Associate Professor | Faculty

Address: Office: 2 A 175 B 4 | Phone: 0114676517

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.
  1. Title: Integral equations methods for various problems of mechanics: elasto-acoustic
  2.   coupling and friction problems.
  3. Field:  Applied Analysis
  4. Adviser: Professor Marc Durand.
    •  
    • M.Sc. (Magistere):    Annaba University, Algeria,  1996.
    1.  
    2. Title: Direct boundary integral equations method for a mixed polyharmonic problem.
    3. 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:
      1. Complex Analysis I and II.
      2.  
      3. Functional Analysis I and II.
      4.  
      5. Potential Theory in the Complex Plane.
      6.  
      7. Operator Theory and Banach Algebras.
      8.  
      9. Advanced Topics on Operator Theory on Function Spaces in the Unit Disk.
      10. Geometric function theory.
        •  
        • Undergraduate courses:
        1.  
        1. Complex Analysis.
        2.  
        3. Multivariable Calculus.
        4.  
        5. Calculus.
        6.  
        7. Real Analysis.
        8.  
        9. Linear Algebra.
        10.  
        11. 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.