Applied Mathematics PhD Projects, Programmes & Scholarships in Manchester

The University of Manchester - Department of Mathematics

The University of Manchester Department of Mathematics

The Department of Mathematics at Manchester is one of the largest Mathematics Departments in the UK and has been home to some of the brightest postgraduate and academic mathematicians. Read more

Funded PhD Programme (Students Worldwide) Maths Research Programme

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Hierarchical Bayesian Model Selection for Inverse Problems in Applied Mathematics

The University of Manchester Department of Mathematics

We often have modelling choices to make when considering an inverse problem, which can have a big impact on the result. It is not always obvious which model might best represent our system. Read more

Supervisor: Prof S Cotter

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

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Connections between Numerical Analysis of Differential Equations and Machine Learning

The University of Manchester Department of Mathematics

Up to two funded PhD projects are available in the Department of Mathematics at the University of Manchester on Connections between Numerical Analysis of Differential Equations and Machine Learning. Read more

Supervisor: Dr C Powell

Year round applications PhD Research Project Funded PhD Project (UK Students Only)

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Modelling and Computation for Radiation Chemistry at Interfaces

The University of Manchester Department of Mathematics

This project is an interdisciplinary collaboration between Mathematics and Chemistry. Real-world applications include safe radioactive wate disposal, plutonium stewardship and radiation based cancer care. Read more

Supervisors: Dr M Webb, Prof F Currell

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

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Organic coatings microstructure: insights from molecular simulations

The University of Manchester Department of Chemical Engineering

Watching paint dry can be fascinating. Painting a room can make it aesthetically pleasing, but paints can do much more than just please the eyes. Read more

Supervisor: Dr F Siperstein

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

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Understanding crack branching via multiscale mathematical methods

The University of Manchester Department of Mathematics

There are many examples of branching in nature. the most celebrated of these is the way that rivers form by the coalescence of many small streams and rivers which build up to form a major river. Read more

Supervisors: Prof A Hazel, Dr T Burnett

10 May 2024 PhD Research Project Competition Funded PhD Project (UK Students Only)

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Hidden singularities in equations of state

The University of Manchester Department of Chemical Engineering

In 1873, van der Waals proposed that the properties of both vapour and liquid could be described by a single mathematical equation [1]. Read more

Supervisor: Prof A Masters

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

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A deep-learning approach to genomic regulation of tissue-specific alternative splicing

The University of Manchester Faculty of Biology, Medicine and Health

Each human gene is a blueprint for multiple distinct RNA transcripts that can be produced in differing quantities based on the localisation of the transcribing… Read more

Supervisors: Dr JE Eales, Prof T Papamarkou

Year round applications PhD Research Project Self-Funded PhD Students Only

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Data Fusion of X-Ray Imaging with Magnetic Induction Tomography

The University of Manchester Department of Mathematics

Identifying materials within sealed containers is of interest to the UK’s continuing stewardship of nuclear material. Read more

Supervisors: Dr S Holman, Dr M O'Toole

Year round applications PhD Research Project Funded PhD Project (Students Worldwide)

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Mathematical and computational modelling of diffusion-driven material ageing

The University of Manchester Department of Mathematics

This project will consider systems of reaction-advection-diffusion equations both computationally and analytically. These find application to modelling corrosion/ageing in materials, where diffusion of a reactant into the bulk material and its subsequent reaction leads to the growth of unwanted corrosion products. Read more

Supervisor: Prof R E Hewitt

31 May 2024 PhD Research Project Funded PhD Project (UK Students Only)

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Understanding the evolution of gene regulatory networks through biophysical modelling and machine learning

The University of Manchester Faculty of Biology, Medicine and Health

The ability to coordinate the expression of genes within a cell is at the heart of life. When and how much of a specific gene is turned into a protein is essential for organisms to respond to their environment and to manage resources. Read more

Supervisors: Dr M Lagator, Prof M Rattray

Year round applications PhD Research Project Self-Funded PhD Students Only

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Condition monitoring and non-destructive testing of dynamic cable for offshore renewable energy industry

The University of Manchester Department of Electronic and Electrical Engineering

Offshore wind energy is central to UK’s ambition of transitioning to a sustainable future electricity grid. The growth in power generation from floating wind turbines is increasingly further away from shore and utilising the floating wind turbine support structures. Read more

Supervisors: Dr T Chen, Prof A Peyton

30 June 2024 PhD Research Project Funded PhD Project (UK Students Only)

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Condition monitoring and non-destructive testing of dynamic cable for offshore renewable energy industry

The University of Manchester Department of Electronic and Electrical Engineering

Offshore wind energy is central to UK’s ambition of transitioning to a sustainable future electricity grid. The growth in power generation from floating wind turbines is increasingly further away from shore and utilising the floating wind turbine support structures. Read more

