Summary

Education:

2016-2017 Postdoc (short-term position)
University: University of Münster, Faculty of Mathematics and Computer Sciences (Germany)

2015- PhD Degree
University: Iv.Javakhishvili Tbilisi State University,
Faculty of Exact and Natural Sciences, Department of Mathematics

2011- Master’s Degree
University: Iv.Javakhishvili Tbilisi State University,
Faculty of Exact and Natural Sciences, Department of Mathematics

2010 - Master's study
University: University of Saarland, Faculty of Mathematics (Germany)
2009- Bachelor’s Degree
University: Iv.Javakhishvili Tbilisi State University,
Faculty of Exact and Natural Sciences, Department of Mathematics

Work Experiences:
2009-2011 - Specialist, I. Vekua Institute of Applied Mathematics of Iv.Javakhishvili Tbilisi State University
2011- Until today -Researcher, I. Vekua Institute of Applied Mathematics of Iv.Javakhishvili Tbilisi State University
2015 - Until today - Invited Lecturer, Iv.Javakhishvili Tbilisi State University, Department of Mathematics
2015 - Until today - Associate Professor, Georgian Technical University, Department of Mathematics
2017-2021 - Scientific Secretary, Georgian Mathematical Union

Projects

• Set-theoretical aspects of the measure extension problem (YS-21-1667), 2021-2023.
• Individual Travel Grants for Scientific events ( MG TG-19-1447), 2020-2020.
• Individual Travel Grants for Scientific events (MG-TG-2018-1562), 2019-2019.
• Som e m odifications of the notions of m easurability of sets and functions and their applications (31/25), 2013-2016.

Talks

• On some methods of extending measures, by Mariam Beriashvili (Speaker) at Winter School in Abstract Analysis 2023, Section Set Theory and Topology, 2023, Steken, Czech Republik.
• CERTAIN CLASSES OF MEASURES, THEIR CARDINALITY AND APPLICATIONS, by Mariam Beriashvili (Speaker) at 1 XXXVI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, 2022, Tbilisi, Georgia.
• Mazurkiewicz sets with no well-ordering of the reals, by Mariam Beriashvili (Speaker), Ralf Schindler at 1 XXXV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, 2021, Tbilisi, Georgia.
• On Some Models of Set Theory, by Mariam Beriashvili (Speaker) at XI International Conference of the Georgian Mathematical Union, 2021, Batumi, Georgia.
• On some properties of Mazurkiewicz type sets , by Mariam Beriashvili (Speaker) at VI Workshop in Discrete Mathematics, 2021, Tbilisi, Georgia.
• On some measurability properties of the uniform subsets, by Mariam Beriashvili (Speaker) at XXXIV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU), 2020, Tbilisi, Georgia.
• The Uniform Subsets of the Euclidean Plane, by Mariam Beriashvili (Speaker) at Winter School in Abstract Analysis 2020, 2020, Hejinice, Czech Republic.
• The logical foundation of the general systems theory, by Mariam Beriashvili (Speaker) at International Conference on Mathematical Optimization, 2019, Beijing, China.
• SET-THEORETICAL CHARACTERIZATION OF SOME CLASSES OF MEASURES, by Mariam Beriashvili (Speaker) at XXXIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU), 2019, Tbilisi, Georgia.
• Applications of Mazurkiewicz type sets in the study of measurability properties of sets and functions, by Mariam Beriashvili (Speaker) at Winter School in Abstract Analysis 2019, 2019, Hejinice, Czech Republic.
• Functions with the Thick Graphs and Measure Extension Problem , by Mariam Beriashvili (Speaker), Aleks Petre Kirtadze at IX International Conference of the Georgian Mathematical Union, 2018, Batumi, Georgia.
• Projective nonmeasurable sets, by Mariam Beriashvili (Speaker) at XXXI International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU), 2017, Tbilisi, Georgia.
• Some set theoretical aspects of measurability, by Mariam Beriashvili (Speaker) at Obersemminar, 2016, Munster, Germany.
• Some Applications of Projective Sets in Study of Absolutely Non-measurable Functions , by Mariam Beriashvili (Speaker) at VI International Conference of the Georgian Mathematical Union, 2016, Batumi, Georgia.
• Some aspects of measurability of sets in various set-theoretical mode, by Mariam Beriashvili (Speaker) at XXX International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics (VIAM) of Ivane Javakhisvili Tbilisi State University (TSU), 2016, Tbilisi, Georgia.
• A for Equations over Sequences and Contexts, by Besik Dundua (Speaker), Mariam Beriashvili at The fourth International Conference on Computer Science, Applied Mathematics and Applications (ICCSAMA 2016), 2016, Vienna, Austria .
• One Concrete Application of Point Set Theory in Measure Theory, by Mariam Beriashvili (Speaker) at Winter School in Abstract Analysis 2016, 2016, Hejinice, Czech Republic.
• On Dual Paradoxical Objects – Luzin Sets and Sierpiński Sets, by Mariam Beriashvili (Speaker) at V International Conference of the Georgian Mathematical Union, 2015, Batumi, Georgia.
• Some Properties of Exotic Point Sets with Respect to Invariant Measures, by Mariam Beriashvili (Speaker) at SWEDISH-GEORGIAN CONFERENCE IN ANALYSIS AND DYNAMICAL SYSTEMS, 2015, Tbilisi, Georgia.
• Some Applications of Additional Set-theoretical Axioms in Measure Theory, by Mariam Beriashvili (Speaker) at 3th Heidelberg Laureate Forum, 2015, Heidelberg, Germany.
• Some Applications of Set-theoretical methods in Measure Theory, by Mariam Beriashvili (Speaker) at The 19th Midrasha Mathematicae, 8th Young Set Theory Workshop, 2015, Jerusalem, Israel.

