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mathematics PhD Projects, Programmes & Scholarships

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

Explainable AI for Safety Critical Engineering Systems

University of York

School of Physics, Engineering and Technology

Research Group: Intelligent Systems and Robotics

The University of York is at the forefront of transformative research in data-centric engineering, digital twins, and AI. Our pioneering work is revolutionizing the design of complex systems by harnessing the power of data. Read more

Supervisor: Prof S Perin

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

Large Language models for Maintenance Optimisation

University of York

School of Physics, Engineering and Technology

Research Group: Intelligent Systems and Robotics

The University of York is embarking on transformative research in data-centric engineering, digital twins, and AI, revolutionizing the way systems are designed and operated. Read more

Supervisor: Prof S Perin

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

Adaptive Information Allocation in Machine Learning

University of Birmingham

School of Computer Science

Stochastic gradient methods represent a key computational engine of large-scale modern machine learning. To estimate gradient directions, they sample training data uniformly at random, independently of their informational value. Read more

Supervisor: Prof A Kaban

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

Neuromorphic visual sensing and computing

Kingston University

Faculty of Engineering, Computing and the Environment

Neuromorphic vision sensors enable the acquisition of scenes with limited energy requirements and low data rate, only acquiring information on what changes in the scene, with a behaviour similar to the one of the human eye. Read more

Supervisor: Prof M Martini

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

Effects of neighborhood species and functional trait diversity on tree growth

Xi’an Jiaotong-Liverpool University

Academy of Life and Natural Sciences

Tree growth responses to climate change profoundly affect the carbon budget of forest ecosystems and their climate feedback effects. Read more

Supervisor: Prof X Wu

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

Effects of Biodiversity on Tree Growth Resilience to Compound Extreme Climate Events

Xi’an Jiaotong-Liverpool University

Academy of Life and Natural Sciences

Both the intensity and frequency of compound extreme climate events (e.g., compound drought-heatwave events) are increasing dramatically along with climate warming. Read more

Supervisor: Prof X Wu

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

Unraveling Brain Complexity with fNIRS and Modelling Approaches

University of Birmingham

School of Computer Science

Brain function arises from a highly complex network of interconnected processes that we still don’t fully understand. Read more

Supervisor: Dr R Mesquita

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

Ionospheric Modelling for GNSS, Precise Point Positioning, PNT and Space Weather Resilience

University of Birmingham

Department of Electronic, Electrical and Systems Engineering

Modern society depends on Global Navigation Satellite Systems (GNSS) such as GPS and Galileo. These systems support navigation, timing, telecommunications, transport, surveying, finance, energy networks, emergency response, agriculture and autonomous systems. Read more

Supervisor: Prof S Elvidge

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

Thermosphere Modelling for Satellite Drag, Collision Avoidance and Space Weather Resilience

University of Birmingham

Department of Electronic, Electrical and Systems Engineering

Low Earth orbit is becoming increasingly crowded. Scientific spacecraft, Earth observation missions, communication satellites and large commercial constellations all depend on accurate knowledge of where satellites are now and where they will be in the future. Read more

Supervisor: Prof S Elvidge

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

Ionospheric, Auroral and Ocean Clutter Models for Monostatic and Bistatic HF Sensing Systems

University of Birmingham

Department of Electronic, Electrical and Systems Engineering

High-frequency (HF) sensing is one of the few technologies able to detect objects and characterise environments far beyond the horizon. Read more

Supervisor: Prof S Elvidge

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

Data-Physics Dual-Driven (Hybrid PINN) Modelling for Next-Generation Aerospace Structural Dynamics

University of Birmingham

School of Metallurgy & Materials

About the Project. Are you passionate about the fusion of Artificial Intelligence and structural dynamics? Do you want to contribute to cutting-edge research that will transform aircraft structural health monitoring and real-time digital twins?. Read more

Supervisor: Dr J Wu

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

Real-Time Urban Wind Simulation and Data Reduction for Environmental Hazard Assessment

University of Salford

School of Science, Engineering and Environment

This PhD project will investigate fast computational approaches for modelling urban airflow and environmental hazard assessment in complex city environments. Read more

Supervisor: Dr MCS Camps Santasmasas

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

Hybrid Cellulose–Metal Foam Phase Change Composites for Thermal Energy Storage (LANDINIS_U27EMP)

University of East Anglia

School of Engineering

Primary Supervisor. Dr. Stefano Landini. Phase change materials (PCMs) offer compact, temperature-targeted thermal energy storage but suffer from leakage during melting, low thermal conductivity and limited mechanical robustness, which restrict their integration into practical systems. Read more

Supervisor: Dr S Landini

31 March 2027 PhD Research Project Self-Funded PhD Students Only

Energy System Digitalisation

University of Birmingham

Department of Electronic, Electrical and Systems Engineering

1. Project Overview. Emerging smart grid technologies including artificial intelligence, distributed ledger, and data analytics drive the decarbonisation of energy systems with the least costs. Read more

Supervisor: Dr WH Hua

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

A Nature-Inspired Approach Towards the Development of an Intrinsically-Auxetic Polymer

Sheffield Hallam University

Engineering and Built Environment

Please note, there is no funding attached to this project. All tuition fees and any other associated costs (including bench fees) must be financed by the student. Read more

Supervisors: Dr SM Mandhani, Prof LS Susmel, Dr EK Kordatos

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

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