Summary

Education

Academic degree PhD in Mathematics
Educational institution Georgian Technical University
Qualification Mathematician, 2011-09-26

Academic degree Master of Theoretical Physics
Educational institution I. Javakhishvili Tbilisi State University
Qualification Master of Theoretical Physics, 2002-07-03

Academic degree Bachelor of Physics (Diploma with Honors)
Educational institution I. Javakhishvili Tbilisi State University
Qualification Teacher of physics, mathematics and informatics, 1999-07-09

Work Experience

Organization Georgian Technical University
Structural Unit Department of Mathematics
Position Professor
Date of start of work 2019-09-23
Date of completion of work Till today

Organization Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University
Structural Unit Department of Discrete Mathematics
Position Scientific Researcher
Date of start of work 2011-01-03
Date of completion of work Till today

Organization Georgian Technical University
Structural Unit Department of Mathematics
Position Associate Professor
Date of start of work 2017-10-29
Date of completion of work 2019-09-22

Organization Georgian Technical University
Structural Unit Department of Mathematics
Position Invited Associate Professor
Date of start of work 2013-10-03
Date of completion of work 2017-09-11

Organization Tbilisi Free University
Structural Unit Computer Science and Mathematics School
Position Mathematics Lecturer
Date of start of work 2011-09-01
Date of completion of work 2012-03-05

Organization Agrarian University of Georgia
Structural Unit Agricultural and Natural Sciences School
Position Mathematics Lecturer
Date of start of work 2011-09-01
Date of completion of work 2013-03-04

Organization Ilia state university
Structural Unit Faculty of Physics and Mathematics
Position Mathematics Lecturer
Date of start of work 2008-10-05
Date of completion of work 2011-07-10

Organization Ilia Vekua Institute of Applied Mathematics of Ivane Javakhishvili Tbilisi State University
Structural Unit Department of Discrete Mathematics
Position Laboratory Assistant
Date of start of work 2007-09-03
Date of completion of work 2010-01-22

Projects

• New approaches in modern analysis on metric spaces, multidimensional and Applied Harmonic Analysis. Applications to PDEs (FR-18-2499), 2019-2022.
• Integral Operators in Non-standard Function Spaces; New Aspects of Fourier Analysis and Wavelet Theory (DI-18-118), 2018-2021.
• Geometrical and Combinatorial Properties of Point Sets and their Applications (YS15_2.1.1_31), 2015-2017.
• Integral operators and boundary value problems in new function spaces; new aspects in Fourier and wavelet theories (D-13/23), 2012-2015.

