Areas of Faculty Research
Mathematics: |
Statistics: |
Mathematics:
Algebra
Topics: associative and nonassociative ring theory, graded rings, group rings, Hopf algebra, Infinite group theory Lie algebras and representation theory, loop theory, module theory.
Faculty: Bahturin, Goodaire, Kotchetov, Parmenter, Zhou, Usefi, Martinez-Pedroza
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, Zhao, Ye
Combinatorics
Topics: computational combinatorics, covering and packing designs, graph factorizations and decompositions, graph labellings, graph searching, pursuit evasion games, resolvable designs, Skolem sequences, transversal and group divisible designs
Faculty: Dyer, Pike, Rees, Shalaby
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 flows, Navier-Stokes problems, turbulence, viscous flow
More information: Fluid Mechanics Group
Geometry and Topology
Topics: classifying spaces and equivariant homotopy theory, cofibrations, fibrations, groups of self homotopy equivalences, Low dimensional topology, Nielsen numbers
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, spectral methods, variational methods, wavelet methods
Faculty: Alam, Foster, Haynes, Hurford, Kocabiyik, Kondratieva, Ou, Sadov, Summers, Yuan, Zhao
Mathematical Physics
Topics: blackhole physics, quantum mechanics, quantum dynamical systems, quantum resonance theory, general relativity, theoretical space physics
Faculty: I. Booth, Kondratieva, Merkli, Radford, Sadov, Summers, Niu, Ye, Kunduri
Numerical Analysis and Scientific Computation
Topics: moduli spaces, nonlinear evolution equations, numerical methods for ordinary and partial differential equations, representation varieties, symplectic geometry and hamiltonian actions, 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: Fan, Oyet, Sutradhar, Abarin
Business and Industrial Statistics
Topics: experimental design, process and quality control, quality management.
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: Fan, Loredo-Osti, Oyet, Sutradhar, Abarin
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: Cadigan, Fan, Gadag, Loredo-Osti, Oyet, Sutradhar, Variyath, Ye, Abarin
Non-Parametric Statistics
Topics: density estimation, kernel inferences, non-parametric regression, wavelet inference, semi-parametric regression.
Sampling
Topics: familial models for survey data, longitudinal models for survey data, successive substitution sampling.
Faculty: Cadigan, Loredo-Osti, Sutradhar, Abarin
Statistical Genetics
Topics: analysis of complex traits, genetic architecture pedigree, genomic data, pattern recognition for high-dimensional data.
Faculty: Loredo-Osti
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: Fan, Gadag, Loredo-Osti, Oyet, Sutradhar, Wang, Ye, Abarin
