Photo of Peter Davidson
  • United Kingdom

Accepting PhD Students

20092018

Research output per year

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Personal profile

Personal Statement

My research interests are in geometric methods in combinatorial group theory. I obtained my PhD from the Univeristy of Glasgow in 2008 under the supervision of Prof. Stephen J. Pride. I joined the University of Strathclyde in that year as a Teaching Assistant and I am now a Teaching Associate. Between 2011 and 2018 I was the Manager of the University's Maths Skills Support Centre.

I am a Senior Fellow of the Higher Education Academy and an Ordinary Member of the Edinburgh Mathematical Society and sit on the Society's Education Committee. I am also the Year 1 Coordinator for the Department of Mathematics and Statistics and was previously the department's Chief Undergraduate Academic Selector.

Teaching Interests

In 2019/20 I will be teaching:

  • MM103: Geometry and Algebra with Applications
  • MM113: Mathematics 1E
  • MM114: Mathematics 2E
  • MM125: Mathematics Summer School
  • MM211: Mathematics 3B
  • MM301: Linear Algebra

Previous teaching:

  • MM105: Applications of Mathematics
  • MM112: Mathematics 2B
  • MM116: Mathematics 1C
  • MM117: Mathematics 1D
  • MM202: Advanced Calculus
  • MM215: Mathematics 2D
  • MM217: Mathematics 2M
  • MM311: Mathematics 4B

I have supervised a number of level 4 honours projects in topics such as topology, theory of automata, complex dynamics, geometry, knot theory, number theory and group theory.

Research Interests

I am interested in a number of areas in combinatorial group theory and semigroup theory:

  • the word problem for finitely presented group
  • Dehn functions of groups
  • asphericity of relative group presentations
  • groups defined by finite state automata
  • inverse semigroups

I am also interested in pedagogical research in the Mathematical Sciences, particularly in areas related to Mathematics and Satistics support.

Academic / Professional qualifications

Senior Fellow of the Higher Education Academy (August 2019).

External positions

Education Committee Member, Edinburgh Mathematical Society

2016 → …

Keywords

  • Combinatorial Group Theory
  • Geometric Group Theory
  • Semigroup Theory
  • Mathematics and Statistics Support

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Research Output

The provision of mathematics and statistics support in Scottish higher education institutions (2017): a comparative study by the Scottish mathematics support network

Ahmed, S., Davidson, P., Durkacz, K., Macdonald, C., Richard, M. & Walker, A., 30 May 2018, In : MSOR Connections. 16, 3, p. 5-19 15 p.

Research output: Contribution to journalArticle

Open Access
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    The word problem for Pride groups

    Davidson, P., 2014, In : Communications in Algebra. 42, 4, p. 1448-1459 12 p.

    Research output: Contribution to journalArticle

    Open Access
    File
  • 24 Downloads (Pure)