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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
Former Research Students
- Richard Archer
- Simon McLeish
- Alex Mosley
- Keith Johnson
- Tim Mellor
- Silvia Barbina
- Richard Elwes
- Spiros Bousbouras
- Mark Ryten
- Richard Marshall
Proposed Marie Curie Initial Training Network (MALOA)
Expected starting date: 1 October 2009.
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: Primitive permutation groups of bounded orbital diameter.
Authors: Martin W. Liebeck, Dugald Macpherson, Katrin tent
Journal: Preprint.
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' (Eds. Z. Chatzidakis, H.D. Macpherson, A. Pillay, A.J. Wilkie), Cambridge University Press, to appear.
Formats: LaTex 2e file |
dvi file |
pdf file
- Title: Countable connected-homogeneous graphs.
Authors: R. Gray, H.D. Macpherson
Formats: LaTex 2e file |
dvi file |
pdf file
- 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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