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mathematics PhD Projects, Programmes & Scholarships

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

Wave Dynamics on Complex Networks: From Graph Theory to Machine Learning (PROMENTD_U27EMPSFPF)

University of East Anglia

School of Mathematics

Primary Supervisor. Dr. Davide Proment. Come and join the research group of Dr Davide Proment at the University of East Anglia (UK, Norwich) to investigate how nonlinear waves propagate, interact, and self-organise on complex networks and graph structures. Read more

Supervisor: Dr D Proment

30 November 2026 PhD Research Project Self-Funded PhD Students Only

Formalising the Local Langlands Correspondence for GL₂(F) in Lean (BIRKBECKC_U27EMPSFPF)

University of East Anglia

School of Mathematics

Primary Supervisor. Dr. Christopher Birkbeck. 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. Read more

Supervisor: Dr CB Birkbeck

30 November 2026 PhD Research Project Self-Funded PhD Students Only

Gaussian Risk Model and Its Applications in Finance

Xi’an Jiaotong-Liverpool University

School of Mathematics and Physics

The Gaussian risk model is a foundational tool in risk assessment and management in the realm of finance. This proposal aims to delve into the theoretical foundations of the Gaussian risk model and explore its practical applications in the field. Read more

Supervisor: Dr L Bai

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

New mathematical models to make biology predictable

Queensland University of Technology

School of Mathematics

We seek a PhD student in applied mathematics to join the Queensland University of Technology node of MACSYS. MACSYS is the Australian Research Council Centre of Excellence for the Mathematical Analysis of Cellular Systems. Read more

Supervisor: Prof M Simpson

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

Extremal graph theory

University of Birmingham

School of Mathematics

Extremal graph theory is one of the most active and dynamic branches of combinatorics. The fundamental goal of the area is to understand what conditions force a graph to contain some substructure. Read more

Supervisors: Dr A Treglown, Dr R Mycroft

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

Numerical Algorithms for Molecular Systems and Data Science

University of Birmingham

School of Mathematics

Details: . Stochastic differential equations (SDEs) are widely used in science and engineering in order to model systems where random effects play a significant role. Read more

Supervisor: Dr X Shang

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

Numerical Algorithms and Analysis for Deterministic and Stochastic Systems

University of Birmingham

School of Mathematics

Details. Complex systems in biology, chemistry, and physics are often modelled using ordinary/partial/stochastic differential equations. Read more

Supervisors: Dr X Shang, Dr H Duong

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

PhD Studentship in Aeronautics: Real-time data assimilation for multi-physics flows (AE0095)

Imperial College London

Department of Aeronautics

Every model is wrong, and in engineering the errors matter. From aircraft wings to wind turbines and combustors, engineering systems are governed by fluid flows that interact with other physical processes, such as structural vibrations, acoustics and chemical reactions. Read more

Supervisor: Dr AN Nóvoa

4 January 2027 PhD Research Project Funded PhD Project (Students Worldwide)

GW4+ DLTP PhD Project - How does the atmosphere above shape the weather below?

University of Bath

Department of Electronic & Electrical Engineering

This project is in competition for funding from the GW4+ Doctoral Landscape Training Partnership (DLTP) for entry in September 2027. Read more

Supervisor: Prof C Wright

7 January 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

BISCI IDLA: Decoding the skin ecosystem: An integrated computational framework for pH-driven skin microbiome competition and barrier homeostasis

Imperial College London

The skin microbiome plays a critical role in maintaining skin health through interactions between microbial communities, the skin barrier, and the immune system. Read more

Supervisors: Dr R Tanaka, Dr JJ Jaworska

23 November 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

BISCI IDLA: Decoding the skin ecosystem: An integrated computational framework for pH-driven skin microbiome competition and barrier homeostasis

Procter & Gamble

The skin microbiome plays a critical role in maintaining skin health through interactions between microbial communities, the skin barrier, and the immune system. Read more

Supervisors: Dr R Tanaka, Dr JJ Jaworska

23 November 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

When nutrients turn toxic: how metals shape microbial coexistence

Durham University

Department of Biosciences

Every living ecosystem on Earth, from the human gut to the open ocean, is a community of species living side by side. Knowing how and why these ecosystems form, survive, change, or collapse, is key to spotting problems early and making smarter decisions to protect the health of the planet. Read more

Supervisor: Dr K Djoko

12 January 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Quiet Efficiency: reducing wind noise for low drag cars (with Jaguar Land Rover)

University of Bristol

EPSRC Centre for Doctoral Training in Sustainable Sound Futures

High-fidelity numerical simulation of vehicle aerodynamics and wind noise with experimental validation. Reducing aerodynamic drag helps cars use less energy, but changes to vehicle shape can also influence wind noise and passenger comfort. Read more

Supervisors: Dr M Jadidi, Prof M Azarpeyvand

11 January 2027 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Foundations of agentic computational imaging

Heriot-Watt University

School of Engineering & Physical Sciences

The BASP Laboratory at Heriot-Watt University, Edinburgh, led by Professor Yves Wiaux, invites applications for a fully funded PhD to develop the theoretical foundations of next-generation imaging algorithms at the intersection of optimisation theory, deep learning and agentic AI. Read more

Supervisor: Prof Yves Wiaux

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

Bridging Quasi-Monte Carlo and Machine Learning: Theory and Algorithms

University of St Andrews

School of Mathematics and Statistics

Research Group: Machine Learning and Statistics Methodology

Quasi-Monte Carlo (QMC) methods and machine learning (ML) are two important areas of computational mathematics, with growing opportunities for interaction. Read more

Supervisors: Dr NK Kirk, Prof L Thomas

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

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