Picture of Macpherson H. Dugald Macpherson

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E-mail address:
Telephone:
Department:
Research Group:
pmthdm@maths.leeds.ac.uk
(0113) 343 5166
Pure Mathematics
Mathematical Logic

Research Interests

Research areas.

1. Model theory: model theory of valued fields, stability theory and generalisations (e.g. `measurable structures'), model theory of groups, model theory of finite structures (e.g. of finite groups).

2. Permutation groups: infinite permutation groups as automorphism groups of omega-categorical or homogeneous structures, subgroups of infinite symmetric groups, connections to finite permutation groups.


Research Students
  • Andres Aranda Lopez
  • George Attesis


Former Research Students
  • Richard Archer
  • Simon McLeish
  • Alex Mosley
  • Keith Johnson
  • Tim Mellor
  • Silvia Barbina
  • Richard Elwes
  • Spiros Bousbouras
  • Mark Ryten
  • Richard Marshall
  • Pietro dello Stritto


Coordinator of Marie Curie Initial Training Network (MALOA)
1 October 2009 -- 30 September 2013. For further information, please see http://www.logique.jussieu.fr/MALOA


The Ph.D. thesis of Mark Ryten
  • Title: Model theory of finite difference fields and simple groups.
    Authors: Mark J. Ryten
    Source: University of Leeds, 2007
    Formats: pdf file


    Curriculum Vitae
    • Formats: LaTex 2e file | Postscript file | dvi file


      Some notes not intended for publication.
    • Title: Model theory of valued fields.
      Authors: Dugald Macpherson
      Source: Notes for a lecture course at the MODNET Training Workshop, La Roche-en-Ardennes, April 2008
      Formats: pdf file

    • Title: Imaginaries in algebraically closed valued fields.
      Authors: David Lippel, Dugald Macpherson
      Source: Notes for a lecture course at the workshop `An introduction to recent applications of model theory', Newton Institute, Cambridge, April 2005.
      Formats: pdf file


      Some Recent Preprints and Papers
      • Title: A survey of homogeneous structures.
        Authors: H.D. Macpherson
        Formats: pdf file

      • Title: Groups in supersimple and pseudofinite theories.
        Authors: R. Elwes, E. Jaligot, H.D. Macpherson, M. Ryten
        Formats: pdf file

      • Title: A survey of asymptotic classes and measurable structures.
        Authors: R. Elwes, H.D. Macpherson
        Journal: `Model theory and applications to algebra and analysis Vol. 2' (Eds. Z. Chatzidakis, H.D. Macpherson, A. Pillay, A.J. Wilkie), London Math. Soc. Lecture Notes No. 350, Cambridge University Press, pp. 125--159.

      • Title: Countable connected-homogeneous graphs.
        Authors: R. Gray, H.D. Macpherson
        Journal: J. Comb. Theory Ser. B 100 (2010), 97--118.

      • Title: Primitive permutation groups of bounded orbital diameter.
        Authors: Martin W. Liebeck, Dugald Macpherson, Katrin Tent
        Journal: Proc. London Math. Soc. (3) 100 92010), 216--248.

      • Title: One-dimensional asymptotic classes of finite structures.
        Authors: H.D. Macpherson, C. Steinhorn
        Journal: Trans. Amer. Math. Soc. 360(2008), 411--448.

      • Title: Stable domination and independence in algebraically closed valued fields
        Authors: D. Haskell, E. Hrushovski, H.D. Macpherson
        Publisher: Cambridge University Press (Lecture Notes in Logic), 2007

      • Title: Stable pseudofinite groups.
        Authors: H.D. Macpherson, K. Tent
        Journal: J. Algebra 312 (2007), 550-561.

      • Title: Reconstruction of homogeneous relational structures.
        Authors: S. Barbina, H.D. Macpherson
        Journal: J. Symbolic Logic 72 (2007), 792--802.

      • Title: Definable sets in algebraically closed valued fields. Elimination of imaginaries
        Authors: D. Haskell, E. Hrushovski, H.D. Macpherson
        Journal: J. Reine Angew. Math. 597 (2006), 175--236.

      • Title: On model companions for structures with an automorphism.
        Authors: K. Kudaibergenov, H.D. Macpherson
        Journal: Siberian Advances in Mathematics 16 (2006), 63-78.

      • Title: Interpretable groups, stably embedded sets and Vaughtian pairs.
        Authors: B. Herwig, E. Hrushovski, H.D. Macpherson
        Journal: J. London Math. Soc. 68 (2003), 1--11.

      • Title: A locally finite dense group acting on the random graph.
        Authors: M. Bhattacharjee, H.D. Macpherson
        Journal: Forum Math., 17 (2005), 513--517

      • Title: Strange permutation representations of free groups.
        Authors: M. Bhattacharjee, H.D. Macpherson
        Journal: J. Austral. Math. Soc. 74 (2003), 267--285.

      • Title: Definable sets in valued fields.
        Authors: D. Haskell, H.D. Macpherson
        Journal: in `Model theorey and applications' (Eds. L. Belair, Z. Chatzidakis, P. D'Aquino, D. Marker, M. Otero, F. Point, A. Wilkie), Quaderni di Matematica vol. 11, Dipartimento di Matematica, Seconda Universita di Napoli, 2005, 117--149.

      • Title: Minimality conditions on circularly ordered structures.
        Authors: B.Sh. Kulpeshov, H.D. Macpherson
        Journal: Math. Logic Quarterly 51 (2005), 377--399.

      • Title: Comeagre conjugacy classes and free products with amalgamation
        Authors: H. D. Macpherson, S. Thomas
        Journal: Discrete Mathematics 291 (2005) 135--142

      • Title: Jordan groups and limits of betweenness relations.
        Authors: M. Bhattacharjee, H.D. Macpherson
        Journal: J. Group Theory 9 (2006), 59--94.


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    This page is maintained by H. D. Macpherson
    Last Updated 27 March 2008