University of Calgary

Research Interests

General

Abelian and non-abelian latticesW.E. Couch
Bayesian Statistics and ComputationDavid Scollnik, Thierry Chekouo , Rob Deardon
Markov Chain Monte Carlo and Related Simulation MethodsYixin Zhu, Kris Vasudevan, Chenhui Hao, Ruoyu Li, Michael Cavers, David Scollnik, Rob Deardon, Thierry Chekouo , Qiyue He
Application of bootstrap techniques to approximate unknown limit distributionsMurray Burke
Applications to medicine and healthcare, optimal radiation therapy designYuriy Zinchenko
Assessment of diagnostic testsAlexander de Leon
Asymptotic theory for goodness-of-fit-type statisticsMurray Burke
Bayesian statistics and its applicationsThierry Chekouo , Md. Shaddam Hossain Bagmar
Biomedical applications of mathematicsAntony Ware
Category Theory and Topos TheoryGeoff Vooys
Chromatic number problems and Ramsey propertiesRobert Woodrow
Classification and clusteringJingjing Wu
Complex networkQi Guo
Continuum MechanicsBen Aggarwala
Control TheoryJinniao Qiu
ConvexityKaroly Bezdek
Copula modelsKatherine Burak, Alexander de Leon
Covers for curvesJonathan Schaer
Cutsets and fibres in partial ordersBill Sands
Decision theory: investigation of optimal strategies in sequential decision problems extended to multiple players and the problem is reformulated in terms of game theoryErnest Enns
Degenerate Elliptic EquationsCristian Rios
Delay differential equationsYanina Bazhan, Elena Braverman
Delay equations of population dynamicsElena Braverman
Development of convex d-polytopes whose facial structure is determined by a total ordering of verticesTed Bisztriczky
Differential equations of an unusual type, e.g. containing discontinuous or set-valued right hand sides, with application to control theoryPaul Binding
Differential topology, the span of smooth manifoldsPeter Zvengrowski
Discrete MathematicsMichael Cavers, Ryan Morrill, Mike Stone
Diverse problems of linear algebra and its applications, perturbation theoryPeter Lancaster
Econometrics, duration models and panel data analysisCe Zhang, Na Zhang
Edge colouring in graphsBill Sands
Efficiency and robustnessJingjing Wu
Eigenvalue ProblemsKris Vasudevan
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 systemsClaude Laflamme
Emperical processGemai Chen
Empirical likelihoodXuewen Lu
EndomorphismsMike Stone
Energy ModelingWeiliang Lu
Enumeration in partial orders and latticesBill Sands
Environmental statisticsMiloslav Nosal
Equations with distributed delayElena Braverman
Estimating functions and estimating equationsAlexander de Leon
Evolutionary EquationsCristian Rios
Extreme-value analysisGemai Chen
Feature selectionJingjing Wu
Functional data analysisThierry Chekouo
Functional data analysis methods applied to human gait.Peter Ehlers
Function theoryPeter Zvengrowski
Fundamental groups of compact Kahler manifoldsAlex Brudnyi
Generalized linear/additive models and mixed modelsXuewen Lu
Generalized Linear ModelsKris Vasudevan, Hua Shen
Geometric Analysis and RigidityKaroly Bezdek
Global bounds on asymptotic bias and gross errors sensitivityJohn Collins
Global properties of closed curves and surfacesJonathan Schaer
Goodness of fitClaudia Mahler, Gemai Chen
Graph theoryKris Vasudevan, Richard Guy, Norbert Sauer, Michael Cavers, Claude Laflamme
Graph theory, map colouringsPeter Zvengrowski
Hardware devicesHugh Williams
High dimensional data analysis, survival analysisGemai Chen
High Performance Computing and Scientific ComputationWenyuan Liao
HIV/AIDSBen Aggarwala
Homogeneous structures and their applications to infinite group actionsRobert Woodrow
Homological algebraKristine Bauer, Geoff Vooys
Homological methods in group theory and low dimensional toplogyKalathoor Varadarajan
Identities in Transformation MonoidsMike Stone
Impulsive equationsElena Braverman
Integrable SystemsW.E. Couch
Inverse modeling & Indudstrial applications(particularly, oil reservoir simulation)Wenyuan Liao, Hatef Dastour
Inverse ProblemsHatef Dastour
Joint modelsAlexander de Leon
K-theoryB. Brenken
Laplace sequenceW.E. Couch
Limit cycles and the distribution of zeros of families of analytic functionsAlex Brudnyi
