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mathematics PhD Projects, Programmes & Scholarships

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

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Development of Information Entropic Based Methods for Digital Security

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, Mathematics and Physics and will be supervised by Dr Melvin Vopson and Dr Sergi Simon. Read more
 Supervisors: Dr M Vopson, Dr S Simon
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Renormalisation in dynamical systems

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, Mathematics and Physics and will be supervised by Dr Andrew Burbanks, Dr Thomas Kecker and Maria Pickett. Read more
 Supervisors: Dr A Burbanks, Dr T Kecker
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Geometric classification of complex differential equations

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, Mathematics and Physics and will be supervised by Dr Thomas Kecker and Dr Andrew Burbanks. Read more
 Supervisors: Dr T Kecker, Dr A Burbanks
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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[School of Natural Sciences PhD Scholarships] Multi-Scale Modelling of Powder Bed Fusion: Two-Way Coupling of Granular Dynamics and Melt Pool Hydrodynamics

The University of Manchester
Department of Mathematics
Laser Powder Bed Fusion (LPBF) additive manufacturing involves complex multi-physics across disparate length and time scales. Read more
 Supervisors: Dr A Thornton, Dr T Flint
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Algebraic model theory of fields with operators

The University of Manchester
Department of Mathematics
Model theory is a branch of Mathematical Logic that has had several remarkable applications with other areas of mathematics, such as Combinatorics, Algebraic Geometry, Number Theory, Arithmetic Geometry, Complex and Real Analysis, Functional Analysis, and Algebra (to name a few). Read more
 Supervisors: Dr O Sanchez, Dr M Tressl
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Graph Gaussian Processes for Relational Dependence in Spatial Disease Risk Mapping

The University of Manchester
Department of Mathematics
Mapping disease risk accurately is central to public health planning, but standard statistical models assume that risk in one location depends only on how physically close it is to another. Read more
 Supervisors: Dr O Johnson, Dr E Fairbanks
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Random walks and Fractals

The University of Manchester
Department of Mathematics
This project will investigate random walks on groups and their applications to fractal geometry, with a particular focus on spectral gap phenomena and their implications for the absolute continuity and regularity of projections of self-similar measures. Read more
 Supervisors: Dr X Jin, Dr D Denisov
 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 Natural Sciences PhD Scholarships] Mixing of cohesive and wet materials

The University of Manchester
Department of Mathematics
This PhD project focuses on the simulation and modelling of wet and cohesive powders, which play a crucial role in industries such as pharmaceuticals, food processing, and additive manufacturing. Read more
 Supervisors: Dr A Thornton, Prof M Heil
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Abstract Regular Polytopes and Groups of Lie Type

The University of Manchester
Department of Mathematics
Abstract regular polytopes have been part of mathematics since antiquity – familiar examples being regular polygons, the icosahedron and dodecahedron. Read more
 Supervisors: Prof P Rowley, Dr V Kelsey
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Non-Intrusive Approximation for Systems of Time-Dependent Parametric PDEs

The University of Manchester
Department of Mathematics
In applied mathematics we frequently encounter physics-based models consisting of partial differential equations (PDEs) with inputs that are uncertain in real-world settings (eg material coefficients, boundary conditions etc). Read more
 Supervisor: Dr C Powell
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Reliable Inference from High-Dimensional Data

The University of Manchester
Department of Mathematics
Modern scientific studies often measure thousands of variables from relatively few individuals. Statistical methods can identify patterns in such data, but producing trustworthy confidence intervals and hypothesis tests is much harder, particularly when variability and dependence are not correctly modeled. Read more
 Supervisors: Dr J Zhou, Dr W Li
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Quantitative Limit Theorems in Mathematical Statistics via Stein’s Method

The University of Manchester
Department of Mathematics
Distributional approximations arise throughout probability and statistics. Here one is interested in approximating the (possibly intractable) distribution of a quantity of interest by a simpler, well-understood distribution, allowing one to make inference. Read more
 Supervisors: Dr R Gaunt, Dr X Jin
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Flow and transport control and optimization in microfluidic devices

The University of Manchester
Department of Mathematics
Microfluidic devices can be used as lab-on-a-chip analogues for human organs, which themselves involve flow through and around many layers of tissues of varying properties. Read more
 Supervisors: Dr A Thompson, Dr RT Tank
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Higher‑Order Tensor Compression for Spatio-Temporal Data

The University of Manchester
Department of Mathematics
Dynamic multilayer networks—such as communication systems, financial transaction streams, and international relations—exhibit complex dependencies across dyads, relational layers, and time. Read more
 Supervisors: Dr M Bhattacharjee, Dr S Utyuzhnikov
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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