In my dissertation, I investigate the contribution of mathematics to the content of a physical theory. I use both the history of quantum field theory and the contemporary practices of quantum field theorists to argue for a more flexible account of the content of scientific theories than is standard in philosophy of physics. I argue that much of the content of a theory lies in the mathematically unrigorous techniques of physicists which are still in a nascent stage and have not hardened into full rigor, and offer ways to interpret such techniques. An extended summary of my dissertation can be downloaded here.
The following papers form part of my dissertation:
"Coarse-Graining as a Route to Microscopic Physics: The Renormalization Group in Quantum Field Theory", forthcoming in Philosophy of Science. [Preprint]
"Interpretive strategies for deductively insecure theories: The case of early quantum electrodynamics", Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4), 395-403. [Preprint]
I have other ongoing projects in philosophy of science, metaphysics, and feminist philosophy. You can download a sypnosis of them here.