Sergo Yepiskoposyan ( Episkoposian)
Yerevan
Overview
18
18
years of professional experience
Work History
Teacher of Mathematics
IB Diploma Programme
01.2024
Head of the Chair of specialized mathematics education
Faculty of Applied Mathematics and Physics of NPUA
01.2022
Deputy Director, Head of the Mathematics Department
NPUA Yerevan High School
01.2020
Professor
Faculty of Applied Mathematics and Physics of NPUA
01.2014
Senior Researcher
YSU Linear and non-linear approximations and their application
01.2014 - 01.2016
Associate Professor
Faculty of Mathematics (Physics)
01.2000 - 01.2014
Scientific Researcher
Yerevan State University
Yerevan, Armenia
01.2000 - 01.2010
Lab. Assistant
Faculty Applied Mathematics and Informatics
01.1998 - 01.2005
Education
Ph.D. - Mathematics And Computer Science
NPUA
Yerevan, Armenia01.2001
Master of Science - Mathematics And Computer Science
State Engineering University of Armenia
Yerevan, Armenia01.1998
Student - Department of Mathematics
Yerevan State University
Yerevan, Armenia06.1996
Skills
- In-depth Subject Knowledge
- Teaching Diverse Learners
- Expert Problem Solving
- Student Assistance
- Critical thinking promotion
- Geometry
- Number Theory
- Online Teaching
- Algebra
- Mathematics and Statistics
- Student Tutoring
- Student Engagement
- Lesson Planning
- Technology Integration
- Mathematics
Affiliations
Armenian Mathematical Union (AMU)
Orcid
https://orcid.org/0000-0002-8811-2247
Languages
English
Russian
Birthday
12/02/74
Current Position
Professor, Head of the Chair of specialized mathematics education, National Polytechnic University of Armenia (NPUA), Yerevan, Terian st. 105, Yerevan, (374 2) 562-882
Degrees
- Masters of Mathematics, NPUA, 10/20/98
- Research Engineer of Mathematics, SEUA, 11/01/00
- Candidate of Phys.- Math. Sciences (= Ph. D), Yerevan State University, 2001
- Docent of Mathematical Sciences, NPUA, 05/18/04
Doctorate
Issues of universality, topological transitivity and representation in the theory of classical orthogonal systems, YSU, 2014
Positions
- Lab. Assistant, Faculty Applied Mathematics and Informatics, SEUA, 1998, 2005
- Scientific Researcher, Higher Mathematics Chair, YSU, 2000, 2010
- Associate Professor, Faculty of Mathematics (Physics), Yerevan State University, 2000, 2014
- Senior Researcher, YSU Linear and non-linear approximations and their application, Scientific Research Laboratory, 2014, 2016
- Professor, Faculty of Applied Mathematics and Physics, NPUA, 2014
- Deputy Director, Head of the Mathematics Department, NPUA Yerevan High School, NPUA, 2020
- Head of the Chair of specialized mathematics education, Faculty of Applied Mathematics and Physics, NPUA, 2022
- Teacher, Mathematics IB Diploma Programme, 2024
Phd Supervisors
- Tigran M. Grigoryan, Some problems of convergence series by classical systems, YSU, 2014
- Tigran M. Grigoryan, Some problems of representations and convergence in the theory of orthogonal systems, NPUA, 2018
Teaching Experience
- Hager mathematics
- Mathematical analysis
- Theory of measure
- Linear algebra
- Analytic geometry
- Theory of functions of complex variables
- Functional analysis
- Theory of orthonormal systems and polynomial approximation of functions
- Harmonic analysis
- Machine learning
- Artificial intelligence
Research Grants
- Grant- 96-880 from the Government of Armenia, 1997-2000
- Grant- 96-880 from the Government of Armenia, 2000-2003
- Grant- 96-880 from the Government of Armenia, 2004-2006
- 2013 DAA D - A/13/03763- grants for research stay in Germany
- 2016 DAA D - A/16/ 57210259 - grants for research stay in Germany
Dissertation
On the existence of universal series by trigonometric and Walsh systems in weighted spaces, YSU, Candidate of Physico-Mathematical Sciences (PhD thesis)
Publications
- Episkoposian S.A., On the series by Walsh system universal in weighted spaces, IzvestiyaNatsionalnoiAkademiiNaukArmenii, English trans. in: Journal of Contemporary Mathematical Analysis, 1999, v.34, n.2, p.16-32.
