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mathematics PhD Projects, Programmes & Scholarships

We have 1,058 mathematics PhD Projects, Programmes & Scholarships

Multimodal Media Analysis and Explainable Decision Support for Rural Communication and Governance in China: Evidence from Hollowed Villages

Xi’an Jiaotong-Liverpool University

School of Mathematics and Physics

To cultivate research talents with global leadership, interdisciplinary innovation capabilities, and international research collaboration capabilities… Read more

Supervisor: Dr L Zong

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

Robust Bayesian experimental design and inference

University of Birmingham

School of Mathematics

Statistical methods are leveraged in many scientific applications to. specify a data collection practice (experimental design), draw conclusions from sparse and noisy data (inference), and assess uncertainty about those conclusions (uncertainty quantification). Read more

Supervisor: Dr S Sloman

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

Research on thermoelectric parameter decoupling and key technique for high efficient and orderly heat-to-electricity conversion

Xi’an Jiaotong-Liverpool University

School of Mathematics and Physics

To cultivate research talents with global leadership, interdisciplinary innovation capabilities, and international research collaboration capabilities… Read more

Supervisor: Dr CX Xuan

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

Tomographic Inequalities

University of Birmingham

School of Mathematics

The main objectives in this project are tomographic operators such as X-ray transform and Radon transform. By investigating the Lp-boundedness properties, we will study the smoothing properties of these operators. Read more

Supervisor: Dr S Nakamura

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

Analysis of partial differential equations

University of Birmingham

School of Mathematics

This PhD project will investigate partial differential equations arising from kinetic models, with a particular focus on variational methods. Read more

Supervisor: Dr H Duong

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

Mathematical biology and population dynamics

University of Birmingham

School of Mathematics

This PhD project will develop mathematical models to investigate population dynamics in biological systems. Read more

Supervisor: Dr H Duong

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

Tabletting of powders

The University of Manchester

Department of Mathematics

This PhD project aims to develop a virtual tabletting laboratory by creating computational models that capture the multiscale mechanics of die compaction — from individual crystal behaviour to the formation of solid pharmaceutical tablets. Read more

Supervisor: Dr A Thornton

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

Multi-Agent Reinforcement Learning for Embodied Cooperative Agents

University of Bristol

School of Engineering Mathematics and Technology

Multi-agent reinforcement learning (MARL) studies how multiple learning agents behave when they coexist in a shared environment. When several agents learn at the same time, open problems arise. Read more

Supervisor: Dr KFC Chu

31 December 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Bayesian Modeling of High Dimensional Structural Data

The University of Manchester

Department of Mathematics

In many applications, such as biological sciences, social science, and engineering we encounter high-dimensional observations. Bayesian approach can provide a flexible modeling framework for underlying structures in high dimension such as underlying covariance structure, conditional dependency graphs etc. Read more

Supervisor: Dr N Guha

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

Unified Theory for Reinforcement Learning

Xi’an Jiaotong-Liverpool University

School of Mathematics and Physics

The main issue addressed in reinforcement learning is to establish a probability statistical model that progressively approximates the actual system based on past observations and learning of parameters, and simultaneously obtain the optimal decision algorithm under the so-far learned model. Read more

Supervisor: Dr K Liu

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

Simulating sustainable packaging

The University of Manchester

Department of Mathematics

This project focuses on developing advanced simulation techniques to optimise the sustainable packaging of granular and complex fluid materials through virtual prototyping. Read more

Supervisor: Dr A Thornton

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

Calibration methodologies for industrial/geophysics granular materials

The University of Manchester

Department of Mathematics

This PhD project addresses the "calibration problem" in particulate continuum models and particle simulations. Specifically, it focuses on developing robust methodologies for selecting and parameterising contact models, a crucial but challenging task due to the lack of standardised measurement techniques. Read more

Supervisor: Dr A Thornton

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

Multiscale modelling of polymer network constitutive behaviour

The University of Manchester

Department of Mathematics

Fibre networks are ubiquitous in both natural and engineered materials. They are manufactured for many reasons. from the nonwoven fabrics used for insulation, clothing and filtration to the rubberlike polymer-based materials used in applications ranging from plumbing to transport. Read more

Supervisors: Dr T Shearer, Dr G Jones, Prof O Jensen

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

How does sleep affect your chance of brain disease?

University of Bristol

School of Engineering Mathematics and Technology

Why we sleep and what happens to the brain during sleep remain very open questions. Read more

Supervisor: Prof SP Payne

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

Modelling stroke progression and treatment in the brain

University of Bristol

School of Engineering Mathematics and Technology

Ischaemic stroke, the disease that occurs when a clot blocks a large blood vessel in the brain, causing brain tissue to die, remains a common cause of death and a leading cause of disability. Read more

Supervisor: Prof SP Payne

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

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