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Research Interests
Research areas.
1. Model theory: model theory of valued fields, stability theory and generalisations (e.g. `measurable structures', NIP theories),
model theory of groups, model theory of finite structures (e.g. of finite groups). Connections to combinatorics.
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
- Anja Komatar (cosupervised with Immanuel Halupczok)
- Rosario Mennuni (cosupervised with Vincenzo Mantova)
- Bjarki Benediktsson (cosupervised with Isolde Adler)
- Rory Ainslie (cosupervised with Vincenzo Mantova)
- Bea Adam-Day (cosupervised with Andrew Brooke-Taylor)
- Francesco Gallinaro (cosupervised with Vincenzo Mantova)
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
- Andres Aranda Lopez
- David Bradley-Williams (co-supervised with John Truss)
- Daniel Wolf
- Ricardo Bello Aguirre
- Daoud Siniora
- Ingram Bondin (initial supervisor Barry Cooper; then joint supervision with Andrew Lewis-Pye of LSE)
- Asma Almazaydeh
Coordinator of Marie Curie Initial Training Network (MALOA)
1 October 2009 -- 30 September 2013.
For further information, please see http://www.maths.leeds.ac.uk/maloa
Editorial Adviser, London Mathematical Society
Interim Head of School of Mathematics since 1 August 2018
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: pdf 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
- Title: Groups in Stable and simple theories
Authors: Dugald Macpherson
Source: Notes for a lecture in conference `Geometric Model Theory', Oxford, 25--28 March 2010
Formats: pdf file
Some Recent Preprints and Papers
- Title: Metrically homogeneous graphs of diameter three.
Authors: Daniela Amato, Gregory Cherlin, Dugald Macpherson
Formats: pdf file
- Title: Model theory of finite and pseudofinite groups.
Authors: Dugald Macpherson
Journal: Arch. Math. Logic 57 (2018), no. 1-2, 159–184.
- Title: Permutation groups without irreducible elements.
Authors: A.M.W. Glass, Dugald Macpherson
Journal: in `Groups, modules, and model theory', Springer, Cham. 2017, pp 331--332.
- Title: Profinite groups with NIP theory and p-adic analytic groups.
Authors: Dugald Macpherson, Katrin Tent
Journal: Bulletin of London Math. Soc. 48 (2016) no. 6, 1037--1049.
- Title: Reducts of structures and maximal-closed permutation groups.
Authors: Manuel Bodirsky, Dugald Macpherson
Journal: Journal of Symbolic Logic 81 (2016), no. 3, 1087--1114.
- Title: Vapnik-Chervonenkis density in some theories without the independence property, I.
Authors: Matthias Aschenbrenner, Alf Dolich, Deirdre Haskell, Dugald Macpherson, Sergei Starchenko
Journal: Trans. Amer. Math. Soc. 368 (2016), 5889-5949.
- Title: Constraint satisfaction tractability from semi-lattice operations on infinite sets.
Authors: Manuel Bodirsky, Dugald Macpherson, Johan Thapper
Journal: ACM Trans. Comp. Logic 14 (2013) no. 4, Art. 30
- Title: Pseudofinite structures and simplicity.
Authors: Dario Garcia, Dugald Macpherson, Charles Steinhorn
Journal: Journal of Mathematical Logic 15 (2015) no.1, 1550002.
- Title: Orbit-equivalent infinite permutation groups.
Authors: Debbie Lockett, Dugald Macpherson
Journal: Journal of Algebraic Combinatorics 38 (2013), 973--988.
- Title: Unexpected imaginaries in valued fields with analytic structure.
Authors: Deirdre Haskell, Ehud Hrushovski, Dugald Macpherson
Journal: Journal of Symbolic Logic 78 (2) (2013), 523--542.
- Title: Vapnik-Chervonenkis density in some theories without the independence property, II.
Authors: Matthias Aschenbrenner, Alf Dolich, Deirdre Haskell, Dugald Macpherson, Sergei Starchenko
Journal: Notre Dame Journal of Formal Logic 54 (2013), 311-363.
- Title: Pseudofinite groups with NIP theory and definability in finite simple groups.
Authors: Dugald Macpherson, Katrin Tent
Journal: `Groups and model theory', 255-267, Contemp. Math. 576, Amer Math. Soc., Providence, RI, 2012
- Title: Definability in classes of finite structures.
Authors: Dugald Macpherson, Charles Steinhorn
Journal: `Finite and algorithmic model theory', 140-176, London Math. Soc. Lecture Notes No. 379, Cambridge University Press, 2011.
- Title: Simplicity of some automorphism groups.
Authors: Dugald Macpherson, Katrin Tent
Journal: Journal of Algebra 342 (2011), 40-52.
- Title: Set-homogeneous directed graphs.
Authors: Robert Gray, Dugald Macpherson, Cheryl E. Praeger, Gordon F. Royle
Journal: J. Comb. Theory Ser. B 102 (2012), 474-520.
- Title: Groups in supersimple and pseudofinite theories.
Authors: R. Elwes, E. Jaligot, H.D. Macpherson, M. Ryten
Journal: Proc. London Math. Soc. (3) 103 (2011), 1049-1082.
- Title: A survey of homogeneous structures.
Authors: H.D. Macpherson
Journal: Discrete Mathematics 311 (2011), 1599--1634.
- 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 (2010), 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: 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, 2008 pp. 125--159.
- 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: Jordan groups and limits of betweenness relations.
Authors: M. Bhattacharjee, H.D. Macpherson
Journal: J. Group Theory 9 (2006), 59--94.
- 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: A locally finite dense group acting on the random graph.
Authors: M. Bhattacharjee, H.D. Macpherson
Journal: Forum Math., 17 (2005), 513--517
- 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: 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: Strange permutation representations of free groups.
Authors: M. Bhattacharjee, H.D. Macpherson
Journal: J. Austral. Math. Soc. 74 (2003), 267--285.
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