- Episkoposian S.A., Grigorian M.G., On universal trigonometric series in weighted spaces, East Journal on Approximations, 1999,v.5 , n.4, 483-492.
- Episkoposian S.A., On the divergence of Fourier-Walsh series, Uch. Zapiski., Yerevan State University, 2000, N 2, p. 19-23. [in russian]
- Episkoposian S.A., Grigorian M.G., Representation of functions in weighted spaces by trigonometric and Walsh series, Analysis Mathematica, 27 (2001), 261-277.
- Episkoposian S.A., On the multiplicatively completion of Walsh subsystem to quasibasis in, International Conference, HARMONIC ANALYSIS and APPROXIMATION II, Nor Amberd, Armenia, 2001, p. 17.
- Episkoposian S.A., On the existence of universal series by Walsh system, IzvestiyaNatsionalnoiAkademiiNaukArmenii, English trans. in: Journal of Contemporary Mathematical Analysis, 2003, v. 38 , n.4, p. 25 – 40.
- Episkoposian S.A., On the null series by trigonometric system, Mathematics in Higer School, 2003, n. 1, p. 36-43. [in russian]
- Episkoposian S.A., On the universal series by trigonometric and Walsh systems in weighted spaces, Seventh Int. Symposium on Orthogonal Polynomials, Special Functions and Applications, Copenhagen, Denmark, August 18-22, 2003.
- Episkoposian S.A., Representation of functions in weighted spaces by trigonometric series, Mathematics in Higer School, 2004, n. 3, p. 35-45[in russian]
- Episkoposian S.A., On the existence of universal series by trigonometric system, The 12th Saratov winter school, Modern problems of the theory Functions and their application, 2004, Saratov, Russia.
- Episkoposian S.A., On the existence of universal series by trigonometric system, Journal of Functional Analysis, 2006, V. 230, p. 169 – 189.
- Episkoposian S.A., On divergence of Greedy algorithm by generalized Walsh systems in, Izvestiya Natsionalnoi Akademii Nauk Armenii, English trans. in: Journal of Contemporary Mathematical Analysis, Vol.41, n.2, 2006, p. 14 – 24.
- Episkoposian S.A., Universal series by trigonometric system in weighted spaces, International Journal Mathematics and Mathematical Scianeses, (2006),N19,Art. ID 62909, p.1 –13.
- Episkoposian S.A., On the divergence of Greedy algorithms with respect to Walsh subsystems in, Nonlinear Analysis: Theory, Methods & Applications, Volume 66, Issue 8, 2007, Pages 1782-1787.
- Episkoposian S.A., On greedy algorithms with respect to generalized Walsh system, Global Journal of Pure and Applied Mathematics, V.3 , N 1, 2007, pp. 77-86.
- Episkoposian S.A., Existence of double Walsh series universal in weighted spaces, International Journal of Modern Mathematics, 2 (2) , 2007, pp. 231 – 247.
- Episkoposian S.A., On the constant of Lebeguswith respect to generalized Walsh system, Mathematics in Higer School, 2008, v. IV, n.4, pp.18-29 [in russian].
- Episkoposian S.A., On greedy algorithms with respect to generalized Walsh system, International Conference, HARMONIC ANALYSIS and APPROXIMATION IV, Tsahkadzor, ARMENIA, 2008.
- Episkoposian S.A., T. M. Grigorian, On trigonometric series with monotonic coefficients in, Journal of Nonlinear Analysis and Application, 2011, V. 2011, p. 1-10, Article ID jnaa-00075.
- Episkoposian S.A., On the series with monotonic coecients by generalized Walsh system, The InternationalConference HARMONICAN ALYSIS AND APPROXIMATIONS, V, Dedicated to 75th anniversary of academician Norair Arakelian, 10 - 17 September, 2011, Tsaghkadzor,Armenia.
- Episkoposian S. A., - convergence of greedy algorithm by generalized Walsh system, Banach Journal of Mathematical Analysis, 6 (2012), no. 1, 161–174.
- Episkoposian S. A., Grigorian M.G., - convergence of greedy algorithm by generalized Walsh system, Journal of Mathematical Analysis and Applications, 389 (2012), p. 1374-1379.