Supervisors: Dr T Chen, Prof A Peyton

30 June 2024 PhD Research Project Funded PhD Project (UK Students Only)

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Mathematical Modelling of High Energy Density Laser-Substrate Interactions

The University of Manchester Department of Materials

The project is to contribute to a major Ministry of Defence (MOD) research programme intended to develop generation after next technologies for applications in defence and security, and this project will be co-funded by MBDA. Read more

Supervisor: Dr T Flint

Year round applications PhD Research Project Funded PhD Project (UK Students Only)

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Theory and simulation of the ferro-electric nematic phase

The University of Manchester Department of Chemical Engineering

Liquid crystals turn up everywhere. They are the main constituent of displays, they are used in television screens and many health care products are liquid crystalline. Read more

Supervisor: Prof A Masters

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

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Data-driven optimal prediction of bacteria growth

The University of Manchester Department of Mechanical, Aerospace and Civil Engineering

This project is devoted to an AI-based prediction of bacteria growth and its control by antibiotics. In synthetic biology, an improved understanding of bacterial regulatory circuits is required to develop complex biological systems with functionalities beyond existing in nature [1, 2]. Read more

Supervisor: Dr S Utyuzhnikov

Year round applications PhD Research Project Self-Funded PhD Students Only

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Near-wall domain decomposition for turbulence modelling based on RANS-LES

The University of Manchester Department of Mechanical, Aerospace and Civil Engineering

For many years, the resolution of the near-wall turbulent layer has been a hot topic in fluid dynamics. Near-wall turbulence modelling is a computationally expensive problem. Read more

Supervisors: Dr S Utyuzhnikov, Prof D Laurence

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

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Optimal prediction of dynamical systems with incomplete data

The University of Manchester Department of Mechanical, Aerospace and Civil Engineering

Dynamical systems describe a variety of real-life problems related to evolution over time. It is often the case that the problems are so complicated that mathematical models for them either do not exist or are not accurate enough. Read more

Supervisors: Dr S Utyuzhnikov, Prof D Laurence

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

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Data-driven optimal prediction of bacteria growth

The University of Manchester Department of Mechanical, Aerospace and Civil Engineering

This project is devoted to an AI-based prediction of bacteria growth and its control by antibiotics. In synthetic biology, an improved understanding of bacterial regulatory circuits is required to develop complex biological systems with functionalities beyond existing in nature [1, 2]. Read more

Supervisor: Prof R Breitling

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

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Machine Learning approaches to improve the efficiency of fluid dynamics simulations

The University of Manchester Department of Mechanical, Aerospace and Civil Engineering

OpenFOAM and CFD simulations are often computational expensive both in terms of resources and time. CFD codes often use explicit methods that require small time steps of the order of micro-nano seconds. Read more

Supervisor: Dr A Harish

30 June 2024 PhD Research Project Funded PhD Project (UK Students Only)

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Computational Acoustics: Predicting, Simulating and/or Auralising how the world sounds

University of Salford School of Science, Engineering and Environment

Research Group: Acoustics Research Centre

Information on this PhD research area can be found further down this page under the details about the Widening Participation Scholarship given immediately below. Read more

Supervisor: Dr A Hargreaves

Year round applications PhD Research Project Self-Funded PhD Students Only

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Direct simulation of liquid metal nucleate boiling in the presence of magnetic fields

The University of Manchester Department of Mechanical, Aerospace and Civil Engineering

Nucleate boiling occurs when a solid surface is heated above an adjacent liquid’s saturation temperature. In this scenario, vapour forms at preferential nucleation sites on the heated surface. Read more

Supervisor: Dr A Skillen

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

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PBPK modelling of disease-drug interactions using transporter and enzyme biomarker data

The University of Manchester Faculty of Biology, Medicine and Health

Precision dosing strategies require accounting for between-patient variability in pharmacokinetics. Read more

Supervisors: Dr A Galetin, Dr Daniel Scotcher, Prof A Rostami

Year round applications PhD Research Project Self-Funded PhD Students Only

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Thermal hydraulics modelling of low-pressure, light water-cooled Small Modular Reactors

The University of Manchester Department of Mechanical, Aerospace and Civil Engineering

The Low-Pressure Water Reactor (LPWR) is a 300MW(e) pool-type water-cooled Small Modular Reactor (SMR) design in which the nuclear core is located at the bottom of a deep underground shaft instead of inside a pressure vessel. Read more

Supervisor: Dr G Giustini

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

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Improved solution algorithms for efficient and robust Computational Fluid Dynamics modelling

The University of Manchester Department of Mechanical, Aerospace and Civil Engineering

Computational Fluid Dynamics (CFD) simulation software is at the core of present-day engineering practice as well as academic research in virtually any… Read more

Supervisor: Dr G Giustini

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

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Flight mechanics and stability in birds during extreme manoeuvres of take-off and landing

