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Mathematics and applied mathematics

intro

We are a research group in pure and applied mathematics. We also take part in multi-disciplinary research both across the School of Computing and Engineering and with collaborators in the UK and abroad.
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Our core research areas within mathematics are differential geometry, non-linear dynamics and chaos, stochastic differential equations and modelling. In addition, we are engaging in research activities in electrical, civil and biomedical engineering and are closely affiliated with The Faringdon Research Centre for Non-Destructive Testing and Remote Sensing.

We always welcome suggestions for collaborations if you believe that our expertise could be of relevance to you. If you are thinking of pursuing a research degree in mathematics or applied mathematics as part of our team, please find out more by following the link below.

Find out more about our maths Phd research opportunities

Group Members

Postdocs:

  • Dr Benjamin Aslan, LMS Early Career Fellow

Research students:

  • Bhairavi Premnath (Applied Mathematics)
  • Jonathan Leung (Pure Mathematics)
  • Mansi Patel  (Educational Mathematics)

Current research projects

  • Toric geometry of exceptional holonomy manifolds.
  • Higher-dimensional gauge theory.
  • Machine Learning techniques and optimisation in the context of drug discovery.
  • Nonlinear Dynamics and Chaos with applications in Power Systems.
  • Educational Mathematics 
  • Stochastic behaviour of financial derivatives

  • Recent publications and preprints

    • Jason D. Lotay and Thomas Bruun Madsen, "Instantons on flat space: Explicit constructions". Preprint: arXiv:2204.11517 [math.DG], 2022.
    • Rishi Jagdev, Thomas Bruun Madsen and Paul Finn, ""On the ability of machine learning methods to discover novel scaffolds". Preprint, 2022
    • Thomas Bruun Madsen and Andrew Swann, "Toric Geometry of Spin(7)-manifolds". Int. Math. Res. Not. IMRN, 299 (3), 16511-16529, 2021.

Find out more

  • Research Centres and Groups

    Find out about our multi-disciplinary areas of expertise, PhD research, and teaching.

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  • Research impact

    Learn how our PhD research has helped communities locally, nationally and internationally.

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  • The Graduate School

    If you are interested in studying for a PhD or Professional Doctorate, the Graduate School is here to support your research.

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