Mohamed Ben Hadj Rhouma
Department of Mathematics and Statistics, S.Q.U
Email: mrhouma@hotmail.com
Web: http://www.math.gatech.edu/~rhouma
Education
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1995-1999, Ph.D. in Mathematics, from the University of MissouriColumbia under the supervision of Prof. Carmen Chicone.
1993-1995 Masters of Science, Mathematics, from the University of
Missouri-Columbia.
1984-1990 Bachelor and Masters of Science in Industrial Engineering, Ecole
Nationale d'Ingenieurs de Tunis (E.N.I.T), Tunis, Tunisia.
Employment
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2002-Present Assistant Professor at the Mathematics and Statistics
Department, Sultan Qaboos University, Oman
2001-2002 Assistant Professor at the Mathematics and Statistics
Department, University of Missouri-Rolla, U.S.A.
1999-2001 Posdoctoral fellow, CDSNS, Georgia Institute of Technology.
Research, + teaching Calculus III for Computer Science Students.
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1994-1999 Teaching Assistant, Department of Mathematics, MU.
Taught College Algebra, Intermediate College Algebra, Finite
Mathematics, Pre-Calculus, using technology such as Mathematica and
TI-85/86 Scientific Calculators.
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1997-1999 Instructor, Evening Division, Columbia College
Taught College Algebra, Statistics.
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1990-1992 Industrial Engineer at the Societe d'Ingenierie de Developement
Economique et Social S.I.D.E.S. Consulting Bureau, Tunis, Tunisia.
o Designed and implemented the restructuring of the transportation
network (buses, metro, train) in the capital city of Tunis, Tunisia. This
multi-million project was funded by The World Bank and IMF.
Designed and used software for treatment of Origin-Destination surveys
to determine traffic flows.
1994-1995 User Consultant, Information and Access Technology Services
o Assisted computer users with different computer platforms and software.
o Helped in troubleshooting computer hardware and peripherals.
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Honors & Activities
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Laureate, Ecole Nationale d'Ingenieurs de Tunis (ENIT), 1990
National Scholarship, USAID/Tunisian Government (1992-1996)
Treasurer, Tunisian Scientific Society (1995-1996)
President, Tunisian Student Association, MU
Member, American Mathematical Society (AMS)
Member, Society for Industrial and Applied Mathematics.
Referee for Nonlinear Sciences, Neuro-computing, IEEE Transactions on
Pattern Analysis and Machine Intelligence.
Minisymposium Organizer: " Biological Oscillators, Theory and
Applications", SIAM Rim Dynamics 2000, Hawaii 2000.
CDSNS, Seminar Series organizer:, School of Mathematics, georgia
Institute of Technology, Spring 2001.
Publications
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Research Papers
o 1. The Fibonacci sequence modulo pi, Chaos, and some rational recursive
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sequences, , J. Math. Appl. Analysis to appear 2005.
2. Closed Form solutions to some rational recursive sequences,
Communications on Applied Nonlinear Analysis, Volume 12(2005), Number
2, 41-58.
3. On the (2,2) rational recursive sequence y_n+1= y n+1= ( α+βyn)/ ( 1+y
n−1), with M.A. El-sayed and A. Khalifa, Advances in Difference Equations,
To appear 2005.
4. A biological approach to data clustering, with Hichem Frigui, Scientificae
Mathematicae Japonicae, Vol58, N02, 2003. pp. 485-494.
5. On the continuation of periodic orbits, with Carmen Chicone, Methods and
Applications of Analysis, Vol7, N01, 2000. pp. 85-104.
6. Self-Organization of biological oscillators with applications to clustering, with
H. Frigui, IEEE Transactions of Pattern Analysis and Machine Intelligence,
Vol 23, N0 2, 2001.
7. Clustering based on the synchrony of pulse-coupled oscillators, with H. Frigui,
Proceedings of the North American Fuzzy Information Processing Society
1pth conference, Atlanta, GA, July 2000, pp 128-132.
8. A scalable Clustering Approach based on the synchronization of pulse-coupled
oscillators, with H. Frigui, To appear in Data Mining and Knowledge
Discovery.
