I’m primarily focussed on the foundations of mathematics (though I have interests in several areas of philosophy and logic). I investigate different systems (both philosophical and mathematical) for representing our mathematical reasoning and results, and compare and contrast their features. In particular, I’m interested in issues surrounding pluralism and perspectivalism: The idea that there might be more than one legitimate point of view to take on mathematical reality.

Always a fun exercise: Here’s a description of my research only using the ten-hundred (i.e. a thousand) most-used words:

Numbers are really important for understanding the…

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