Summary

Education:
1. 2016-2021 - Ivane Javakhishvili Tbilisi State University, PhD in mathematics;
2. 2014-2016 - Ivane Javakhishvili Tbilisi State University, Master's degree in Mathematics;
3. 2010-2014 - Ivane Javakhishvili Tbilisi State University, Bachelor's degree in Mathematics;
4. 2005-2010 - Vladimir Komarov Tbilisi School of Physics and Mathematics N199;
5. 1998-2004 - Public School of Kakabeti;

Work Experience:
1. Ilia Vekua Institute of Applied Mathematics - 2023-Now;
2. Ilia Vekua Institute of Applied Mathematics - 2017-2019;
3. Ltd Steady Logic - 2014-2018.

Projects

• Problem of factorization and invariants of holomorphic bundles on Riemann surfaces (FR-22-354), 2023-2026.
• Riemann-Hilbert problems on Riemann surfaces and invariants of holomorphic bundles (FR17-96), 2017-2020.

Talks

• On approximation of matrix functions and deformation of complex structures of vector bundles, by Gia Giorgadze (Speaker), Gega Gulagashvili at XXXIX International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 23-25 April, 2025.
• COMPUTATION OF THE DIMENSION OF THE DEFORMATION SPACE OF HOLOMORPHIC STRUCTURES OF THE VECTOR BUNDLES INDUCED FROM THE FUCHSIAN SYSTEM, by Gega Gulagashvili (Speaker) at XXXVIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 22-24 April, 2024.
• COMPUTATION OF THE DIMENSION OF THE DEFORMATION SPACE OF HOLOMORPHIC STRUCTURES OF THE VECTOR BUNDLES INDUCED FROM THE FUCHSIAN SYSTEM, by Gega Gulagashvili (Speaker) at XXXVIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 22-24 April, 2024.
• On Solvability Condition of the Rieman-Hilbert Boundary Problem by Quadratures, by Gia Giorgadze (Speaker), Gega Gulagashvili at XXXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 19-22 April, 2023.
• On the splitting type of vector bundles on the Riemann sphere induced from second order fuchsian system , by Gega Gulagashvili (Speaker) at XXXIV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 16-19 September, 2020.
• On the algorithm for computing the splitting type of holomorphic vector bundles on Riemann sphere, by Gega Gulagashvili (Speaker) at X ANNUAL INTERNATIONAL CONFERENCE OF THE GEORGIAN MATHEMATICAL UNION, Batumi, Georgia, 02-06 September, 2019.
• On the problem of computation the partial indices of matrix. , by Gia Giorgadze (Speaker), Gega Gulagashvili at 21st International workshop on Computer algebra. JINR, Dubna, Russia, Dubna, Russia, 23-24 May, 2019.
• On the type of splitting of vector fibrationon the Riemann sphereinduced by hypergeometric equation., by Gega Gulagashvili (Speaker) at XXXIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (ESSVIAM2019), Tbilisi, Georgia, 23-25 April, 2019.
• ON THE COMPLEX STRUCTURES OF VECTOR BUNDLES INDUCED FROM FUCHSIAN SYSTEM, by Gega Gulagashvili (Speaker) at XXXII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 18-20 April, 2018.
• ON THE SPLITTING TYPE OF THE TWO RANK VECTOR BUNDLES ON RIEMANN SPHERE , by Gega Gulagashvili (Speaker) at XXXI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU) Dedicated to the 110th Birthday Anniversa, Tbilisi, Georgia, 17-21 April, 2017.

Publications

• Gia Giorgadze, Gega Gulagashvili, Giorgi Kakulashvili, DEFORMATION OF COMPLEX STRUCTURES, PARTIAL INDICES OF MATRIX FUNCTIONS, Proceedings of I. Vekua Institute of Applied Mathematics, Vol. 74, 15-25, Tbilisi University Press, 2024.
• Gia Giorgadze, Gega Gulagashvili, On the splitting type of holomorphic vector bundles induced from regular systems of differential equation, Georgian Mathematical Journal, 29(1): 25–35, Walter de Gruyter GmbH, 2022.
• Gia Giorgadze, Gega Gulagashvili, Riemann-Hilbert Boundary Value Problem with Piecewise Constant Transition Function, Journal of Dynamical and Control Systems, 1-11, Springer, 2020.
• Gega Gulagashvili, HOLOMORPHIC TYPE OF VECTOR BUNDLES ON THE RIEMANN SPHERE INDUCED FROM SECOND ORDER FUCHSIAN SYSTEMS, Proceedings of I. Vekua Institute of Applied Mathematics, Vol. 69, 35-46, Tbilisi University Press, 2019.
• 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.
• Gega Gulagashvili, ON THE SPLITTING TYPE OF VECTOR BUNDLE ON THE RIEMANN SPHERE, Proceedings of I. Vekua Institute of Applied Mathematics, Vol. 68, 36-45, Tbilisi University Press, 2018.