Algebra, logic and number theory
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We are engaged in research across diverse and interrelated areas of algebra, logic and number theory.
Areas of expertise
We have concentrations of expertise across broad areas of fundamental pure research underpinning much of mathematics. We explore algebra, model theory and number theory in depth as well as the connections between and with other disciplines such as geometry, dynamical systems and topology. We also have expertise in the emerging area of tropical mathematics, which has aspects of algebra and geometry.

Algebra
Algebra is the study of abstract objects arising from across mathematics, unifying apparently distant areas.
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Logic
Logic studies formal languages and reasoning, often focusing on the interplay between axiomatic theories and their models.
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Number theory
Number theory is an ancient area of mathematics involving the study of integers, wellknown for the simplicity of its statements and beauty of its proofs.
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Semigroups and semirings
A semigroup is an algebraic structure with a single associative binary operation; if it has an identity element it is called a 'monoid'.
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Research seminars
Research seminars on topics associated with algebra, logic and number theory take place regularly in the following series:
PhD research opportunities
We welcome applications for PhD study in all areas of algebra, logic and number theory. PhD enquiries related to this theme can be directed to Dr Marcus Tressl.
To discover PhD opportunities available in the Department of Mathematics, explore our Postgraduate research in mathematics.