Research Interests

General


Abelian and non-abelian lattices	W.E. Couch
Bayesian Statistics and Computation	David Scollnik
Markov Chain Monte Carlo and Related Simulation Methods	David Scollnik
Application of bootstrap techniques to approximate unknown limit distributions	Murray Burke
Applications to medicine and healthcare, optimal radiation therapy design	Yuriy Zinchenko
Assessment of diagnostic tests	Alexander de Leon
Asymptotic theory for goodness-of-fit-type statistics	Murray Burke
Bayesian statistics and its applications	Hyang Mi Kim
Biomedical applications of mathematics	Tasnima Abedin, Antony Ware
Case-control studies	Jingjing Wu
Category theory pertaining to topology: simplicial methods, the calculus of functors	Kristine Bauer
Chromatic number problems and Ramsey properties	Robert Woodrow
Computer Assisted Assessment	Marc Wrubleski
Continuum Mechanics	Ben Aggarwala
Control Theory	Mohammad Aliyu
Convexity	Karoly Bezdek
Convex Polytopes	Ryan Trelford
Copula models	Alexander de Leon
Covers for curves	Jonathan Schaer
Cutsets and fibres in partial orders	Bill Sands
Data Mining	Chao Qiu
Decision theory: investigation of optimal strategies in sequential decision problems extended to multiple players and the problem is reformulated in terms of game theory	Ernest Enns
Degenerate Elliptic Equations	Cristian Rios
Delay differential equations	Elena Braverman
Delay equations of population dynamics	Elena Braverman
Development of convex d-polytopes whose facial structure is determined by a total ordering of vertices	Ted Bisztriczky
Diagonalization of systems	Kok Wah Chang
Differential equations of an unusual type, e.g. containing discontinuous or set-valued right hand sides, with application to control theory	Paul Binding
Differential topology, the span of smooth manifolds	Peter Zvengrowski
Discrete Mathematics	Vlad Gheorghiu, Mike Stone, Ryan Trelford, Csaba Toth
Diverse problems of linear algebra and its applications, perturbation theory	Peter Lancaster
Econometrics, duration models and panel data analysis	Xuewen Lu
Edge colouring in graphs	Bill Sands
Efficiency and robustness	Jingjing Wu
Eigenvalue problems of an unusual type, e.g. containing several parameters, or of indefinite type; sample problems include oscillation of eigenfunctions, variational principles and asymptotics.	Paul Binding
e-Learning systems	Claude Laflamme
Emperical process	Gemai Chen
Empirical Bayes analysis	Jingjing Wu
Empirical likelihood	Xuewen Lu
Endomorphisms	Mike Stone
Endomorphisms of type I algebras	Berndt Brenken
Energy Modeling	Kaijie Cui, Elham Negahdary
Enumeration in partial orders and lattices	Bill Sands
Environmental statistics	Miloslav Nosal, Tasnima Abedin, Hyang Mi Kim
Equations with distributed delay	Elena Braverman
Evolutionary Equations	Cristian Rios
Exponential dichotomy	Kok Wah Chang
Extreme-value analysis	Gemai Chen
Functional data analysis methods applied to human gait.	Peter Ehlers
Function theory	Peter Zvengrowski
Fundamental groups of compact Kahler manifolds	Alex Brudnyi
Generalized linear/additive models and mixed models	Hyang Mi Kim, Xuewen Lu
Genomics	Jingjing Wu
Geometric Analysis and Rigidity	Karoly Bezdek
Global bounds on asymptotic bias and gross errors sensitivity	John Collins
Global properties of closed curves and surfaces	Jonathan Schaer
Goodness of fit	Gemai Chen
Graph theory	Richard Guy, Norbert Sauer
Graph theory, map colourings	Peter Zvengrowski
Group C*-algebras	Berndt Brenken
Hamiltonian Systems	Mohammad Aliyu
Hardware devices	Hugh Williams
High dimensional data analysis, survival analysis	Gemai Chen
High Performance Computing and Scientific Computation	Wenyuan Liao
High Performance Computing systems	Marc Wrubleski
HIV/AIDS	Ben Aggarwala
Homogeneous structures and their applications to infinite group actions	Robert Woodrow
Homological algebra	Kristine Bauer
Homological methods in group theory and low dimensional toplogy	Kalathoor Varadarajan
Identities in Transformation Monoids	Mike Stone
Improving lower bounds on the maximum number of vertices in planar networks with given diameter and maximum degree	Karen Seyffarth
Impulsive equations	Elena Braverman
Information Systems Design	Marc Wrubleski
Integrable Systems	W.E. Couch
Inverse Modeling and Adjoint Analysis	Wenyuan Liao
K-theory	Berndt Brenken
Laplace sequence	W.E. Couch
Limit cycles and the distribution of zeros of families of analytic functions	Alex Brudnyi
Local inequalities for holomorphic and plurisubharmonic functions	Alex Brudnyi
Logistic equations	Elena Braverman
Markovs inequality on sets with cusps and its relation to other phenomenon such as Sobolev-type inequalities and the extension of C (infinity) functions	Len Bos
Mathematical Cryptology	Renate Scheidler
Mathematical Modeling	Elham Negahdary
Mathematics Education	Sarah Chisholm, Mike Stone
Maximal ideals of the space of bounded analytic functions and matrix-valued corona theorem	Alex Brudnyi
Methods for adjusting measurement error	Hyang Mi Kim
