His poems and aphorisms have appeared in magazines and journals such as Granta, Hotel Amerika, The Iowa Review, London Magazine, New American Writing, New Welsh Review, and The Walrus.
After several years abroad in rural Italy and New York City, in 2005 he returned to Canada.
Murray's 2007 book, The Rush to Here, a sequence of 57 sonnets, reworks a number of traditional forms (Petrarchan, Spenserian, Shakesperean sonnets) into a new rhyme scheme that employs what the poet refers to as "thought-rhyme", conceptual and semantic pairings that work on the level of synonym, antonym and homonym to create intertextual meaning, as opposed to the sound bonding of traditional aural rhyme.
His 2012 book, Whiteout, contained a poem titled Song For Memory, first published in The New Welsh Review, that was adapted by the band The Once for their 2011 album Row Upon Row of the People They Know (a phrase taken from the poem).
In 2014, Murray founded the online poetry journal NewPoetry, a site that ran until 2018.