Areas of Faculty Research
Topics: associative and nonassociative ring theory, enveloping algebras, graded rings, group rings, Hopf algebras, infinite group theory, Lie algebras and representation theory, loop theory, module theory.
More information: Atlantic Algebra Centre
Topics: approximation theory, fixed point theorems, geometric analysis, harmonic and complex analysis, locally convex spaces, nonlinear analysis, nuclear and barrelled spaces, operator algebras and K-theory, operator theory, summability theory.
Topics: colourings of designs and graphs, computational combinatorics, covering and packing designs, design theory, graph factorizations and decompositions, graph labellings, graph searching, graph theory, pursuit evasion games, resolvable designs, Skolem sequences, transversal and group divisible designs.
More information: Combinatorics Group
Topics: continuous and discrete dynamical systems and their applications; control theory; ordinary, functional and partial differential equations.
More information: Differential Equations and Dynamical Systems Group
Topics: boundary-layer theory, discrete vortex methods, flow induced vibrations, geophysical fluid dynamics, Navier-Stokes problems, turbulence, viscous flow.
More information: Fluid Mechanics Group
Topics: classifying spaces and equivariant homotopy theory, cofibrations, equivariant cohomology theories, fibrations, geometric group theory, groups of self homotopy equivalences, Lie groups, low dimensional topology, metric spaces of non-positive curvature, moduli spaces, Nielsen numbers, symplectic geometry and hamiltonian actions, topological quantum field theories.
Topics: asymptotics, mathematical/numerical modelling of biological systems, neural networks, numerical optimization, perturbation methods, variational methods.
Topics: black hole physics, quantum mechanics, quantum dynamical systems, quantum resonance theory, general relativity, theoretical space physics.
Topics: adaptive wavelet methods, adaptive mesh methods for PDEs, multigrid methods, numerical linear algebra, computational fluid dynamics, numerical optimization
Topics: familial models, longitudinal design and analysis of clinical trials, generalized quasi-likelihood inference, longitudinal models, missing data models, multiple comparison, survival analysis.
Topics: experimental design, process and quality control, quality management.
Topics: binary and count panel data models, dynamic probit and logit models, generalized quasi-likelihood inferences, linear dynamic mixed models, measurement errors.
Topics: regression models for time series data, spatial temporal models, volatility models for discrete and continuous time series.
Topics: capture re-capture models, categorical data analysis, classification, lifetime data models, linear and non-linear regression models, stock assessment in fisheries.
Topics: density estimation, kernel inferences, non-parametric regression, wavelet inference, semi-parametric regression.
Topics: familial models for survey data, longitudinal models for survey data, successive substitution sampling.
Topics: analysis of complex traits, genetic architecture pedigree, genomic data, pattern recognition for high-dimensional data.
Topics: branching process, brandit problems, distribution theory, inference for statistic process, order statistics, power divengence statistics, probability, robust inference in the presence of outliers.