Tarlan Qarayev
Background
He received the Doctor of Philosophy (PhD) degree in Mathematics in 2013 and was awarded the academic title of Associate Professor in 2017. Currently, he continues his academic and pedagogical activities in Mathematics at Karabakh University.
He has extensive pedagogical experience at the country’s leading higher education institutions.
From 1996 to 1998, he completed a two-year course at the Ecology Center of the Faculty of Biology at Lomonosov Moscow State University. From 2007 to 2024, he worked as a researcher in the Department of Non-Harmonic Analysis at the Institute of Mathematics and Mechanics of the Ministry of Science and Education of the Republic of Azerbaijan. In 2015–2016, he served as a lecturer at the Department of Higher Mathematics at Baku Business University. From 2016 to 2024, he worked as a part-time lecturer at the Department of Mathematics at Khazar University. During this period, he taught courses such as Elementary Mathematics, Mathematical Analysis, Higher Algebra, Analytic Geometry, Probability Theory, and others.
He has participated in numerous grant projects, including serving as a researcher in the grant project of the Science Foundation of the Republic of Azerbaijan titled “Mathematical Modeling and Software Development of a Regional Ecological Monitoring Center System.”
He is the author of more than 30 scientific publications and has participated in several research projects.
As part of his scientific work, he established criteria for the basis property of systems with infinite defect in Banach spaces and obtained sufficient conditions for their basisness. He also derived an Lp-analogue of the “1/4–Kadets” theorem with respect to perturbed exponential systems and sine–cosine systems in the language of multipliers. Furthermore, he identified relationships between the basis properties of sine–cosine type systems in weighted Lebesgue spaces.
Degrees
2017
Associate Professor
- 2013
Doctor of Philosophy (PhD) in Mathematics
1982–1990
Baku State University
Mathematician / Mathematics Teacher
Research Interests
• Approximation Theory
• Theory of Bases