University of Calgary

Research Interests

General

Abelian and non-abelian latticesW.E. Couch
Bayesian Statistics and ComputationUthmani Ambawattage, Tianxia Jia, David Scollnik, Rob Deardon
Markov Chain Monte Carlo and Related Simulation MethodsMichael Cavers, Rob Deardon, David Scollnik
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
Biomedical applications of mathematicsAntony Ware
Chromatic number problems and Ramsey propertiesRobert Woodrow
Coding TheoryHa Tran
Complex networkQi Guo
Continuum MechanicsBen Aggarwala
Control TheoryJinniao Qiu
ConvexityKaroly Bezdek
Copula modelsAlexander 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 equationsElena 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 MathematicsMike Stone, Michael Cavers, Ryan Morrill
Diverse problems of linear algebra and its applications, perturbation theoryPeter Lancaster
Edge colouring in graphsBill Sands
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 ModelingAnatoliy Swishchuk
Enumeration in partial orders and latticesBill Sands
Equations with distributed delayElena Braverman
Estimating functions and estimating equationsAlexander de Leon
Evolutionary EquationsCristian Rios
Extreme-value analysisGemai Chen
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 ModelsHua 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 fitGemai Chen, Claudia Mahler
Graph theoryClaude Laflamme, Michael Cavers, Norbert Sauer, Richard Guy
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
Identities in Transformation MonoidsMike Stone
Impulsive equationsElena Braverman
Integrable SystemsW.E. Couch
Inverse modeling & Indudstrial applications(particularly, oil reservoir simulation)Wenyuan Liao
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 ModelingQi Guo
Mathematics EducationMike Stone, Michael Cavers, Claudia Mahler
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 estimationBowei Ding
Minimum energy problems for musculoskeletal models.Paul Binding
Mixed effects modelsAlexander de Leon
Mixture modelsNa Zhang, Bowei Ding
Modelling Biological SystemsRob Deardon
Models for mixed discrete and continuous outcomesAlexander de Leon
Monge-Ampere EquationsCristian Rios
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
Numerical analysisMohammed Aiffa, Antony Ware, Faezeh Bahadorirad
Numerical Methods for PDEWenyuan Liao
Numerical solution of partial differential equationsFaezeh Bahadorirad, Yicheng Wu
Numerical Solution of PDEsMd Hasib Uddin Molla
Numerical solution of unsteady convection-diffusion problemsAntony Ware
ODEsCody Lennon Holder
Operations researchDeniz Sezer, Yuriy Zinchenko, Ernest Enns, Jinniao Qiu
Operations research, optimization algorithms and softwareYuriy Zinchenko
Operator AlgebrasB. Brenken, Ryan Hamilton
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
Pseudo- and composite likelihood methodsAlexander de Leon
Quality ControlGemai Chen
Quasilinear and Fully Nonlinear Partial Differential EquationsJinniao Qiu, Cristian Rios
Ramsey theoryNorbert Sauer
Reduction theoryLarry Bates
Regression/Logistic regression modelsClaudia Mahler
Relational structuresNorbert Sauer
Reliability TheoryWenjun Jiang, Xuewen 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
Seismic Inversion & ApplicationsWenyuan Liao, Yicheng Wu
Set theoryClaude Laflamme, Norbert Sauer
Spectral methods of numerical analysisMd Hasib Uddin Molla
Statistical geneticsJiayI Bian
Statistical problems in medicineAlexander de Leon
Stochastic CalculusQi Guo, Jinniao Qiu
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
Stochastic Orders and Dependence StructuresWenjun Jiang
Study of clean rings and their relationship to unit regular and stable ringsW. Keith Nicholson
Survival analysisJIANG LI
Survival analysis and randomly censored dataMurray Burke, Xuewen Lu
Tangent categoriesFlorian Schwarz
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
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, Alexandru Badescu, MohanaGowri Arumugam, Sang Jin Kang, Wenjun Jiang

Applied Probability and Applied Statistics

Actuarial StatisticsAna Roldan Contreras
Applications of StatisticsClaudia Mahler
Modeling of wind and solar energyTianxia Jia, Maryam Mahmoudi Gharaie, Deniz Sezer, Alex Cameron
Spatio-temporal processesTianxia Jia, Deniz Sezer

Algebra

AlgebraJustin Desrochers
D-modulesJustin Desrochers, Thomas Bitoun
Linear AlgebraJustin Desrochers, Michael Cavers, Keira Gunn
Morphic and quasi-morphic ringsW. Keith Nicholson
Stable and unit-regular modulesW. Keith Nicholson

Topology and Algebraic Geometry

Algebraic and Arithmetic GeometryThomas Bitoun, Clifton Cunningham, Alex Cameron
Algebraic topology and homotopy theoryFlorian Schwarz, Alex Cameron, Rachel Hardeman Morrill, Kristine Bauer
Calculus of functorsKristine Bauer
category theoryFlorian Schwarz
Infinity Category TheoryFlorian Schwarz

Number Theory

Algebraic Number TheoryMark Bauer, Keira Gunn, Ryan Morrill, Edgar Pacheco Castan, Ha Tran, Cole Priestman
Algorithmic Number TheoryRenate Scheidler, Ha Tran
Computational Number TheorySu Min Leem, Ryan Morrill, Pedro Sobrevilla Moreno, Keira Gunn, Hugh Williams, Mark Bauer
Diophantine equations (polynomial-exponential equations and the use of restricted irrationality measures)Mark Bauer
Elementary number theoryKeira Gunn
Langlands ProgrammeAlex Cameron, Jerrod Smith, Clifton Cunningham
Number TheoryPedro Sobrevilla Moreno, Richard Guy, Keira Gunn, Edgar Pacheco Castan
Representation theory of p-adic groupsJerrod Smith, Alex Cameron

