Mohamed Ben Hadj Rhouma Department of Mathematics and Statistics, S.Q.U

Email: [email protected] Web: http://www.math.gatech.edu/~rhouma

Education

 1995-1999, Ph.D. in Mathematics, from the University of Missouri-Columbia 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

 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.

 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.

 1997-1999 Instructor, Evening Division, Columbia College

Taught College Algebra, Statistics.

 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. o 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. Honors & Activities

 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

 Research Papers o 1. The Fibonacci sequence modulo pi, Chaos, and some rational recursive sequences, , J. Math. Appl. Analysis to appear 2005. o 2. Closed Form solutions to some rational recursive sequences, Communications on Applied Nonlinear Analysis, Volume 12(2005), Number 2, 41-58. o 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. o 4. A biological approach to data clustering, with Hichem Frigui, Scientificae Mathematicae Japonicae, Vol58, N02, 2003. pp. 485-494. o 5. On the continuation of periodic orbits, with Carmen Chicone, Methods and Applications of Analysis, Vol7, N01, 2000. pp. 85-104. o 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. o 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. o 8. A scalable Clustering Approach based on the synchronization of pulse- coupled oscillators, with H. Frigui, To appear in Data Mining and Knowledge Discovery.

 Books o 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

 "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

 "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.  "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

 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

 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. [email protected]  Prof. Mohamed ElSayed, Sultan Qaboos University. [email protected]