Professor Dugald Macpherson
- Head of Department of Pure Mathematics
I work in model theory (mathematical logic) and adjacent areas of permutation group theory and combinatorics. Particular interests include the following:
- Model theory of valued fields, from the viewpoint of generalised stability theory -- issues around definability in henselian fields.
- Generalisations of o-minimality (structure theory arising from restrictions on one-variable definable sets).
- Model theory of finite (and pseudofinite) structures -- for example, model-theoretic consequences of asymptotic uniformities on sizes of definable sets.
- Model theory of groups -- e.g. groups in stable and simple theories, model theory of finite groups.
- Abstract model theory -- generalisations of stability, connections to combinatorial conditions such as Vapnik-Chevonenkis density.
- Infinite permutation groups -- often arising as automorphism groups of first order structures.
- Homogeneous structures, in the sense of Fraisse. There are connections to permutation groups and combinatorics, and more recent connections to Ramsey theory, topological dynamics, and constraint satisfaction.
- D.Phil, (Oxford University), 1983
- London Mathematical Society
- British Logic Colloquium
Research groups and institutes
- Pure mathematics
Current postgraduate research students
Postgraduate research opportunities
We welcome enquiries from motivated and qualified applicants from all around the world who are interested in PhD study. Our research opportunities allow you to search for projects and scholarships.