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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

British Logic Colloquium

Leeds Logic Group

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:

  1. Model theory of valued fields, from the viewpoint of generalised stability theory -- issues around definability in henselian fields.
  2. Generalisations of o-minimality (structure theory arising from restrictions on one-variable definable sets).
  3. Model theory of finite (and pseudofinite) structures -- for example, model-theoretic consequences of asymptotic uniformities on sizes of definable sets.
  4. Model theory of groups -- e.g. groups in stable and simple theories, model theory of finite groups.
  5. Abstract model theory -- generalisations of stability, connections to combinatorial conditions such as Vapnik-Chervonenkis density.
  6. Infinite permutation groups -- often arising as automorphism groups of first order structures.
  7. 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.
<h4>Research projects</h4> <p>Any research projects I'm currently working on will be listed below. Our list of all <a href="https://eps.leeds.ac.uk/dir/research-projects">research projects</a> allows you to view and search the full list of projects in the faculty.</p>

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
    <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>