Structured PhD (Mathematics)
College of Science,
School of Mathematics, Statistics & Applied Maths.
All PhD students in the College of Science will enroll in a Structured PhD: www.nuigalway.ie/science/rgroups.html
Short summary of the research area.
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.
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
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,
See also: www.maths.nuigalway.ie/research/