Peter Davidson

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.

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.

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.

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