Mathematical Interests
I work in Model Theory, a branch of mathematical logic, and its applications to algebra. I’m interested in simple theories, geometric stability theory, the model theory of groups and fields, and the interplay between these.
Papers
• Dimension And Measure In Finite First Order Structures
PhD thesis, University of Leeds, 2005, (pdf)
• Asymptotic Classes Of Finite Structures
Journal Of Symbolic Logic, 72, 2, 2007, pp. 418-438; (pdf)
• A Survey Of Asymptotic Classes and Measurable Structures (with Dugald Macpherson)
in Model Theory with Applications to Algebra and Analysis Volume 2 (Cambridge University Press, 2008) (pdf)
• Measurable Groups of Low Dimension (with Mark Ryten)
Mathematical Logic Quarterly 54, No 4, 374-386 (2008)
Pre-Prints
(These are liable to be changed without warning.)
• PAC Substructures Of Strongly Minimal Sets (with Bijan Afshordel)
Lecture Notes
• Galois Maps, Measure, and Generic Automorphisms in Strongly Minimal Sets (pdf)