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Mathematical Sciences

Research Group: Applied Mathematics

Currently Active: 

The research focus of Applied Mathematics is on Mathematical Modelling and Mathematical Physics

Group Overview

Mathematics on large scale

We carry out internationally leading research in a wide range of areas relating to the Mathematics of Nature. Our main focus is on Mathematical Modelling and Mathematical Physics, and we engage in and collaborate on a wide range of exciting modern problems.

Our research activities form a key part of the new Southampton Theory Astrophysics and Gravity (STAG) Research Centre, Southampton Initiative for Mathematical Modelling (SIMM), the EPSRC funded Centre for Nanostructured Photonic Metamaterials in Southampton and the University-wide activities on Quantum Coherence.


The group has an active base of research students and welcomes applications for postgraduate study in any of its fields of interest: more information may be found in the Postgraduate Opportunities section of our website.

Enquiries concerning joint or interdisciplinary research and possible research topics are also very welcome.

You can apply for the PhD programme via this link.

Research groups:

Computational Applied Mathematics. We model biological, engineering and physical systems by combining careful mathematical analysis and asymptotic expansions to powerful computational methods.

Holography and string theory.

Mathematical Optical Physics. Research covers a wide range of areas, from fundamental wave phenomena and quantum system to liquid crystals, ultracold atomic gases, quantum optics and nanofabricated metamaterials.

Mathematics in Medicine and Biology. We use mathematics to gain insight into questions in evolutionary biology, physiology, molecular and cell biology and are particularly interested in the roles of stochasticity and networks.

Relativistic Astrophysics. One of the largest classical relativity groups anywhere in the world, our research is focused on Einstein's classical theory of General Relativity and its applications to astrophysics, with particular interest in the modelling of gravitational-wave sources and the dynamics of curved spacetime, black holes and neutron stars.

Key Facts

Research projects include a variety of topics from neutron stars to superfluids and to mathematical modelling


Key Publication(s)


Research Staff

Staff MemberPrimary Position
Nils AnderssonHead of Applied Mathematics
Gregory AshtonPostgraduate research student
Andy AspdenLecturer of Applied Mathematics
Leor Barack Professor and ERC Fellow
Tom BennettPostgraduate research student
Magnus BorghResearch Fellow
Marco M. CaldarelliResearch Fellow
Marta ColleoniPostgraduate research student
Giampaolo D'AlessandroAssociate Professor of Applied Mathematics
Emma DeanPostgraduate Research Student
Oscar DiasErnest Rutherford Fellow and Lecturer
Joan Garcia TormoPostgraduate Research Student
Stuart GeorgePostgraduate Research Student
Vanessa GraberPostgraduate research student
Carsten GundlachProfessor
Alice HarpolePostgraduate research student
Ian HawkeAssociate Professor
Wynn HoLecturer
C. J. HowlsProfessor
Rebecca HoyleProfessor of Applied Mathematics
Guy JacobsPostgraduate research student
David Ian JonesReader
Ron KingEmeritus Professor
Carlos LoboAssociate Professor
Ben MacArthurAssociate Professor
Ramon MasachsPostgraduate research student
Konstantinos PalapanidisPostgraduate research student
Dawei PangMarie Curie Research Fellow
Stuart J PatchingPhD Student
Adam PoundSenior Research Fellow
Giles RichardsonReader
Sonya RiddenPostgraduate research student
Janne RuostekoskiProfessor
Marina SamoylovaResearch Fellow
Andreas SchmittErnest Rutherford Fellow
Kostas SkenderisProfessor
Tim SluckinProfessor of Applied Mathematics
Marika TaylorProfessor of Theoretical Physics
Maarten van de MeentResearch Fellow
James Vickers Professor of Mathematics and Director of the University Doctoral College
Derek WatsonPostgraduate research student
Benjamin WithersResearch Fellow
Konstantinos ZygalakisVisiting Lecturer

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