Some Current/Recent Professional Activity:

• Vice President of the Edinburgh Mathematical Society (2022-present)
  
• Chair of the Nominating Commitee of the London Mathematical Society (2022-present)
• Member of Mathematical Sciences Panel for REF2021 for the consultation and the assessment phases
  
• Management Committee of GlaMS, a joint PhD training centre between the University of Glasgow, the University of Edinburgh and Heriot-Watt University.
  
• Senior Fellowship of the Higher Education Academy (HEA) and of University of Glasgow Recognising Excellence in Teaching (RET) scheme

Research:

My work is in geometric group theory, an area that lies in the intersection of algebra and low-dimensional topology.  I am particularly interested in mapping class groups of surfaces, including braid groups, and their relationship to automorphism groups of free groups and arithmetic groups. 

• Publications and preprints

Current PhD Students:

• Aitor Azemar (second supervisor)
  
• Philipp Bader (second supervisor)
  
• Riccardo Giannini
  
• Tudur Lewis
  

Former PhD Students:

• Leah Childers; PhD 2010, Louisiana State University
• Neil Fullarton; PhD 2014.
• Alan Logan (also supervised by Stephen J. Pride) ; PhD 2014.
  
• Charalampos Stylianakis; PhD December 2016.  
• Alan McLeay; PhD June 2018.
  
• Luke Jeffreys (primary supervisor Vaibhav Gadre); PhD July 2020.
  

Teaching:

Courses I have taught at Glasgow include Maths 1R (Algebra), Maths 2D, Maths 2P, 3H Algebra, 4H Algebraic and Geometric Topology, 4H Discrete Mathematics, 4H Galois Theory, and 5M Advanced Group Theory.