Відділ комплексного аналізу і теорії потенціалу

Ірина Денега

Ph.D. в математиці

Науковий співробітник, Інститут математики
Національної академії наук України

ORCID: 0000-0001-8122-4257
  • 2020 - теперішній час - Старший науковий співробітник, Інститут математики Національної академії наук України, Київ, Україна
  • 2018 - 2020 - Докторант, Інститут математики Національної академії наук України, Київ, Україна
  • 2018 - 2020 - Науковий співробітник, Інститут математики Національної академії наук України, Київ, Україна
  • 2012 - 2018 - Молодший науковий співробітник, Інститут математики Національної академії наук України, Київ, Україна
  • 2009 - 2012 - Аспірант, Інститут математики Національної академії наук України, Київ, Україна
  • Інститут математики Національної Академії Наук України
  • Відділ комплексного аналізу і теорії потенціалу
  • вул. Терещенківська 3, 01024, Київ, Україна
  • E-mails: iradenega@gmail.com, denega_i@imath.kiev.ua
  • Комплексний та гіперкомплексний аналізи
  • Геометрична теорія функцій комплексної змінної
  • Теорія аналітичних функцій комплексної змінної
  • 2009 - 2012 - Кандидат фізико-математичних наук, Інститут математики Національної академії наук України, Київ, Україна.
  • 2008 - 2009 - Ступінь магістра з математики, Житомирський державний університет ім. І. Франка, Житомир, Україна.
  • 2003 - 2008 - Ступінь спеціаліста з математики, Житомирський державний університет ім. І. Франка, Житомир, Україна.
  • 2016 - Лауреат Премії Верховної Ради України найталановитішим молодим ученим в галузі фундаментальних і прикладних досліджень та науково-технічних розробок 2016.
  • 2016 - Стипендіат НАН України для молодих вчених, 2016-2018.
  • 2018 - Грант Президента України для підтримки наукових досліджень молодих учених, 2018.
  • 2011 - Denega I. V. Some extremal problems on non-overlapping domains with free poles, Bulletin de la societe des sciences et des letters de Lodz, Recherches sur les deformations, 2011, V. 61, No. 3, pp. 103-114.
  • 2011 - Bakhtin А. К., Bakhtina G. P., Denega I. V. Inequalities in problems on non-overlapping domains, arXiv:1108.2383 [math. CV] Submitted on 11 Aug 2011.
  • 2011 - Bakhtin A. and Denega I. Addendum to a theorem on extremal decomposition of the complex plane, Bulletin de la societe des sciences et des lettres de Lodz, Recherches sur les deformations, 2012, V. 62, No. 2, pp. 83-92.
  • 2011 - Denega I. V. Quadratic differentials and separating transformation in extremal problems on non-overlapping domains, Dopov. Nac. akad. nauk Ukr., 2012, No. 4, pp. 15-19.
  • 2011 - Denega I. V. Some inequalities for inner radii of partially non-overlapping domains, Dopov. Nac. akad. nauk Ukr., 2012, No. 5, pp. 19-22.
  • 2011 - Bakhtin A. K., Bakhtina G. P., Denega I.V. Estimates of product of inner radii of mutually non-overlapping domains in multidimensional complex spaces, arXiv:1207.4893v1 [math.CV], Submitted on 20 Jul 2012.
  • 2013 - Denega I. Generalization of some extremal problems on non-overlapping domains with free poles, Annales universitatis Mariae Curie-Skladovska, Lublin-Polonia, 2013, V. 67, No. 1, pp. 11-22.
  • 2015 - Bakhtina G., Denega I., Dvorak I. Problems on extremal decomposition of the complex plane, arXiv:1505.06435v1 [math.CV], Submitted on 24 May 2015.
  • 2016 - Bakhtin A., Dvorak I., Denega I. Separating transformation and extremal decomposition of the complex plane, Bulletin de la societe des sciences et des lettres de Lodz, Recherches sur les deformations, 2016, V. 66, No.2, pp. 13-20.
