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
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