Methods for correlated data	Alexander de Leon
Minimax asymptotic variance theory	John Collins
Minimum distance estimation	Jingjing Wu
Minimum energy problems for musculoskeletal models.	Paul Binding
Mixture models	Jingjing Wu
Models for mixed discrete and continuous outcomes	Alexander de Leon
Monge-Ampere Equations	Cristian Rios
Monte-Carlo Methods	Elham Negahdary
Morphic rings and modules	W. Keith Nicholson
Multi-state models	Karen Kopciuk
My research interests are in the general areas of global Analysis and Differential Geometry, and more specifically in applications of modern analysis to questions in Hamiltonian mechanics and Differential Geometry	Larry Bates
Network and computer systems	Marc Wrubleski
Noncommutative rings, especially classes of exchange rings	W. Keith Nicholson
Non-commutative tori and solenoids	Berndt Brenken
Non-linear time series modelling of environmental changes	Gemai Chen
Non/semi-parametric models	Jingjing Wu
Non/semi-parametric regression	Xuewen Lu, Tasnima Abedin, Hyang Mi Kim
Numerical analysis	Antony Ware
Numerical solution of partial differential equations	Elena Braverman
Numerical Solution of PDEs and ODEs	Wenyuan Liao
Numerical solution of unsteady convection-diffusion problems	Antony Ware
Operations research	Ernest Enns
Operations research, optimization algorithms and software	Yuriy Zinchenko
Ordered sets and applications	Robert Woodrow
Ordinary and Partial Differential Equations	Ben Aggarwala
Parametric & Non-parametric regression	Gemai Chen
Partially ordered sets	Norbert Sauer
Periodic and Almost Periodic Solutions	Kok Wah Chang
Population Biology	Ben Aggarwala
Predictive microbiology modeling	Xuewen Lu
Probability Theory	Nelson Vadori
Problems in ring theory and homological algebra	Kalathoor Varadarajan
Pseudo- and composite likelihood methods	Alexander de Leon
Pure and applied logic	Claude Laflamme
Quality Control	Gemai Chen
Quasilinear and Fully Nonlinear Partial Differential Equations	Cristian Rios
Ramsey theory	Norbert Sauer
Ramsey theory and applications	Jakub Jasinski
Reduction theory	Larry Bates
Reflexivity of direct sums of modules over finite dimensional algebras	W. Keith Nicholson
Regression/Logistic regression models	Jingjing Wu
Relational structures	Norbert Sauer
Renewal Risk Processes	Rohana Ambagaspitiya
Representation of C* - algebras	Berndt Brenken
Robust estimation theory for location, scale and regression models	John Collins
Sample survey	Gemai Chen
Scientific parallel computing and high-performance linear algebra	Yuriy Zinchenko
Seismic Inversion & Applications	Wenyuan Liao
Set theory	Norbert Sauer, Claude Laflamme
Singular perturbations (theory and applications)	Kok Wah Chang
Small cycle double covers of line graphs and small cycle double covers of products of graphs	Karen Seyffarth
Spectral methods of numerical analysis	Elena Braverman
Stability	Kok Wah Chang
Statistical genetics	Karen Kopciuk
Statistical problems in medicine	Alexander de Leon
Stochastic Calculus	Chao Qiu, Dimbinirina Ramarimbahoaka, Elham Negahdary, Nelson Vadori
Stochastic geometry; distributions of the lengths of random secants and rays in n-dimensional convex regions generated in one region and terminating in another;	Ernest Enns
Study of acyclicity of certain homeomorphism groups and problems on imbedding large free groups into homeomorphism groups	Kalathoor Varadarajan
Study of classes of semiperfect min-injective rings, with applications to the Faith conjecture and other questions	W. Keith Nicholson
Study of clean rings and their relationship to unit regular and stable rings	W. Keith Nicholson
Study of Hopfian and co-Hopfian objects in various categories	Kalathoor Varadarajan
Survival analysis	Karen Kopciuk, Jingjing Wu, Nasrin AFZAL
Survival analysis and randomly censored data	Murray Burke
Survival analysis, frailty models and censored data analysis	Xuewen Lu
Tangential Markov/Bernstein inequalities on manifolds	Len Bos
Tests for semi-parametric models	Murray Burke
The analysis of numerical methods relevant to spectral and factorization problems for matrix and operator functions stimulated by problems in the theory of vibrations, systems theory and control	Peter Lancaster
Theoretical physics, relativistic kink theory	Peter Zvengrowski
Theory of Computing	Csaba Toth
Theory of homogeneous structures	Norbert Sauer
Theory of Relations (a branch of model theory in mathematical logic, and its applications to combinatorics)	Robert Woodrow
The profile of a relational structure and the spectra of ages	Robert Woodrow
The solution of linear and nonlinear equations in matrices and operators.	Peter Lancaster
Topology of 3-manifolds	Peter Zvengrowski
Trusted Environment Lab	Marc Wrubleski
Universal algebra	Norbert Sauer
Upper bounds on domination numbers of certain classes of graphs	Karen Seyffarth
Wavelets	Antony Ware
We are continuing the study of Hamiltonian systems with nonholonomic constraints.	Larry Bates
Weighted splines and minimum norm networks	Len Bos

