Areas of Faculty Research
Mathematics: |
Statistics: |
Mathematics:
Algebra
Topics: associative and nonassociative ring theory, enveloping algebras, graded rings, group rings, Hopf algebra, infinite group theory, Lie algebras and representation theory, loop theory, module theory.
Faculty: Bahturin, Goodaire, Kotchetov, Martinez-Pedroza, Parmenter, Usefi, Zhou
More information: Atlantic Algebra Centre
Analysis
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.
Faculty: Brunner, Merkli, Niu, Ou, Watson, Xiao, Ye, Zhao
Combinatorics
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
Differential Equations and Dynamical Systems
Topics: continuous and discrete dynamical systems and their applications; control theory; ordinary, functional and partial differential equations.
Faculty: Brunner, Foster, Hurford, Niu, Ou, Summers, Yuan, Zhao
More information: Differential Equations and Dynamical Systems Group
Fluid Mechanics
Topics: boundary-layer theory, discrete vortex methods, flow induced vibrations, geophysical fluid dynamics, Navier-Stokes problems, turbulence, viscous flow.
More information: Fluid Mechanics Group
Geometry and Topology
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.
Faculty: Baird, P. Booth, Heath, Martinez-Pedroza
Mathematical Methods and Modelling / Numerical Optimization
Topics: asymptotics, mathematical/numerical modelling of biological systems, neural networks, numerical optimization, perturbation methods, variational methods.
Faculty: Alam, Foster, Haynes, Hurford, Kocabiyik, Kondratieva, Ou, Sadov, Summers, Yuan, Zhao
Mathematical Physics
Topics: black hole physics, quantum mechanics, quantum dynamical systems, quantum resonance theory, general relativity, theoretical space physics.
Faculty: I. Booth, Kondratieva, Kunduri, Merkli, Niu, Radford, Sadov, Summers, Ye
Numerical Analysis and Scientific Computation
Topics: adaptive wavelet methods, lifting scheme, finite difference methods for ordinary and partial differential equations, moving mesh methods, multigrid methods, numerical linear algebra, Volterra integral and integro-differential equations.
Faculty: Alam, Brunner, Foster, Haynes, Kocabiyik, Sadov
Statistics:
Biostatistics
Topics: familial models, longitudinal design and analysis of clinical trials, generalized quasi-likelihood inference, longitudinal models, missing data models, multiple comparison, survival analysis.
Faculty: Abarin, Cigsar, Fan, Oyet, Sutradhar, Yilmaz
Business and Industrial Statistics
Topics: experimental design, process and quality control, quality management.
Faculty: Cigsar, Oyet, Variyath
Econometric Models
Topics: binary and count panel data models, dynamic probit and logit models, generalized quasi-likelihood inferences, linear dynamic mixed models, measurement errors.
Faculty: Abarin, Fan, Loredo-Osti, Oyet, Sutradhar
Environmental and Financial Processes
Topics: regression models for time series data, spatial temporal models, volatility models for discrete and continuous time series.
Faculty: Loredo-Osti, Sutradhar, Variyath
General Applied Statistics
Topics: capture re-capture models, categorical data analysis, classification, lifetime data models, linear and non-linear regression models, stock assessment in fisheries.
Faculty: Abarin, Cadigan, Cigsar, Fan, Gadag, Loredo-Osti, Oyet, Sutradhar, Variyath, Ye, Yilmaz
Non-Parametric Statistics
Topics: density estimation, kernel inferences, non-parametric regression, wavelet inference, semi-parametric regression.
Faculty: Oyet, Sutradhar, Ye, Yilmaz
Sampling
Topics: familial models for survey data, longitudinal models for survey data, successive substitution sampling.
Faculty: Abarin, Cadigan, Cigsar, Loredo-Osti, Sutradhar, Yilmaz
Statistical Genetics
Topics: analysis of complex traits, genetic architecture pedigree, genomic data, pattern recognition for high-dimensional data.
Faculty: Loredo-Osti, Yilmaz
Theory of Statistics and Probability
Topics: branching process, brandit problems, distribution theory, inference for statistic process, order statistics, power divengence statistics, probability, robust inference in the presence of outliers.
Faculty: Abarin, Cigsar, Fan, Gadag, Loredo-Osti, Oyet, Sutradhar, Wang, Ye, Yilmaz