Talks

• On universal functions representing certain classes of functions, by Shakro Tetunashvili (Speaker), Tengiz Tetunashvili at XXXVIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 22-24 April, 2024.
• On Mazurkiewicz type sets from the measure-theoretical and Baire property view point, by Tengiz Tetunashvili (Speaker) at XXXVIII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 22-24 April, 2024.
• On universal functions representing certain classes of functions, by Shakro Tetunashvili (Speaker), Tengiz Tetunashvili at Conference of A. Razmadze Mathematical Institute, Tbilisi, Georgia, 19-23 February, 2024.
• On universality of Rademacher series, by Shakro Tetunashvili (Speaker), Tengiz Tetunashvili 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.
• On the stability question for one problem of combinatorial geometry, by Tengiz Tetunashvili (Speaker) 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.
• On some independent families of convex subsets of the Euclidean plane, by Tengiz Tetunashvili (Speaker) at VI Workshop in Discrete Mathematics, Tbilisi, Georgia, 28 December, 2021.
• On Some Versions of Sylvester’s Problem, by Tengiz Tetunashvili (Speaker) at XI International Conference of the Georgian Mathematical Union, Batumi, Georgia, 23-28 August, 2021.
• On the existence of families of subsets of the Euclidean plane with special properties, by Tengiz Tetunashvili (Speaker) at V Workshop in Discrete Mathematics, Tbilisi, Georgia, 29 December, 2020.
• On the uniqueness of multiple function series, by Tengiz Tetunashvili (Speaker) at XXXIV International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 16-19 September, 2020.
• Point sets of special type and Sylvester’s Problem, by Tengiz Tetunashvili (Speaker) at IV Workshop in Discrete Mathematics, Tbilisi, Georgia, 24-25 December, 2019.
• A criterion of convergence in measure of a sequence of functions and Lebesgue and F.Riesz theorems, by Tengiz Tetunashvili at Conference: “Analysis and Related Topics” (Dedicated to the 70th anniversary of Prof. Gigla Oniani), Kutaisi, Georgia, 26-27 October, 2019.
• On Cantor’s Λ functional and reconstruction of coefficients of multiple function series, by Tengiz Tetunashvili at 12th International ISAAC Congress, Aveiro, Portugal, from 29 July to 02 August, 2019.
• On a new proof of the existence of rt-sets of cardinality (d+1) in $R^d$ space , by Tengiz Tetunashvili (Speaker) 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.
• On AT-, RT- and OT- sets and their modifications, by Tengiz Tetunashvili (Speaker) at III Workshop in Discrete Mathematics, Tbilisi, Georgia, 05-06 December, 2018.
• On point sets with special combinatorial properties, by Tengiz Tetunashvili (Speaker) at XXXII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 18-20 April, 2018.
• On Geometrical and Combinatorial Properties of Some Families of Subsets of Euclidean Space, by Tengiz Tetunashvili (Speaker) at II Workshop in Discrete Mathematics, Tbilisi, Georgia, 27-28 November, 2017.
• On Coverings and Decompositions of Subsets of Euclidean Space, by Tengiz Tetunashvili (Speaker) at VIII International Conference of the Georgian Mathematical Union, Batumi, Georgia, 04-08 September, 2017.
• A geometric Interpretation of the constituents of families of sets, by Tengiz Tetunashvili (Speaker) at Workshop in Discrete Mathematics, Tbilisi, Georgia, from 31 October to 01 November, 2016.
• On Geometrical Realizations of Families of Sets, by Tengiz Tetunashvili (Speaker) at VII International Joint Conference of Georgian Mathematical Union & Georgian Mechanical Union Continuum Mechanics and Related Problems of Analysis Dedicated to 125-th birthday anniversary of academici, Batumi, Georgia, 05-09 September, 2016.
• On constituents of finite families of sets, by Tengiz Tetunashvili (Speaker) at XXX International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics, Tbilisi, Georgia, 20-22 April, 2016.
• A Note on the Structure of Atomic Components of Independent Families of Sets, by Tengiz Tetunashvili (Speaker) at Swedish-Georgian Conference in Analysis & Dynamical Systems, Tbilisi, Georgia, 15-22 July, 2015.
• On families of independent sets, generated by convex sets , by Tengiz Tetunashvili (Speaker) at XXIX International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2015.
• Uniqueness Theorems for Rademacher Series , by Tengiz Tetunashvili (Speaker) at Caucasian Mathematics Conference CMC I, Tbilisi, Georgia, 05-06 September, 2014.
• On New Summability Methods with a Variable Order, by Tengiz Tetunashvili at Caucasian Mathematics Conference CMC I, Tbilisi, Georgia, 05-06 September, 2014.
• On a property of Euler-Venn diagram of an independent family of sets, by Tengiz Tetunashvili (Speaker) 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 Equidecomposability Paradoxes, by Tengiz Tetunashvili (Speaker) at II International Conference of the Georgian Mathematical Union, Batumi, Georgia, 15-19 September, 2011.
• On teaching of some set-theoretical aspects of group theory, by Tengiz Tetunashvili (Speaker) at First International Conference of Georgian Mathematical Union, Batumi, Georgia, 12-19 September, 2010.
• On elements of group theory in a higher mathematics course, by Tengiz Tetunashvili (Speaker) at XXIV Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 21-23 April, 2010.
• On the teaching of mathematics, by Tengiz Tetunashvili (Speaker) at Fifth congress of Mathematicians of Georgia, Batumi/Kutaisi, Georgia, 09-12 October, 2009.
• Combinatorial properties of families of sets and Euler-Venn diagrams, by Tengiz Tetunashvili (Speaker) at XXII International Enlarged Sessions of the Seminar of Ilia Vekua Institute of Applied Mathematics of Ivane Javakhisvili Tbilisi State University, Tbilisi, Georgia, 22-24 April, 2008.
• On irrationality of sums of powers of rational numbers, by Tengiz Tetunashvili (Speaker) at International Workshop Modern Aspects in Function Spaces, Differential Operators and Nonlinear Analysis, Tbilisi, Georgia, 08-13 September, 2003.

