Zelinskyi Yurii Borisovich
Education
He graduated from the Mechanics and Mathematics Faculty of Kyiv Taras Shevchenko University - 1970.
Dissertations
PhD thesis under the direction of Corresponding Member of NASU UU Trokhymchuk - 1973., Doctor - 1989 .. Since 1973 works at the Institute of Mathematics of NAS of Ukraine as from engineer to the head of complex analysis and potential theory since 2003. Scientific works were presented in plenary presentations at international conferences. Member of the organizing committees of many mathematical schools, competitions and conferences. A member of specialized councils of the Institute of Mathematics of NAS of Ukraine and in Chernovtsy State University. Leader Seminar on Complex Analysis Institute of Mathematics Sciences.
Research interests
Of scientific interest - topological and geometrical methods to solve analytical problems of complex analysis and the theory of maps.
Experience
Theory of mappings:
He is the first who applied local degree of mapping to multivalued mappings of topological manifolds. Thanks to this it is solved the problem of estimation dimensionality of subset with fixed multiplicity for the mappings of domains on the manifolds if the properties of mappings on the boundary of domains are known. Those open problems where proposed by polish mathematicians H Steinhaus and A.Kosiński in 50-th of the last century.
Complex analysis:
He generalized the principle of the boundary correspondence to mappings between domains of n-dimensional complex manifolds, obtaining from minimal conditions on the boundary results concerning univalence or monotony of mappings, singularities elimination.
He applied geometrical methods and method of multivalued mapping to analytical problems. He deeply studied the relations between different types of convexity and obtained the full topological classification of linearly convex and strongly convex sets with smooth boundaries; he received estimates of cohomology groups for generalized convex domains and compacts in multidimensional complex space. In this connection, well known problems of L. Aizenberg of description of generalized convex sets are solved. He created a new direction in complex analysis which is analog of classical real convex analysis. Using his own methods, he proposed a new approach in the research of generalized convex sets on the Grassmanian manifolds.
Author of over 220 scientific papers including 3 monographs and 14 manuals.
He is the first who applied local degree of mapping to multivalued mappings of topological manifolds. Thanks to this it is solved the problem of estimation dimensionality of subset with fixed multiplicity for the mappings of domains on the manifolds if the properties of mappings on the boundary of domains are known. Those open problems where proposed by polish mathematicians H Steinhaus and A.Kosiński in 50-th of the last century.
Complex analysis:
He generalized the principle of the boundary correspondence to mappings between domains of n-dimensional complex manifolds, obtaining from minimal conditions on the boundary results concerning univalence or monotony of mappings, singularities elimination.
He applied geometrical methods and method of multivalued mapping to analytical problems. He deeply studied the relations between different types of convexity and obtained the full topological classification of linearly convex and strongly convex sets with smooth boundaries; he received estimates of cohomology groups for generalized convex domains and compacts in multidimensional complex space. In this connection, well known problems of L. Aizenberg of description of generalized convex sets are solved. He created a new direction in complex analysis which is analog of classical real convex analysis. Using his own methods, he proposed a new approach in the research of generalized convex sets on the Grassmanian manifolds.
Author of over 220 scientific papers including 3 monographs and 14 manuals.
Talks on conferences
Selected adresses
1. ÓÏ All-union topological conference, Minsk , 1977
2. Conference on analytic functions, Kozubnik, April, 18 - 26, 1979 Poland.
3. International conference on topology, Moscow, 25 - 29 ,06, 1979
4. International conferences on complex analysis Varna, 1981, 1985, 1987
5. International conference on topology, Leningrad, 1982
6. Colloquium on topology, Eger, Hungary, 1983
7. International conference on topology, Baku, 1987
8. 5-th conference on complex analysis, Halle, Germany, 1988
9. International conference on complex analysis and potential theory. Kyiv, 31.10-3.11, 2000, 7-12.08 . 2001, 29.6-5.7. 2011, 19-23.08. 2013
10. Ukrainian mathematical congress, Kyiv, 21-23.8.2001
11. International conference on complex analysis and potential theory, satellite to the international congress of mathematicians, Gebze, Turkey 8-14.09, 2006
12. 6-th international ISAAC congress, 13-18 august 2007.- Ankara
13. Bogolubov reading 2007 dedicated to Yu.A.Mitropolskii on occasion of his 90-th birthday, Zhytomyr-Kyiv 19.08-2.09, 2007
14. International conference ”Rimannian geometry and applications”, 8-11.6.2008 Brasov, Romania
15. International conference ”Complex analysis and related topics, 14-19.8.2008 Alba Iulia, Romania
16. XV International conference on analytic function and related topics, July 5-9,2009, 25-30.6, 2011,Chelm, Poland
17. Summer school on geometric function theory 2010 Istanbul
18. 8th International ISSAC Congress, 22-27.09.2011.- Moscow
19. Szósty symposium z neliniowej analizy.-Toruń, 7-9.09.2011, Polska
20. International seminar Hypercomplex analysis and related topics.- Bedlewo 2002, 2005, 2006, 2008-2013 Poland
21. Conference “Functional Methods in Approximation Theory and Operator Theory”,Svitiaz.- 22-26.8 .2009
22. Ukrainian mathematical congress, Kyiv, 27-29.8.2009
23. Crimean autumn mathematical schools, 2009, 2013
24. International Conferences "Geometric Methods in Complex Analysis" Bedlewo 8-13 May 2011, 2012 Poland
25. 6 European mathematical congress 2-7.07.2012, Krakow,
26. 7 International workshop „Analytical methods of analysis and differential equation” ÀÌÀDÅ 10-15 –09-2012, Minsk
