My main research interest is in ancient philosophy of physics and mathematics. In my doctoral thesis, I am examining how Aristotle's ideas on philosophy of geometry relate to his physical views, in particular to his theory of place and of spatially extended magnitudes.

Although Aristotle’s physics is not mathematisable, the key claim of his philosophy of geometry is that geometrical statements are about the physical world: a certain connection between physics and mathematics is taken for granted. My aim is to explore the details of this connection, to highlight the tensions that it generates, and the ways in which Aristotle navigates them. This requires an examination of a number of interesting aspects of Aristotle's philosophy: his account of geometrical objects and the difference between physical and geometrical modalities; his theory of continuity; his rejection of void and his theory of place.

My work on Aristotle is part of a broader research interest on ancient philosophies of space: during my BPhil, I worked on Epicurus' notion of void, and I hope to be able to study the Stoics in the near future. I am particularly fascinated by non-standard accounts of space and place, and in the various ways in which mathematics can be used to model, understand and change the physical world. I believe that focusing on ancient theories of physics and mathematics is not merely of historical interest, and I try to connect my work in ancient philosophy to open issues in contemporary philosophy of mathematics.

Publications