His first publication was a translation from the Latin of de re aedificatoria, the fifteenth century treatise on architecture written by Italian humanist, Leon Battista Alberti.
The book contained a selection of well-known writings about architecture written by thinkers within Continental Philosophy, ranging from Hermeneutics and Phenomenology to Structuralism and Deconstruction, prefaced by Leach's own introductions.
Among the authors included were: Jacques Derrida, Martin Heidegger, Umberto Eco, Michel Foucault, Jean Baudrillard and Walter Benjamin.
He is the co-recipient of two NASA grants to explore the potential use of the robotic fabrication technology, Contour Crafting, for building structures on the Moon and Mars.
His books have been translated into eight different languages, including Spanish, Chinese, Romanian, Portuguese, Korean, Polish, Persian and Macedonian.