• Publications. Manuscript & preprint downloads

    CURRICULUM VITAE
    Duduchava Roland

    CONTENT:

    Biographical data
    Work, teaching & superwising experience
    International grants & Invited positions
    Participation in international workshops, conferences, symposia
    Talks on seminars
    Activities in Mathematical Societies & Mathematical Unions
    Research interests


    download cv.pdf


    AFFILIATION:

    HOME ADDRESS:

    Prof. R.Duduchava Prof. R.Duduchava
    A.Razmadze Mathematical Institute Gogebashvili str., II Bend, # 4
    Academy of Sciences of Georgia TBILISI 0179
    2, University str. GEORGIA
    TBILISI 0186 Tel.: +995.32.251619
    GEORGIA
    Tel.: +995.55.333.855 (Mob.)
    eFax: +49.8121.900000630

    eMails: dudu(at)rmi.ge
    RolDud(at)gmail.com

    1962
    Graduated from a school in Sukhumi, Georgia
    <
    1968
    B.Sc. in Mathematics from the Tbilisi State University
    1968-1971
    -Post graduate study in Kishinev, Moldova, at the Institute of Mathematics and Computing Center of the Academy of Sciences of Moldova
    1971
    PhD degree (Kandidat Fisiko-Matematiheskikh Nauk) from A.Razmadze Tbilisi Mathematical Institute of the Academy of Sciences of Georgia, superviser Prof. I.Gohberg
    1983
    Doctor of Science Rer. Nat. degree (Habilitation) from the Moscow State University
    1989
    Academic title of Professor from the Supreme Attestation Comission of USSR, Moscow
     
    WORK, TEACHING & SUPERVISING EXPERIENCE:
    Teaching experience:
    1973-1987
    Docent (associate professor) at the Tbilisi State University. Courses in:
    • Integral equations
    • Functional Analysis and Operator Theory
    1987-pres.
    Full Professor at the Tbilisi State University. Courses in:
    • Functional Analysis and Operator Theory
    • Integral Equations
    • Pseudodifferential Equations
    • Equations of Mathematical Physics
    • Theory of Distributions
    • Differential Equations II (Partial Differential Equations and Mathematical Physics)}
    • Differential Operators on Hypersurfaces and Elasticity Theory
    • Fredholm Operators and Operator Algebras
    1993-1994
    Invited professsor at the Humboldt University, Berlin (Fall semester). Course in: Pseudodifferential Equations.
    2001-2002
    Invited professsor at the University of Stuttgart (Fall semester). Course in: Pseudodifferential Operators with Applications to Some Problems of Mathematical
    Physics    .
    2002-2003
    Professsor Merkator (German Research Council-DFG) at the University of Saarland, Saarbrücken (Fall and summer semesters). Course in: Pseudodifferential Operators with Applications to Some Problems of Mathematical Physics.
    2004-2006
    Full Professsor at the University of Saarland, Saarbrücken.
    Fall semester 2004/2005:
    Basic course Elemetare Differenzialgemetrie
    Summer semester 2005:
    Lecture Partielle Difentialgleichungen und Anwendungen zu Mathematische Physik
    Fall semester 2005/2006:
    Basic course Elemetare Differenzialgemetrie
    2009-pres.
    Invited Full Professor at Iv. Javakhishvili State University, Tbilisi. Courses in:
    Fall semester 2009, Spring semester 2012
               Basic course Partial Differential Equations
    Spring semester 2010,
              Differential Equations on Hypersurfaces and Shell Theory
    Fall semester 2010, Fall semester 2011
                Fredholm Operators and Operator Algebras
    Spring semester 2011,
              Method of Potentials

    Publications:
    103 (including 4 monographs and 44 publications in Journals with the impact-factor).

    Index of citation:

    Harzig's Publish or Perish, as for 20.04.2012:
     854 citations as Duduchava,
    35 citations as Duducava,
    104 citations in 25 books,
    993 citations in total,
    h-index 16,
    G-index 2

    Thomson-Reuter, as for 20.04.2012:
     267 citations (181 without self-citing),
    104 citations in 25 books,
    {\bf 361 citations} in total,
    h-index 10

    Research positions:
    1971-1973
    Junior research fellow at A. Razmadze Tbilisi Mathematical Institute of the Academy of Sciences of Georgia
    1973-1987
    Senior research fellow at A. Razmadze Tbilisi Mathematical Institute of the Academy of Sciences of Georgia
    1987-1996
    Leading research fellow at A. Razmadze Tbilisi Mathematical Institute, Academy of Sciences of Georgia
    1996-pres.
    Principal research fellow, Head of the Department of Mathematical Physics at A. Razmadze Mathematical Institute, Tbilisi
    Supervising experience:
    1981
    A. Saginashvili, PhD thesis:
    Integral equations with semi-almost-periodic symbols
    1983
    T. Latsabidze, PhD thesis:
    Integral equations with complex conjugation
    1990
    E. Shargorodsky, PhD thesis:
    Boundary value problems for pseudodifferential operators in Besov and Bessel potential spaces
    1999
    L.Sigua, PhD thesis (joint supervising with Prof. D.Natroshvili, Tbilisi. Georgia):
    Boundary value problems for a vector Helmholz equations
    1999
    V.Kirvalidze, PhD thesis (joint supervising with Prof. D.Natroshvili, Tbilisi, Georgia):
    Linearized Stokes equations for domains outer to open surfaces
    2000
    O.Chkadua, Habilitation thesis:
    Asymptotics of solutions to crack-type and contact problems of elasticity
    2002
    A.Gachechiladze, PhD thesis (joint supervising with Prof. D.Natroshvili, Tbilisi):
    Some problems of mathematical physics with unilateral restrictions
    2003
    D.Kapanadze (PhD thesis; joint supervising with Prof. B.W.Schulze, Potsdam):
    Boundary value problems in crack configurations and asymptotics of solutions