Actuarial Science


Actuarial Science	David Scollnik

Applied Probability and Applied Statistics


Actuarial Statistics	Chao Qiu
Applications of Statistics	Tasnima Abedin, Miloslav Nosal, Hyang Mi Kim
Inhomogeneous Random Evolutions on Banach Spaces	Nelson Vadori

Topology and Algebraic Geometry


Algebraic and Arithmetic Geometry	Sarah Chisholm, Clifton Cunningham
Algebraic topology and homotopy theory	Kristine Bauer

Number Theory


Algebraic Curves	Seyed Lavasani
Algebraic Number Theory	Perlas Caranay, Mark Bauer, Colin Weir
Algorithmic Number Theory	Colin Weir, Renate Scheidler, Seyed Lavasani
Computational Number Theory	Colin Weir, Mark Bauer, Hugh Williams
Determination of polynomials that are prime for consecutive values of the argument.	Richard Mollin
Diophantine equations (polynomial-exponential equations and the use of restricted irrationality measures)	Mark Bauer
Elementary number theory	Richard Mollin
Langlands Programme	Clifton Cunningham
Modular Forms	Sarah Chisholm
Number Theory	Perlas Caranay, Sarah Chisholm, Richard Guy
Use of central norms to find solutions of Diophantine equations.	Richard Mollin
Using binary quadratic forms to study residuacity and prime representation.	Richard Mollin

