Baldock's first solo exhibition with Stephen Friedman Gallery opened in September 2019 in Gallery Two, coinciding with a solo exhibition of new work by Lisa Brice in Gallery One. Looking at ancient forms of communication, his exhibition will comprise a new series of ceramic masks that teem with bright colours and outlandish expressions. A large-scale, interactive sculpture will also be on view by Baldock at Fitzrovia Chapel, London during Frieze week.
In the spring of 2019, Baldock had a solo exhibition at Camden Arts Centre, London which will tour to Tramway, Glasgow in August 2019. He will have a solo exhibition at Kunsthall Stavanger, Norway in May 2020.
Other notable solo and two-person exhibitions include those at De La Warr Pavilion, Bexhill (2017); The Grundy Art Gallery, Blackpool (2017); Southwark Park Galleries, London (2017); PEER, London (2016); Chapter Gallery, Cardiff (2016); Wysing Arts Centre, Cambridge (2013).