Model Theory, Quadratic and Hermitian Forms, Real Algebra and Geometry

Geometry of Banach Spaces, Analytic Mappings on Infinite Dimensional Banach Spaces, Functional Analysis Methods in Function

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Algebraic coding theory, codes over rings, codes and graphs, network coding, finite rings & fields, Groebner bases, decoding algorithms, APN functions, algebra in communications

Fluid Dynamics and Turbulence, Nonlinear PDEs, Hamiltonian Methods and Integrable Systems

Algebraic Number Theory, Iwasawa theory of automorphic motives and their deformations, Euler systems.

Functional Data Analysis, Differential Equations, Financial instruments, Biological systems and Climatology

Assoc Prof Ted Cox

Nonlinear wave-propagation phenomena

Mathematics and statistics support at the university and pre-university (Foundation year) levels

Climate Change, Land Use Change, Food Security, and Geoengineering

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Partial Differential Equations, Free-surface Flows, Wave energy

Dynamical systems, Ergodic theory

Discrete Mathematics, Combinatorics, Applications of discrete mathematics and Combinatorics to the study of complex systems

Mr Colm Fitzgerald

Risk and the psychology of risk, enterprise risk management, economics and banking, investment and financial markets, climate change, forestry, applying classical thought

Clustering and Classification, High-Dimensional Data Analysis, Statistical Modelling, Statistical Network Analysis

Statistical Network Analysis, Spatial Statistics, Bayesian Statistics, Markov chain Monte Carlo methods, Stochastic Processes

Potential theory, Function theory, Approximation

Partial Differential Equations, Nonlinear Analysis, Potential Theory

Statistical models, bayesian statistics, fast inferential approaches, statistical network analysis

Statistical Methodology, Bayesian Methods, Applied Statistics

Assoc Professor Marcus Greferath

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Dr Garrett Greene

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Representation Theory, Coding Theory, Wireless Sensor Network

Algebraic K-theory, Homological Algebra, Number Theory

Spatial Modelling, Veterinary Epidemiology, Forest Analytics

Jordan Structures in Analysis

Finite Mathematics, Coding, Cryptography, Computation, Algebraic Number Theory, Algebraic Geometry

Complex Analysis, Symmetric Manifolds and Jordan Triple Systems, Clustering, Classification and Network Analysis

Bayesian Statistics, Statistical Network Analysis, Monte Carlo Methods

Functional Analysis, Operator Algebras, Operator Spaces, Quantum Information Theory

Research Interests: Potential Theory, Complex Analysis, Function Theory, Approximation

Mathematics Education at the university level; supporting students in large first year mathematics courses; noticing as a form of professional development; mathematics support

Mathematics Education at post-primary level, initial teacher education, teacher professional development, Lesson Study, developing pedagogical content knowledge

Probability, random matrices, combinatorics, representation theory, integrable systems, mathematical physics

Tail Dependence, Clustering, Copulas, Political Science

Two-Phase Flows, Turbulence, Stability Theory, High-Performance Computing

Number Theory, Q-Series, Modular Forms

General relativity, Quantum field theory in curved space-time

Pde, Calculus of Variations, Stochastic Analysis, Financial Derivatives, Volatility Surface

Statistical Modelling, Computational Statistics, Statistical Network Analysis.

Computational Harmonic Analysis, Complex Analysis, Geometric Modelling

Bayesian Statistics, Statistical Modelling, Statistical Genetics.

Semifields, Nonassociative Algebras, Rank-Metric Coding, Random Network Coding, Tensors

Theory and applications of nonnegative matrices, Combinatorial matrix theory, Algebra lengths, Power series with positive coefficients

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Banach Space Geometry and Structure, and connections with Set theory and Topology

Dynamical Systems (Ergodic Theory, Symbolic Dynamics) Fractal Geometry, Multifractal Analysis, Dimension Theory, Fourier Analysis

Probabilistic Forecasting, Climate Modelling, Statistical Post-Processing

Quadratic and Hermitian Forms, Algebras with Involution, Real Algebra and Geometry, and Applications of Algebra (e.g. Space-Time coding

Gravitational waves, black holes, extreme mass ratio inspirals, intermediate mass ratio inspirals, general relativity, numerical modeling, geodesic motion in black hole spacetimes

General Relativity, Gravitational Waves, Black Holes, Cosmic Strings, High-performance Computing

Longevity Modelling and Evaluation of Systems of Pension Provision

Dr Suzy Whoriskey

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