Dr Tim Burness

Research summary

My main area of research is in group theory. I am interested in simple groups, both finite and algebraic, with a particular focus on subgroup structure, conjugacy classes and representation theory.

I am also interested in permutation groups and related combinatorics, and in the application of probabilistic and computational methods.

PhD projects

Bases for permutation groups

If G is a permutation group on a set S then a subset B of S is a base for G if the pointwise stabiliser of B in G is trivial. The base size of G, denoted b(G), is the smallest size of a base for  ...

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Biography

Senior Lecturer in Pure Mathematics, University of Bristol (since August 2014)

Lecturer in Pure Mathematics, University of Bristol 

Lecturer in Pure Mathematics, University of Southampton  

Lady Davis Postdoctoral Fellow, Hebrew University of Jerusalem

Junior Research Fellow, St John's College, University of Oxford 

PhD Mathematics, Imperial College London (2005)

MSc Mathematics, University of Warwick (2001)

BSc Mathematics, University of Warwick (2000) 

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Links

•   Personal webpage

Selected publications

• Burness, T & Giudici, M, 2016, ‘Classical groups, derangements and primes’. Cambridge University Press
• Burness, TC, Ghandour, S & Testerman, DM, 2016, ‘Irreducible geometric subgroups of classical algebraic groups’. Memoirs of the American Mathematical Society, vol 239.

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Recent publications

• Burness, T & Testerman, D, 2019, ‘A₁ -type subgroups containing regular unipotent elements’. Forum of Mathematics, Sigma, vol 7.
• Burness, TC, Liebeck, MW & Shalev, A, 2019, ‘The length and depth of algebraic groups’. Mathematische Zeitschrift, vol 291., pp. 741-760

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View complete publications list in the University of Bristol publications system