  • 2017 - Bakhtin A. K., Vygivska L. V., Denega I. V. Inequalities for the internal radii of non-overlapping domains, Journal of Mathematical Sciences, 2017, V. 220, No. 5, pp. 584-590.
  • 2017 - Bakhtin A., Vygivska L. and Denega I. N-Radial Systems of Points and Problems for Non-Overlapping Domains, Lobachevskii Journal of Mathematics, 2017, V. 38, No. 2, pp. 229-235.
  • 2017 - Denega I. V., Zabolotnii Ya. V. Estimates of products of inner radii of non-overlapping domains in the complex plane, Complex Variables and Elliptic Equations, 2017, V. 62, No. 11, pp. 1611-1618.
  • 2017 - Denega I. V., Zabolotnyi Ya. V. Problem of nonoverlapping polycylindrical domains with poles on the boundary of a polydisk, Journal of Mathematical Sciences, 2017, V. 227, No. 1, pp. 26-32.
  • 2018 - Denega I. V., Klishchuk B. A. To the problem of extremal partition of the complex plane, Journal of Mathematical Sciences, 2018, V. 234, No. 1, pp. 472-480.
  • 2018 - Zabolotnyi Y., Denega I. On Conformal Radii of Non-Overlapping Simply Connected Domains, International Journal of Advanced Research in Mathematics, 2018, V. 11, pp. 1-7.
  • 2018 - Bakhtin A. K., Denega I. V., Vyhovska L. V. Inequalities for inner radii of symmetric disjoint domains, Ukr. Mat. Zh. , 2018, V. 70, No. 9, pp. 1282-1288.
  • 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 - Denega I. Problem on extremal decomposition of the complex plane, Bulletin de la societé des sciences et des lettres de Lódź, Recherches sur les d eformations, 2018, V. 68, No. 3, pp. 17-33.
  • 2019 - Bakhtin A. K., Denega I. V. Sharp estimates of products of inner radii of non-overlapping domains in the complex plane, Probl. Anal. Issues Anal., 2019, V. 8 (26), No. 1, pp. 17-31.
  • 2019 - Denega I., Zabolotnii Ya. Problem on extremal decomposition of the complex plane, An. St. Univ. Ovidius Constanta, 2019, V. 27, No. 1, pp. 61-77.
  • 2018 - Zabolotnii Ya., Denega I. Extremal decomposition of a multidimensional complex space for five domains, Journal of Mathematical Sciences, 2019, V. 241, No. 1., 101–108.
  • 2019 - Denega I. Estimates of the inner radii of non-overlapping domains, Journal of Mathematical Sciences, 2019, V. 242, No. 6, pp. 787-795.
  • 2019 - Bakhtin A. K., Denega I. V. Inequalities for the inner radii of non-overlapping domains, Ukr. Math. J. , 2019, V. 71, No. 7, pp. 1138-1145.
  • 2019 - Bakhtin A. K., Denega I. V. Weakened problem on extremal decomposition of the complex plane, Matematychni Studii, 2019, V. 51, No. 1., 35-40.
  • 2019 - Денега І.В. Оцінка добутків внутрішніх радіусів областей з додатковою умовою симетрії, Праці ІПММ НАН України, 2019, Т. 33, C. 83-90.
  • 2020 - Bakhtin A.K., Denega I.V. Estimation of the maximum product of inner radii of mutually disjoint domains, Ukr. Math. J., 2020, 72, P. 191-202.
  • 2020 - Denega I.V. Estimate of maximum of the products of inner radii of non-overlapping domains, Probl. Anal. Issues Anal., 2020, V. 9(27), No. 1, P. 60-65.
  • 2020 - Bakhtin A.K., Denega I.V. Extremal decomposition of the complex plane with free poles, Journal of Mathematical Sciences, 2020, V. 246, No. 1, 1-17.