27. International Conference dedicated to 120-th anniversary of Stefan Banach in Lviv (Ukraine),September 17-21, 2012
28. International Conferences on hypercomplex analysis, April 2013 Constanta, Romania
29. Bogolubov reading DIF-2013. 23-30 .06. 2013 Sebastopol
30. 9 International ISSAC Congress 5-9.08.2013, Krakow
1. ÓÏ All-union topological conference, Minsk , 1977
2. Conference on analytic functions, Kozubnik, April, 18 - 26, 1979 Poland.
3. International conference on topology, Moscow, 25 - 29 ,06, 1979
4. International conferences on complex analysis Varna, 1981, 1985, 1987
5. International conference on topology, Leningrad, 1982
6. Colloquium on topology, Eger, Hungary, 1983
7. International conference on topology, Baku, 1987
8. 5-th conference on complex analysis, Halle, Germany, 1988
9. International conference on complex analysis and potential theory. Kyiv, 31.10-3.11, 2000, 7-12.08 . 2001, 29.6-5.7. 2011, 19-23.08. 2013
10. Ukrainian mathematical congress, Kyiv, 21-23.8.2001
11. International conference on complex analysis and potential theory, satellite to the international congress of mathematicians, Gebze, Turkey 8-14.09, 2006
12. 6-th international ISAAC congress, 13-18 august 2007.- Ankara
13. Bogolubov reading 2007 dedicated to Yu.A.Mitropolskii on occasion of his 90-th birthday, Zhytomyr-Kyiv 19.08-2.09, 2007
14. International conference ”Rimannian geometry and applications”, 8-11.6.2008 Brasov, Romania
15. International conference ”Complex analysis and related topics, 14-19.8.2008 Alba Iulia, Romania
16. XV International conference on analytic function and related topics, July 5-9,2009, 25-30.6, 2011,Chelm, Poland
17. Summer school on geometric function theory 2010 Istanbul
18. 8th International ISSAC Congress, 22-27.09.2011.- Moscow
19. Szósty symposium z neliniowej analizy.-Toruń, 7-9.09.2011, Polska
20. International seminar Hypercomplex analysis and related topics.- Bedlewo 2002, 2005, 2006, 2008-2013 Poland
21. Conference “Functional Methods in Approximation Theory and Operator Theory”,Svitiaz.- 22-26.8 .2009
22. Ukrainian mathematical congress, Kyiv, 27-29.8.2009
23. Crimean autumn mathematical schools, 2009, 2013
24. International Conferences "Geometric Methods in Complex Analysis" Bedlewo 8-13 May 2011, 2012 Poland
25. 6 European mathematical congress 2-7.07.2012, Krakow,
26. 7 International workshop „Analytical methods of analysis and differential equation” ÀÌÀDÅ 10-15 –09-2012, Minsk
27. International Conference dedicated to 120-th anniversary of Stefan Banach in Lviv (Ukraine),September 17-21, 2012
28. International Conferences on hypercomplex analysis, April 2013 Constanta, Romania
29. Bogolubov reading DIF-2013. 23-30 .06. 2013 Sebastopol
30. 9 International ISSAC Congress 5-9.08.2013, Krakow
Miscellaneous
Web pages
http://www.imath.kiev.ua/~complex/en/home.html
https://imath-kiev.academia.edu/YuriZelinski
http://www.imath.kiev.ua/~complex/sotrudniki/zelinskiy/zel_ua.html
https://scholar.google.com.ua/citations?user=5xb7RvoAAAAJ&hl=uk
https://www.zbmath.org/authors/?q=ai:zelinskyi.yuriy-borisovich
https://www.researchgate.net/profile/Yuriy_Zelinskyi
https://orcid.org/0000-0001-5648-0785
http://www.imath.kiev.ua/~complex/en/home.html
https://imath-kiev.academia.edu/YuriZelinski
http://www.imath.kiev.ua/~complex/sotrudniki/zelinskiy/zel_ua.html
https://scholar.google.com.ua/citations?user=5xb7RvoAAAAJ&hl=uk
https://www.zbmath.org/authors/?q=ai:zelinskyi.yuriy-borisovich
https://www.researchgate.net/profile/Yuriy_Zelinskyi
https://orcid.org/0000-0001-5648-0785