    197
    Fellow of the Alexander von Humboldt Foundation; two years (in 1979-1981, 1985, 1989) at TH Darmstadt with prof. E.Meister and prof. W.Wendland
    1995
    Invited Senior research fellow at the University of Tasmania, Australia
    1993-1998
    group cooperation programme Randasymptotik with prof. W.Wendland (Stuttgart, Germany); supported by the German Research Council (DFG)
    1993
    Grant of the American Mathematical Society
    1994
    Grant of the International Science Foundation (G.Soros Foundation) to support the research group of R.Duduchava
    1998-2001.
    INTAS-grant, coordinator Prof. W.Wendland (Stuttgart University)
    2000-2002.
    Contract with Dornier-DaimlerChrysler
    2002
    Milnor Scholarship (Short term), University of Missouri, Columbia, Missouri, USA.
    2003-2004
    EPSRC grant for visiting King's College, London, UK for 3 month (Fall semester 2003).
    2006
    grant of the Georgian National Science Foundation GNSF/ST06/3-001. Research Director.
    2007-2010
    grant of the Georgian National Science Foundation GNSF/ST07/3-175. Research Director
    2007-2010
    grant of the Georgian National Science Foundation GNSF/ST07/3-175. Research Director
    2007-2010
    grant of the Georgian National Science Foundation GNSF/ST07/3-170. Principal Researcher

    Other invited positions for joint research or talks:

    Denmark 1994; England 1992, 1994; France 1999,2001; Germany 1975, 1992-2002; Italy 1983, 2005; Kuwait 1997; The Netherlands 1986, 1989; Portugal 1992, 2001, 2002, 2005.


    before 2001
    Germany 1985, 1986, 1988-2001 every year; International Congress of mathematics, Berlin, Germany, 1998; IWOTA, Canada, Calgary 1988; Rotterdam, Netherlands, 1989; IWOTA, Canada, Vinnipeg, 1994; IWOTA, the Netherlands 1989; Töplitz Conference, Tel Aviv, Israel 1993; Conference on Complex Analysis, Mexico 1994; National Congress of Mathematicians, Iran 1996; ICIAM congres, Paris, France 1996; Turkey 1997; England 1997; Portugal IWOTA 2000.


    2001
    • International Conference "3D-Singularities in Elasticity" University of Karlsruhe, Germany, 22-24 November 2000.
    • International Conference "Toeplitz Matrices". Pobershau, Germany, 8-11 April, 2001.
    • Congress of Georgian Mathematicians, Tbilisi, Georgia, 11-13 October 2001.
    2002
    2003
    • Spring School `Operator Algebras on manifolds with Singularities''. Potsdam, Germany, 17.03.2003 - 21.03.2003.
    • Memorial Workshop of E. Meister "Operator Theory in Analysis and Engineering". Technical University of Darmstadt, Germany, 17.06.03-18.06.03. Photo
    • IWOTA-03 International Workshop on "Operator Theory and Applications". Cagliary, Sardinia, 23.06.03-27.06.03. Photo
    • Workshop devoted to I. Gohberg`s 75-th Birthday Anniversary "Operator Theory and Applications". University of Amsterdam, Netherlands, 19.08.03 - 23.08.03. Photo
    • Workshop devoted to 100-th birthday anniversary of V. Kupradze "Potential Theory: Applications in Solid Mechanics and Acoustic And Electromagnetic Scattering Theory". Tbilisi, Georgia, 24.10.03-27.10.03. Photo
    2004
    • Workshop "Numerical and Asymptotic Methods for Kinetic Equations". University of Saarland, Saarbrücken, Germany, February 23-25, 2004.
    • III International Conference on Boundary Integral Methods: Theory and Applications. University of Reading, England, September 14-18, 2004.
    • Workshop devoted to Prof. Emeritus W. L. Wendland. University of Stuttgart, Germany, 22.10.2004. Photo
    • Workshop devoted to 60-th birthday of Prof. E. Albrecht. University of Saarbrücken, Germany, October 29-30, 2004.
    • Workshop "Composite Forschung in der Mechanik", University of Paderborn, Germany December 14-15, 2004.
    2005
    • International Conference ``Operator Theory, Function Spaces and Applications''. University of Aveiro, Portugal, July 7-9, 2005.
          
