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Research Group: Applied Mathematics and Theoretical Physics

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

Group Overview

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.

Seminars on Applied Mathematics

Recent tweets from Soton Applied Maths

#Gravity talk today! Nadna Rea (Amsterdam) 1200 54/7033 https://t.co/lfCgr6q65Z Details at: https://t.co/2UXwarPsNy https://t.co/RS6VL9tmDv

@SAMTP_Group - Thu 04 May

@SAMTP_Group Professor @rebeccahoyle delivers @LondMathSoc Cartwright Lecture "Transgenerational plasticity & environmental change" 5th ...

@SAMTP_Group - Tue 02 May

10,11,12,13,14, 21, ?, 1001 What's the missing number?

@SAMTP_Group - Sun 19 Feb

Key Facts

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

Publications

Articles

Book Chapters

Greulich, P. (2019). Mathematical modelling of clonal stem cell dynamics. In P. Cahan (Ed.), Computational Stem Cell Biology (pp. 107-129). (Methods in Molecular Biology; Vol. 1975). New York: Humana. DOI: 10.1007/978-1-4939-9224-9_5
Aniceto, I. (2017). Asymptotics, ambiguities and resurgence. In F. Fauvet, D. Manchon, S. Marmi, & D. Sauzin (Eds.), Resurgence, Physics and Numbers (1 ed., Vol. 20, pp. 1-66). (CRM Series). Italy: Ediziono della Normale.
Richardson, G., & Walker, A. (2016). Drift diffusion modelling of charge transport in photovoltaic devices. In Unconventional Thin Film Photovoltaics (pp. 297-331). (Energy and Environment Series). Royal Society of Chemistry. DOI: 10.1039/9781782624066-00297
Van Dooren, T. J. M., Hoyle, R. B., & Plaistow, S. J. (2016). Maternal effects. In Encyclopedia of Evolutionary Biology (pp. 466-452). Oxford, GB: Academic Press. DOI: 10.1016/B978-0-12-800049-6.00051-2
Berry, M. V., & Howls, C. J. (2015). Divergent series: taming the tails. In The Princeton Companion to Applied Mathematics Princeton, US: Princeton University Press.
Dunmur, D. A., Kaczmarek, M., & Sluckin, T. J. (2014). Magnetic properties of liquid crystals. In J. Goodby, P. Collings, T. Kato, C. Tschierske, H. Gleeson, & P. Raynes (Eds.), Handbook of Liquid Crystals (pp. 43-74). Weinheim, DE: Wiley-VCH.
Ridden, S. J., & MacArthur, B. D. (2012). Cell fate regulatory networks. In A. Ma'ayan, & B. D. MacArthur (Eds.), New Frontiers of Network Analysis in Systems Biology (pp. 15-29). Dordrecht, NL: Springer. DOI: 10.1007/978-94-007-4330-4_2
Haynes, P. H., Hoang, V. H., Norris, J. R., & Zygalakis, K. C. (2010). Homogenization for advection-diffusion in a perforated domain. In N. H. Bingham, & C. M. Goldie (Eds.), Probability and Mathematical Genetics. Papers in Honour of Sir John Kingman (pp. 397). (London Mathematical Society Lecture Note Series; Vol. 378). Cambridge, GB: The London Mathematical Society.

Conferences

Datasets

Letters/Editorials

Van De Meent, M. (2017). Self-Force corrections to the periapsis advance around a spinning black hole. Physical Review Letters, 118(011101). DOI: 10.1103/PhysRevLett.118.011101
Greulich, P., & MacArthur, B. (2017). Systems biology of development and differentiation: Editorial overview. Current Opinion in Systems Biology, 5, vi-viii. DOI: 10.1016/j.coisb.2017.10.001
Greulich, P., Waclaw, B., & Allen, R. J. (2012). Mutational Pathway Determines Whether Drug Gradients Accelerate Evolution. Physical Review Letters, 109, 088101-1 to 088101-5.