Local inequalities for holomorphic and plurisubharmonic functionsAlex Brudnyi
Logistic equationsElena Braverman
Markovs inequality on sets with cusps and its relation to other phenomenon such as Sobolev-type inequalities and the extension of C (infinity) functionsLen Bos
Mathematical CryptologyRenate Scheidler
Mathematical GeophysicsMichael Cavers
Mathematical ModelingKris Vasudevan, Qian Wang, Qi Guo
Mathematics EducationMike Stone, Michael Cavers
Maximal ideals of the space of bounded analytic functions and matrix-valued corona theoremAlex Brudnyi
Methods for correlated dataAlexander de Leon
Minimax asymptotic variance theoryJohn Collins
Minimum distance estimationJingjing Wu
Minimum energy problems for musculoskeletal models.Paul Binding
Mixed effects modelsAlexander de Leon
Mixture modelsKatherine Burak, Jingjing Wu
Modelling Biological SystemsRob Deardon
Models for mixed discrete and continuous outcomesAlexander de Leon, Katherine Burak
Monge-Ampere EquationsCristian Rios
Multi-state modelsKaren 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 GeometryLarry Bates
Noncommutative rings, especially classes of exchange ringsW. Keith Nicholson
Non-linear time series modelling of environmental changesGemai Chen
Nonparametric StatisticsCe Zhang
Non/semi-parametric modelsJingjing Wu
Numerical analysisAntony Ware, Mohammed Aiffa
Numerical Methods for PDEWenyuan Liao
Numerical solution of partial differential equationsHatef Dastour
Numerical Solution of PDEsMd Hasib Uddin Molla
Numerical solution of unsteady convection-diffusion problemsAntony Ware
Operations researchErnest Enns, Jinniao Qiu, Yuriy Zinchenko, Deniz Sezer
Operations research, optimization algorithms and softwareYuriy Zinchenko
Operator AlgebrasRyan Hamilton, B. Brenken
Ordered sets and applicationsRobert Woodrow
Ordinary and Partial Differential EquationsBen Aggarwala
Parametric & Non-parametric regressionGemai Chen
Partially ordered setsNorbert Sauer
Population BiologyBen Aggarwala
Probability TheoryJIANG LI, Deniz Sezer, Wenning Wei
Problems in ring theory and homological algebraKalathoor Varadarajan
Pseudo- and composite likelihood methodsAlexander de Leon
Quality ControlGemai Chen
Quasilinear and Fully Nonlinear Partial Differential EquationsCristian Rios, Jinniao Qiu
Ramsey theoryNorbert Sauer
Reduction theoryLarry Bates
Regression/Logistic regression modelsClaudia Mahler, Jingjing Wu
Relational structuresNorbert Sauer
Reliability TheoryXuewen Lu
Renewal Risk ProcessesRohana Ambagaspitiya
Robust estimation theory for location, scale and regression modelsJohn Collins
Sample surveyGemai Chen
Scientific parallel computing and high-performance linear algebraYuriy Zinchenko, Qihe Liang
Seismic Inversion & ApplicationsWenyuan Liao
Set theoryClaude Laflamme, Norbert Sauer, Davoud Abdi
Spectral methods of numerical analysisMd Hasib Uddin Molla
Statistical geneticsKaren Kopciuk
Statistical problems in medicineAlexander de Leon
Stochastic CalculusWenning Wei, Qiyue He, Qi Guo, Jinniao Qiu, Zhenyan Liu
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 groupsKalathoor Varadarajan
Study of clean rings and their relationship to unit regular and stable ringsW. Keith Nicholson
Study of Hopfian and co-Hopfian objects in various categoriesKalathoor Varadarajan
Survival analysisLing-Yee Sze, Jingjing Wu, JIANG LI, Ce Zhang, Karen Kopciuk
Survival analysis and randomly censored dataMurray Burke, Xuewen Lu
Tangential Markov/Bernstein inequalities on manifoldsLen Bos
Tests for semi-parametric modelsMurray 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 controlPeter Lancaster
Theoretical physics, relativistic kink theoryPeter Zvengrowski
Theory of homogeneous structuresNorbert Sauer, Claude Laflamme
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 agesRobert Woodrow
The solution of linear and nonlinear equations in matrices and operators.Peter Lancaster
Time SeriesKris Vasudevan, Md. Shaddam Hossain Bagmar
Topology of 3-manifoldsPeter Zvengrowski
Universal algebraNorbert Sauer
WaveletsAntony Ware
We are continuing the study of Hamiltonian systems with nonholonomic constraints.Larry Bates
Weighted splines and minimum norm networksLen Bos

