He has published poems and essays in periodicals such as Harper’s Magazine, The Nation, and The Journal of the History of Ideas.
[1][2] His translations from Spanish appear in anthologies such as The Oxford Book of Latin American Poetry (Oxford UP), Poems for the Millennium (University of California Press), and The Whole Island: Six Decades of Cuban Poetry (University of California Press) Gudding has a daughter named Clio.
Gudding's second book of poetry, Rhode Island Notebook, was published in November 2007 by Dalkey Archive Press.
It was written in Gudding's car on the highways between Normal, Illinois, and Providence, Rhode Island, during 26 roundtrip journeys, and has been called by the polymathic writer and artist Alan Sondheim, "the first 21st Century classic."
Friends with Everybody, Gudding's translation of Venn med alle (2018) by Norwegian poet Gunnar Wærness, was published in 2024 by Action Books.