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School of Mathematics

Mark's Research

I work in the School of Mathematics at the University of Manchester, in the north-west of England. I am affiliated to the Algebra Group, the Logic Group, the Tropical Mathematics Group and the Centre for Interdisciplinary Computational and Dynamical Analysis (CICADA).

By original training I'm both a mathematician and a computer scientist and I've worked at various points on the spectrum between the two subjects, but my interests over the last few years have drifted more towards the mathematical end. The main focus of my research is the theory of semigroups and automata, which I view as two aspects of the same subject (an automaton being essentially a semigroup action). However, I spend much of my time working on connections with adjacent fields and application areas, such as combinatorial and geometric group theory, computational complexity, quantum computation, formal language theory, and most recently tropical algebra and geometry.

Some of the major topics on which I have recently worked include:

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