Coombs holds his MA, Painting, Royal College of Art, London and BA, Ruskin School, Oxford University. The artist is the recipient of various awards and honours including the Mark Rothko Foundation Travel Award, 2004 and the Rome Scholar in Painting Award, British School in Rome, and the St. Peter's Church Commission, Brighton, 2000. Select solo exhibits include New Art Projects, London, 2014; Fine Art Society, 2011, London; Fred Gallery, London, 2009; Mihai Nicodim Gallery, Los Angeles, 2005; The Approach, London, 2003 and 2001; Rockwell, London, 2003; The Cornerhouse, Manchester , 2002; Habitat, London, 2000; Zwemmer Gallery, London, 2000 and The Approach, London, 1999 and 1997.
The artist has also participated in over 60 international group shows. Recent exhibits include: Charlie Smith London, 2018, 2017 and 2015; Standpoint Gallery, London, 2018; Watson Farley and Williams LLP, London, 2018; Kingsgate Projects, London, 2017; Richmond Museum, 2016; Marylebone Crypt, 2016; APT, London, 2016 and Galerie Dukan, Paris, 2015.