Actuarial Science

Actuarial AnalysisMohanaGowri Arumugam
Actuarial ScienceDavid Scollnik, MohanaGowri Arumugam, Alexandru Badescu

Applied Probability and Applied Statistics

Actuarial StatisticsChao Qiu, Ana Roldan Contreras
Applications of StatisticsWeiliang Lu, Miloslav Nosal, Katherine Burak, Qian Wang, Xin Chen, Thierry Chekouo , Qiyue He, Claudia Mahler
Applied Probability ModelsXin Chen
Modeling of wind and solar energyDeniz Sezer
Spatio-temporal processesDeniz Sezer

Topology and Algebraic Geometry

Algebraic and Arithmetic GeometryClifton Cunningham, Geoff Vooys
Algebraic topology and homotopy theoryRachel Hardeman, Kristine Bauer
Calculus of functorsKristine Bauer
Noncommutative Algebraic GeometryGeoff Vooys

Number Theory

Algebraic Number TheoryMark Bauer, Keira Gunn, Edgar Pacheco Castan, Ryan Morrill
Algorithmic Number TheoryRenate Scheidler
Computational Number TheoryRyan Morrill, Hugh Williams, Mark Bauer, Keira Gunn, Pedro Sobrevilla Moreno, Su Min Leem
Diophantine equations (polynomial-exponential equations and the use of restricted irrationality measures)Mark Bauer
Elementary number theoryKeira Gunn
Langlands ProgrammeClifton Cunningham, Jerrod Smith, Geoff Vooys
Number TheoryEdgar Pacheco Castan, Qing Zhang, Pedro Sobrevilla Moreno, Richard Guy, Keira Gunn
Representation theory of p-adic groupsQing Zhang, Jerrod Smith

Cryptography

Algorithms and ComplexityKeira Gunn
Cryptography and Network SecurityKeira Gunn
Elliptic and Hyperelliptic Curve Cryptography.Su Min Leem
Elliptic CurvesRyan Morrill
Function fields and their applications in cryptographySu Min Leem, Mark Bauer

Analysis

Analysis and Partial Differential EquationsZahra Ansari Esfeh
Analysis and Partial Differential EquationsCristian Rios, Jinniao Qiu, Matthew Adams, Heather Hardeman-Vooys
C*-algebrasB. Brenken, Michael Lamoureux
C*-dynamical systemsB. Brenken, Michael Lamoureux
Difference equations, dynamical systemsYanina Bazhan
Fractional CalculusMatthew Adams
Functional analysisZahra Ansari Esfeh, B. Brenken, Michael Lamoureux
Noncommutative GeometryMichael Lamoureux
Non-self-adjoint operator algebrasMichael Lamoureux
Topological directed graphsB. Brenken

BioStatistics

Analysis of Recurrent EventsHua Shen
BioinformaticsThierry Chekouo , Rob Deardon
BiostatisticsXuewen Lu, Thierry Chekouo , Md. Shaddam Hossain Bagmar, Mu Qing (Austin) Ren, Rob Deardon
Disease SurveillanceRob Deardon
EpidemiologyYing Yan
Incomplete DataHua Shen
Infectious disease epidemiologyRob Deardon
Latent VariablesHua Shen
Longitudinal Data AnalysisHua Shen, Ying Yan
MetabolomicsKaren Kopciuk
Mixture ModelsHua Shen
Precision MedicineYing Yan
Statistical GeneticsBowei Ding, Ying Yan
Surival AnalysisRuoyu Li, Hua Shen
Survival and Event History AnalysisYing Yan

Industrial Mathematics

Application of Mathematics to Health and MedicineKris Vasudevan
Computational Methods for Inverse ProblemWenyuan Liao
Image ProcessingMatthew Adams
Mathematical modelling and the application of mathematics, especially perturbation and numerical methods, to industrial problemsWenyuan Liao, Rex Westbrook
Mathematical OptimizationMd Hasib Uddin Molla, Qihe Liang
PDE-Based Image ProcessingMatthew Adams

Statistics

Bayesian StatisticsZachary Thys
Big data and high-dimensional data analysisQiyue He, YU WANG, Rutong Cai, Xuewen Lu
Causal InferenceYing Yan, Hua Shen
Causal InferenceMd. Shaddam Hossain Bagmar
Cluster analysisKatherine Burak
Data mining and statistical computingYU WANG, Qiyue He, Xuewen Lu, Hu Beijia
Data reduction and single-index modelsXuewen Lu
Ecological StatisticsRob Deardon
Experimental DesignRob Deardon, Md. Shaddam Hossain Bagmar
Functional Data AnalysisYing Yan
Generalized Linear ModelsRuoyu Li
High-Dimensional Data AnalysisThierry Chekouo , Ying Yan
Machine LearningHeather Hardeman-Vooys, Yao Yao, Ying Yan, YU WANG
Measurement Error and Missing DataQiyue He, Ying Yan
Scholarship of Teaching and LearningRyan Morrill, Keira Gunn, Bingrui (Cindy) Sun
Semiparametric and Nonparametric StatisticsXuewen Lu
Statistical Applications in SportsZachary Thys
Statistical computingMiloslav Nosal
Statistical consultingMiloslav Nosal, Hua Shen, Gemai Chen
Statistical LearningRob Deardon
Statistical LearningHua Shen
StatisticsHu Beijia, Yao Yao, Michael John Ilagan, Na Zhang
StatisticsCe Zhang
Structural Equation ModelingClaudia Mahler