Reviews

Aniceto, I., Başar, G., & Schiappa, R. (2109). A primer on resurgent transseries and their asymptotics. Physics Reports, 809, 1-135. DOI: 10.1016/j.physrep.2019.02.003
De Rosa, A., Uttley, P., Gou, L. J., Liu, Y., Bambi, C., Barret, D., ... Zhou, X. L. (2019). Accretion in strong field gravity with eXTP. Science China: Physics, Mechanics and Astronomy, 62(2), [29504]. DOI: 10.1007/s11433-018-9297-0
Watts, A. L., Yu, W. F., Poutanen, J., Zhang, S., Bhattacharyya, S., Bogdanov, S., ... Zhou, X. (2019). Dense matter with eXTP. Science China: Physics, Mechanics and Astronomy, 62(2), 1-17. [29503]. DOI: 10.1007/s11433-017-9188-4
Barack, L., & Pound, A. (2018). Self-force and radiation reaction in general relativity. Reports on Progress in Physics, 82(1), 1-46. [016904]. DOI: 10.1088/1361-6633/aae552

Theses

Research Staff

List of all staff members in Applied Mathematics and Theoretical Physics
Staff Member	Primary Position
Roxana Aldea	Research Fellow
Nils Andersson	Professor of Applied Mathematics
Inês Aniceto	EPSRC Early Career Research Fellow
Fatumah Atuhaire	Postgraduate research student
Leor Barack	Professor of Theoretical Physics
Brian Bonney	Postgraduate research student
Elliot Bridges	Postgraduate research student
Oscar Campos Dias	Associate Professor of Applied Mathematics and Theoretical Physics, Director of Service Teaching
Federico Capone	Postgraduate research student
Yuri Cavecchi	Marie Sklodowska Curie Global Fellow
Nicola Courtier	EPSRC Doctoral Prize Research Fellow
Giampaolo D'Alessandro	Associate Professor of Applied Mathematics
Kyriaki Dionysopoulou	Visiting Research Fellow
Joseph R Egan	Postgraduate research student
Joan Garcia Tormo	Postgraduate research student
Philip Greulich	Lecturer
Carsten Gundlach	Professor of Mathematical Physics, Senior Tutor
Masanori Hanada	Senior Research Fellow
Ian Hawke	Associate Professor
Wynn Ho	Visiting Associate Professor
C. J. Howls	Professor of Applied Mathematics and Theoretical Physics, Director of the University Doctoral College
Rebecca Hoyle	Professor of Applied Mathematics, Associate Dean for Research
Soichiro Isoyama	Research Fellow of Theoretical Physics
David Ian Jones	Professor of Mathematical Physics
Ron King	Emeritus Professor
Ivan Korotkin	Senior Research Assistant
Carlos Lobo	Associate Professor
Ben MacArthur	Professor of Applied Mathematics
Carlos Mafra	Research Fellow
Ramon Masachs	Postgraduate research student
Andy O'Bannon	Lecturer in Applied Mathematics and Theoretical Physics, Royal Society Research Fellow
Emma Osborne	Postgraduate research student
Cristina Parigini	Postgraduate research student in applied mathematics
Pantelis Pnigouras	Research Fellow
Adam Pound	Royal Society University Research Fellow
Giles Richardson	Reader in Applied Mathematics
Andreas Schmitt	Associate Professor of Theoretical Physics, Ernest Rutherford Fellow
Abhay Shah	Visiting Research Fellow
Kostas Skenderis	Professor of Theoretical Physics, Head of Applied Mathematics & Theoretical Physics, Director of STAG
Tim Sluckin	Professor of Applied Mathematics
Andrew R.C. Spiers	Postgraduate research student
Marika Taylor	Professor of Theoretical Physics, Head of School
Martina Testori	Postgraduate Research Student
David Turton	Royal Society Tata University Research Fellow
Samuel D. Upton	Postgraduate research student
Maarten van de Meent	Visiting Research Fellow
James Vickers	Professor of Mathematics
Marcella Wijngaarden	Postgraduate research student
Xiaoyi Xie	Research Fellow
Garvin Yim	Postgraduate research student

Related Projects

List of related projects to Applied Mathematics and Theoretical Physics
Related Projects	Status
Asymptotics	Active
Liquid Crystals and Classical Optics	Active
Metamaterials	Active
Ultracold Atoms, Quantum Optics and Quantum Technologies	Active
Asymptotic Methods	Active
Black Holes	Active
Computational Human Sciences	Active
Computational Multiscale Modelling	Active
Computational Physics	Active
Evolutionary Biology and Ecology	Active
Gravitational Waves	Active
Mathematical Electrochemistry	Active
Mathematical Modelling	Active
Molecular and Cellular Biology	Active
Neutron Stars	Active
Mathematical Optical Physics	Active
Physiology and Medicine	Active
Stochastic Processes in Biology	Active
Superfluidity	Active
General Relativity	Active

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