Mathematics

College of Science,
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

PhD (Mathematics), full-time
PhD (Mathematics), part-time
MSc (Mathematics), full-time
MSc (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

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


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

Find out more

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/

PAC code

PhD (full-time) GYT25
PhD (part-time) GYT26
MSc (full-time) GYT27
MSc (part-time) GYT28

Fees for this course

EU: €4,529 (PhD); €6,815 (MSc)

Current Students

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. "

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