Cryptography


Algorithms and Complexity	Seyed Lavasani
Cryptography	Sarah Chisholm
Elliptic and Hyperelliptic Curve Cryptography.	Colin Weir
Elliptic Curves	Sarah Chisholm
Function fields and their applications in cryptography	Seyed Lavasani, Colin Weir, Mark Bauer

Analysis


Analysis and Partial Differential Equations	Timur Akhunov, Cristian Rios
C*-algebras	Michael Lamoureux
C*-dynamical systems	Berndt Brenken, Michael Lamoureux
Dispersive, Strichartz and Local smoothing estimates	Timur Akhunov
Functional analysis	Michael Lamoureux
Noncommutative Geometry	Michael Lamoureux
Non-self-adjoint operator algebras	Michael Lamoureux

BioStatistics


Biostatistics	Jingjing Wu, Nasrin AFZAL, Tasnima Abedin, Hyang Mi Kim

General Relativity


Black holes	W.E. Couch
Cosmology	W.E. Couch
Gravitational Radiation	W.E. Couch
Integrable Subsystems	W.E. Couch

Combinatorics, Geometry and Logic


Combinatorial Games	Richard Guy
Combinatorial Geometry	Richard Guy, Karoly Bezdek, Csaba Toth, Ryan Trelford
Differential Geometry	Karoly Bezdek, Mohammad Aliyu
Enumerative Combinatorics	Richard Guy
Geometry	Mike Stone, Ryan Trelford
Hyperbolic and Spherical Geometry	Karoly Bezdek
Mathematical programming with applications to computational geometry	Yuriy Zinchenko
Stochastic geometry problems and applications to stereology.	Peter Ehlers

Mathematical Finance


Computational finance	Kaijie Cui, Antony Ware
Financial & Economic model building and forecasting	Gemai Chen
Financial mathematics	Kaijie Cui, Nelson Vadori
financial mathematics; biomathematics; random evolutions and their applications; stochastic calculus	Anatoliy Swishchuk
Mathematical finance	David Scollnik, Dimbinirina Ramarimbahoaka
Stochastic investment models	Chao Qiu

Industrial Mathematics


Computational Methods for Inverse Problem	Wenyuan Liao
Mathematical modelling and the application of mathematics, especially perturbation and numerical methods, to industrial problems	Rex Westbrook, Wenyuan Liao
PDE-Based Image Processing	Wenyuan Liao

Mathematical Physics


Differential Spaces	Jedrzej Sniatycki, Mohammad Aliyu
Geometric quantization	Jedrzej Sniatycki
Hamiltonian mechanics	Mohammad Aliyu, Jedrzej Sniatycki
Mathematical physics	Mohammad Aliyu
Multisymplectic systems	Jedrzej Sniatycki
Non-holonomic constraints	Mohammad Aliyu, Jedrzej Sniatycki
Symplectic geometry	Jedrzej Sniatycki, Mohammad Aliyu
Yang-Mills theory	Jedrzej Sniatycki

Computational Discrete Geometry


Discrete Geometry	Ryan Trelford, Karoly Bezdek, Ted Bisztriczky, Joseph Ling
Erdos-Szekeres Type Problems	Ted Bisztriczky
Hyperplane Separations	Ted Bisztriczky, Ryan Trelford
Transversals	Ted Bisztriczky

Quantum Information Science


Foundations of Quantum Mechanics	Gilad Gour
Quantum Information Science	Vlad Gheorghiu, Gilad Gour

Applications


Mathematics of wave propagation and seismic imaging	Michael Lamoureux
Numerical methods and applications to geophysics	Michael Lamoureux, Wenyuan Liao
Numerical PDEs	Michael Lamoureux

Statistics


Statistical computing	Miloslav Nosal
Statistical consulting	Gemai Chen, Xuewen Lu, Miloslav Nosal

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Research Interests

General

Actuarial Science

Applied Probability and Applied Statistics

Topology and Algebraic Geometry

Number Theory

Cryptography

Analysis

BioStatistics

General Relativity

Combinatorics, Geometry and Logic

Mathematical Finance

Industrial Mathematics

Mathematical Physics

Computational Discrete Geometry

Quantum Information Science

Applications

Statistics

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