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mathematics PhD Projects, Programmes & Scholarships

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

Cybersecurity in Next Generation Connected Infrastructures: From 5G and 6G to IoT and Digital Twins

University of Portsmouth

School of Computing, Mathematics and Physics (SCMP)

The convergence of 5G and 6G networks, the Internet of Things, edge computing, digital twins, and cyber physical systems is reshaping the global cybersecurity landscape at an unprecedented pace. Read more

Supervisors: Dr N Anjum, Dr K Kanta, Dr M Adda

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

Intelligent Multimodal Sensing and Motion Intention Recognition for Adaptive Human-Robot Collaboration

University of Portsmouth

School of Computing, Mathematics and Physics (SCMP)

Applications are invited for a self-funded, 3 year full-time or 6 year part-time PhD project. The PhD will be based in the School of Computing and will be supervised by Dr Dalin Zhou, Dr Xin Zhang, and Dr Xia Han. Read more

Supervisors: Dr D Zhou, Dr X Han

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

[School of Natural Sciences PhD Scholarships] Causal Inference in Joint Models of Longitudinal Omic Data and Time-to-Event Outcomes

The University of Manchester

Department of Mathematics

The increasing availability of longitudinal omic data provides new opportunities to investigate how biological processes change over time and how these changes may influence subsequent health outcomes. Read more

Supervisors: Dr T Baghfalaki, Dr H Guo

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

[School of Natural Sciences PhD Scholarships] A Joint Modelling Framework for Longitudinal Microbiome Omics and Time-to-Event Outcomes

The University of Manchester

Department of Mathematics

The early-life microbiome is increasingly recognised as an important component of infant health, yet its relationship with subsequent disease remains difficult to characterise. Read more

Supervisors: Dr T Baghfalaki, Dr H Guo

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

[School of Natural Sciences PhD Scholarships] Joint Modelling of Longitudinal and Time-to-Event Data for Large-Scale Healthcare Studies

The University of Manchester

Department of Mathematics

This PhD project will develop statistical methodology for jointly modelling longitudinal measurements and time-to-event outcomes using large-scale real-world healthcare data. Read more

Supervisors: Dr T Baghfalaki, Dr M Anderson, Dr RP Parisi

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

[School of Natural Sciences PhD Scholarships] Interpretable Latent Variable Models for High‑Dimensional Scientific Data

The University of Manchester

Department of Mathematics

A challenging problem at the interface of statistics and machine learning is the development of latent-variable models whose components are both provably identifiable and scientifically interpretable for modern high-dimensional datasets, including biomedical data. Read more

Supervisors: Prof K Strimmer, Dr Y Han

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

[School of Natural Sciences PhD Scholarships] Numerical approximations of fractional differential equations and their applications

The University of Manchester

Department of Mathematics

In the past few decades, traditional differential equations with diffusion driven by Brownian motions might no longer give an accurate description of many social and natural phenomena with memory effects or long-range interactions. Read more

Supervisors: Dr Y Huang, Dr Y Kazashi

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

[School of Natural Sciences PhD Scholarships] Constructive computational methods for high-dimensional problems

The University of Manchester

Department of Mathematics

High-dimensional computations are ubiquitous in science and engineering, often arising from models with numerous parameters. Read more

Supervisor: Dr Y Kazashi

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

[School of Natural Sciences PhD Scholarships] Modelling and Inference for Household Epidemic Models

The University of Manchester

Department of Mathematics

Household studies are currently run for many infectious disease outbreaks at significant cost, but the data from these are not optimally analysed to draw out epidemiological insights and inform the best policy response to a given epidemic. Read more

Supervisors: Dr T House, Dr L Pellis

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

[School of Natural Sciences PhD Scholarships] Modelling Hospital Pressures

The University of Manchester

Department of Mathematics

Every year and with increasing frequency and intensity there are stories about the NHS struggling to meet surges in demand caused by influenza and other conditions common in the winter, exacerbated by the extra admissions generated in summer due to global warming. Read more

Supervisors: Dr T House, Dr S Ahmad

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

[School of Natural Sciences PhD Scholarships] Supermanifolds, graded manifolds, microformal morphisms, and homotopy algebras

The University of Manchester

Department of Mathematics

Supermanifolds and graded manifolds (those with extra Z-grading in the structure sheaf) are important language for structures such as Lie algebroids, L-infinity algebras, L-infinity algebroids, etc. Read more

Supervisors: Dr T Voronov, Dr Y Bazlov

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

[School of Natural Sciences PhD Scholarships] Supergeometry, integration on supermanifolds, super exterior powers, and related structures.

The University of Manchester

Department of Mathematics

Supermanifolds are analogs of differentiable (and complex-analytic) manifolds whose main new feature is the presence of "anticommuting" variables among local coordinates. Read more

Supervisors: Dr T Voronov, Dr Y Bazlov

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

Backreaction of quantum fields on black hole space-times

University of Sheffield

School of Mathematical and Physical Sciences

Research Group: Applied Mathematics

In classical general relativity, Einstein’s equations involve the curvature of space-time on the left-hand-side, and the stress-energy tensor of matter on the right-hand-side. Read more

Supervisor: Prof E Winstanley

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

Charged quantum fermion fields on charged black hole space-times

University of Sheffield

School of Mathematical and Physical Sciences

Research Group: Applied Mathematics

This project is concerned with quantum field theory in curved space-time, a semiclassical approach to the as-yet-elusive theory of quantum gravity. Read more

Supervisor: Prof E Winstanley

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

Unlocking Proton Circuitry in Biology via Ultrafast Spectroscopy and Bioelectronics

University of Sheffield

School of Mathematical and Physical Sciences

Scientific Rationale. Biological life relies on a continuous flux of energy generated by complex protein machinery embedded within cell membranes. Read more

Supervisor: Prof N Amdursky

31 January 2027 PhD Research Project Funded PhD Project (UK Students Only)

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