Publications

• Tengiz Tetunashvili, Some properties of Mazurkiewicz type sets, Trans. A.Razmadze Math. Inst., 177, No 3, 491-493 (with Lika Beraia), I. Javakhishvili Tbilisi State University, 2023.
• Tengiz Tetunashvili, Shakro Tetunashvili, A Rademacher series convergent to each real-valued function continuous over (0, 1) on certain dense subsets of (0, 1), Trans. A.Razmadze Math. Inst., 177, No 2, 327-329, I. Javakhishvili Tbilisi State University, 2023.
• Tengiz Tetunashvili, Shakro Tetunashvili, On the reconstruction of coefficients of Walsh series with gaps, Trans. A.Razmadze Math. Inst., 176, no. 1, 159-162, I. Javakhishvili Tbilisi State University, 2022.
• Tengiz Tetunashvili, Shakro Tetunashvili, On sets of uniqueness of some function series, Trans. A.Razmadze Math. Inst. 174, No 3, 437-439, I. Javakhishvili Tbilisi State University, 2020.
• Tengiz Tetunashvili, On combinatorial and set-theoretical aspects of some finite and infinite point sets, Georgian Math. J., 26, no. 4, 583-590, De Gruyter, 2019.
• Tengiz Tetunashvili, Shakro Tetunashvili, Fubini's type phenomenon for convergent in Pringsheim sense multiple function series,, Trans. A.Razmadze Math. Inst., 173, No 3, 177-178, I. Javakhishvili Tbilisi State University, 2019.
• Tengiz Tetunashvili, Shakro Tetunashvili, On Cantor’s Λ Functionals and the Reconstruction of Coefficients of Multiple Function Series, Trans. A.Razmadze Math. Inst., 173, no 2, 169-172, I. Javakhishvili Tbilisi State University, 2019.
• Tengiz Tetunashvili, Shakro Tetunashvili, On Criteria of Convergence in Measure of a Sequence of Functions, Trans. A.Razmadze Math. Inst., 173, no 2, 173-174, I. Javakhishvili Tbilisi State University, 2019.
• Tengiz Tetunashvili, On the Structure of Constituents of Finite Independent Families of Convex Bodies in $R^2$ and $R^3$ Spaces, Trans. A.Razmadze Math. Inst., 172, no 1, 115-125, Elsevier, 2018.
• Tengiz Tetunashvili, Shakro Tetunashvili, On coefficients of series with respect to the Rademacher system, Trans. A.Razmadze Math. Inst., 165, 142-146 , I. Javakhishvili Tbilisi State University, 2014.
• Tengiz Tetunashvili, Shakro Tetunashvili, On divergent orthogonal series by the methods of summability with variable order, Trans. A.Razmadze Math. Inst., 165, 147-153, I. Javakhishvili Tbilisi State University, 2014.
• Tengiz Tetunashvili, On Some Aspects of Group Theory in Higher Mathematics Courses, Georgian International Journal of Science and Technology, 3, no 1, 53-58, Nova Science Publishers, 2011.
• Alexander Kharazishvili, Tengiz Tetunashvili, On Some Coverings of the Euclidian Plane with Pairwise Congruent Circles, Amer. Math. Monthly, 117, no 5, 414-423, Mathematical Association of America, 2010.
• Tengiz Tetunashvili, To the Problem of Teaching Mathematics: Once Again on Logical and Set-Theoretical Approach, Science and Technologies, Number 7-9, 19-28, Georgian National Academy of Sciences, 2009.
• Alexander Kharazishvili, Tengiz Tetunashvili, On some combinatorial problems concerning geometrical realizations of finite and infinite families of sets, Georgian Math. J., 15, no 4, 665-675 , De Gruyter, 2008.
• Alexander Kharazishvili, Tengiz Tetunashvili, Combinatorial properties of families of sets and Euler-Venn diagrams, Trans. A.Razmadze Math. Inst., 146, 115-119, GCI , 2008.