We have 29 complexity theory PhD Projects, Programmes & Scholarships

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complexity theory PhD Projects, Programmes & Scholarships

We have 29 complexity theory PhD Projects, Programmes & Scholarships

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Computability and Constrained Equations in Free Semigroups (Ref: CO/JD-SF1/2026)

Loughborough University
Department of Computer Science
Given a finite set A, and an associative binary operation o, a semigroup is a set which contains A and is closed under o. If |A| n, the free semigroup A+ is a particular example of a semigroup. Read more
 Supervisor: Dr J Day
 1 January 2027  PhD Research Project  Self-Funded PhD Students Only
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Advanced Simultaneous Wireless Information and PowerTransfer (SWIPT) systems for future generation IoT systems

Edinburgh Napier University
School of Computing, Engineering & the Built Environment
In the upcoming era of sixth-generation (6G) networks, it is predicted that a wide range of low-power devices will have the capability to efficiently sense their surroundings and transmit data on a large scale. Read more
 Supervisors: Prof C H See, Dr NOP Ojaroudi Parchin
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Ranks and types in positive logic (KIRBYJ_U27EMPSFPF)

University of East Anglia
School of Mathematics
Primary Supervisor. Dr Jonathan Kirby. Model theory is traditionally done with “classical first-order logic”, the logic which allows unlimited use of the operators AND, OR, NOT, with the EXISTS and FOR ALL quantifiers. Read more
 Supervisor: Dr J Kirby
 30 November 2026  PhD Research Project  Self-Funded PhD Students Only
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[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)
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Investigating the fidelity of real-world data transformation into Common Data Models: novel measures for the assessment of OMOP data standardisation as a case study (Botnar-2026-05)

University of Oxford
Botnar Research Centre
Real-world data (RWD), routinely collected across various healthcare settings, are increasingly used in observational studies, which are now recognised as valuable complements to traditional randomised controlled trials for informing patient care, healthcare delivery, and policy-making. Read more
 Supervisors: Dr A Delmestri, Assoc Prof S Kiefer, Dr M Pineda-Moncusí
 1 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Responsibility-aware Decision-making and AI Alignment in Multiagent Systems

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 C Mu, Prof N Oren
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Phase Transitions and Emergent Behaviour in Large Language Models

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 M Thiel, Prof M. C. Romano
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Delegation in Complex Conflicts

University of Reading
Department of Politics and International Relations
In the last decade, principal–agent theory has almost completely dominated theorizing on conflict delegation. Although not without criticism, it is fair to say that principal– agent theory has become the dominant framework through which we have come to study external support to non-state armed groups. Read more
 Supervisor: Dr V Rauta
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Constrained control and set invariance

University of Sheffield
School of Electrical and Electronic Engineering
Invariant sets play an important and fundamental role in the design of control systems. An invariant set is a region of a dynamic system’s state space that has the following property. Read more
 Supervisor: Dr P Trodden
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Responsibility gaps and AI safety in multiagent systems

University of Southampton
Faculty of Engineering and Physical Sciences
Supervisor. Dr Vahid Yazdanpanah. This project will develop computational methods to detect responsibility gaps, attribute collective failures, and support safer oversight of multiagent systems under uncertainty and partial observability. Read more
 Supervisor: Dr V Yazdanpanah
 30 November 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Unravelling the Role of Configurational Entropy in Mechanical Properties of High-Entropy Ceramics

The University of Manchester
Department of Materials
Unravelling the Mechanical Secrets of High-Entropy Ceramics. Can we discover new principles for designing tougher and stronger ceramics by controlling their atomic complexity?. Read more
 Supervisors: Dr Y Chen, Dr A Yerokhin
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] From Hinges to Morphing: Redefining Aircraft Control for Efficient Flight

The University of Manchester
Department of Mechanical and Aerospace Engineering
How should an aircraft wing change shape to achieve the most efficient control?. Aircraft rely on control surfaces such as ailerons and spoilers to manoeuvre, but there are many ways of distributing these surfaces across a wing. Read more
 Supervisors: Dr MN Nabawy, Prof W Crowther
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Analysis of Spatial Time Series Data using Random Matrices

The University of Manchester
Department of Mathematics
Are you excited by the challenge of turning massive, complex data into rigorous statistical insight? We invite applications for a PhD project at the intersection of high-dimensional probability, random matrix theory, and spatio-temporal statistics, with applications in climate science, epidemiology, neuroimaging, finance, and sensor networks. Read more
 Supervisors: Dr M Bhattacharjee, Dr E Alsusa
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Engineering PhD Scholarships] Generative User Interfaces that Adapt to the Contextual Needs of Physical Activity Tracking Users

The University of Manchester
Department of Computer Science
This PhD investigates how user interfaces for physical activity (PA) tracking can be generated automatically from a user's context, rather than designed once and applied to everyone. Read more
 Supervisors: Dr M Vigo, Dr S Harper
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Data-Physics Dual-Driven (Hybrid PINN) Modelling for Next-Generation Aerospace Structural Dynamics

University of Birmingham
School of Metallurgy & Materials
About the Project. Are you passionate about the fusion of Artificial Intelligence and structural dynamics? Do you want to contribute to cutting-edge research that will transform aircraft structural health monitoring and real-time digital twins?. Read more
 Supervisor: Dr J Wu
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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