Search research programmes
1-30 of 106 search results
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MathematicsThe School of Mathematics offers an exceptionally wide range of opportunities for postgraduate studies in mathematics. |
PhD, MPhil | Full-time, Part-time | Programme |
MedicineThe School of Medicine offers research degrees in the medical disciplines such as cancer, immunology, infection, immunity, neurosciences, mental health and population medicine. |
PhD, MPhil, MD | Full-time, Part-time | Programme |
Pure MathematicsResearch in this area spans: Ordinary and partial differential equations; Functional analysis; Analytical and computational spectral theory; Quantum mechanics; Number theory and its applications; Mathematical physics; Operator algebras; Algebraic geometry. |
PhD, MPhil | Full-time, Part-time | Area |
Operational ResearchResearch in this area spans: Modelling of traffic flow; Healthcare modelling; Modelling of the spread of infectious diseases; Queueing theory; Scheduling and timetabling problems; Metaheuristics; Discrete optimisation. |
PhD, MPhil | Full-time, Part-time | Area |
Applied MathematicsResearch in this area spans: Wave propagation in inhomogeneous media; Homogenisation; Fluid mechanics; Structural and solid mechanics; Numerical analysis and scientific computing; Applied mathematical modelling; Memory effects; Inverse problems; Integral transforms. |
PhD, MPhil | Full-time, Part-time | Area |
Accounting and FinanceThe Accounting and Finance Section at Cardiff Business School has an established and expanding worldwide reputation for conducting high quality theoretical and empirical research in accounting and finance and related fields. |
PhD | Full-time, Part-time | Area |
Physics and AstronomyThe wide range of expertise within the School of Physics and Astronomy enables the School to offer a variety of opportunities for higher degrees by research. |
PhD, MPhil | Full-time, Part-time | Programme |
Probability and StatisticsResearch in this area spans: Multivariate statistical analysis; Time series analysis; Statistical modelling in market research; Optimal experimental design; Stochastic global optimisation; Change point detection; Probabilistic methods in search and number theory; Fisheries; Medical statistics; Random fields; Mathematical finance. |
PhD, MPhil | Full-time, Part-time | Area |
CombinatoricsThis project will develop knowledge and skills in several general areas of algebraic, geometric and enumerative combinatorics, including polytope theory, poset theory and symmetric function theory. |
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Combinatorial optimisationThis project will focus combinatorial optimisation. |
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Nonlinear acoustic-gravity wave theoryThis project focuses on the recent finding that acoustic and gravity wave motion could exchange energy via resonant triad nonlinear interactions. |
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Tunable THz laser sourceThis project will involve the design, fabrication and characterisation of such a source, based on the non-linear optical process of difference frequency generation in an integrated semiconductor laser structure. |
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Early detection of tsunami by acoustic-gravity wavesThis project will develop various mathematical techniques and methods, with a focus on perturbation methods, asymptotic analysis, and separation of variables, to solve the general wave equation for a three-dimensional space. |
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Holomorphic Representations of the Braid GroupThis project will deal with certain ‘holomorphic’ representations of braid groups and study the dependence on an underlying ‘R-matrix’. |
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Spectral Theory of Differential OperatorsSpectral Theory of Differential Operators is characterised by a combination of functional and harmonic analysis with classical real and complex analysis, special functions and the asymptotic analysis of differential equations. |
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On multi-dimensional continued fractionsThis project will establish analytic bounds for the accuracy of the convergents for the multi-dimensional continued fraction algorithm. |
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Interface evolution in random environmentThe main goal of this project is to develop mathematical methods for the mathematically rigorous analysis of the properties of interfaces evolving in a heterogeneous, random environment, described on a small scale by nonlinear PDEs with random coefficients. |
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Modelling of sporting events using artificial intelligence and statistical methods for big dataThis project aims at systematizing and comparing different models and applying them for predicting outcomes of different sporting events |
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Automated Searches for Ultra-Diffuse Emission from StarsWe are particularly interested in the fraction of stars that lie outside of easily recognised galactic structures as a means of tracing the assembly history of dark matter haloes of various masses. |
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Radiation of acoustic-gravity waves by an impacting objectThis PhD project will focus on developing the computational mathematical model into a three-dimensional space. |
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Hawkes processes and financial applicationsThis project aims to answer novel but cutting edge questions, such as convergence of multivariate Hawkes processes, forecasting ability of incorporating Hawkes processes into various risk modelling and calibration of them. |
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Combinatorial optimisation, operational research, graph theory, algorithmsIn this project you will learn about different methods for tackling combinatorial optimisation problems using both exact and approximate (heuristic) algorithms. |
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Categorification of generalised braidsThis project will work either on further developing the currently in-demand theories of spherical and P-functors, or on computing our first examples of Grassmanian functors. |
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Lie groups and twisted K-theoryThis project deals with the computation of the characteristic classes of these twists in rational cohomology. |
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Design of experiments in regression models with correlated observationsThis project is interdisciplinary in nature and will include elements of theoretical probability and applied statistics. |
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Low rank approximations of matrices with a focus on statistical applicationsThis project will investigate the structured low-rank approximation (SLRA) problem. |
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Spectral approximation on metric graphs, on manifolds, and for systems of differential equationsThis project will focus on the spectral approximation on metric graphs, on manifolds, and for systems of differential equations. |
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Remote control of gas-liquid flow in horizontal pipelinesThis project will further develop existing mathematical models for the co-current gas/liquid flow in horizontal pipes. |
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Optimal tidal power generationThe aim of this project is to develop a statistical model for the error between the slow but accurate numerical model for water height, and the fast but inaccurate model. |
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Problems in semiclassical analysis with an emphasis on quantum chaosParticipants in this PhD project will gain exposure to a variety of ideas from microlocal analysis and how they are used in problems initiated with the field of quantum mechanics, more specifically quantum chaos. |
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