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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] Unlikely intersections and o-minimality

The University of Manchester
Department of Mathematics
This project will involve working on unlikely intersection problems (an active area in Diophantine geometry) using ideas from o-minimality (part of model theory). Read more
 Supervisors: Dr G Jones, Dr V Aslanyan
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Cutoff phenomenon in Markov chains

The University of Manchester
Department of Mathematics
Cutoff phenomenon for Markov chains is an abrupt transition where a process goes from being very far away from stationarity to very near stationarity within a short window of time. Read more
 Supervisors: Dr M Luczak, Prof A Hazel
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Abelian varieties, isogenies and quantitative bounds

The University of Manchester
Department of Mathematics
Abelian varieties are higher-dimensional generalisations of elliptic curves, objects of algebraic geometry which are of great interest to number theorists. Read more
 Supervisors: Dr M Orr, Dr G Jones
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Materials optimisation for waves at non-normal incidence

The University of Manchester
Department of Mathematics
Whilst being rather specific in its nature, the focus of this project can be adapted to suit the skills and interests of the appointed student. Read more
 Supervisors: Prof W J Parnell, Dr R Assier
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Models of disease outbreaks in vulnerable settings

The University of Manchester
Department of Mathematics
The objective of the proposal is to develop simulation-based models to explore the transmission of viral pathogens in vulnerable settings. Read more
 Supervisor: Prof I Hall
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Lie algebra actions on noncommutative rings

The University of Manchester
Department of Mathematics
The project will investigate Clifford and Weyl algebras, and related algebraic structures, arising from quadratic modules for semisimple Lie algebras and quantum groups. Read more
 Supervisors: Dr Y Bazlov, Dr J Montaldi
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Dynamically-adaptive control policies to minimise importation and spread of a novel pathogen

The University of Manchester
Department of Mathematics
As a new pathogen emerges abroad, imported cases will grow, but infection can also be seeded and spread internally. Limited testing capability forces trade-offs in allocating resources between borders, hospitals and the community. Read more
 Supervisors: Dr L Pellis, Dr T House
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Prediction and Uncertainty Quantification: Multiple-Use Calibration for All Future Observations

The University of Manchester
Department of Mathematics
Regression is one of the fundamental tools in statistics and machine learning. In a standard regression problem, an input (x) is used to predict an output (y). Read more
 Supervisors: Dr Y Han, 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] Conformal Prediction for Uncertainty Quantification in Machine Learning with Applications to Precision Medicine

The University of Manchester
Department of Mathematics
Precision medicine aims to tailor treatment decisions to individual patients based on their characteristics, predicted outcomes and likely responses to treatment. Read more
 Supervisors: Dr Y Han, 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] Advances in Simultaneous Tolerance Intervals and Bands

The University of Manchester
Department of Mathematics
This project will develop a new generation of simultaneous tolerance intervals, bands and regions for reliable prediction, calibration and anomaly detection in complex modern data settings. Read more
 Supervisors: Dr Y Han, 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] Multiscale modelling of polymer network constitutive behaviour

The University of Manchester
Department of Mathematics
Fibre networks are ubiquitous in both natural and engineered materials. They are manufactured for many reasons. from the nonwoven fabrics used for insulation, clothing and filtration to the rubberlike polymer-based materials used in applications ranging from plumbing to transport. Read more
 Supervisors: Dr T Shearer, Prof O Jensen, Dr G Jones
 Year round applications  PhD Research Project  Competition Funded PhD Project (UK Students Only)
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[School of Natural Sciences PhD Scholarships] Bootstrap Inference for Rank Based Dependence Measures in Spatio Temporal Data

The University of Manchester
Department of Mathematics
Large spatio temporal datasets in climate science, epidemiology, and environmental monitoring increasingly involve many spatial units but relatively short time series. Read more
 Supervisors: Dr M Bhattacharjee, Prof J Huck
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Feedback control to optimize and explore viscous fingering

The University of Manchester
Department of Mathematics
Active feedback control - where control inputs are chosen in response to real time observations - is a very powerful tool to alter the dynamics of a system. Read more
 Supervisors: Dr A Thompson, Dr A Hutchinson
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Unlikely intersections and the Zilber Pink conjecture

The University of Manchester
Department of Mathematics
When can a system of polynomial equations have more special solutions than geometry predicts? This question lies at the heart of unlikely intersections, an area connecting number theory, algebraic geometry and model theory. Read more
 Supervisors: Dr V Aslanyan, Dr G Jones
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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[School of Natural Sciences PhD Scholarships] Existential Closedness for exponential and automorphic functions

The University of Manchester
Department of Mathematics
Polynomial equations over the complex numbers are central to algebraic geometry. Read more
 Supervisors: Dr V Aslanyan, Dr G Jones
 Year round applications  PhD Research Project  Competition Funded PhD Project (Students Worldwide)
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