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Books
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Finite Mathematics Handbook,Center for Independent Study, University of
Missouri, 1996.
o Restructuration du Reseau de Transport de la Ville de Tunis (Volumes 1, 2, 3,
and 4), S.I.D.E.S 1989-1990.
o Redirecting Traffic Flows in the City of Sfax, S.I.D.E.S, 1990.
Academic reports/thesis
o On the Continuation of Periodic Orbits, University of Missouri, July 1999 (Ph.D
Thesis).
o Estimates for solutions of O.D.E's Using Alexeev's Formula, Masters Project
1992.
o Comprehensive Treatment of Origin-Destination Surveys, Ecole Nationale
d'Ingenieurs de Tunis E.N.I.T. Tunisia (1990), Masters thesis.
o Avoiding Traffic Congestion for the Bus Network in the city of Tunis, Ecole
Nationale d'Ingenieurs de Tunis E.N.I.T. Tunisia (1988), B.S. project.
Research Grants
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"Desynchronize and Cluster", SQU College of Science, April 2002 ($5000).
"Modelling Calcium waves in eggs", University of Missouri Research Board,
2001 ($8400).
SIAM travel Grant for young researchers 2001.
Presentations
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"Chaos is not total disorder", SQU Luch Box mathematics, April 2004.
"Image Segmentation using biological Oscillators", ECE Department, SQU May
2003.
"Synchronization of biological oscillators", AMS annual meeting, New Orleans
2002.
"Image Segmentation using biological Oscillators", IMA Workshop for High
Vision, "Pattern recognition with Biological Oscillators" SIAM Pacific Rim
Dynamics 2000, August 2000.
"Perturbation Techniques Applied to Josephson Junctions" International
Conference on Dynamical Systems and Differential Equations ICDSDE
2000, May 2000.
"Continuation of Periodic orbits" Colloquia Series for CDSNS, Georgia
Institute of Technology, November 1999.
"Synchronization and Clustering of Biological Oscillators" Colloquia Series for
CDSNS, Georgia Institute of Technology, February 2000.
"Persistence of Inertial manifolds" Semigroup workshop seminar, University
of Tubingen, Germany June 1999.
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"Persistence of degenerate periodic orbits" University of Alabama, March
1999.
"Introduction to arbitrage" Math Finance Seminar, Department of
Mathematics, University of Missouri, Sept. 1996.
"Stochastic methods in Finance, Part I" Math Finance Seminar, Department
of Mathematics, University of Missouri, Sept. 1996.
"Stochastic methods in Finance, Part II" Math Finance Seminar, Department
of Mathematics, University of Missouri, Oct. 1996.
"Continuation of Periodic orbits" Graduate Student Colloquia Series,
Department of Mathematics, University of Missouri, February 1997.
Computer Skills
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Platforms: UNIX, Linux, Mac OS, MS DOS, MS Windows, CMS and VMS
Programming Languages: Pascal, C, 80X86 Assembly
Software:
o Word Processing/DTP: Word, WordPerfect, PageMaker
o Spread Sheet/Data Base: Excel, Lotus 1 2 3, FileMaker Pro
o Others: SAS, Mathematica, Maple, Matlab.
Languages
Arabic, French, English.
References
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Prof. Carmen Chicone, Department of Mathematics, University of Missouri
Prof. Konstantin Mischaikow , Department of Mathematics (Center for Dynamical Systems and Nonlinear Studies), Georgia
Institute of Technology.
Dr. Hichem Frigui , Department of Electrical Engineering, University of Kentucky Louisville.
Prof. Mark S. Ashbaugh, Department of Mathematics, University of Missouri
Prof. Yuri Latushkin, Department of Mathematics, University of Missouri
Sandi Athanassiou, , Lower Division Coordinator, Dept of Mathematics, University of Missouri
Prof. Stefan Veldsman, Sultan Qaboos University. veldsman@squ.edui.om
Prof. Mohamed ElSayed, Sultan Qaboos University.
masayed@squ.edu.om