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MathematicsOther Titles: Adjunct Professor, Carleton University
Office: SCI 114
Office Hours: Tuesdays and Thursdays from 3:30pm to 4:30pm
Graduate student supervisor
information geometry, topological data analysis, queueing theory and applications in telecommunication systems, random walks in quarter plane and applications in probability modeling.
Courses & Teaching
Recent teaching: Algebraic Number Theory, Abstract Algebra I & II, Stochastic Processes, Queueing Theory, Calculus (all levels), Topology, AlgebraicTopology, Topological Data Analysis and many Directed Studies in different areas in Math.
Founded on a university career of more than 34 years, my teaching experience spans a wide range of courses in mathematics for graduate and undergraduate students in science, education and engineering. I have taught in several Canadian universities including UBC Okanagan, Carleton University, and the University of Saskatchewan.
My speciality at the undergraduate level covers most of the courses i.e. algebra, complex numbers, calculus while at the graduate level my interests cover algebra (groups, rings, and homological), (algebraic) topology, stochastic process, applied probability, queuing theory, complex geometry, sheaf theory, category theory, complex functions theory, and fuzzy (logic) sets. My commitment to diversity, equity and inclusion are evident in the fact that my students come from diverse backgrounds and cultures. I take pride in seeing my students succeed and the fact that my teaching experience has led to rewarding collaborations with Canadian and foreign universities.
Postdoc, Dalhousie University
PhD, Dalhousie University
Research Interests & Projects
My research activities have centred around key or fundamental issues in information geometry, topological data analysis, probability modelling and performance analysis for complex systems, especially, the application of random walks in queueing and networking systems. My HQP training has largely focussed on these areas.
Graduates: 6 PhD, 6 MSc, and more than 12 undergraduate research assistant (URA & USRA) in the different areas mentioned above.
Selected Publications & Presentations
Publications are all coauthored.
Numerical Methods for Solving Queueing Systems and Similar Discrete Event Systems will be published by Springer.
Mathematics from an Aboriginal Perspective, 4th edition 2018.
Theoretical Analysis of Image Fusion Quality Measure Based on T-sallies Entropy, Information Fusion 58 (2020) 69-81.
The distribution of the line length in a discrete GI/G/1 queue. Performance Evaluation, 131 (2019) 43-53.
A numerical method to determine the waiting time and the idle time distributions of a GI/G/1 queue when inter-arrival times and/or service times have geometric tails. INFOR: Information Systems and Operational Research. DOI:10.1080/03155986.2018.1533775, (published online 23 Jan 2019).
In-depth analysis of Tsallis entropy-based measures for image fusion quality assessment. Optical Engineering 58(3), 033102 (2019).
Optimal Policies of M(t)/M/c/c Queues with Two Different Level of Servers, European Journal of Operational Research (EJOR), 249 (3), pp 1124-1130, 2016.
Efficient Methods to Find the Equilibrium Distribution of the Number in GI/M/c Queues, INFOR, Vol. 52, No. 4, 2015.
Analysis of Exact Tail Asymptotics for Singular Random Walks in the Quarter Plane, Queueing Systems, DOI 10.1007/s11134-012-9321-y, 2012.
An Objective Image Fusion Quality Measure Based on Localized Edge Strength and Mutual Information, to appear in IEEE 2020.
Numerous research presentations in Canada and abroad.
Selected Grants & Awards
Two-time winner of Thank a Prof Program, Teaching Excellence UBCO, 2016 & 2019
Golden Apple Award, Teaching Excellence,” UBCO, 2016
Math articulation advisor, 2018-present.
Member of Standing Committee, 2016-present, and many others.
Member of numerous (professional) committees such as graduate committees and mathematical journals and reviews. The organizer of many conferences and workshops, including CanQueue2020, which will be held in Banff, Alberta, August 2020.