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mathematics PhD Projects, Programmes & Scholarships

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

Arithmetic Moments and Random Matrix Statistics over Function Fields - EPSRC DLA studentship for September 2027 entry

University of Exeter

Mathematics and Statistics

The study of L-functions — their moments, zero statistics, and connections to random matrix theory — sits at the heart of modern analytic number theory. Read more

Supervisor: Dr J Andrade

8 December 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Cut and project schemes in hyperbolic space with applications to acoustic metamaterials - EPSRC DLA studentship for September 2027 entry

University of Exeter

Mathematics and Statistics

The discovery of quasicrystals – honoured with the 2011 Chemistry Nobel prize – has generated and continues to stimulate a tremendous amount of research in the international mathematics and physics communities. Read more

Supervisor: Dr TS Samuel

8 December 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Energy-Aware Autonomous Charging and Power Sharing for Mobile Robotic Systems in Net-Zero Environments- ReNU+27/SE/EPM/WU

Northumbria University

School of Engineering, Physics and Mathematics

The EPSRC Centre for Doctoral Training (CDT) in Renewable Energy Northeast Universities Plus (ReNU+) is a collaborative doctoral training programme run by the Universities of Northumbria, Newcastle and Durham. Read more

Supervisors: Dr H Wu, Dr YC Chen

1 February 2027 PhD Research Project Funded PhD Project (UK Students Only)

Multiscale modelling and statistical inference of tumour initiation and evolution in neuroblastoma

University of Sheffield

School of Mathematical and Physical Sciences

Neuroblastoma is the most common solid tumour of early childhood and, in its aggressive forms, remains hard to treat. These tumours arise when embryonic cells - trunk neural crest cells and their derivatives - fail to differentiate correctly. Read more

Supervisors: Prof G Fletcher, Dr A Tsakiridis

29 January 2027 PhD Research Project Funded PhD Project (UK Students Only)

Representations of p-adic groups and arithmetic (STEVENSSA_U26EMP)

University of East Anglia

School of Mathematics

Primary Supervisor. Professor Shaun Stevens. The Local Langlands Correspondence has motivated a great deal of Number Theory and Representation Theory over the last fifty years. Read more

Supervisor: Prof S Stevens

30 November 2026 PhD Research Project Self-Funded PhD Students Only

Categorification and the Local Langlands Correspondence STEVENSS_U26EMP

University of East Anglia

School of Mathematics

Primary Supervisor. Professor Shaun Stevens. The representation theory of p-adic groups has been a highly active area of research over the last fifty years, motivated by the Local Langlands Correspondence/Conjectures and its deep connections to Number Theory. Read more

Supervisor: Prof S Stevens

30 November 2026 PhD Research Project Self-Funded PhD Students Only

Predictive modelling and control of low-cost droplets for micro-engineering

University of Birmingham

School of Mathematics

Advances in manufacturing science have resulted in unprecedented research and development in the design of ‘micro-swimmers’. microscopic entities that navigate fluid environments by converting some form of energy–e.g. Read more

Supervisor: Dr N D Desai

10 January 2027 PhD Research Project Funded PhD Project (UK Students Only)

Deep learning for Computational Imaging

University of Bristol

School of Engineering Mathematics and Technology

The Bristol Visual Information Lab (VI-Lab) and the School of Engineering Mathematics are offering an exciting PhD position for a student passionate about machine learning, mathematical image modelling, and computer vision. Read more

Supervisor: Dr MG Golbabaee

1 December 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Curvature, Topology and Nonlinear Excitations in Quantum Fluids (PROMENTD_U27SCI)

University of East Anglia

School of Mathematics

Primary Supervisor - Dr Davide Proment. What happens to a quantum fluid when the space in which it moves is curved?. This PhD will explore an emerging frontier in quantum-fluid physics. Read more

Supervisor: Dr D Proment

24 February 2027 PhD Research Project Competition Funded PhD Project (UK Students Only)

Geometric and combinatorial inverse monoid theory (GRAYR_U27SCI)

University of East Anglia

School of Mathematics

Primary supervisor - Prof Robert Gray. This PhD project is in the area of combinatorial algebra which is the study of algebraic objects like groups, and more generally monoids, defined in terms of a generating set, and a set of defining relations holding among those generators. Read more

Supervisor: Dr R Gray

24 February 2027 PhD Research Project Competition Funded PhD Project (UK Students Only)

Singularities and patterns in biological and engineering applications

University of Bristol

School of Engineering Mathematics and Technology

Singularities don't just come in the form of exotic things like black holes, they actually underpin a lot of the structures and patterns making up the world around us. Read more

Supervisor: Dr MJ Jeffrey

1 December 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Hidden dynamics in decisions and control

University of Bristol

School of Engineering Mathematics and Technology

A lot of the mathematical tools that we use in modelling the real world assume that world to behave smoothly and deterministically. Read more

Supervisor: Dr MJ Jeffrey

1 December 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Algorithms for Collective Decision Making: Voting and Coalition Formation

University of Bristol

School of Engineering Mathematics and Technology

How can we design voting rules that represent diverse preferences fairly? When can individuals form stable and mutually beneficial coalitions? How can algorithms support cooperation in societies shaped by competing interests? This PhD project explores these questions through computational social choice and algorithmic game theory, at the interface of theoretical computer science and economics. Read more

Supervisor: Dr MB Bullinger

1 December 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Last chance to apply

EASTBIO Unravelling the Regulation of Small RNAs in the Prostate

University of St Andrews

School of Mathematics and Statistics

Research Group: Statistical Medicine and Molecular Biology

Aside from messenger RNA (mRNA), a whole raft of small non-coding RNAs are at work in the cell, but these have been relatively neglected in studies of genetic and epigenetic regulation. Read more

Supervisors: Prof A Lynch, Dr G Minas

16 November 2026 PhD Research Project Competition Funded PhD Project (Students Worldwide)

Modulated Fourier expansions for time-varying media

University of Birmingham

School of Mathematics

Time-modulated media, whose material properties change rapidly in time, are opening up new ways to control waves. They make possible frequency conversion, parametric amplification, non-reciprocal transport and “temporal crystals” with momentum band gaps. Read more

Supervisor: Dr J Nick

Year round applications PhD Research Project Competition Funded PhD Project (Students Worldwide)

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