Computational Mathematics
Manchester Metropolitan University
About the Project Overview Quantum computers are on the horizon that could break the encryption protecting our banks, hospitals, and national infrastructure. This fully funded, part-time PhD studentship offers the chance to help build the next generation of communication security, before that threat arrives.
- Location
- Manchester, United Kingdom
- Deadline
- 4 October 2026
- Funding
- UK Students; £31,236 - please see advert
Computational Mathematics
Manchester Metropolitan University
About the Project Overview Coastal flooding is becoming more frequent and severe due to climate change, rising sea levels, and increased storm intensity. Saltmarsh restoration, widely promoted as a nature-based solution, can reduce wave energy and flood risk while also supporting biodiversity and carbon storage. However, there is limited understanding of how effectively restored saltmarshes provide coastal protection compared with natural systems.
- Location
- Manchester, United Kingdom
- Deadline
- 4 October 2026
- Funding
- Funded PhD Project (UK Students Only)
Computational Mathematics
Manchester Metropolitan University
About the Project Overview Today’s AI language tools work impressively well in English, and remarkably poorly in most of the world’s 7,000 languages. The reason is simple. These systems learn from vast amounts of digital text, and for the majority of languages, that text does not exist. The result is a widening digital divide, in which billions of speakers are locked out of technologies the rest of us take for granted.
- Location
- Manchester, United Kingdom
- Deadline
- 4 October 2026
- Funding
- Funded PhD Project (UK Students Only)
Computational Mathematics
Manchester Metropolitan University
About the Project Overview Artificial intelligence is creating new opportunities to make games more accessible and inclusive for everyone. This PhD project will explore how AI can support players with visual impairments by enhancing understanding, navigation, and interaction within game worlds. Potential areas include dynamic guidance systems, adaptive game content, and personalised accessibility features that respond to players’ needs in real time.
- Location
- Manchester, United Kingdom
- Deadline
- 4 October 2026
- Funding
- Funded PhD Project (UK Students Only)
Computational Mathematics
Manchester Metropolitan University
About the Project Overview Can AI learn to reason like a human - and recognise when it isn’t sure? This PhD tackles that challenge in a high-impact setting: interpreting 3D digital models of rock formations built from drone and laser-scan data. These models underpin decisions impacting net-zero ambitions, yet interpretation remains slow and subjective.
- Location
- Manchester, United Kingdom
- Deadline
- 4 October 2026
- Funding
- Funded PhD Project (UK Students Only)
Computational Mathematics
Manchester Metropolitan University
About the Project Overview Unmanned Aerial Vehicle (UAV) swarms are becoming increasingly important for defence, emergency response, infrastructure inspection, and future autonomous systems. These swarms can use federated learning (FL), where multiple UAVs collaboratively train artificial intelligence models without sharing raw mission data.
- Location
- Manchester, United Kingdom
- Deadline
- 4 October 2026
- Funding
- Funded PhD Project (UK Students Only)
Computational Mathematics
Loughborough University
About the Project Random Matrix Theory (RMT) arose in the 1950s out of a need for a model to predict the spectral behaviour of systems that were too complex to describe precisely.
- Location
- Loughborough, United Kingdom, United Kingdom
- Deadline
- 31 October 2026
- Funding
- Self-Funded PhD Students Only
Computational Mathematics
University of East Anglia
This PhD project, based at our Norwich campus, offers a unique opportunity to work at the confluence of number theory, representation theory, and formal mathematics. You will undertake a single, ambitious research project: to begin the formalisation of the local Langlands correspondence for GL₂(F) in the Lean interactive theorem prover by leveraging AI agents.
- Location
- Norwich, United Kingdom
- Deadline
- 30 November 2026
- Funding
- Self-funded Students; Not Specified
Computational Mathematics
The University of Manchester
About the Project High-dimensional computations are ubiquitous in science and engineering, often arising from models with numerous parameters. For instance, uncertainty quantification (UQ) in fields such as climate modelling, nuclear reactor design, and finance often involves models with thousands of variables, posing significant mathematical challenges.
- Location
- Manchester, United Kingdom, United Kingdom
- Deadline
- Year-round applications
- Funding
- Funded PhD Project (UK Students Only)
Computational Mathematics
Kingston University
About the Project The need for robust information security has never been more urgent, given the proliferation of digital data and sophisticated cyber-attacks. Steganography, the art of concealing information within seemingly benign media, has emerged as a powerful tool for secure communication. However, traditional steganographic techniques, while effective, are becoming increasingly vulnerable to modern steganalysis methods.
- Location
- London, United Kingdom, United Kingdom
- Deadline
- Year-round applications
- Funding
- Self-Funded PhD Students Only