  • 2020 - Bakhtin A.K., Denega I.V. Extremal decomposition of the complex plane with free poles II, Journal of Mathematical Sciences, 2020, V. 246, No. 5, 602-616.
  • 2021 - Denega I. Extremal decomposition of the complex plane for n-radial system of points, Azerbaijan Journal of Mathematics, Special Issue Dedicated to the 67th Birth Anniversary of Prof. M. Mursaleen, 2021, P. 64-74.
  • 2021 - Bakhtin A.K., Vyhivska L.V., Denega I.V. Problem of extreme decomposition for a complex plane with free poles on a circle, Ukr. Math. J., 2021, 72, No. 12, P. 1847-1871. https://doi.org/10.1007/s11253-021-01894-2
  • 2010 - Bakhtina G. P., Denega I. V. Separating transformation and estimates for inner radii of mutually disjoint domains and open sets, Zbir. Pr. Inst. Matem. NAN Ukr., 2010, V. 7, No. 2, pp. 187-195. (Russian. English summary)
  • 2010 - Bakhtin A. K., Bakhtina G. P., Denega I. V. The problem of the product of the of generalized conformal radii of nonoverlapping domains, Zbir. Pr. Inst. Matem. NAN Ukr., 2010, V. 7, No. 2, pp. 180-186. (Russian. English summary)
  • 2011 - Bakhtin A. K., Denega I. V. Some estimates of the functionals for N-radial systems of points, Zbir. Pr. Inst. Matem. NAN Ukr., 2011, V. 8, No. 1, pp. 12-21. (Russian. English summary)
  • 2012 - Bakhtin A. K., Denega I. V. The method of separating transformations in problems on the maximum of the product of the degrees of the inner radii of non-overlapping domains, Zbir. Pr. Inst. Matem. NAN Ukr., 2012, V. 9, No. 2, pp. 32-44. (Russian. English summary)
  • 2013 - Denega I. V. On an extremal problem on partially non-overlapping domains, Zbir. Pr. Inst. Matem. NAN Ukr., 2013, V. 10, No. 4-5, pp. 442-449. (Russian. English summary)
  • 2013 - Bakhtin A. K., Denega I. V. On a problem of V. N. Dubinin Zbir. Pr. Inst. Matem. NAN Ukr., 2013, V. 10, No. 4-5, pp. 401-411. (Russian. English summary)
  • 2015 - Bakhtin A. K., Bakhtina G. P., Denega I. V. Separating transformation in problems on extremal decomposition of the complex plane, Zbir. Pr. Inst. Matem. NAN Ukr., 2015, V. 12, No. 3, pp. 17-23. (Russian. English summary)
  • 2015 - Bakhtina G. P., V’jun V. E., Denega I. V. Problems on extremal decomposition for partially overlying domains, Zbir. Pr. Inst. Matem. NAN Ukr., 2015, V. 12, No. 3, pp. 31-37. (Russian. English summary)
  • 2015 - Bakhtin A. K., Dvorak I. Ya., Denega I.V. Sharp estimates of the products of internal radii of mutually disjoint domains in the complex plane, Zbir. Pr. Inst. Matem. NAN Ukr., 2015, V. 12, No. 4, pp. 29-36. (Russian. English summary)
  • 2015 - V’jun V. E., Denega I. V., Targonskii A. L. Extremal partition of the complex plane and inequalities for products of the inner radii of domains, Zbir. Pr. Inst. Matem. NAN Ukr., 2015, V. 12, No. 4, pp. 138-143. (Ukrainian. English summary)
  • 2016 - Denega I., Zabolotnii Ya. Generalization of the some results on non-overlapping domains, Proceedings of the Institute of Applied Mathematics and Mechanics of NAS of Ukraine, 2016, V. 30, pp. 43-52.
