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I am currently a research fellow at the University of St Andrews. I am working on various aspects of the interactions between semigroup theory and automata theory. My two main projects at the moment are: an investigation of semigroups with rational word problem, particularly focussing on Green's relations on these semigroups; and some work on automaton semigroup constructions. I have also started working on some questions on languages in group theory.

I completed my PhD on word problems of groups at the University of Warwick in early 2011, supervised by Derek Holt. From October 2010 I spent a year as a research and teaching assistant at Kiel University in Germany, working with Richard Weidmann in geometric group theory.

Communications in Algebra, 41:5, 1790-1799 (2013)

(Earlier version)

Groups Complexity Cryptology, Volume 6, Issue 1, 9-29 (2014)

(Preprint)

To appear in Semigroup Forum

(Preprint)

MSc research project:

Complete list of talks

MT1002 Mathematics

MT3600 Fundamentals of Pure Mathematics

I have previously been involved in teaching the following courses at St Andrews:

MT2001 Mathematics (linear algebra and calculus): tutorials, examples classes and computer lab sessions (2014).

MT5823 Semigroups: 4 lectures, 4 tutorials, and helping students with their projects (2014).

MT5824 Topics in Groups: 3 lectures (2013).

MT4003 Groups: 6 lectures and all tutorials (2012).

In the 2012/13 academic year I supervised an MMath student, Xiaobing Sheng, for her project on 'Word problems of groups, languages and automata'.

NBSAN (North British Semigroups and Applications Network)

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Tara Brough Last modified 15.09.2014 |