The University of Southampton
Mathematical Sciences
(023) 8059 2141

Professor Stephen Theriault 

Professor and Head of Pure Mathematics

Professor Stephen Theriault's photo
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Professor Stephen Theriault is a Professor in Pure Mathematics within Mathematical Sciences at the University of Southampton. He specialises in homotopy theory, a branch of algebraic topology, which is concerned with the classification of topological spaces up to continuous deformation. He has over 50 research publications and served as the topology editor of the journal The Proceedings of the Edinburgh Mathematical Society. He is now the journal's convenor.





2012 - date Reader, University of Southampton

2002 - 12 Lecturer, Senior Lecturer, University of Aberdeen

1999 - 02 Whyburn Postdoctoral Fellow, University of Virginia

1998 - 99 NSERC Postdoctoral Fellow, MIT

1997 - 98 University of Illinois at Chicago

1997 PhD Mathematics, University of Toronto

1991 BSc Mathematics, Dalhousie University





Research interests

Unstable homotopy theory and its applications to other areas of mathematics and physics. I am particularly interested in the homotopy theory of fundamental spaces, such as spheres, Moore spaces and Lie groups. I am also interested in using methods from homotopy theory to solve problems that arise in other areas; this includes studying moment-angle complexes and polyhedral products in toric topology, complements of coordinate subspace arrangements in combinatorics, gauge groups in mathematical physics, and moduli spaces in algebraic geometry.

Research projects: There are several excellent problems which are suitable for a PhD thesis and subsequent research in the areas described above, particularly in the applications of homotopy theory to other areas of mathematics and physics. If you are interested in studying for a PhD in one of these areas, please contact me.

Research group

Pure Mathematics


Book Chapter

    Theriault, S. (2018). Toric homotopy theory. In A. Darby, J. Grbic, Z. Lu, & J. Wu (Eds.), Combinatorial and Toric Homotopy : Introductory Lectures (Vol. 35, pp. 1-66). (Lecture Notes Series, Institute for Mathematical Sciences). World Scientific Publishing Co.. DOI: 10.1142/9789813226579_0001

MATH2003 Group Theory

MATH6137 Homotopy and Homology

Professor Stephen Theriault
Building 54 Mathematical Sciences University of Southampton Highfield Southampton SO17 1BJ

Room Number:54/8017

Telephone:(023) 8059 2141

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