College of Arts, Social Sciences, & Celtic Studies,
School of Mathematics, Statistics and Applied Mathematics

Course overview

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, with a 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.

Recent graduates are now working as lecturers and postdoctoral researcher at third-level institutes. Others are working in industry, including banking and finance, and in the Meteorological Service.

Programmes available

MLitt (Mathematics), full-time
MLitt (Mathematics), part-time

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.

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.

Contact Us

Dr. Niall Madden | Mary Kelly
T +353 91 493 803 | +353 91 492 332
E |

PAC code

MLitt (full-time) GYB48
MLitt (part-time) GYB49

Fees for this course

EU: €4,275 p.a. 2016/17

Non-EU: €13,250 p.a. 2016/17

Ph.D. EU Full time programme:  €4,275 p.a. Ph.D. EU Part time programme:  €2,250 p.a.


How to Apply

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.

How to Apply