General Relativity

Black holesW.E. Couch
CosmologyW.E. Couch
Gravitational RadiationW.E. Couch
Integrable SubsystemsW.E. Couch

Combinatorics, Geometry and Logic

Combinatorial GamesRichard Guy
Combinatorial GeometryKaroly Bezdek, Richard Guy
CombinatoricsKeira Gunn, Michael Cavers, Davoud Abdi
Combinatorics and Graph TheoryKaren Seyffarth, Rachel Hardeman, Kris Vasudevan
Differential GeometryKaroly Bezdek
distinguishing colouringKaren Seyffarth
Enumerative CombinatoricsRichard Guy
GeometryMike Stone
graph reconfiguration problemsKaren Seyffarth
Hyperbolic and Spherical GeometryKaroly Bezdek
Stochastic geometry problems and applications to stereology.Yixin Zhu, Peter Ehlers

Mathematical Physics

Completely positive mapsB. Brenken
Differential SpacesJedrzej Sniatycki
Geometric quantizationJedrzej Sniatycki
Hamiltonian mechanicsJedrzej Sniatycki
Multisymplectic systemsJedrzej Sniatycki
Non-holonomic constraintsJedrzej Sniatycki
Symplectic geometryJedrzej Sniatycki
Yang-Mills theoryJedrzej Sniatycki

Mathematical Finance

Computational financeAntony Ware, Ana Roldan Contreras
Computational financeZhenyan Liu, Zahra Ansari Esfeh
Finance time series analysisQiyue He, Alexandru Badescu
Financial & Economic model building and forecastingGemai Chen
Financial mathematicsAlexandru Badescu, Qi Guo
Financial MathematicsZahra Ansari Esfeh, Ana Roldan Contreras, Md Hasib Uddin Molla
financial mathematics; biomathematics; random evolutions and their applications; stochastic calculusElizabeth Ofori, Anatoliy Swishchuk
Financial modeling in energy marketsElizabeth Ofori, YU WANG, Weiliang Lu
Marked point process for modelling credit default riskElizabeth Ofori
Mathematical financeDeniz Sezer, David Scollnik, Jinniao Qiu, Wenning Wei, Yao Yao, Qiyue He
Mathematical financeElizabeth Ofori, Zhenyan Liu
Portfolio OptimizationJinniao Qiu
Portfolio OptimizationMd Hasib Uddin Molla, Ana Roldan Contreras
Stochastic Optimal ControlWenning Wei, Jinniao Qiu, Md Hasib Uddin Molla

Computational Discrete Geometry

Discrete GeometryJoseph Ling, Ilya Ivanov, Karoly Bezdek, Ted Bisztriczky
Erdos-Szekeres Type ProblemsTed Bisztriczky
Hyperplane SeparationsTed Bisztriczky
TransversalsTed Bisztriczky

Applications

Dynamical SystemsKris Vasudevan
GeostatisticsYU WANG
Jupyter notebooks for teaching and researchMichael Lamoureux
Mathematics of wave propagation and seismic imagingHeather Hardeman-Vooys, Michael Lamoureux
Numerical methods and applications to geophysicsMichael Lamoureux, Wenyuan Liao
Numerical PDEsRJ Vestrum, Michael Lamoureux
PDEChenhui Hao

Quantum Information Science

Foundations of Quantum MechanicsJanakan Sivasubramanium, Gilad Gour, Kuntal Sengupta
Quantum EntanglementMark Girard, Janakan Sivasubramanium
Quantum foundationsCarlo Maria Scandolo
Quantum InformationCarlo Maria Scandolo, Mark Girard
Quantum Information ScienceGilad Gour, Janakan Sivasubramanium, Kuntal Sengupta, Carlo Maria Scandolo
Quantum resource theoriesCarlo Maria Scandolo

Algebra

Linear AlgebraKeira Gunn, Michael Cavers
Morphic and quasi-morphic ringsW. Keith Nicholson
Stable and unit-regular modulesW. Keith Nicholson
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