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

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mathematics PhD Projects, Programmes & Scholarships

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

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[School of Natural Sciences PhD Scholarships] Modelling chemical warfare and its evolution in microbial communities

Many bacteria use sophisticated weaponry – including small molecule antimicrobials, protein syringes, hole-punching nanomachines and weaponised viruses – to compete with rival microorganisms for space and resources. Read more
 Supervisors: Dr WS Smith, Dr K Coyte, Dr T Gilman
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Research Studentship in Control and Engineering Biology

Research Studentship in Control and Engineering Biology. 3.5-year D.Phil. studentship. Project. Synthetic Biology for fundamental science and application scale-up. Read more
 Supervisors: Prof H Steel, Prof A Papachristodoulou
 2 December 2026  PhD Research Project  Funded PhD Project (UK Students Only)
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[School of Engineering PhD Scholarships] Data-driven modelling and active control of aerodynamic flow separation

Flow separation can cause substantial increases in aerodynamic drag and loss of performance in aircraft, UAVs and wind-energy devices, and its prediction and control remain major challenges in aerodynamics. Read more
 Supervisors: Dr S Rezaeiravesh, Dr M Mihajlovic
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Integrated Climate-Impact Design and Lifecycle Assessment of Next-Generation Technologies for Net-Zero Aviation by 2050

Aviation currently contributes around 3.5% of human-caused radiative forcing, and non-CO2 effects – including contrails, nitrogen oxides, soot and water vapour – account for roughly two-thirds of that impact. Read more
 Supervisors: Dr S Jagtap, Dr N Bojdo
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Unpicking the Mechanics of Breast Cancer Metastasis: A Hybrid Analog–Biological Vasculature-on-Chip Approach

Haematogenous metastasis requires circulating tumour cells (CTCs) to survive transport through the microvasculature, where they are effectively carried by a suspension of red blood cells (RBCs). Read more
 Supervisors: Dr RT Tank, Prof A Juel
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Quantum Rotation Sensing with Superfluid Helium

Modern navigation, geophysics, aerospace technologies and tests of fundamental physics all rely on our ability to measure rotation with extraordinary precision. Read more
 Supervisors: Prof S Weinfurtner, Prof A Golov
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Machine-learning methods for analysing quantum turbulence in superfluid helium

Quantum turbulence is a remarkable form of fluid motion that occurs in superfluids. Unlike turbulence in ordinary fluids, quantum turbulence is sustained by a dynamic tangle of quantized vortices, each carrying a fixed amount of circulation. Read more
 Supervisors: Prof A Golov, Dr P Walmsley
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Beyond the average: extracting molecular size distributions from diffusion NMR

A 3.5-year PhD studentship in NMR spectroscopy and data analysis is available at the University of Manchester, supervised jointly by Prof. Read more
 Supervisors: Prof M Nilsson, Dr R Adams
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Quantum-based Sensing and Detection for Resilient Coverage in 6G Networks

Sixth-generation (6G) wireless networks are expected to underpin some of the most critical services in modern society, including emergency response, energy infrastructure, autonomous transport, and remote healthcare. Read more
 Supervisors: Dr E Alsusa, Dr S Kohler
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Power-pool design in high-stakes transboundary water–energy-food systems

To reduce emissions, lower costs, and improve services, countries are interlinking their power networks with neighbouring countries into ‘power-pools’, and eventually into energy markets (like in Europe, USA). Read more
 Supervisors: Prof J Harou, Dr EMC Martínez Ceseña, Dr RC Chan
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Quantum Sensing for Fundamental Physics

Unlocking the secrets of our Universe, including the mystery of dark matter and dark energy, may depend on the fabrication of small ultra-sensitive devices, held in the palm of one's hand. Read more
 Supervisors: Dr JM Mcdonald, Prof C Englert
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] PhD in Physics of Fluids and Soft Matter

Research in Physics of Fluids and Soft Matter is focused on the dynamics of complex systems, from bubble flows to soft tissues, encompassing both curiosity-driven and industrially relevant phenomena. Read more
 Supervisors: Prof A Juel, Dr D Pihler-Puzovic, Dr F Box, Dr RT Tank
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Bio-Inspired Robotic Burrowing: Penetration and Anchorage in Real Soil

Can a robot weaken the soil in front of it without losing the grip that drives it forward? Bio-inspired burrowing systems could enable mobile, low-disturbance investigation of the shallow subsurface, reaching locations that are difficult to access using drilling, trenching or conventional vertical probes. Read more
 Supervisors: Dr X Xu, Dr A Weightman, Dr J Shang
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Physics-Grounded Learning of AI Agents for Designing Vaccine Reactors

Artificial intelligence is increasingly used in engineering design, but researchers still decide which simulations to run, whether results are physically credible, and what to investigate next. Read more
 Supervisors: Dr N Basha, Prof J Lawrence
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] The Hidden Grid: Coordinating Heat, Transport and Distributed Energy Resources Under Limited Visibility in Future Low-Voltage Networks

The transition to a net-zero energy system is transforming electricity networks. Rapid growth in electric vehicles, heat pumps, rooftop solar panels, batteries and flexible demand is creating new opportunities, but also significant operational challenges for network operators. Read more
 Supervisors: Dr A Ehsan, Dr EMC Martínez Ceseña
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)