Department of Complex Analysis and Potential Theory

Yaroslav Zabolotniy

Ph.D. in Mathematics

Research Fellow, Institute of Mathematics
of the National Academy of Sciences of Ukraine

ORCID: 0000-0002-7279-8213
Held positions
  • 2018 - now - Research Fellow, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine.
  • 2011 - 2018 - Junior Research Fellow, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine.
  • 2008 - 2011 - Postgraduate student, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine.
  • 2008 - Assistent of Department of Mathematical Analysis, Ternopil Volodymyr Gnatiuk Natoinal Pedagogical University, Ternopil, Ukraine.
Research topics
  • Geometric function theory of a complex variable
  • Theory of analytic functions of a complex variable
Education
  • 2014 - Degree of Candidate of Physical and Mathematical Sciences, Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine.
  • 2008 - Master's degree in Mathematics, Ternopil Volodymyr Gnatiuk Natoinal Pedagogical University, Ternopil, Ukraine.
  • 2007 - Bachelor's degree in Mathematics, Ternopil Volodymyr Gnatiuk Natoinal Pedagogical University, Ternopil, Ukraine.
Research visits
Published papers
  • 2019 - Iryna Denega and Yaroslav Zabolotnii, Problem on extremal decomposition of the complex plane, Analele Universitatii" Ovidius" Constanta-Seria Matematica, Vol. 27, №1, 2019, pp. 61-77
  • 2019 - I.Denega and Ya.Zabolotnii, Extremal decomposition of multidimensional complex space of five domains, Journal of Mathematical Sciences, Vol. 241, No. 1, 2018, pp. 101–108.
  • 2018 - Ya.Zabolotnii, I. Denega, On Conformal Radii of Non-Overlapping Simply Connected Domains, International Journal of Advanced Research in Mathematics, Vol. 11, 2018, pp. 1-7
  • 2018 - Yaroslav V.Zabolotnyi, Liudmyla V.Vyhivska, On a product of the inner radii of symmetric multiply connected domains, Journal of Mathematical Sciences, Vol. 231, No. 1, 2018, pp. 101–109.
  • 2017 - Ya.Zabolotnii, I.Dvorak, Some evaluation of maximum of the product of conformal radii for pairwise non-overlapping domains, Lobachevskii Journal of Mathematics, 2017, Vol. 38, No. 3, pp. 554–559.
  • 2017 - Bakhtin A.K., Dvorak I.Ya., Zabolotnyi Ya.V., Estimates for the Product of Inner Radii of Five Nonoverlapping Domains, Ukrainian Mathematical Journal, July 2017, Volume 69, Issue 2, pp. 304–311.
  • 2017 - Irina V. Denega, Yaroslav V.Zabolotnyi, Problem of nonoverlapping polycylindrical domains with poleson the boundary of a polydisk, Journal of Mathematical Sciences, Vol. 227, No. 1, 2017, pp. 26–32.
  • 2017 - I.V. Denega & Ya.V. Zabolotnii., Estimates of products of inner radii of non-overlapping domains in the complex plane , Complex Variables and Elliptic Equations, Feb 2017, V.62, No. 11, pp. 1611–1618.
  • 2017 - A.K. Bakhtin and Ya.V. Zabolotnyi , Estimates of a product of the inner radii of nonoverlapping domains. , Journal of Mathematical Sciences, Vol. 221, No. 5, 2017, pp. 623–629.
  • 2016 - I.V. Denega, Y.V. Zabolotnii , Generalization of the some results on non-overlapping domains. , Proceedings of IAMM of NASU, 2016, Volume.30. pp. 43–52.
  • 2016 - Zabolotnij, Ja.V. , Determination of the maximum of a product of inner radii of pairwise nonoverlapping domains , Dopov. Nac. akad. nauk Ukr. 2016, No. 3. pp. 7–13. (in Ukrainian)
    DOI: 10.15407/dopovidi2016.03.007
  • 2015 - A.K. Bakhtin, Ya.V. Zabolotniy , On a particular case of the well-known problem of V.N. Dubinin. , Proceedings of IAMM of NASU, 2016, Volume.29. pp. 17–22.
  • 2013 - O. K. Bakhtin, Ja. V. Zabolotnij, Estimates of the product of the inner radii of three nonoverlapping domains , Dopov. Nac. akad. nauk Ukr. 2013, No.10. pp. 7–10. (in Ukrainian)
  • 2012 - Zabolotnyi Ya.V. , On one Dubinin extreme problem , Ukrainian Mathematical Journal, June 2012, Volume 64, Issue 1, pp. 24–34.
  • 2011 - Zabolotnij Ja.V. , Application of separation transformation in one problem on non-overlapping domains , Dopov. Nac. akad. nauk Ukr. 2011, No.9. pp. 13–17. (in Ukrainian)
  • 2011 - Zabolotnij Ja.V., Application of a dividing transformation in the problems of nonoverlapping domains , Dopov. Nac. akad. nauk Ukr. 2011, No.4. pp. 20–23. (in Ukrainian)
Publications in books and proceedings
  • 2017 - Ya. V. Zabolotnii, Estimates of maximum of product of inner radii of non-overlapping domains. Zb. Pr. Inst. Mat. NAN Ukr. 14(1), 2017, P. 156-162. (Ukrainian), Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine, 2017.
  • 2013 - Ya. V. Zabolotnii , The problem about maximum of product of inner radii of non-overlapping domains. Zb. Pr. Inst. Mat. NAN Ukr. 10, №4-5, 2013, P. 557 - 564. (Ukrainian), Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine, 2013.
  • 2011 - Ya. V. Zabolotnii , Some extremal problems in geometric functions theory. Zb. Pr. Inst. Mat. NAN Ukr. 8, №1, 2011, P. 88 - 96. (Ukrainian), Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine, 2011. Т.8, №1. - C. 88 - 96.
  • 2010 - O. K. Bakhtin, Ya. V. Zabolotnii , Using the separating transformation in problems about non-overlapping domains. Zb. Pr. Inst. Mat. NAN Ukr. 7, №2, 2010, P. 327 - 331. (Ukrainian), Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine, 2010.
  • 2010 - O. K. Bakhtin, G. P. Bakhtina, Ya. V. Zabolotnii , Some estimates of inner radii of policilindric non-overlapping domains. Zb. Pr. Inst. Mat. NAN Ukr. 7, №2, 2010, P. 322 - 326. (Ukrainian), Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine, 2010.
Talks at conferences, workshops, schools, etc.
Attended conferences, workshops, schools, etc.
  • 2017 - Denega I., Zabolotnij Ja., On the problem of extremal decomposition of the complex plane Сучасні проблеми теорії ймовірностей та математичного аналізу: Всеукраїнська наукова конференція, Ворохта, 22-25 лютого 2017 р.
Organizing activity
Languages
  • Ukrainian - native language
  • Russian - free
  • English - basic