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About NUI Galway
About NUI Galway
Since 1845, NUI Galway has been sharing the highest quality teaching and research with Ireland and the world. Find out what makes our University so special – from our distinguished history to the latest news and campus developments.
Colleges & Schools
Colleges & Schools
NUI Galway has earned international recognition as a research-led university with a commitment to top quality teaching across a range of key areas of expertise.
Research & Innovation
Research & Innovation
NUI Galway’s vibrant research community take on some of the most pressing challenges of our times.
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At NUI Galway, we believe that the best learning takes place when you apply what you learn in a real world context. That's why many of our courses include work placements or community projects.
Mathematics (Structured PhD)
The research activity in Mathematics at NUI Galway covers a broad range of topics spanning Algebra, Analysis, Geometry and Topology. There is a particular strength in Computational Algebra, which has led to the establishment of de Brún Centre, whose mission is to support research in broad areas of algebra and its applications.
The various research groups within the discipline of Mathematics host a wide range of workshops, seminars and graduate courses, resulting in a unique and thriving graduate research programme with a strong international dimension.
As part of the doctoral training available on the Structured PhD programme, students select from a range of taught modules, including:
- graduate-level courses in Mathematics covering topics such as Advanced Algebra and Analysis, Geometry, Topology/Set Theory and Computational Mathematics;
- modules in Statistics, Bioinformatics and Applied Mathematics available from the cognate disciplines within the School of Maths;
- a wide range of interdisciplinary modules from other schools in the College of Arts, Humanities and Social Sciences;
- modules on core skills such as research methods, computing, communications, and languages;
- modules acknowledging a student’s professional development, including presentation of posters and paper at an International Conference
- modules to enhance a student’s employability through generic training e.g. Careers' Workshops, computing skills, etc.
Each student is assigned a primary Supervisor(s) and a Graduate Research Committee made up of experienced researchers to plan their programme of study and to provide on-going support to their research.
Structured PhD (Mathematics)—full-time
Structured PhD (Mathematics)—part-time
Applications are made online via the NUI Galway Postgraduate Applications System.
Candidates for the degree of PhD or MSc by research must have reached a high honours standard (minimum H2.2 [or equivalent international qualification] for an MSc) at the examination for the primary degree, or presented such other evidence as will satisfy the Head of School and the College of his/her fitness.
Who’s Suited to This Course
Current research projects
- Topological data analysis, with applications to medical imaging.
- The mathematics of finite fields, with applications to combinatorics and communications.
- An exploration of the experiences and approaches of students as they engage with the themes of abstract and theoretical mathematics at university, in particular mathematical proof.
Current funded research opportunity
Related Student Organisations
Find a Supervisor / PhD Project
If you are still looking for a potential supervisor or PhD project or would like to identify the key research interests of our academic staff and researchers, you can use our online portal to help in that search
Group theory including group varieties, representation theory of finite groups, associative and non-associative rings, and group rings, coding theory and cryptography.
Computational algebra including computational homological algebra, computational group theory, computational representation theory.
- Linear and Multilinear Algebra
- Finite Field Theory
- Analysis and Numerical Analysis:
Functional analysis, in particular tensor products, multilinear forms, polynomials and holomorphic functions on Banach spaces.
Non-linear analysis, including differential and integral equations, and fixed point theory.
Numerical analysis and computational differential equations.
- Geometry and Topology:
Differential geometry and the geometry and topology of Lie groups and homogeneous spaces
Analytic topology and order.
- Mathematics Education
- Dr Johnny Burns
- Dr James Cruickshank
- Dr Graham Ellis
- Dr Dane Flannery
- Dr Michael Hayes
- Prof. John Hinde
- Dr Emma Holian
- Dr Kevin Jennings
- Dr Niall Madden
- Dr Aisling McCluskey
- Dr Michael McGettrick
- Prof. Donal O'Regan
- Dr Götz Pfeiffer
- Kirsten Pfeiffer
- Dr Rachel Quinlan
- Tobias Rossman
- Dr Ray Ryan
- Dr Jerome N. Sheahan
- Dr Emil Sköldberg
Fees: Non EU
EU Part time: Year 1 [2021/22] €3,575. p.a.
Ms Mary Kelly
School of Mathematics, Statistics, and Applied Mathematics
What Our Students Say
Pádraig Ó Catháin | Computational Algebra
I love being a PhD student in Maths. It's given me the skills to analyse complex problems and uncover unexpected links between different topics. I also know that I am being prepared for either a career in academia or industry.