US artists[4] working from the 1960s onwards and includes video, multi-media environments, internet-based installations and performance.[3] The Julia Stoschek Collection in a former industrial building in Düsseldorf-Oberkassel opened in 2007, and has two floors of exhibition space, over 2,500 square metres (27,000 square feet).[5] Within the first ten years from 2007 until 2017, the Julia Stoschek Collection staged 15 exhibitions,[6][7] including solo shows of Cao Fei (2009), Derek Jarman (2010),[8]Sturtevant (2014), Wu Tsang (2015) and Cyprien Gaillard (2015).[9]
In 2016, the Julia Stoschek Collection opened a satellite exhibition space in a former Czech cultural center in Berlin.[3] The space has in the past shown solo shows by artists including Arthur Jafa (2018).[10]
The Julia Stoschek Collection co-sponsored two exhibitions in the German Pavilion at the Venice Biennale: Fabrik (2015) curated by Florian Ebner and Faust (2017) by Anne Imhof.[11]
From 2006 until 2010, Stoschek was in a relationship with Andreas Gursky.[17][18] From 2011, she dated art dealer Max Mayer.[19][20] She has a son with Mathias Döpfner, with whom she was in a relationship from 2013 to 2018.[21][22]