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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Model Order Reduction techniques for nonlinear elasticity and thermofluids

High-fidelity computer simulations for complex engineering systems are computationally demanding. The challenges compound for problems in nonlinear regime and multiphysics loading conditions. Read more
 Supervisors: Dr CK Kadapa , Dr CG Guiver
 Year round applications  PhD Research Project  Self-Funded PhD Students Only
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Mechanically Checking the Semantics of Hybrid Event-B

These days, the world is increasingly being populated with systems that interact directly with the physical world. Of course such systems have existed for a long time in niche safety-critical areas, eg. Read more
 Supervisor: Dr R Banach
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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UKRI AI Centre for Doctoral Training in Biomedical Innovation (AI4BI CDT)

Artificial intelligence has immense potential to tackle major global health challenges, optimise healthcare systems, and improve patient outcomes. Read more
 Funded PhD Programme (Students Worldwide)  UKRI AI Centre for Doctoral Training
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Your interdisciplinary Master to PhD Direct Track program!

The Max Planck School Matter to Life (MPS MtL) offers an innovative integrated Master's and PhD program providing a highly interdisciplinary and research oriented education for excellent undergraduates. Read more
 Funded PhD Programme (Students Worldwide)  Germany PhD Programme
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PhD programmes in Education

Mary Immaculate College (MIC) offers a diverse suite of postgraduate programmes in Education to masters and doctoral level. Be part of an innovative and creative learning environment with student supports, graduate skills training and a range of financial supports. Read more
 Funded PhD Programme (Students Worldwide)  Social Sciences Research Programme
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Fully Funded PhD Program in Japan – Interdisciplinary Research at OIST

The Okinawa Institute of Science and Technology Graduate University (OIST), accredited in 2011, is located on the subtropical island of Okinawa, Japan. Read more
 Funded PhD Programme (Students Worldwide)  International PhD Programme
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Maynooth University Hamilton Institute

The Hamilton Institute is a multidisciplinary research institute that builds bridges between mathematics and its applications in communications, networks, artificial intelligence, biology and other disciplines. Read more
 Funded PhD Programme (Students Worldwide)  Ireland PhD Programme
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PhD Opportunities at the National Institute of Education, Nanyang Technological University

The National Institute of Education welcomes prospective PhD students who aspire to be broadly prepared for work both in and outside of education. Read more
 Funded PhD Programme (Students Worldwide)  Singapore PhD Programme
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Shape the Future of Computational Science – 10+ Fully Funded PhD Opportunities available at HetSys at Warwick

Bringing together cutting-edge research in computational modelling of complex, heterogeneous systems, spanning scales from quantum and atomistic to continuum models with projects addressing exciting challenges in materials, molecules, and beyond—pushing the boundaries of science, maths and engineering. Read more
 Funded PhD Programme (UK Students Only)  EPSRC Centre for Doctoral Training
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Data-driven modelling and control of turbulence-generated noise

Are you passionate about understanding the underlying physical principle of noise generation by unsteady turbulent flows? Do you want to contribute to cutting-edge research that will lead to a breaking towards achieving silent aircraft design?. Read more
 Supervisor: Dr Z Wang
 Year round applications  PhD Research Project  Funded PhD Project (UK Students Only)
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Three-dimensional water-waves

Over 50 years ago at Caltech, Richard Feynman stated that ``Waves easily seen by everyone and which are usually used as an example of waves in elementary courses are water waves. Read more
 Supervisor: Dr J Keeler
 Year round applications  PhD Research Project  Funded PhD Project (European/UK Students Only)
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When AI learns from AI: understanding and preventing model collapse

Generative AI models are increasingly trained on data that other models produced. Over generations this can erode what they know. Read more
 Supervisor: Dr FMP Moreno-Pino
 1 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Learning Movement at Scale: Foundation Models for Trajectories and Beyond

Movement is common across diverse systems, from people travelling through cities to ships crossing oceans and animals navigating ecosystems. Read more
 Supervisor: Dr AS Soares
 1 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Reliable Agentic AI for Financial Technology Research

Generative and agentic AI systems can increasingly conduct substantial parts of the empirical research process, including data collection, coding, statistical analysis, robustness testing and interpretation. Read more
 Supervisor: Dr YY Yang
 1 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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Multi-symplectic methods for nonlinear wave interactions and ocean wave forecasting - EPSRC DLA studentship for September 2027 entry

The motivation for this project is to develop the mathematical foundations for the next generation of ocean-wave forecasting models. Read more
 Supervisor: Dr H Alemi Ardakani
 8 December 2026  PhD Research Project  Competition Funded PhD Project (Students Worldwide)