The University of Southampton
Mathematical Sciences

Research Group: Applied Mathematics

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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.

String Theory and Holography. String theory is a theoretical framework that unifies all particles and forces in Nature, and we have a wide range of interests in this field.

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




Book Chapters



Research Staff

Staff MemberPrimary Position
Nils AnderssonProfessor of Applied Mathematics
Fatumah AtuhairePostgraduate research student
Leor Barack Professor and ERC Fellow
Brian BonneyPostgraduate research student
Marco M. CaldarelliVisiting Research Fellow
Oscar Campos DiasErnest Rutherford Fellow and Lecturer
Federico CaponePostgraduate research student
Giampaolo D'AlessandroAssociate Professor of Applied Mathematics
Kyriaki DionysopoulouResearch Fellow
Joseph R EganPostgraduate research student
Joan Garcia TormoPostgraduate Research Student
Philip GreulichLecturer
Carsten GundlachProfessor of Mathematical Physics
Alice HarpolePostgraduate research student
Ian HawkeAssociate Professor
Wynn HoAssociate Professor
C. J. HowlsHead of Applied Mathematics
Rebecca HoyleProfessor of Applied Mathematics
David Ian JonesProfessor
Ron KingEmeritus Professor
Carlos LoboAssociate Professor
Ben MacArthurProfessor
Ramon MasachsPostgraduate research student
Andy O'BannonLecturer & Royal Society University Research Fellow
Emma OsbornePostgraduate Research Student
Konstantinos PalapanidisPostgraduate research student
Olga PapadoulakiResearch Fellow
Cristina PariginiPostgraduate research student in applied mathematics
Pantelis PnigourasResearch Fellow
Adam PoundRoyal Society University Research Fellow
Giles RichardsonReader
Andreas SchmittErnest Rutherford Fellow
Abhay ShahVisiting Research Fellow
Kostas SkenderisProfessor
Tim SluckinProfessor of Applied Mathematics
Marika TaylorProfessor of Theoretical Physics
Martina TestoriPostgraduate Research Student
David TsangResearch Fellow
David TurtonRoyal Society Tata University Research Fellow
Maarten van de MeentVisiting Research Fellow
James Vickers Professor of Mathematics and Director of the University Doctoral College
Marcella WijngaardenPostgraduate Research Student
Garvin YimPostgraduate Research Student

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