Baxter is currently teaching (rank Professor Emeritus) at the School of Visual Arts University of Windsor.
Recognized internationally as a forerunner of Canadian conceptual art, the Canada Council Molson Prize committee stated in 2005 that his "highly regarded conceptual installations and projects, as well as his photography, have earned him the label of 'the Marshall McLuhan of the visual arts."
2004 Governor General’s Award winner in Visual and Media Arts, Companion to the Order of British Columbia.
2003 Officer of the Order of Canada.