Professor Dugald Macpherson
- Position: Professor
- Areas of expertise: model theory; stability theory; o-minimal; valued field; group theory; pseudofinite; infinite permutation group; homogeneous structure.
- Email: H.D.MacPherson@leeds.ac.uk
- Phone: +44(0)113 343 5166
- Location: Mathematics 9.04 School of Mathematics
- Website: Personal home page | ORCID
Profile
MALOA Initial Training Network
Responsibilities
- Interim Head of School of Mathematics
Research interests
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-Chervonenkis 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.
Qualifications
- D.Phil, (Oxford University), 1983
Professional memberships
- London Mathematical Society
- British Logic Colloquium
- European Mathematical Society
Research groups and institutes
- Pure Mathematics
- Logic
Current postgraduate researchers
<h4>Postgraduate research opportunities</h4> <p>We welcome enquiries from motivated and qualified applicants from all around the world who are interested in PhD study. Our <a href="https://phd.leeds.ac.uk">research opportunities</a> allow you to search for projects and scholarships.</p>Projects
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<li><a href="//phd.leeds.ac.uk/project/237-maximal-closed-permutation-groups-and-reducts-of-first-order-structures">Maximal-closed permutation groups and reducts of first-order structures</a></li>