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We have 44 topology PhD Projects, Programmes & Scholarships

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topology PhD Projects, Programmes & Scholarships

We have 44 topology PhD Projects, Programmes & Scholarships

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Algebraic topology and graphs

University of Aberdeen
School of Natural and Computing Sciences
These projects are open to students worldwide, but have no funding attached. Therefore, the successful applicant will be expected to fund tuition fees at the relevant level (home or international) and any applicable additional research costs. Read more
 Supervisors: Dr R Hepworth-Young, Dr M Grant
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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The role of DNA topology in epigenetic regulation by Polycomb proteins

Montreal Clinical Research Institute (IRCM)
University of Montreal
  Research Group: Francis Lab, Biochemistry of Epigenetic Inheritance
Project Description. Correct use of the genome is at the heart of cell function and development. The primary sequence of DNA holds its essential information, yet the organization and structure of DNA also encode information. Read more
 Supervisor: Dr N Francis
 Year round applications  PhD Research Project  Funded PhD Project (Students Worldwide)
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Multi-level topology optimization of architected metamaterial structures

University of Southampton
Faculty of Engineering and Physical Sciences
Supervisory Team. Dr Haris Moazam Sheikh. About the project. Mechanical metamaterials are engineered structures with extraordinary properties driven by geometry, not composition. Read more
 Supervisor: Dr H Sheikh
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Design of lightweight composite stiffened shell structures using topology optimisation

University of Aberdeen
School of Engineering
These projects are open to students worldwide, but have no funding attached. Therefore, the successful applicant will be expected to fund tuition fees at the relevant level (home or international) and any applicable additional research costs. Read more
 Supervisors: Dr P Dunning, Prof M Kashtalyan
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Unlocking the potential of optimized vertical-axis wind turbine arrays via surrogate-modelling and topology optimization

University of Southampton
Faculty of Engineering and Physical Sciences
Supervisory team. Dr. Haris Moazam Sheikh. This project will develop a multi-scale optimization framework using surrogate modelling and topology morphing techniques to overcome the high cost of Vertical-axis wind turbines (VAWTs) design. Read more
 Supervisor: Dr H Sheikh
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Local-global conjectures for spetses (Ref: MA/JS-SF1/2026)

Loughborough University
Department of Mathematical Sciences
A real reflection group is a finite group of matrices with real-entries generated by reflections. Such groups occur ubiquitously as Weyl groups in the classifications of simple complex Lie groups and algebraic groups, and in the theories of braid groups, knots and Hecke algebras. Read more
 Supervisor: Dr J Semeraro
 31 July 2026  PhD Research Project  Self-Funded PhD Students Only
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Digital Twin-Enabled Vehicular Edge Computing

Edinburgh Napier University
School of Computing, Engineering & the Built Environment
Upon the emergence of the Internet of Things (IoT) and Mobile Edge Computing (MEC), the Intelligent Transportation Systems (ITS) has been undergoing a transformative phase with exponential growth in innovative digital services and unprecedented business opportunities. Read more
 Supervisors: Prof A Al-Dubai, Prof BC Canberk
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Designing smart space structures for extreme environments: from nonlinear dynamics to resilient mechanisms

University of Southampton
Faculty of Engineering and Physical Sciences
Supervisory Team. Andrea Cammarano and Dr Cristiano Martinelli. Read more
 Supervisor: Prof A Cammarano
 30 September 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Machine Learning Quantum Phase Transitions via Topology- and Symmetry-aware AI

University of Sheffield
School of Mathematical and Physical Sciences
  Research Group: Applied Mathematics
This PhD project focuses on using topological data analysis (TDA) in machine learning (ML) to study (exotic) quantum matter systems defined on a lattice. Read more
 Supervisor: Dr M Fazzi
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Solution Landscapes and Inverse Problems in the Landau-de Gennes theory for Liquid Crystals

The University of Manchester
Department of Mathematics
Liquid crystals (LCs) are beautiful smart materials that combine fluidity and softness with the structural order of solids. At a basic level, LCs are anisotropic or directional soft materials with distinguished material directions, referred to as "directors". Read more
 Supervisors: Prof AM Majumdar, Dr J Daou
 30 June 2026  PhD Research Project  Funded PhD Project (UK Students Only)
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Graph-based techniques for image processing

University of Aberdeen
School of Natural and Computing Sciences
These projects are open to students worldwide, but have no funding attached. Therefore, the successful applicant will be expected to fund tuition fees at the relevant level (home or international) and any applicable additional research costs. Read more
 Supervisors: Prof B Martin, Prof M. C. Romano
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Wireless Communication, Signal Processing, and AI

The University of Manchester
Department of Electronic and Electrical Engineering
This fully funded PhD explores AI-native and sensing-aware wireless systems where communications and sensing are co-designed end-to-end. Read more
 Supervisor: Dr K Meng
 Year round applications  PhD Research Project  Funded PhD Project (UK Students Only)
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Wave Dynamics on Complex Networks: From Graph Theory to Machine Learning (PROMENTD_U27EMPSFP)

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
 31 July 2026  PhD Research Project  Self-Funded PhD Students Only
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Coarse homotopy groups and large scale geometry of groups with bi-invariant metrics

University of Aberdeen
School of Natural and Computing Sciences
These projects are open to students worldwide, but have no funding attached. Therefore, the successful applicant will be expected to fund tuition fees at the relevant level (home or international) and any applicable additional research costs. Read more
 Supervisors: Dr A Libman, Prof Jarek Kedra
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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The space of maps between classifying spaces

University of Aberdeen
School of Natural and Computing Sciences
These projects are open to students worldwide, but have no funding attached. Therefore, the successful applicant will be expected to fund tuition fees at the relevant level (home or international) and any applicable additional research costs. Read more
 Supervisors: Prof R Levi, Dr A Libman
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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