Professor Stephen Theriaault is a homotopy theorist. He began research studying the homotopy theory around spheres and Moore spaces and this remains a keen interest.
Stephen's research has evolved over time to also consider how homotopy theory can be applied to inform on properties of objects that arise in various areas of mathematics, such as Lie groups, gauge groups, manifolds and polyhedral products.
- The homotopy theory of spheres and Moore spaces.
- Applications of homotopy theory to Lie groups, gauge groups and manifolds.
- Polyhedral products and toric topology.
The homotopy theory of manifolds, via loop space decompositions.
Determining the homotopy types of polyhedral products associated to select families of simplicial complexes.
Classifying the homotopy types of gauge groups.
Current PhD Students
Stephen currently teaches MATH1059 Calculus and supervise BSc and MMath projects.
Professor of Pure Mathematics, University of Southampton, 2015-present
Reader in Mathematics, University of Southampton, 2012-15
Senior Lecturer, University of Aberdeen, 2006-12
Lecturer B, University of Aberdeen, 2002-06
Whyburn Postdoctoral Fellow, University of Virginia, 1999-2002
Postdoctoral Fellow, University of Illinois at Chicago, 1998-99
Postdoctoral Fellow, MIT, 1997-98
PhD and MSc, University of Toronto, 1991-97
BSc, Dalhousie University, 1987-91