Reductive explanation in the physical sciences
PhD thesis: A Priori Entailment and the Metaphysics of Science.
This research is discussed in section 6.15 of David Chalmers’ (2012) Constructing the World (Oxford University Press).
Explanation in pure mathematics
2018. ‘Two Flavours of Mathematical Explanation’, in Explanation Beyond Causation, Reutlinger, A. & Saatsi. J (eds) Oxford University Press (with Mark Colyvan and John Cusbert).