- Episkoposian S.A., T. M. Grigorian, A representations of functions from class by series with monotonic coefficients concerning Haar systems, Journal of the Indian Math. Soc., 2013, Vol. 80, N. 1 - 2, p. 57-68.
- Episkoposian S.A., and uniform convergence of series by the generalizedWalsh system, Second International Conference Mathematics in Armenia Advances and Perspectives,Tsaghkadzor, Armenia, 2013, p. 30-31.
- Episkoposian S.A., Universality properties of double series by generalized Walsh system, International Journal of Analysis, Volume 2013, Article ID 424686, 9 pages
- Episkoposian S.A., Uniformly convergence of greedy algorithm by generalized Walshsystem, Siberian Mathematical Journal, 2013, Volume 54, Issue 5 , pp 810-816.
- Episkoposian S.A., Muller J., Universality properties of Walsh-Fourier series, Monatshefte fur Mathematik, Springer, (2014) Volume 175, p.511–518.
- Episkoposian S.A., The universality criterion for continuous mapping, Mathematics in Higer School, 2014, v. 10, n. 1, p. 21 – 29.
- Episkoposian S.A., Saghatelyan T.M., On the series by generalized Walsh systems with monotonic coefficients in, Mathematics in Higer School, 2014, v. 10, n.2 , p. 21 – 29.
- Episkoposian S.A., On uniqness of series with generalized Walsh system, Mathematica Montisnigri, 2015, v. XXXII, p. 38-54.
- Episkoposian S.A., On the existence of universal series by generalized Walsh system, 2016, Banach Journal of Mathematical Analysis, 2015, 10(2): 415-429.
- Episkoposian S.A., Muller J., On the pointwise universality of the partial sums of Fourier series by the generalized Walsh system, 2016, IzvestiyaVuzov, English trans. in: Russian Mathematics, 2016, n.3, p. 38 - 47.
- Episkoposian S.A., Saghatelyan T.M., Convergence and integrability of series with monotone decreasing coefficients by Chrestenson - Levy systems, Journal of the Indian Math. Soc., 2017, vol. 84, n. 3-4, p. 182 - 190.
- Episkoposian S. and Meuller J., On pointwise universality of partial sums of Fourier series by the generalized Walsh system, International Conference, HARMONIC ANALYSIS and APPROXIMATION VII, Tsahkadzor, ARMENIA, 2018. 34-36.
- Episkoposian S. A., Grigoryan T. M., Simonyan L. S., On -greedy universal functions with respect generalized Walsh system, Journal of Contemporary Mathematical Analysis, Vol. 57, n. 6, 2022, p. 3 – 17.
- Episkoposian S.A., On the - greedy universal functions with respect to the generalized Walsh system, Third International Conference MATHEMATICS IN ARMENIA: Advances and Perspectives Dedicated to the 80th anniversary of foundation of Armenian National Academy of Sciences, pp. 25-27, 2023.
- Episkoposian S.A., Securing information with the Walsh transform, Proceedings of the III International Scientific and Practical Conference. Questions, hypotheses. answers: science XXI century, September 12-13, 2023, p. 10 – 14, Toronto. Canada. ISBN 978-91-65423-33-6 ; DOI https://doi.org/10.5281/zenodo.8348246
- Episkoposian S.A., Application of Walsh system in Data Encrypition, Tuijin Jishu/Journal of Propulsion Technology, Vol. 44, No. 3, 2023, p. 494 – 502.
Timeline
Teacher of Mathematics
IB Diploma Programme
01.2024
Head of the Chair of specialized mathematics education
Faculty of Applied Mathematics and Physics of NPUA
01.2022
Deputy Director, Head of the Mathematics Department
NPUA Yerevan High School
01.2020
Professor
Faculty of Applied Mathematics and Physics of NPUA
01.2014
Senior Researcher
YSU Linear and non-linear approximations and their application
01.2014 - 01.2016
Associate Professor
Faculty of Mathematics (Physics)
01.2000 - 01.2014
Scientific Researcher
Yerevan State University
01.2000 - 01.2010
Lab. Assistant
Faculty Applied Mathematics and Informatics
01.1998 - 01.2005
Ph.D. - Mathematics And Computer Science
NPUA
Master of Science - Mathematics And Computer Science
State Engineering University of Armenia
Student - Department of Mathematics
Yerevan State University