 Brown has authored or edited a number of books and over 160 academic papers published in academic journals or collections.His first published paper was "Ten topologies for X × Y", which was published in the "Quarterly Journal of Mathematics" in 1963 Since then, his publications have appeared in many journals, including but not limited to the "Journal of Algebra", "Proceedings of the American Mathematical Society", "Mathematische Zeitschrift", "College Mathematics Journal", and "American Mathematical Monthly".He is also known for several recent co-authored papers on categorical ontology.