  • 2017 - Bakhtin A.K., Bakhtina G.P. and Denega I.V. Extremal decomposition of a complex plane with fixed poles, Zbir. Pr. Inst. Matem. NAN Ukr., 2017, V. 14, No. 1, pp. 34-38. (Russian. English summary)
  • 2017 - Denega I.V., Targonskii A.L. Separating transformation in a problem on extremal decomposition of the complex plane, Zbir. Pr. Inst. Matem. NAN Ukr., 2017, V. 14, No. 1, pp. 147-155.
  • 2018 - Denega I.V. Some estimates for extremal decomposition of the complex plane, Proceedings of the Institute of Applied Mathematics and Mechanics of NAS of Ukraine, 2018, V. 32, pp. 42-47. (Russian. English summary)
  • 2020 - Bakhtin A.K., Denega I.V., Vyhivska L.V., Dvorak I.Ya. Problems on extremal decomposition of the complex plane, Zbir. Pr. Inst. Matem. NAN Ukr., 2020, V. 17, No. 2, pp. 10-56.
  • 2010 - Extremal problems of functions complex variable, International Summer School on Geometric Function Theory, August 16-25, 2010, Istanbul Kültür University, http://www.iku.edu.tr/userfiles/file/ATF/GFT Abstracts.pdf.
  • 2010 - Экстремальные задачи в геометрической теории функций комплексного переменного, Міжнародна конференція "Сучасні проблеми аналізу", присвячена 70-річчю кафедри математичного аналізу Чернівецікого університету, 30 вересня – 3 жовтня 2010 р., Чернівці: Тези доповідей. – Чернівці: Книги – ХХІ, 2010. – С. 65 – 66.
  • 2011 - Некоторые экстремальные задачи о неналегающих областях со свободными полюсами на лучах, Сборник тезисов Международной конференции по Современному Анализу, 20–23 июня 2011 г., Донецк: Тезисы докладов. – Донецк, 2011. – С. 42.
  • 2011 - Extremal problems on non-overlapping domains with free poles, Hypercomplex Seminar 2011: (Hyper)Complex Function Theory, Dolbeault Cohomology, Fractals, and Physics dedicated to Professor Pierre Dolbeault on the occasion of 25 years of the direct cooperation agreement Lodz-Paris VI, July 23-30, 2011, Bedlewo, Poland.
  • 2011 - Separating transformation and quadratic differentials in extremal problems of nonoverlapping domains, The 8th Congress of the International Society for Analysis, its Applications, and Computation, August 22-27, 2011, Moskov: Peoples' Friendship University of Russia, 2011. – P. 48.
  • 2011 - Some extremal problems on nonoverlapping domains, XVIth Conference on Analytic Functions and Related Topics, June 26–29, 2011, Chelm: Abstracts. – Chelm: Institute of Math. and Computer Science of the State School of Higher Education, 2011. – P. 18–19.
  • 2011 - Extremal problems on nonoverlapping domains with free poles on rays, International conference "Complex analysis and its applications" devoted to 70-th anniversary of A.F.Grishin, Book of abstracts. – Kharkiv: V.N. Kharkiv National University, B. Verkin Institute for Low Temperature Physics and Engineering of the NASU, 2011. – P. 17–18.
  • 2011 - Separating transformation in extremal problems on nonoverlapping domains, IV-та Конференція молодих учених із сучасних проблем механіки і математики ім. академіка Я.С. Підстригача, 24–27 травня 2011 р., Львів: Тези доповідей. – Львів: Інститут прикладних проблем механіки і математики ім. Я.С. Підстригача НАН України, 2011. – С. 211 – 212.
  • 2012 - Estimates of product of inner radii of mutually nonoverlapping domains in multidimensional complex spaces, International Conference on Algebra dedicated to 100th anniversary of S.M.Chernikov, Book of abstracts. - August 20-26, Dragomanov National Pedagogical University, Kyiv, Ukraine, 2012. - p. 28.
