Vincent received his MFA from Louisiana State University, and he attended Loyola University New Orleans to earn his Bachelor's degree in English Writing with a background in studio arts by cross-enrolling at Tulane University. In 2010, he collaborated with the Louisiana Division of the Arts to develop and host several Artist Communication Workshops.

A few of his publications include poems, translations, and reviews in Best American Experimental Writing, The Berkeley Poetry Review, Best American Poetry,  Exquisite Corpse, International Poetry Review, New Delta Review, New Orleans Review, Xavier Review, moria, The Pedestal, So and So Mag, TENDER_LOIN, and Toad Suck Review. An Easy Place / To Die was his first book of poetry. Cellucci contributed, edited, and produced a collaborative (including Andrei Codrescu) audio novel, The Katrina Decameron, which was released on iTunes in late  2010, and he is the founder of River Writers, a downtown Baton Rouge (pop up) reading series.