Dr. Hocine Guediri
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Contact Information:
Address:
Dr. Hocine Guediri
Department of Mathematics, College of Science, King Saud University,
P.O. Box 2455, Riyadh 11451, Saudi Arabia
Tel: + 966 14 67 65 17
Fax: + 966 14 67 65 12
E-mail: hguediri@ksu.edu.sa and guediri_h@yahoo.com
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Education:
- Languages: Arabic, English and French.
- Ph.D. (Doctorat): Provence University (Aix Marseille I), Marseille, France, 2001.
- Title: Integral equations methods for various problems of mechanics: elasto-acoustic
- coupling and friction problems.
- Field: Applied Analysis
- Adviser: Professor Marc Durand.
- M.Sc. (Magistere): Annaba University, Algeria, 1996.
- Title: Direct boundary integral equations method for a mixed polyharmonic problem.
- Field: Mathematical analysis of boundary value problems
- D.E.A.: Mathematical analysis of boundary value problems, Annaba University, Algeria, 1994.
- B.Sc. (D.E.S.): Mathematics (Functional Analysis), Constantina University, Algeria, 1993.
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Professional Activities:
March 2013- ->: Associate Professor, King Saud University, Riyadh (Saudi Arabia).
2001- -March 2013: Assistant Professor, King Saud University, Riyadh (Saudi Arabia).
2000- -2001: Assistantship Position (ATER), Provence University, Marseille (France).
1999- -2000: Research Fellowship, Stuttgart University, Stuttgart (Germany).
1994- -1998: Assistantship Positions, Annaba University, Annaba (Algeria).
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Teaching Experience:
- Graduate courses:
- Complex Analysis I and II.
- Functional Analysis I and II.
- Potential Theory in the Complex Plane.
- Operator Theory and Banach Algebras.
- Advanced Topics on Operator Theory on Function Spaces in the Unit Disk.
- Geometric function theory.
- Undergraduate courses:
- Complex Analysis.
- Multivariable Calculus.
- Calculus.
- Real Analysis.
- Linear Algebra.
- Differential and Partial differential equations.
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Supervision of M.Sc. Thesis:
- Roaa Khalil Abed: Spectral properties of Toeplitz operators on the Bergman space. King Saud University, Riyadh, September 2010.
- Balsam Ali Al-Suhaibani: Compactness criteria for Toeplitz operators on the Bergman space. King Saud University, Riyadh, July 2009.
- Massomah Abdullah Al-Ali: Algebraic properties of Toeplitz operators on the harmonic Bergman space. King Saud University, Riyadh, December 2008.
- Maha Rahma Al-Ammari: Products of Bergman space Toeplitz operators and Brown-Halmos type theorems. King Saud University, Riyadh, June 2006.
- Shams Yusof Al-Yusof: Dual Toeplitz operators versus Toeplitz operators. King Saud University, Riyadh, February 2006.
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Supervision of B.Sc. Memoires:
- Complex Analysis: Harmonic functions and the Dirichlet problem in the complex plane, First Semester 2009--2010.
- Complex Analysis: The fundamental theorem of Algebra, Second Semester 2008--2009.
- Complex Analysis: Mobius transformations, First semester 2005--2006.
- Real Analysis: Three famous theorems in real analysis, First Semester 2004--2005.
- Complex Analysis: Various forms of the maximum modulus principle and applications, Second Semester 2003--2004.
- Harmonic Analysis-Potential Theory: Positive harmonic functions and Bocher's theorem, First Semester 2003--2004.
- Ordinary Differential Equations: Scott's theorem and applications to differential equations, Second Semester 2002--2003.
- Partial Differential Equations: Green's function method for the Dirichlet problem associated to Laplacian, Second Semester 2001--2002.
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Participation in Conferences:
- First Annual Math Days of King Saud University, King Saud University, Riyadh (Saudi Arabia), December 16--17, 2009.
- The XIXth International Workshop on Operator Theory
and its Applications (IWOTA2008), The college of William and Mary, Williamsburg, Virginia, USA, July 22 - July 26, 2008. - The Ninth Workshop on Numerical Ranges and Numerical Radii (WONRA), The college of William and Mary, Williamsburg, Virginia, USA, July 19 - July 21, 2008.