  • 2012 - Нерівності для внутрішніх радіусів в екстремальних задачах про неперетинні області, Міжнародна конференція "Теорія наближення функцій та її застосування", присвячена 70-річчю з дня народження члена-кореспондента НАН України, професора О.І. Степанця (1942–2007), 28 травня – 3 червня 2012 року. Кам'янець-Подільський: Тези доповідей. – Кам'янець-Подільський, 2012. – С. 43.
  • 2015 - Задачі про екстремальне розбиття комплексної площини, International conference of young mathematicians, June 3-6, 2015, Kyiv, Ukraine. Abstracts. - Kyiv: Institute of Mathematics of NAS of Ukraine, 2015. - P.72.
  • 2015 - Extremal decomposition of the complex plane, X літня школа "Алгебра, Топологія, Аналіз", 3-15 серпня 2015, Одеса, Україна: Тези доповідей. - Київ: Інститут математики НАН України, 2015. - С. 65-66.
  • 2015 - Separating transformation and extremal decomposition of the complex plane, Hypercomplex Seminar 2015: (Hyper)Complex and Dynamical Processes, Modelling and Simulations, Mathematical Conference Center at Będlewo, July 2-9, 2015, Bedlewo, Poland.
  • 2016 - Sharp estimates of products of inner radii of non-overlapping domains in the complex plane, XI Лiтня школа “Алгебра, Топологiя, Аналiз”, 1 – 14 серпня 2016 р., Одеса, Україна: Тези доповiдей. — Київ: Iнститут математики НАН України, 2016. — С. 40-41. http://www.imath.kiev.ua/~topology/ata11/ata11_theses.pdf
  • 2016 - Sharp estimates of products of inner radii of nonoverlapping domains in the complex plane, Hypercomplex Seminar 2016: (Hyper)Complex and Harmonic Dynamical Modelling vs. Special Ternary or Quaternary Nanostructures and Related Problems (30 years of the direct cooperation agreement Łódź – Paris VI), Mathematical Conference Center at Będlewo, June 30 - July 7, 2016, Bedlewo, Poland.
  • 2016 - N-radial systems of points and problems for non-overlapping domains, 5th International Conference for Young Scientists On Differential Equations and Applications dedicated to Yaroslav Lopatynsky, November 9-11, 2016, Kyiv, Ukraine, Book of Abstracts. - P. 53-55.
  • 2017 - On the problem of extremal decomposition of the complex plane, Сучасні проблеми теорії ймовірностей та математичного аналізу: Всеукраїнська наукова конференція, тези доповідей. Ворохта, 22 - 25 лютого 2017 р. - Івано-Франківськ: ДВНЗ "Прикарпатський національний університет імені Василя Стефаника", 2017. - С. 73-75.
  • 2017 - Problem on extremal decompocition of the complex plane, Міжнародна наукова конференція «Асимптотичні методи в теорії диференціальних рівнянь», присвячена 85-річчю відомого українського математика, педагога та організатора освіти Шкіля Миколи Івановича (13.12.1932—14.11.2015), 13-14 грудня 2017 (Київ, Україна) - С. 38-39.
  • 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 - Problems on extremal decomposition of the complex plane, Workshop "Young Women in Geometry", Mon, 2017-04-03 - Wed, 2017-04-05, Bonn, Germany.
  • 2017 - On conformal radii of symmetric disjoint domains, Hypercomplex Seminar 2017: (Hyper)Complex and Harmonic Dynamical Modelling: Topology in Physics of Dynamical Systems and Molecular Nanoengines (30 years of the direct cooperation agreement Łódź [University and Łódź Society of Sciences and Arts] – Kyiv [National Academy of Sciences of Ukraine]), Mathematical Conference Center at Będlewo, July 22 - July 29, 2017, Będlewo, Poland.
  • 2017 - Estimates of products of inner radii of non-overlapping domains in the complex plane, International scientific conference «Algebraic and geometric methods of analysis», May 31 - June 5, 2017, Odessa, Ukraine. - P. 53-54.
