I’m a Postdoctoral Research Fellow at the Kurt Gödel Research Center at the University of Vienna.
For those that are interested in this sort of thing, my Erdős-number is 3 (Erdős->Magidor->S. Friedman->Barton).
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.
You can read a fuller description (written in an accessible style) of the areas of my research here, or below a description using the ten-hundred most used words:
Numbers are really important for understanding the world. What ways can we talk about numbers? How can we show that an idea about them is either okay or, even better, good? I look at how we can form these ideas, and also the best ways for showing new stuff about numbers.
Try it yourself.