Summary

I am specializing in assisting businesses and industries via mathematical modeling. I work closely with the technical departments of businesses to translate their industrial problems into mathematical ones and solve them, by building appropriate mathematical models. I work on a wide range of industrial problems involving modeling, optimization, Geometry, Probability, and Statistics.

My primary research expertise is in Optimal Transport and its computational applications. Recently I got interested in applying Optimal Transport theory and solvers in weather models.

Work Experience:

Research Scientist 2022 – Now.
Vekua Institute of Applied Mathematics, Tbilisi, Georgia.

Mathematical consultant/researcher for businesses 2022 – Now.
Freelancer.

Industrial Secondments of European Industrial Doctorate 2018 – 2021 (18 months in total).
Signify N.V., Eindhoven, Netherlands.

Doctoral researcher in Applied Mathematics (ROMSOC EID) 2018 – 2021.
INRIA-Paris, Paris, France.

Commercial Research Project 2014 – 2015.
Ltd Steady Logic, Tbilisi, Georgia.

1Teacher of Informatics 2013 – 2014.
Boarding School IB-Mtiebi, Tbilisi, Georgia.



Education:

PhD in Applied Mathematics 2018 – 2021.
Doctoral School of Mathematics, Univeriste Paris-Dauphine PSL

Master of Science in Mathematics 2015 – 2017.
Department of Mathematics, Faculty of Mathematics and Natural Sciences, Rheinische Friedrich-Wilhelms-U�iversitat Bonn.

Bachelor of Science in Mathematics 2010 – 2014
Department of Mathematics, Faculty of Exact and Natural Sciences, Ivane Javakhishvili Tbilisi State University.

School Diploma 1998 – 2010
Public school of Tbilisi, N171.

Projects

• ROMSOC Project 3: An Optimal Transportation computational approach of inverse free-form optical surfaces design for extended sources (765374), 2018-2021.

Talks

• Modeling Variations of the Buba and Tbilisa Glaciers Against the Backdrop of Regional Climate Change, by Teimurazi Davitashvili (Speaker), Dimitri Amilakhvari, Giorgi Rukhaia at XXXVIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2024.
• Exploring the Possibilities of Using Renewable Energy in Georgia in the Context of Climate Change Issues, by Giorgi Rukhaia (Speaker), Teimurazi Davitashvili at The Fourth International Conference "MODERN PROBLEMS IN APPLIED MATHEMATICS" Dedicated to the 105th Anniversary of I.Javakhishvili Tbilisi State University (TSU) & 55th Anniversary of I.Vekua Institut, Tbilisi, Georgia, 13-15 September, 2023.
• Exploring the Development of Hydrogen Energy in Georgia in the Face of Climate Change, by Teimurazi Davitashvili (Speaker), Inga Samkharadze, Giorgi Rukhaia at XIII International Conference of the Georgian Mathematical Union, Batumi, September 4 – 9, 2023, Batumi, Georgia, 04-09 September, 2023.
• Studying some aspects of the renewable energy in Georgia in the face of climate change, by Teimurazi Davitashvili (Speaker), Giorgi Rukhaia, Meri Sharikadze at XIV Annual International Meeting of the Georgian Mechanical Union, Poti, Georgia, 29-31 August, 2023.
• Modeling the dynamics of a mixture of natural gas and hydrogen in pipeline, by Teimurazi Davitashvili (Speaker), Giorgi Rukhaia at XXXVII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 19-22 April, 2023.
• “Point source regularisation of the extended source reflector problem, by Giorgi Rukhaia (Speaker) at The Workshop in Industrial Mathematics (WIM2021), Catanie, Italy., 20-23 October, 2021.
• Application of sinkhorn algorithm in freeform optics, by Giorgi Rukhaia (Speaker) at The Workshop in Industrial Mathematics (WIM2019), Strobl, Austria., 14-17 October, 2019.

Publications

• Teimurazi Davitashvili, Giorgi Rukhaia, Modeling the dynamics of a mixture of natural gas and hydrogen in pipeline, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics, 36, 11-14, Tbilisi University Press, 2023.
• Giorgi Rukhaia, Jean-David Benamou, Wilbert IJzerman, Guillaume Chazareix, Point source regularization of the finite source reflector problem, Journal of Computational Physics Volume 456, 1 May 2022, 111032, ELSEVIER, 2022.
• Giorgi Rukhaia, Jean-David Benamou, Wilbert IJzerman, An entropic optimal transport numerical approach to the reflector problem, Volume 27 (2020) Number 4 Pages: 311 – 340, International Press of Boston, 2020.