Research output per year
Research output per year
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 Fellow. 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 Director of Teaching for the Department of Mathematics and Statistics and was previously the department's Chief Undergraduate Academic Selector and Year 1 Coordinator.
Teaching Interests
In 2022/23 I will be teaching:
- MM101: Introduction to Calculus
- MM114: Mathematics 2E
- MM301: Linear Algebra
Previous teaching:
- MM103: Geometry and Algebra with Applications
- MM105: Applications of Mathematics
- MM112: Mathematics 2B
- MM113: Mathematics 1E
- MM116: Mathematics 1C
- MM117: Mathematics 1D
- MM125: Mathematics Summer School
- MM202: Advanced Calculus
- MM211: Mathematics 3B
- MM213: Engineering Mathematics 3E
- 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
- 4 Article
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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 journal › Article › peer-review
Open AccessFile76 Downloads (Pure) -
The word problem for Pride groups
Davidson, P., 2014, In: Communications in Algebra. 42, 4, p. 1448-1459 12 p.Research output: Contribution to journal › Article › peer-review
Open AccessFile61 Downloads (Pure)
Activities
- 3 Organiser of special symposia
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Mathematics and Statistics Teaching Away Day
Watret, C. (Organiser), McLeay, A. (Organiser), Corson, L. (Invited speaker), Miller, A. (Invited speaker), Watret, C. (Invited speaker), Roberts, A. (Invited speaker), Kelly, L. (Participant), Dombi, E. (Participant), Csoban, T. (Participant), Stewart, R. (Participant), Devlin, J. (Participant), McPike, R. (Participant), Davidson, P. (Participant) & Miller, B. H. (Participant)
19 May 2025Activity: Participating in or organising an event types › Organiser of special symposia
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Accessibility in the mathematical sciences
Dombi, E. (Organiser), Davidson, P. (Speaker), Miller, A. (Speaker) & McKay, G. (Speaker)
13 Aug 2024Activity: Participating in or organising an event types › Organiser of special symposia