მოკლე ინფორმაცია

განათლება

1969-1974, ი. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტი
1976-1980, ა. რაზმაძის მათემატიკის ინსტიტუტი, ასპირანტურა
1988, ფიზიკა-მათემატიკის მეცნიერებათა კანდიდატი (დოქტორთან გათანაბრებული)

სამსახურებრივი გამოცდილება

1977-2006, ივ. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტის ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი, უმცროსი მეცნიერ თანამშრომელი
2000-2024, ივ. ჯავახიშვილის სახელობის თბილისის სახელმწიფო უნივერსიტეტის ი. ვეკუას სახელობის გამოყენებითი მათემატიკის ინსტიტუტი, სამეცნიერო-ტექნიკური ინფორმაციის განყოფილების ხელმძღვანელი

პროექტები

• რიმან-ჰილბერტის ამოცანები რიმანის ზედაპირებზე და ჰოლომორფული ფიბრაციის ინვარიანტები (FR17-96), 2017-2020.
• დამრეცი და არადამრეცი გარსების წრფივი და არაწრფივი თეორიის ზოგიერთი ამოცანა (FR /358/5-109/14), 2015-2018.
• ელიფსური სისტემები რიმანის ზედაპირებზე და მათი გამოყენებები (1-3/85), 2010-2012.

მოხსენებები

• Boundary value problem for the first order elliptic systems in the plane, by Giorgi Akhalaia (Speaker), Nino Manjavidze at XXXIV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 17-19 September, 2020.
• On the boundary value problem of generalized analytic vectors, by Giorgi Akhalaia (Speaker), Nino Manjavidze at XXXIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 23-25 April, 2019.
• Correctness of the Boundary Value Problems for Some Classes of Two-Dimensional Elliptic Systems, by Giorgi Akhalaia (Speaker), Giorgi Makatsaria, Nino Manjavidze at VII International Joint Conference of Georgian Mathematical Union & Georgian Mechanical Union Continuum Mechanics and Related Problems of Analysis, Batumi, Georgia, 05-09 September, 2016.
• Boundary value problems for elliptic systems in angular areas, by Giorgi Akhalaia (Speaker), Nino Manjavidze at XXVIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2014.
• On one boundary value problem of Q-holomorphic vectors, by Giorgi Akhalaia (Speaker), Nino Manjavidze at XXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2013.
• On some classes of generalized analytic vectors, by Giorgi Akhalaia (Speaker), Nino Manjavidze at XXVI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 23-25 April, 2012.
• The Cauchy transform and certain non-linear boundary value problem on non-rectifiable arc, by Giorgi Akhalaia (Speaker), Nino Manjavidze at International Conference on Generalized Analytic Functions and their Applications, Tbilisi, Georgia, 12-14 September, 2011.
• Elliptic systems of first order on the plane, by Giorgi Akhalaia (Speaker), Nino Manjavidze at XXIII Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2009.
• Cauchy-Lebesgue classes for Q-holomorphic vectors, by Giorgi Akhalaia (Speaker), Nino Manjavidze at International Conference on Modern Problems in Applied Mathematics, Dedicated to the 90th Anniversary of the Iv.Javakhishvili Tbilisi State University & 40th Anniversary of the I. Vekua Institute of, Tbilisi, Georgia, 07-09 October, 2008.

