Research group

Mathematical Modelling

Textures in a mesoscopic system made of a nematic liquid crystal doped with nanoparticles.

The modelling group focuses on mathematical modelling across science and engineering, including physics (from the physics of quanta and strings to that of liquid crystals), chemistry (modelling lithium-ion batteries and solar cells), engineering (controlling sound direction), biology, medicine and healthcare (from stem cell population dynamics to medical imaging and healthcare models).

About

The underlying theme of the group is the application of rigorous mathematical models to quantitatively analyse and understand in depth problems in science and engineering. We have a wide range of mathematical expertise and techniques in modelling, from partial differential equations, to agent modelling, dynamical systems, or topological methods. Often, the research take place in close interdisciplinary collaborations. As an example, we have developed a very successful model of lithium-ion batteries by combining classical differential equation modelling with asymptotic analysis and state of the art coding to produce a software package that is both fast and comprehensive.  Other examples are the application of asymptotic analysis in controlling aircraft sounds, stochastic methods in modelling gene expression and agent-based techniques in healthcare.  We apply topological data analysis to model phase transitions of mesoscopic physical systems, and to enhance and up-scale optical imaging in medical applications, as precursors to efficient machine learning and data analysis.

Research highlights

People, projects, publications and PhDs

People

Dr Itamar Yaakov

Lecturer

Research interests

  • Quantum Field Theory
  • String Theory
  • Mathematical Physics
Connect with Itamar

Dr Ivan Korotkin

Senior Research Fellow

Research interests

  • Lithium-ion batteries
  • Numerical methods
  • High-performance computing
Connect with Ivan

Mr Javier Carballo

Research interests

  • Gravity
  • Holography
  • CFTs
Connect with Javier

Mr Jishu Dey

Research interests

  • Dynamic Pattern Recognition
  • Predictive Analysis in Heath Science
  • Application of Advance Machine learning in Finance
Connect with Jishu

Professor Kostas Skenderis

Chair in Mathematical Physics

Accepting applications from PhD students

Connect with Kostas

Professor Leor Barack

Professor of Mathematical Physics

Research interests

  • Classical General Relativity
  • Gravitational waves
  • Black Holes

Accepting applications from PhD students

Connect with Leor

Dr Lu Heng Sunny Yu

Teaching Fellow

Research interests

  • Quantum gravity, Quantum field theory, Relativity, Gravity and Cosmology
  • Mathematics and Physics Education
Connect with Lu Heng Sunny

Dr Michael Kenna-Allison PhD

Teaching Fellow

Research interests

  • Modified Gravity & Cosmology.
  • Dark Energy Theories.
Connect with Michael

Dr Mozhdeh Shiranirad

Research Fellow in Machine Learning

Research interests

  • AI for life science and health-care
  • Programming and Development
  • Data Science
Connect with Mozhdeh

Professor Nils Andersson

Professor of Applied Maths

Research interests

  • General relativistic astrosphysics
  • Black holes
  • Neutron stars

Accepting applications from PhD students

Connect with Nils
Mathematical modelling allows you to see the world as an interconnected whole, with causes and effects, so that we can fulfil knowledgeably our responsibility to sustain it.

Related research institutes, centres and groups

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