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PhD Projects, Programmes & Scholarships

We have 3,359 PhD Projects, Programmes & Scholarships

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Characterization and convergence of non-Brownian webs

University of Sheffield
School of Mathematical and Physical Sciences
  Research Group: Mathematical and Statistical Modelling
The Brownian web is a dense system of coalescing Brownian motions in 1+1 dimensional space time. Read more
 Supervisor: Dr N Freeman
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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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
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Computational modelling of two-dimensional graphene-based materials

University of Sheffield
School of Mathematical and Physical Sciences
  Research Group: Light Matter Interations
Graphene is a novel material with outstanding electronic and mechanical properties. Chemical modification of graphene gives rise to new materials, such as graphene oxide and reduced graphene oxide, with properties very distinct from graphene and with possible applications in photocatalysis and batteries. Read more
 Supervisor: Dr N Martsinovich
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Cosmic-Ray Muons in Different Applications

University of Sheffield
School of Mathematical and Physical Sciences
  Research Group: Particle Physics and Particle Astrophysics
Cosmic-ray muons are known to be useful in applications beyond particle astrophysics. They have helped with mapping structure of volcanoes and with finding voids in various geological structures. Read more
 Supervisors: Dr R S Jones, Dr P Stowell
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Design and synthesis of advanced heterogeneous catalysts for sustainable petrochemical transformations

University of Sheffield
School of Mathematical and Physical Sciences
  Research Group: Materials Chemistry
Catalysis underpins almost every process in the chemical and petrochemical industries. However, many oxidation processes still rely on energy-intensive routes and inefficient catalysts. Read more
 Supervisor: Dr M Conte
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Design and synthesis of mesoporous zeolite catalysts for the conversion of sugars into biofuels and high-value chemicals

University of Sheffield
School of Mathematical and Physical Sciences
  Research Group: Materials Chemistry
Developing sustainable alternatives to fossil fuels is one of the major challenges in modern chemistry. A promising approach is to convert renewable biomass into transportation fuels and value-added chemicals. Read more
 Supervisor: Dr M Conte
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Developing Quantum Computing and AI tools for mRNA structure prediction

University of Sheffield
School of Mathematical and Physical Sciences
  Research Group: Semiconductor Photonics and Quantum Technologies
The aim of this PhD project is to develop quantum computing and AI methods for mRNA structure prediction, in collaboration with a large pharmaceutical company contributing 50% of the award. Read more
 Supervisor: Dr O Kyriienko
 28 September 2026  PhD Research Project  Funded PhD Project (UK Students Only)
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Developing state-of-the-art Space Weather forecast tools

University of Sheffield
School of Mathematical and Physical Sciences
  Research Group: Applied Mathematics
The production of flares and Coronal Mass Ejections (CMEs) from solar active regions (ARs) is still not well understood in spite of their huge importance to Sun-Earth connections, in particular, to protect mankind and our sophisticated technological systems that might be at considerable risk from high-speed charged particles blowing often abruptly off the Sun. Read more
 Supervisor: Prof R von Fay-Siebenburgen
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Dynamic skewness in longitudinal data models

University of Sheffield
School of Mathematical and Physical Sciences
  Research Group: Mathematical and Statistical Modelling
Panel (longitudinal) data enables learning the dynamics and relations of (groups of) units, strengthening the inference on both cross-sectional and dynamic parameters. Read more
 Supervisor: Dr M Juarez
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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From patience to peril: how do C. difficile spores decide when it's safe to germinate?

University of Sheffield
School of Mathematical and Physical Sciences
  Research Group: Materials and Biological Physics
Background. Clostridioides difficile is the leading cause of healthcare-associated infections and is notoriously difficult to treat. Read more
 Supervisors: Dr W Durham, Dr R Fagan
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Integrated quantum photonics using semiconductor quantum dots

University of Sheffield
School of Mathematical and Physical Sciences
  Research Group: Semiconductor Photonics and Quantum Technologies
This project is about solid-state quantum technologies, and aims to demonstrate key components of photonic quantum processing circuits. Read more
 Supervisors: Prof M Fox, Prof L Wilson
 30 September 2026  PhD Research Project  Self-Funded PhD Students Only
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Interacting dark energy models in light of cosmological data

University of Sheffield
School of Mathematical and Physical Sciences
  Research Group: Applied Mathematics
The current cosmological standard model, the LCDM model, comes under scrutiny from recent cosmological observations. on the one hand, the expansion rate today, as measured from early time and late time probes does not agree. Read more
 Supervisor: Prof C van de Bruck
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Mathematics PhD – System dynamics modelling of services for children with complex health needs

University College London
Department of Mathematics
A fully-funded PhD is available from February 2027 to work with Professors Sonya Crowe, Christina Pagel and Nici Zimmermann on an Operational Research / System Dynamics project as part of the NIHR/EPSRC-funded SPROCKET Hub (Systems and Process Redesign and Optimisation at Childhood Key Events and Transitions). Read more
 Supervisors: Prof SC Crowe, Prof CP Pagel
 25 October 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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Magnetodydrodynamic waves in the solar atmosphere

University of Sheffield
School of Mathematical and Physical Sciences
  Research Group: Applied Mathematics
State-of-the-art high-resolution ground- and spaced-based telescopes routinely observe magnetohydrodynamic (MHD) waves that are ubiquitous in the solar atmosphere. Read more
 Supervisor: Prof R von Fay-Siebenburgen
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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