The University of Southampton
Mathematical Sciences
(023) 8059 2141

Professor Stephen Theriault 


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Professor Stephen Theriault is a pure mathematician 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.





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(s)

Pure Mathematics


Lecturer: MATH2003 Group Theory
Tutor: MATH1050 Calculus I

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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