Department of Complex Analysis and Potential Theory

Liudmyla Vyhivska

Ph.D. in Mathematics

Researcher,
Institute of Mathematics
of the National Academy of Sciences of Ukraine

  • 2022 — now - Researcher of the complex analysis and potential theory department , Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
  • 2018 — 2022 - Junior researcher of the complex analysis and potential theory department , Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
  • 2015 — 2018 - Ph.D. student, supervisor — senior doctorate of Physics and Mathematics, prof. Bakhtin O. K. , Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, Ukraine
  • Institute of Mathematics of National Academy of Sciences of Ukraine
  • Complex analysis and potential theory department
  • Tereschenkivska st.3, 01024, Kyiv, Ukraine
  • E-mails: liudmylavyhivska@ukr.net, lvyhivska@imath.kiev.ua
  • Complex and hypercomplex analysis
  • Geometric function theory of complex variable
  • Theory of analytic functions of complex variable
  • The extremal problems of analytic functions theory
  • 2015 — 2018 - Ph.D. student, supervisor - senior doctorate of Physics and Mathematics, prof. Bakhtin O. K., Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine.
  • 2014 — 2015 - Magister degree of Mathematics, Diploma with honours, Zhytomyr Ivan Franko State University, Zhytomyr, Ukraine.
  • 2014 — 2015 - Specialist degree of Mathematics, Diploma with honours , Zhytomyr Ivan Franko State University, Zhytomyr, Ukraine.
  • 2010 — 2014 - Bachelor's degree of Mathematics, Diploma with honours , Zhytomyr Ivan Franko State University, Zhytomyr, Ukraine.
  • 2017 - Bakthin A., Vyhivska L., Denega I. Inequalities for the internal radii of non-overlapping domains, Journal of Mathematical Sciences. — 2017. — Vol. 220, No. 5. — P. 584 — 590.
  • 2017 - Bakthin A., Vyhivska L., Denega I. N-radial systems of points and problems for non-overlapping domains, Lobachevskii Journal of mathematics. — 2017. — Vol. 38, No. 2. — P. 229 — 235.
  • 2017 - Vyhivska L. Some inequalities for inner radii of partially overlapping domains, Zb. pr. Institute of mathematics of National Academy of Sciences of Ukraine. — 2017. — Vol. 14, No. 1. — P. 82 — 89.
  • 2018 - Vyhivska L. On the problem of V.N. Dubinin for symmetric multiply connected domains , Journal of Mathematical Sciences. — 2018. — Vol. 229, No. 1. — P. 108 — 113.
  • 2018 - Zabolotnii Ya., Vyhivska L. On a product of the inner radii of symmetric multiply connected domains, Journal of Mathematical Sciences. — 2018. — Vol. 231, No. 1. — P. 101 — 109.
  • 2018 - Bakhtin A., Vyhivska L., and Denega I. Inequality for the inner radii of symmetric non-overlapping domains, Bulletin de la societé des sciences et des lettres de Lódź, Recherches sur les deformations, 2018, V. 68, No. 2, pp. 37-44.
  • 2018 - Vyhivska L. The problem of extreme decomposition of a complex plane with fixed poles on a circle, Proceedings of the Institute of Applied Mathematics and Mechanics of NAS of Ukraine. — 2018. — Vol. 32. — pp. 10 — 18.
  • 2019 - Bakthin A., Denega I., Vyhivska L. Inequalities for the internal radii of symmetric disjoint domains, Ukrainian Mathematical Journal. — Vol. 70, No. 9. — 2019. — P. 1477 — 1483.
  • 2019 - Bakhtin A., Vyhivska L. Estimates of inner radii of symmetric non-overlapping domains , Journal of Mathematical Sciences. — Vol. 241, No. 1. — 2019. — pp. 1 — 18.
  • 2020 - Bakhtin A., Vyhivska L. Problem on extremal decomposition of the complex plane with free poles , Journal of Mathematical Sciences. — Vol. 248, No. 2. — 2020. — pp. 145 — 165.
