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Mathematics (Structured PhD)
Structured PhD (Arts, Humanities, and Social Sciences) (Mathematics)
College of Arts, Social Sciences, & Celtic Studies,
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)—part-time: GYG55
Areas of interest
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
- Prof. Ted Hurley
- Dr Kevin Jennings
- Dr Niall Madden
- Dr Aisling McCluskey
- Dr Michael McGettrick
- Prof. Donal O'Regan
- Dr Götz Pfeiffer
- Dr Rachel Quinlan
- Dr Claas Röver
- Dr Ray Ryan
- Dr Jerome N. Sheahan
- Dr Emil Sköldberg
- Dr James Ward
Ms Mary Kelly
School of Mathematics, Statistics, and Applied Mathematics
Recent graduates are working as (a) lecturers and postdoctoral researcher at third-level institutes, (b) in industry, including banking and finance, and (c) in the Meteorological Service.
- 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.
Fees for this course
EU: €4,275 p.a. 2016/17
Non-EU: €13,250 p.a. 2016/17
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.