About
We're a team of 30 academics and postgraduate students, and our global network includes groups in the UK, the EU, North America and East Asia.
We are internationally recognised as research leaders in several fields, including geometric group theory, non-commutative geometry and analysis, algebraic topology and applied topology.
The Centre for Geometry, Topology, and Applications has created a focal point for a large part of this activity.
Our research can be broadly divided into several categories:
- geometric group theory
- topology
- non-commutative geometry
- topological data analysis
- semigroup theory
- algebraic geometry
We welcome applications for PhD study in one of our areas of expertise. Please have a look at our research areas and projects, and do not hesitate to contact our staff for more information.
Seminars
View our seminars:
Postgraduate pure mathematics seminar
Disorder is Good – Taming disorder in self-assembled materials with topology
Instead of fighting disorder, we should identify structures that are ordered enough to perform the required function.
We have combined cutting edge experiments with breakthrough methods from topological data analysis to quantify emerging structure in apparently disordered nano-assemblies and classify their response to light. We aim to design a new generation of controllable nanosystems at a fraction of the cost of the current methods.
People, projects, publications and PhDs
People
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Professor Jim Anderson
Professor of MathematicsHyperbolic space and its isometries
Accepting applications from PhD studentsEmail: J.W.Anderson@soton.ac.ukTel: +44 23 8059 5138Address: B54, West Highfield Campus, University Road, Southampton, SO17 1BJ -
Mx Luke Waite
Hyperbolic Geometry
Fuchsian Groups
Email: L.Waite@soton.ac.uk -
Professor Nansen Petrosyan
ProfessorGeometric Group Theory
Topology
Algebra
Geometry
Email: N.Petrosyan@soton.ac.ukTel: +44 23 8059 5111Address: B54, West Highfield Campus, University Road, Southampton, SO17 1BJ -
Doctor Nick Wright
Associate ProfessorCoarse geometry
Non-commutative geometry
The Baum-Connes conjecture
Accepting applications from PhD studentsEmail: N.J.Wright@soton.ac.ukTel: +44 23 8059 5128Address: B54, West Highfield Campus, University Road, Southampton, SO17 1BJ -
Emeritus Professor Peter Kropholler
Splittings of groups and group actions on trees. Ends of groups.
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Professor Stephen Theriault
Professor of MathematicsThe homotopy theory of spheres and Moore spaces.
Accepting applications from PhD studentsEmail: S.D.Theriault@soton.ac.ukTel: +44 23 8059 2141Address: B54, West Highfield Campus, University Road, Southampton, SO17 1BJ -
Doctor Vesna Perisic
Principal Teaching FellowPedagogical Research
Assessment and Feedback
Email: V.Perisic@soton.ac.ukTel: +44 23 8059 5127Address: B54, West Highfield Campus, University Road, Southampton, SO17 1BJ
My research interests are algebraic geometry, algebraic K-theory, algebraic number theory and homological algebra.
My research is in homotopy theory, a branch of algebraic topology that studies continuous deformations. I am interested in problems fundamental to the area and applications of homotopy theory to other areas of mathematics such as Lie groups, gauge groups, manifolds and toric topology.
I use pure mathematical tools from graph theory and topology in interdisciplinary research motivated by real-world applications.