  • 2020 - Bakhtin A., Vyhivska L. The problem of extremal decomposition of a complex plane with three poles , Bulletin de la societé des sciences et des lettres de Lódź. Recherches sur les d eformations. — Vol. 70, No. 1. — 2020. — pp. 145 — 152.
  • 2021 - Bakhtin A., Vyhivska L., Denega I. Problem of extreme decomposition for a complex plane with free poles on a circle , Ukr. Math. J. — Vol. 72 — 2021. — pp. 1847 — 1871.
  • 2022 - Bakhtin A., Vyhivska L. The problem of extremal decomposition of a complex plane with free poles on a circle , Journal of Mathematical Sciences. — Vol. 260, No. 5. — 2022. — pp. 630 — 650.
  • 2017 - Vyhivska L. Some inequalities for inner radii of partially overlapping domains, Zbir. Pr. Inst. Matem. NAN Ukr. — 2017. — V. 14, No. 1. — pp. 82 — 89.
  • 2018 - Vyhivska L. The problem of extreme decomposition of a complex plane with fixed poles on a circle, Proceedings of the Institute of Applied Mathematics and Mechanics of NAS of Ukraine. — 2018. — Vol. 32. — pp. 10 — 18.
  • 2020 - Bakhtin A.K., Denega I.V., Vyhivska L.V., Dvorak I.Ya. Problems on extremal decomposition of the complex plane, Zb. Pr. Inst. Matem. NAN Ukr. — 2020. — Vol. 17, No. 2. — pp. 10 — 56.
  • 2016 - Some inequalities for the inner radii of non-overlapping domains, 5th International Conference for Young Scientists on Differential Equations and dedicated to Ya.B. Lopatynsky, 9 — 11 November, 2016, Kyiv, Ukraine. Abstracts. — Donetsk: Vasyl' Stus Donetsk National University, 2016. — P. 148 — 149.
  • 2017 - Some inequalities for the inner radii of partially overlapping domains, Ukraine Scientific Conference «Modern Problems Theory of Probability and Mathematical Analysis», 22 — 25 February, 2017, Vorokhta, Ivano-Frankivsk Region, Ukraine. Abstracts. — Івано-Франківськ: ДВНЗ “Прикарпатський національний університет імені Василя Стефаника”, 2017. — P. 61 — 63.
  • 2017 - On the problem of product of inner radii symmetric non- overlapping domains, International scientific conference «Algebraic and geometric methods of analysis», 31 May — 5 June, 2017, Odessa, Ukraine. — P. 103.
  • 2017 - Problems on extremal decomposition of the complex plane, 9th Elgersburg School 2017 "Control theory of digitally networked dynamic systems, Optimal control techniques", March 26 - April 1, 2017, Elgersburg, Germany.
  • 2017 - On the inner radii of symmetric non-overlapping domains, International Conference of Young Mathematicians dedicated to the 100th Anniversary of Academician of National Academy of Sciences of Ukraine, Professor Yu.O. Mitropolskiy (1917—2008), 7 — 10 June, 2017, Kyiv, Ukraine. Abstracts. — Kyiv, Institute of Mathematics of NAS of Ukraine. — P. 39.
  • 2018 - Inequalities for the inner radii of symmetric non-overlapping domains, Ukraine Scientific Conference «Modern Problems Theory of Probability and Mathematical Analysis», 27 February — 02 March, 2018, Vorokhta, Ivano-Frankivsk Region, Ukraine. — P. 42 — 43.
  • 2018 - Оцінки внутрішніх радіусів симетричних взаємно неперетинних областей, Науково-технічна конференція молодих вчених та спеціалістів Інституту проблем моделювання в енергетиці ім. Г.Є. Пухова НАН України (до 100-річчя Національної академії наук України), 16 травня, 2018, Київ, Україна. — ІПМЕ ім. Г.Є. Пухова НАН України. — C. 56 — 57.