The University of Manchester Department of Mechanical, Aerospace and Civil Engineering

During take-off birds accelerate primarily through from the ground reaction force, with aerodynamics playing a lesser role. In landing things are quite different; birds use mainly aerodynamic drag on the wings to decelerate, with the legs bringing them finally to rest after touchdown. Read more

Supervisor: Dr B Parslew

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

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Modelling the ecology and evolution of microbial communities

The University of Manchester Faculty of Biology, Medicine and Health

From the human gut to deep-sea sediments, microbial communities – or microbiomes – colonize virtually every habitat on earth. These microbiomes are central to ecosystem functioning and to host health, and therefore it is essential that we understand how and why they change over time. Read more

Supervisors: Dr K Coyte, Dr C Knight

Year round applications PhD Research Project Self-Funded PhD Students Only

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Creating sustainable space design pathways: Identifying non-dominated research and development strategies

The University of Manchester Department of Mechanical, Aerospace and Civil Engineering

Across aerospace engineering there is a major challenge in identifying the most appropriate areas to focus design, development and research effort. Read more

Supervisors: Dr P Hollingsworth, Dr H. Crisp, Dr C McGrath, Dr K Smith

28 April 2024 PhD Research Project Competition Funded PhD Project (UK Students Only)

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Paleo-modelling of the Red Sea

The University of Manchester Department of Mechanical, Aerospace and Civil Engineering

The Red Sea is a semi-enclosed basin, with limited connections to the open ocean, with narrow and shallow straits operating a strong control on exchanges between the Red Sea and the wider ocean. Read more

Supervisors: Dr G Lane-Serff, Dr N Mitchell, Dr D Apsley

28 April 2024 PhD Research Project Funded PhD Project (UK Students Only)

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Model-predictive control of brain plasticity for optimal non-invasive brain stimulation

The University of Manchester Faculty of Biology, Medicine and Health

Neuroplasticity is the mechanism that underpins the brain’s ability to learn or recovery from traumatic events, but also its deterioration underlies several Neurodegenerative diseases and mental illnesses. Read more

Supervisors: Dr N Trujillo-Barreto, Dr C Lea-Carnall

Year round applications PhD Research Project Self-Funded PhD Students Only

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We have 30 Applied Mathematics PhD Projects, Programmes & Scholarships in Manchester

Applied Mathematics PhD Projects, Programmes & Scholarships in Manchester

We have 30 Applied Mathematics PhD Projects, Programmes & Scholarships in Manchester

University of Salford

The University of Manchester - Department of Mathematics

Hierarchical Bayesian Model Selection for Inverse Problems in Applied Mathematics

Connections between Numerical Analysis of Differential Equations and Machine Learning

Modelling and Computation for Radiation Chemistry at Interfaces

Organic coatings microstructure: insights from molecular simulations

Understanding crack branching via multiscale mathematical methods

Hidden singularities in equations of state

A deep-learning approach to genomic regulation of tissue-specific alternative splicing

Data Fusion of X-Ray Imaging with Magnetic Induction Tomography

Mathematical and computational modelling of diffusion-driven material ageing

Understanding the evolution of gene regulatory networks through biophysical modelling and machine learning

Condition monitoring and non-destructive testing of dynamic cable for offshore renewable energy industry

Condition monitoring and non-destructive testing of dynamic cable for offshore renewable energy industry

Mathematical Modelling of High Energy Density Laser-Substrate Interactions

Theory and simulation of the ferro-electric nematic phase

Data-driven optimal prediction of bacteria growth

Near-wall domain decomposition for turbulence modelling based on RANS-LES

Optimal prediction of dynamical systems with incomplete data

Data-driven optimal prediction of bacteria growth

Machine Learning approaches to improve the efficiency of fluid dynamics simulations

Computational Acoustics: Predicting, Simulating and/or Auralising how the world sounds

Direct simulation of liquid metal nucleate boiling in the presence of magnetic fields

PBPK modelling of disease-drug interactions using transporter and enzyme biomarker data

Thermal hydraulics modelling of low-pressure, light water-cooled Small Modular Reactors

Improved solution algorithms for efficient and robust Computational Fluid Dynamics modelling

Flight mechanics and stability in birds during extreme manoeuvres of take-off and landing

Modelling the ecology and evolution of microbial communities

Creating sustainable space design pathways: Identifying non-dominated research and development strategies

Paleo-modelling of the Red Sea

Model-predictive control of brain plasticity for optimal non-invasive brain stimulation

We have 30 Applied Mathematics PhD Projects, Programmes & Scholarships in Manchester

Applied Mathematics PhD Projects, Programmes & Scholarships in Manchester

We have 30 Applied Mathematics PhD Projects, Programmes & Scholarships in Manchester

University of Salford

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