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Dr John Mackay

Dr John Mackay

Dr John Mackay
BSc(Edin.), PhD(Mich.)

Lecturer in Pure Mathematics

Area of research

Geometric group theory and analysis on metric spaces

Office G.17
Fry Building,
Woodland Road, BS8 1UG
(See a map)

Tel. +44 (0) 117 42 84823

Research summary

Geometric group theory, particularly hyperbolic and relatively hyperbolic groups.  

Analysis on metric spaces, especially questions related to Hausdorff dimension and quasisymmetric maps.

Ph.D. projects

The two main themes of my research are geometric group theory and analysis on metric spaces.

Geometric group theory involves the study of infinite, finitely generated groups by considering how they act on appropriate spaces.  I am particularly interested in Gromov’s hyperbolic groups, and how they can be studied using their “boundary at infinity”.  (For example, three dimensional hyperbolic space, in the Poincaré ball model, has a natural sphere at infinity.)  ...

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Biography

BSc (Hons) Mathematics

University of Edinburgh (2003)

PhD Mathematics

University of Michigan (2008)

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Recent publications

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View complete publications list in the University of Bristol publications system

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