Mathematical Finance

Algorithmic TradingAnatoliy Swishchuk
Computational financeAna Roldan Contreras, Antony Ware
Derivatives Pricing and HedgingSarath Kumar Jayaraman
Electricity PricingLeonard Olien
Finance time series analysisAlexandru Badescu
Financial & Economic model building and forecastingGemai Chen, Alexandru Badescu
Financial mathematicsAlexandru Badescu, Qi Guo
Financial MathematicsMd Hasib Uddin Molla, Ana Roldan Contreras
financial mathematics; biomathematics; random evolutions and their applications; stochastic calculusElizabeth Ofori
Financial modeling in energy marketsElizabeth Ofori, Leonard Olien
Marked point process for modelling credit default riskElizabeth Ofori
Mathematical financeElizabeth Ofori
Mathematical financeDeniz Sezer, David Scollnik, Jinniao Qiu
mathematical finance; biomathematics; risk theory; random evolutions and their applications; stochastic calculus;Anatoliy Swishchuk
Portfolio OptimizationMd Hasib Uddin Molla, Ana Roldan Contreras
Portfolio OptimizationJinniao Qiu
Renewable EnergyLeonard Olien
stochastic differential equationsLeonard Olien
Stochastic Optimal ControlJinniao Qiu, Md Hasib Uddin Molla

Cryptography

Algorithms and ComplexityKeira Gunn
CryptographyCole Priestman, Ha Tran
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 EquationsFaezeh Bahadorirad, Yicheng Wu
Analysis and Partial Differential EquationsCristian Rios, Heather Hardeman-Vooys, Jinniao Qiu
C*-algebrasMichael Lamoureux, B. Brenken
C*-dynamical systemsB. Brenken, Michael Lamoureux
Functional analysisMichael Lamoureux, B. Brenken
Noncommutative GeometryMichael Lamoureux
Non-self-adjoint operator algebrasMichael Lamoureux
Stochastic Partial Differential EquationsJinniao Qiu
Topological directed graphsB. Brenken

BioStatistics

Analysis of Recurrent EventsHua Shen
BioinformaticsRob Deardon
BiostatisticsRob Deardon, Xuewen Lu
Disease SurveillanceRob Deardon
Incomplete DataHua Shen
Infectious disease epidemiologyRob Deardon
Latent VariablesMatthew Adams
Latent VariablesHua Shen
Longitudinal Data AnalysisHua Shen
Mixture ModelsHua Shen
Statistical GeneticsBowei Ding
Surival AnalysisHua Shen

Combinatorics, Geometry and Logic

Art and GeometryAlex Cameron
Combinatorial GamesRichard Guy
Combinatorial GeometryKaroly Bezdek, Richard Guy
CombinatoricsMichael Cavers, Keira Gunn
Combinatorics and Graph TheoryRachel Hardeman Morrill, Karen Seyffarth
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.Peter Ehlers

Statistics

Bayesian inferenceMatthew Adams
Big data and high-dimensional data analysisXuewen Lu
Causal InferenceHua Shen
ClassificationJingjing Wu
Data mining and statistical computingXuewen Lu
Data reduction and single-index modelsXuewen Lu
Ecological StatisticsRob Deardon
Efficiency and robustnessJingjing Wu
Experimental DesignRob Deardon
Feature selectionJingjing Wu
Machine LearningJinniao Qiu, Matthew Adams, Alexandru Badescu, Heather Hardeman-Vooys, Faezeh Bahadorirad, Uthmani Ambawattage
Minimum distance estimationJingjing Wu
Mixture modelsJingjing Wu
Non/semi-parametric modelsJingjing Wu
Regression modelsJingjing Wu
Scholarship of Teaching and LearningBingrui (Cindy) Sun, Keira Gunn, Ryan Morrill
Semiparametric and Nonparametric StatisticsSang Jin Kang, Na Zhang, Xuewen Lu
Statistical computingUthmani Ambawattage
Statistical consultingGemai Chen, Hua Shen
Statistical Distribution TheorySang Jin Kang
Statistical geneticsJingjing Wu
Statistical inferenceUthmani Ambawattage
Statistical LearningHua Shen
Statistical LearningRob Deardon
Structural Equation ModelingClaudia Mahler
Survival analysisJingjing Wu

General Relativity

Black holesW.E. Couch
CosmologyW.E. Couch
General relativityCody Lennon Holder
Gravitational RadiationW.E. Couch
Integrable SubsystemsW.E. Couch

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
Topological quantum field theoriesFlorian Schwarz
Yang-Mills theoryJedrzej Sniatycki

Industrial Mathematics

Computational Methods for Inverse ProblemWenyuan Liao
Mathematical modelling and the application of mathematics, especially perturbation and numerical methods, to industrial problemsWenyuan Liao, Faezeh Bahadorirad, Rex Westbrook
Mathematical OptimizationMd Hasib Uddin Molla
Modern Theory of Deep LearningYicheng Wu
Scientific Machine LearningYicheng Wu

Computational Discrete Geometry

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

Quantum Information Science

Foundations of Quantum MechanicsCarlo Maria Scandolo, Gilad Gour
Quantum EntanglementAlex Cameron, Mark Girard
Quantum foundationsAlex Cameron
Quantum InformationCarlo Maria Scandolo, Alex Cameron, Mark Girard
Quantum Information ScienceCarlo Maria Scandolo, Gilad Gour
Quantum resource theoriesCarlo Maria Scandolo

Applications

Jupyter notebooks for teaching and researchMichael Lamoureux
Mathematics of wave propagation and seismic imagingHeather Hardeman-Vooys, Michael Lamoureux
Numerical methods and applications to geophysicsWenyuan Liao, Michael Lamoureux
Numerical PDEsMichael Lamoureux
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