Summary of doctoral thesis: My thesis centres on Plato's mathematical interests: what is he talking about when he refers to the 'Form of the Equal' in the Phaedo? What role does he assign to numbers in his theory of Forms? What should we make of Aristotle's claim that Plato held that "mathematicals" (whatever they might be) occupied an intermediate ontological status between Forms and concrete particulars? And how do these questions, and possible answers to them, bear on his critique of contemporary mathematicians in the Republic?
Other research interests: Pythagoreanism, Ancient Science, Philosophy of Mathematics.