- Symposium on Global Analysis and Probability, Qassim University, Saudi Arabia, May 27--28, 2008.
- The Fourth International Conference on Mathematical Science (ICM2008), United Arab Emirates University, Al-Ain UAE, March 03-06, 2008.
- (A joint work with Prof. M.A. Al-Gwaiz) The seven'th meeting of the SAMS on Information Technology in Mathematics, Prince Sultan University, Riyadh (Saudi Arabia), April 7--8, 2004.
- The six'th meeting of the SAMS, King Saud University, Riyadh (Saudi Arabia), April 9--10, 2002.
- The fifth International conference on wave propagation, Mathematical and numerical aspects of wave propagation (Santiago de compostela, Spain 2000), SIAM-INRIA-Univ. Santiago de compostela (Spain), July 10-14, 2000.
- Deuxieme colloque national en analyse fonctionnelle et applications, Sidi Bel Abbes (Algeria), November 17-19, 1997.
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Attended Conferences, Workshops and Summer Schools:
- Workshop: Mathematical Modeling of Dynamics, King Abdulaziz City of Science and Technology, Riyadh (Saudi Arabia), May 30, 2007.
- Workshop: Partial Differential Equations in Modern Mathematical Physics and Applied Mathematics, King Abdulaziz City of Science and Technology, Riyadh (Saudi Arabia), February 13, 2007.
- Workshop on Wavelets: Theory and Applications, King Abdulaziz City of Science and Technology, Riyadh (Saudi Arabia), December 14, 2004.
- European Summer School on Fluid Structure Interaction, Prague (Czech Republic), August 19--29, 2001.
- Doctoral School on Shape Optimization, Provence University (France), March 2000.
- International Conference on Multifield Problems, University of Stuttgart (Germany), October 6--8, 1999.
- Doctoral School on Integral and Pseudodifferential Operators and Applications, Stuttgart University (Germany), December 1998.
- Short training period at Stuttgart university (Germany), December 1998.
- Training period at Montpellier II university, Montpellier (France), November 1995.
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Broad Field: Functional Analysis and Complex Analysis.
Research Interests: Operator Theory on Function Spaces.
Publications:
- Guediri, H. : Compactness of Toeplitz operators on the harmonic Bergman space, In preparation.
- Guediri, H. : Quasinormality and numerical ranges of certain classes of dual Toeplitz operators. Abstract and Applied Analysis, Volume 2010 (2010), Article ID 426319, 14 pages, doi:10.1155/2010/426319.
- Guediri, H. : Compactness of certain classes of Toeplitz operators on the harmonic Bergman space. Proceedings of the Fourth International Conference on Mathematical Science (ICM2008), United Arab Emirates University, Al-Ain UAE, Vol. 3 PP 911--932, March 03-06, 2008.
- Guediri, H. : New Function Theoretic Proofs of Brown Halmos Theorems. Arab J. Math. Sc., 13 (2007) , 15-26.
- Durand, M. and Guediri, H. : Scattering of acoustic waves by a layered elastic obstacle: a direct integral equations approach, Adv. Math. Sci. Appl. 13 (2), (2003), 519-547.
- Guediri, H. : On a boundary variational inequality of the second kind modeling friction,Math. Methods Appl. Scie., 25 (2), (2002), 93-114.
- Guediri, H. : Characterization of the coincidence set for mixed Signorini problems,Applicable analysis, 77 (3-4), (2001), 327-341.
- Guediri, H. : A regularization procedure for a boundary variational inequality of the second kind, Nonlinear Oscillations, 4 (1), (2001), 50-70.
- Guediri, H. : A regularization method for a boundary variational inequality of the second kind associated to a friction problem, C. R. Acad. Sci. Paris, Serie IIb Mechanics, 318 (12), (2000), 899-904.
- Guediri, H. : Qualitative properties and characterization of the solution of a fourth order Signorini contact problem, Proceedings of the six'th meeting of the SAMS, April 9--10 (2002), PP. 17-26.
- Durand, M. and Guediri, H. : A new system of integral equations for the elasto-acoustic coupling problem, Mathematical and numerical aspects of wave propagation (Santiago de compostela, 2000), SIAM, Philadelphia, PA, (2000), PP. 143-147.