                 2006
    • International Conference "Analysis and Partial Differential Equations" Banach Center, Bedlewo, Poland, 18.06.2006-24.06.2006. Invited talk.
    • International Conference "Research in Mechanics of Composites", Bad Herrenalb, Germany, Invited talk. 26.11.2006-29.11.2006.
                  2007
                      IUTAM-ISAAC International conference dedicated to the Centennial of I. Vekua "Complex Analysis, Partial Differential Equatons and Mechanics Of Continua"
                                           Tbilisi, Georgia, 23.04.2007-27.04.2007. Plenary talk.
                       International conference dedicated to the Centennial of I. Vekua "Differential Equations, Theory of Functions \& Applications". Novosibirsk, Russia 28.05.2007- 
                                            02.2007. Plenary talk.
    2008
                       "Analyses of boundary element methods". Oberwolfach, Germany April 13-19. Invited talk.
                       "Operator Theory and Applications"-IWOTA 2008. July 13-19, Wiliamsburg USA, Plenary speaker.
                        "Toeplitz-Like Operators And Related Topics" Mexico city, Mexico, November 18-21, Plenary speaker.
    2009
                         "Operator Theory and Applications"-IWOTA 2009, September 21-25, Guanajuato, Mexico, Plenary speaker. V Congress of Mathematicians of Georgia, Batumi-                                     Kutaisi, October 5-12. Chairmen of the Congress.
    \2010
                         "Operator Theory and Applications"-IWOTA 2010, July 12-16, Berlin, Germany, Invited talk.
                          General Assembly of the International Mathematical Union, August 17-18, Delegate of Georgia.
                          International Congress of Mathematicians, August 19-27, Hydarabad, India, Invited talk.
                          I International Conference of Mathematicians of Georgia, Batumi, September 12-19. Chairmen of the Conference.

    2001
    • Technical University of Chemnitz, Germany
    • University of Stuttgart, Germany
    • University of Potsdam, Germany
    • University of Rennes, France
    • Technical University of Lissabon (Instituto Superior technico), Portugal
    • University of Aveiro, Portugal
    • University of Faro, Portugal
    2002
    • 17.01.02. University of Stuttgart, Germany: ``Boundary value problems on a smooth surface with a smooth boundary''.
    • 07.03.02. University of Potsdam, Germany: ``Asymptotics without logarithmic terms for crack problems''.
    • 13.03.03. University of Chemnitz, Germany: ``Singular Integral Equations on Piecewise Smooth Curves in Spaces of Smooth Functions''.
    • 14.10.02, University of Missouri, Columbia, USA: ``Asymptotics for crack problems''
    • 1.21.10.02 Texas A & M University, College Station, USA: ``Asymptotics for Pseudodifferential equations on ''manifolds with boundary
    • 29.02 2002 College of William & Mary, Williamsburg, USA: Boundary value problems on a hypersurfaces with boundary''.
    • 30.02 2002 College of William & Mary, Williamsburg, USA: ``Asymptotics for crack problems''
    • 2,11.02 North Eastern University, Boston. Title: ``Asymptotics for crack problems''
    2003
    • 21.02.03. Seminar ``Partielle Differentialgleichungen'', University of Potsdam, Germany: ``Asymptotics without logarithmic terms for crack problems''.
    • 18.07.03. Seminar "Integral Equations and Approximation", Technical Universita of Chemnitz: "On the spatially homogeneous Boltzmann equation".
    • 04.12.03. Seminar "Spectral Theory of Operators", Kings College, University of London, Great Britain: "On the spatially homogeneous Boltzmann equation".
    2004
    • 25.02.04. Universitzy of Götteborg, Sweeden: "On spatially homogeneous Boltzmann equations".
    2005
    • 25.02.05. Seminar ``Functional Analysis and Applications", Instituto Superior Technico, Lisboa, Portual: ``Interface Cracks In Anisotropic Composite Materials".
    • 03.03.05. Seminar on Analysis, Uiversity of Aveiro, Portugal: ``Uniqueness And Stability Of A Classical Solution To A Non Cut Off Boltzmann Equation".
    • 18.03.05. Open seminar, center of Appllied mathematics, Instituto Superior Technoco, Lissabon, Portugal: ``Uniqueness And Stability Of A Classical Solution To A Non Cut Off Boltzmann Equation".
    • 08.06.05. Kolloquium des Graduiertenkollegs, Universit\"at Leipzig: ``Interface Cracks In Anisotropic Composite Materials".

    1991
    Member of the American Mathematical Society
    1991-1997
    Vice President of the Georgian Mathematical Union
    1997-2001
    The President of the Georgian Mathematical Union
    1998
    Delegate of the meetings of International mathematical Union (Leipzig, Germany) and European Mathematical Union (Berlin, Germany)
                 2009-Pres.
                  The President of the Georgian Mathematical Union

    RESEARCH INTERESTS:
    • Partial differential equations: Boundary value problems; Applications to Maxwell's equations, shell theory elasticity equations;
    • Pseudodifferential equations;
    • Nonlinear Boltzmann equations;
    • One multidimensional singular integral equations
    • Discrete and integral convolution equations
    • Approximate solutions of integral equation
  •                                                      Last update 01.05.2012