I have recently completed a monograph on the metaphysical origins of analytic philosophy (On the Genealogy of Universals: The Metaphysical Origins of Analytic Philosophy) and I am currently working on a monograph on the metaphysics of relations (Relations: Existence, Nature and Applications), both with Oxford University Press. I am also currently investigating the relationship between Quine and Lewis, as part of the AHRC project Age of Metaphysical Revolution.
More generally, my published work covers four interrelated fields.
(1) Metaphysics: Meta-Ontology, Truth-Making, Essentialism, Relations, Universals
(2) Philosophy of Mathematics: Neo-Freganism, Structuralism, Fictionalism
(3) Philosophy of Language: Reference, Predication and Quantification
(4) History of Analytic Philosophy: Frege, W.E. Johnson, McTaggart, G.E. Moore, Ramsey, Russell, Stout, Whitehead, Wittgenstein (early 20th century) and Quine, Davidson and Lewis (late 20th century)