Glenn joined the Museum of Contemporary Art as Curator in 2008 where he has led major curatorial projects including Almanac: The Gift of Ann Lewis AO (2009-10), Making it New: Focus on Contemporary Australian Art (2009) and avoiding myth & message: Australian artists and the literary world (2009).

Previously curator of the University of Wollongong Art Collection from 1996 to 2007, Glenn was also founding co-Director with Lisa Havilah and Nathan Clark of Project Contemporary Artspace, Wollongong, a not-for-profit gallery space run for artists. In 2007-08 he was Director of the Ergas Collection based in Sydney and Canberra.

In 2011 he curated a survey of Berlin-based New Zealand artist Michael Stevenson and a major exchange exhibition Tell Me Tell Me: Australian and Korean Contemporary Art 1976-2011, a collaboration between the MCA and the National Museum of Contemporary Art, Seoul, Korea. This year, Glenn curated the first exhibition of the MCA Collection for the MCA’s new building,Volume One: MCA Collection, and co-curated with Lesley Harding, Heide Museum of Modern Art, Melbourne a retrospective of the Australian artist Ken Whisson, Ken Whisson: As If, scheduled for March (Heide) and September (MCA) 2012.