  • 2017 - On one Dubinin extremal problem, International Conference of Young Mathematicians dedicated to the 100th Anniversary of Academician of National Academy of Sciences of Ukraine, Professor Yu. O. Mitropolskiy, June 7–10, 2017, Kyiv, Ukraine.
  • 2018 - Problem on non-overlapping polycylindrical domains with poles on the boundary of a polydisk, International scientific conference "Algebraic and geometric methods of analysis", May 30 – June 4, 2018, Odessa, Ukraine.
  • 2018 - On conformal radii of symmetric non-overlapping domains, World Meeting for Women in Mathematics, July 31, 2018, Rio de Janeiro, Brazil.
  • 2018 - Problem on extremal decomposition of the complex plane, International Congress of Mathematicians, August 1-9, 2018, Rio de Janeiro, Brazil.
  • 2018 - Problems on extremal decomposition of the complex plane with free poles, International Conference Harmonic Analysis and Approximations, VII, Dedicated to 90th Anniversary of Alexandr Talalyan, September 16-22, 2018, Tsaghkadzor, Armenia. Abstracts, Yerevan, 2018. - pp. 25-26.
  • 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 - Estimates of the inner radii of non-overlapping domains on the complex plane, International conference "Functional methods in approximation theory, differential equations and numerical mathematics IV" dedicated to the 100th anniversary of V.K. Dzyadyk (1919-1998), June 20-26, 2019, Svityaz’ village, Volyn’ region, Ukraine. Abstracts. - Kyiv: Institute of Mathematics of NAS of Ukraine, 2019. - P. 16.
  • 2019 - Estimates of the inner radii of non-overlapping domains, 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 decomposition of the complex plane with free poles, 12th International ISAAC Congress, 29 July – 2 August 2019, University of Aveiro, Portugal.
  • 2019 - Estimates of the inner radii of symmetric non-overlapping domains, Bogolyubov Kyiv Conference "Problems of theoretical and mathematical physics", September 24–26, 2019, Kyiv, Ukraine. Program and Abstracts. – P. 100.
  • 2019 - Extremal decomposition problems, International Conference on Mathematical Analysis and Its Applications, December 14-16, 2019, New Delhi, India.
  • 2020 - Extremal decomposition of the complex plane with fixed points, International e-Conference on Nonlinear Analysis and its Applications, July 27–29, 2020, Department of Mathematics, Dayanand Science College, Latur, India. Abstract book. – P. 78.
  • 2020 - OTHA online workshop 2020 on operator theory and harmonic analysis and their applications, August 24-25, 2020, Rostov-on-Don, Russia.
  • 2020 - Virtual Heidelberg Laureate Forum, September 21-25, 2020, Heidelberg, Germany.
  • 2021 - Extremal decomposition of the complex plane, 8th European Congress of Mathematics, Portoroz (Slovenia) 20-26 June 2021: Book of Abstracts. – University of Primorska Press, 2021. – P. 144-145. https://doi.org/10.26493/978-961-293-083-7
  • 2021 - Estimates of products of inner radii of pairwise non-overlapping domains, 13th International ISAAC Congress. Ghent (Belgium) 2-6 August 2021: Book of Abstracts. – Ghent University, 2021. – P. 44-45. https://cage.ugent.be/isaac2021/index.php?page=program
  • 2016 - Program Committee, International Conference of Young Mathematicians, June 6–8, 2019, Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine.
  • 2021 - Scientific Committee, International Online Conference Algebraic and Geometric Methods of Analysis dedicated to the memory of Yuriy Trokhymchuk (17.03.1928-18.12.2019), May 25-28, 2021, Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine.
  • 2021 - Program Committee, International Conference of Young Mathematicians, June 3–5, 2021, Institute of Mathematics of NAS of Ukraine, Kyiv, Ukraine.
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