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

Applications are made online via the NUI Galway Postgraduate Applications System

Associated

Learning Outcomes

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.

Who’s Suited to This Course

Current research projects

Current funded research opportunity

Work Placement

Related Student Organisations

Career Opportunities

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

Research Areas

Algebra

  • 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.

Researcher Profiles

Course Fees

Fees: EU

€5,250 p.a. 2018/19

Fees: Non EU

€14,250 p.a. 2018/19

Extra Information

EU Part time:  Year 1 [2018/19] €3,575. p.a.

 

Contact Us

Dr. Niall Madden | Mary Kelly
T +353 91 493 803 | +353 91 492 332
E niall.madden@nuigalway.ie | mary.kelly@nuigalway.ie
http://larmor.nuigalway.ie/

What Our Students Say

Pádraig

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.