პუბლიკაციები

• Giorgi Akhalaia, Tengiz Meunargia, Conditions for the existence of neutral surface of an elastic shell and the boundary value problems for generalized analytic functions, AMIM, 24 (1), 3-13, Tbilisi University Press, 2019.
• Nino Manjavidze, Giorgi Makatsaria, T. Vekua, Giorgi Akhalaia, On the Generalized Liouville Theorem, Analysis, Probability, Applications, and Computation, Proceedings of the 11th ISAAC Congress, Växjö (Sweden) 2017, Part of the Trends in Mathematics book series (RESPERSP), Birkhäuser, 117-127, Springer, 2019.
• Giorgi Akhalaia, Gia Giorgadze, Nino Manjavidze, Boundary-Value Problems with Shift and Beltrami Systems, Journal of Mathematical Sciences 237 (1), 1-29, Springer, 2019.
• Giorgi Akhalaia, Gia Giorgadze, Giorgi Makatsaria, Nino Manjavidze, Deformation of Complex Structures and Boundary Value Problem with Shift, Analysis as a Life, Dedicated to Heinrich Begehr on the Occasion of his 80th Birthday, Part of the Trends in Mathematics book series (TM), Birkhäuser, 1-17, Springer, 2019.
• George Jaiani, Gia Giorgadze, Giorgi Akhalaia, Nino Manjavidze, The impact of Bojarski's works on the theory of elliptic partial differential equations on the plane, Proceedings of I. Vekua Institute of Applied Mathematics, 68, 3-15, Tbilisi University Press, 2018.
• Giorgi Akhalaia, George Giorgobiani, Gega Gulagashvili, The analysis of vortex equations using methods of generalized analytic function, Bulletin of TICMI, 22 (2), 135-141, Tbilisi University Press, 2018.
• Giorgi Akhalaia, Nino Manjavidze, Differential boundary value problem for the second order linear elliptic system of differential equations on the plane, Proceedings of I. Vekua Institute of Applied Mathematics, Volume 67, 3-8, Tbilisi University Press, 2017.
• Gia Giorgadze, Giorgi Akhalaia, Valerian Jikia, On the Vortex equation on the complex plane, Proceedings of I. Vekua Institute of Applied Mathematics, Volume 66, 20-33, Tbilisi University Press, 2016.
• Giorgi Akhalaia, Nino Manjavidze, On one boundary value problem of the generalized analytic vectors, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, Volume 30, 3-6, Tbilisi University Press, 2016.
• Giorgi Akhalaia, The generalized Beltrami equation, Journal of Mathematical Sciences, 195, 109–119, Springer, 2013.
• Giorgi Akhalaia, Gia Giorgadze, Valerian Jikia, Neron Kaldani, Giorgi Makatsaria, Nino Manjavidze, Elliptic systems on Riemann surfaces, Lecture Notes of TICMI, Vol. 13, p. 155, Tbilisi University Press, 2012.
• Giorgi Akhalaia, Nino Manjavidze, Functional classes for generalized Beltrami systems, Recent Developments in Generalized Analytic Functions and Their Applications, Proceedings of the International Conference on Generalized Analytic Functions and Their Applications, Tbilisi, Georgia, 12–14 September, 2011, 9-13, Tbilisi University Press, 2011.
• Giorgi Akhalaia, Giorgi Makatsaria, Nino Manjavidze, თეზისიOn some qualitative issues for the first order elliptic systems in the plane, Progress in Analysis and Its Applications, Edited By: Michael Ruzhansky, Jens Wirth , 67-73, World Scientific, 2010.
• Nino Manjavidze, Giorgi Akhalaia, Boundary value problems with shift for generalized analytic vectors, Annales Universitatis Paedagogicae Cracoviensis Studia Mathematica, 9 (1), 123-132, , 2010.
• Giorgi Akhalaia, Nino Manjavidze, Some remarks on generalized Beltrami systems, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, Volume 24, 1-4 , Tbilisi University Press, 2010.
• Giorgi Akhalaia, Giorgi Makatsaria, Nino Manjavidze, Some problems for elliptic systems on the plane, Further Progress in Analysis, Edited by H. Begehr, O. Celebi, R. Gilbert, Proceedings of 6-th International ISAAC Congress, 303-310., World Scientific, 2009.
• Giorgi Akhalaia, Nino Manjavidze, The Cauchy-Lebesgue type integrals for the generalized Beltrami systems, Seminar of I. Vekua Institute of Applied Mathematics REPORTS, Volume 35, 52-55, Tbilisi University Press, 2009.
• Giorgi Akhalaia, Giorgi Makatsaria, Nino Manjavidze, Elliptic system on the plane, AMIM, 12 (1), 3-14, Tbilisi University Press, 2007.
• Giorgi Akhalaia, On One Boundary Value Problem for Generalized Analytic Vectors, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, Volume 17, , Tbilisi University Press, 2002.