SCHOOL OF BUSINESS,
TECNOLOGY AND EDUCATION
ILIA STATE UNIVERSITY

Faculty of Natural Sciences and Engineering; Associate Professor of Mathematics

  • Theory of analytic and generalized analytic functions, Riemann-Hilbert type problems, Complex analysis, Elliptic systems on Riemann surfaces.




N. Manjavidze was born on October 23, 1953. She finished Komarov school of physics and mathematics. In 1975 she graduated from the Department of Mathematics and Mechanics of Tbilisi State University with honors . In 1976–2001 she is researcher at N. Muskhelishvili Institute of Computational Mathematics of the Academy of Sciences of Georgia. In 2004 she defended the candidate dissertation at A. Razmadze Institute of Mathematics. Her main field of research is real and complex analysis. N. Manjavidze is the author of 23 research papers, most of them are published in leading scientific journals, and one monograph (with coauthors). In 1990-2014 she is Assistant/Associate Professor at Georgian Technical University, Department of General Mathematics. In 2008 – 2014 is  invited Lecturer at Ilia State University.  Since 2014 N.Manjavidze is Associated Professor of the Engineering Faculty at the Ilia State University, faculty of Natural Sciences and Engineering

Scientific interests / research interests

  • Theory of analytic and generalized analytic functions, Riemann-Hilbert type problems, Complex analysis, Elliptic systems on Riemann surfaces.

Featured publications

  • Manjavidze., G. Giorgadze. On some constructive methods for the matrix Riemann–Hilbert boundary-value problem. Journal of Mathematical Sciences. V. 195, Issue 2, 2013, 146-174.
  • Manjavidze, G. Akhalaia, G.Makatsaria. Some Qualitative Issues for the First Order Elliptic Systems in the Plane. “Progress in Analysis and its Applications”. Edited by M.Ruzhunsky and J.Wirth. World Scientific Publishing Company,London, 2010, 67-73
  • Manjavidze., G. Akhalaia. Boundary Value Problems with Shift for Generalized Analytic Vectors. Ann. Univ. Paed. Cracov. Stud. Math. 9 (2010), 123-132. http://studmath.ap.krakow.pl/
  • Manjavidze, N.Manjavidze, Boundary value problems of analytic and generalized analytic functions. Journal of Math. Sci. v.160, 6, 2009, 745-821.
  • Manjavidze, G.Akhalaia, G.Makatsaria, Elliptic systems on the plane, Tbilisi University Press Proceedings of International ISAAC Conference dedicated to I.Vekua centenary, 23-27 April, AMIM,v.12,1, 2007, 1-12..
  • Manjavidze, G.Akhalaia, G.Makatsaria , Some problems of elliptic systems on the plane, World Scientific, Further Progress in Analysis, Edited by H. Begehr, O. Celebi, R.Gilbert, Proceedings of 6-th International ISAAC Congress, August 13-18, 2007, Ankara,303-310..
  • Manjavidze, Boundary value problems for analytic and generalized analytic functions on a cut plane. Memoirs on Differential Equations and Mathematical Physics, v.33, 2004, 121-154.
  • Manjavidze, Riemann-Hilbert problems on a cut plane. Institute of cybernetics, Contem­porary Mathematics, v.15, 2004, 121-141.
  • Manjavidze, The Riemann-Hilbert boundary value problem on a cut plane. Topics in Ana­ly­­sis and its Application, Nato Series, v.187, Kluwer, Dordrecht, 2003, 83-90.
  • Manjavidze, Differential boundary value problem of the theory of analytic functions on a cut plane. Complex Variables, Theory and Application, v.46, no.3, (2001), 265-276.
  • Manjavidze, Some boundary value problems with shift for analytic functions on a cut plane.Progress in Analysis,Edited by H.Begehr, R. Gilbert, Proceedings of 3-rd International ISAAC Congress, v.2, Berlin, 2001, 763-769.

Books

  • Manjavidze, G. Akhalaia, G. Giorgadze, V. Jikia, N. Kaldani, G. Makatsaria. Elliptic Systems on Riemann Surfaces. Tbilisi International Center of Mathematics and Informatics. v. 13, 1-154, 2012 http://www.viam.science.tsu.ge/others/ticmi/Int/lecturen.htm www.emis.de/journals/TICMI/Int/lecturen.htm
  • Translator and editor of the monograph of Prof. G. Manjavidze – “Boundary value problems of the theory of analytic and generalized analytic functions” (Science Press, Beijing, 2008).
  • In 2011 she translated and compiled the reader for the bachelor students of the Ilia State University – “The elements of practical mathematics”, which is based on the book “For All Practical Purposes” (Introduction to Contemporary Mathematics, W. H. Freeman and Company, 4th adition, 1997).

An extensive list of publications

Current Courses

Course Catalog

  • Calculus II (ENG);
  • Calculus III (ENG);
  • Complex Analysis
  • General Mathematics/Semester 1/2008-2009/bachelor’s;
  • The elements of practical mathematics/ Semester 1, 2/2009-2013/bachelor’s;
  • Calculus 1, Calculus 3/Semester 2/2013-2015/bachelor’s;
  • Complex analysis/Semester 2/2015/bachelor’s

  • Georgian Mathematical Union – Member;
  • Georgian Union of Mechanicians – Member;
  • Researcher of Shota Rustaveli National Science Foundation Grant #ST09-783-3-100: Elliptic systems on Riemann surfaces and applications (2010 – 2012);
  • ISAAC (International Society of Analysis, Applications and computations) – Life member since 2007;
  • Reviewer of American Mathematical Society – MathSciNet Reviewer #07944;
  • Reviewer of Zentralblatt Math – Reviewer #15008;