Publications

• Mariam Beriashvili, Marika Khachidze, Aleks Petre Kirtadze, Absolutely negligible sets and their algebraic sums, Transactions of A. Razmadze Mathematical Institute, 177, no. 1, 131-133, TSU, 2023.
• Mariam Beriashvili, Ralf Schindler, Mazurkiewicz sets with no well-ordering of the reals, Georgian Mathematical Journal Volume 29 Issue 1, DE GRUYTER, 2022.
• Mariam Beriashvili, The cardinality number of the certain classes of measures,, Transactions of A. Razmadze Mathematical Institute, 176 , no. 2, 269-271, TSU, 2022.
• Mariam Beriashvili, THE UNIFORM SUBSETS OF THE EUCLIDEAN PLANE, Transactions of A. Razmadze Mathematical Institute Vol. 174 (2020), issue 3, 391–393, TSU / Proc. A. Razmadze Math. Inst., 2020.
• Mariam Beriashvili, Aleks Petre Kirtadze, Tepper Gill, On measurability of real-valued functions in infinite-dimensional topological vector spaces, Georgian Mathematical Journal Volume 25 Issue 2, 195-199, DE GRUYTER, 2018.
• Mariam Beriashvili, Ralf Schindler, Hamel bases and well–ordering the continuum, Proc. Amer. Math. Soc. 146 (2018), 3565-3573, AMS, 2018.
• Mariam Beriashvili, Aleks Petre Kirtadze, “On the application of Bernstein type construction to measure extension problem, Reports of Enlarged Session of the Seminar of I. Vekua Institute of Applied Mathematics Volume 31, 11-14, TSU\ I. Vekua Institute of Applied Mathematics, 2017.
• Besik Dundua, Mariam Beriashvili, A ConstraintSolver for Equations overSequences and Contexts, Proceedings of the4th International Conferenceon Computer Science, AppliedMathematics and Applications, ICCSAMA 2016. Advances in IntelligentSystems and Computing 453, Springer, Springer Cham, 2016.
• Mariam Beriashvili, Measurability properties of certain paradoxical subsets of the real line, Georgian Math. J. 2016; 23 (1):25–32, DE GRUYTER, 2016.
• Mariam Beriashvili, On some paradoxical subsets of the real line., Georgian Int. J. Sci. Technol. 6 (2014), no. 4, 265–275., Nova Sci. Publ, 2014.
• Mariam Beriashvili, Aleks Petre Kirtadze, ON RELATIVE MEASURABILITY OF REAL-VALUED FUNCTIONS WITH RESPECT TO SOME MEASURES IN THE SPACE R^N, Proc. A. Razmadze Math. Inst. 164(2014), 95–97, TSU / Proc. A. Razmadze Math. Inst., 2014.
• Mariam Beriashvili, Aleks Petre Kirtadze, On the uniqueness property of non-separable extensions of invariant Borel measures and relative measurability of real-valued functions, Georgian Mathematical Journal Volume 21 Issue 1, 49-57, DE GRUYTER, 2014.
• Mariam Beriashvili, Aleks Petre Kirtadze, Non-separable Extensions of Invariant Borel measures and Measurability properties of Real-Valued Functions, Proc. A. Razmadze Math. Inst. 162(2013), 111–115, TSU / Proc. A. Razmadze Math. Inst., 2013.