  • 2019 - Задача про екстремальне розбиття комплексної площини з вільними полюсами, Науково-технічна конференція молодих вчених та спеціалістів Інституту проблем моделювання в енергетиці ім. Г.Є. Пухова НАН України, 15 травня, 2019, Київ, Україна. — ІПМЕ ім. Г.Є. Пухова НАН України. — C. 62 — 64.
  • 2019 - Inequalities for the inner radii of non-overlapping domains, International Conference of Young Mathematicians, June 6–8, 2019, Kyiv, Ukraine. Abstracts. – Kyiv: Institute of Mathematics of NAS of Ukraine, 2019. – P. 98.
  • 2019 - Extremal problem for domains that are non-overlapping with free poles on the circle, Hypercomplex Seminar 2019: (Hyper)Complex Analysis in Differential Equations, Geometry and Physical Applications, Mathematical Conference Center at Będlewo, July 7–14, 2019, Będlewo, Poland.
  • 2019 - Extremal problem for domains that are non-overlapping with free poles on the circle, International Conference Morse theory and its applications dedicated to the memory and 70th anniversary of Volodymyr Vasylyovych Sharko (25.09.1949-07.10.2014), Institute of Mathematics of National Academy of Sciences of Ukraine, Kyiv, Ukraine, September 25–28, 2019, Kyiv, Ukraine. Program and Abstracts. – P. 54 — 55.
  • 2019 - Extremal problem for domains that are non-overlapping with free poles , International Workshop "Recent trends in Geometric Analysis and Applications", November 25–28, 2019, Piza, Italy.
  • 2020 - Extremal problem for domains that are non-overlapping with free poles , International Minicourse and Exploratory Workshop "Geometry of Complex Webs", February 2–5, 2020, Les Diablerets, Switzerland.
  • 2020 - The problem of extremal decomposition of a comlex plane , The V– th International Scientific and Practical Conference "Open Evolving Systems" (the internet-conference), May 19–21, 2020. — P. 185 — 186.
  • 2020 - Extremal problem for non-overlapping domains with free poles , International online Conference "Algebraic and geometric methods of analysis" dedicate to the memory of Yuriy Trokhymchuk (17.03.1928-18.12.2019), Odesa, Ukraine, May 25–28, 2021: Book of Abstracts. — P. 162.
  • 2021 - Problem on extremal decomposition of the complex plane with free poles , International Conference of Young Mathematicians (online), June 3–5, 2021, Kyiv, Ukraine. Abstracts. — Kyiv, Institute of Mathematics of NAS of Ukraine. — P. 118.
  • 2021 - The problem of extremal decomposition of a complex plane with free poles , International Conference "Complex Analysis and Related Topics" dedicated to the 90th Anniversary of A.A. Gol'dberg, Lviv, June 28-July 1, 2021. – Ivan Franko National University of Lviv, 2021. — P. 5.
  • 2021 - Problem on extremal decomposition of the complex plane with free poles , 13th International ISAAC Congress, Ghent, Belgium, August 2–6, 2021: Book of Abstracts. — Ghent University, 2021. — P. 52.
  • 2021 - Variational Methods & Evolution Equations Conference, September 6–7 2021, ONLINE EVENT, Università degli Studi di Napoli "Federico II", Naples, Italy.
  • 2021 - Inequalities for the inner radii of non-overlapping symmetric domains , (Hyper)Complex Seminar 2021 in memoriam of prof. Julian Ławrynowicz, November 11–14, 2021, Poland.
  • 2022 - XXXII Seminar in Differential Equations, May 23–27, 2022, Alfredov, Czech Republic.
  • 2022 - Mini-conference of Polish Mathematical Society, IMPAN Banach Center, June 2–3 , 2022, Warsaw, Poland.
  • 2022 - Special Riemannian Metrics and Curvature Functionals, June 6–10, 2022, Pisa, Italy.
  • 2022 - Probability and Analysis 2022, September 19–23, 2022, Wroclaw, Poland.
  • 2019 - Organizing Committee, International Conference of Young Mathematicians, June 6–8, 2019, Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine.
  • Ukrainian - native language
  • Russian - fluent
  • English - fluent
  • Polish - A2