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 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

- 4 Article

## 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

## 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