Mathematics - Structured

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.

Entry requirements

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.

Application dates

Structured PhD (Mathematics)—full-time
Structured PhD (Mathematics)—part-time

Applications are made online via the NUI Galway Postgraduate Applications System.


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

More details
  • Qualification letters


  • Qualifications

    Degree - Doctoral (Level 10 NFQ)

  • Attendance type

    Full time,Part time,Daytime

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    Course provider