CURRICULUM VITAE
FAMILY NAME: Igor
FIRST NAME: Vlasenko
DEGREE: Ph.D. in Mathematics (2002)
BIRTHDATE: April 18, 1975
CITIZENSHIP: Ukrainian
ADDRESS: Institute of Mathematics
of the National Academy
of Sciences of Ukraine,
3 Tereshchenkivska Street,
01601 Kyiv-4, UKRAINE
Phone: +38 044 5407565
Fax: +38 044 2352010
Electronic Mail: vlasenko@imath.kiev.ua
LANGUAGES: Russian (native speaker)
Ukrainian (native speaker)
English (good)
EDUCATION
a) Undergraduate and graduate studies
Institution: Kiev State University,
Faculty of Mathematics and Mechanics, (1992--1997)
Degree: Master of Sciences in Mathematics (1997)
Field of Study: Mathematics
Thesis: "Topological structure of Morse-Smale diffeomorphisms"
(Diploma with Honor)
Thesis advisor: Prof. V. Sharko
b) Postgraduate study
Institution: Institute of Mathematics of the National Academy of
Sciences of Ukraine, Department of Topology
(1997--2001)
Degree: Ph.D. in Mathematics (2002)
Field of Research: two-three sentences
Thesis: "Morse-Smale dynamical systems with discrete time on surfaces"
Supervisor: Prof. V. Sharko
ACADEMIC HONORS
Postgraduate Studentship, Institute of Mathematics of the National Academy of Sciences of Ukraine (1997--2001)
M.Sc.--Diploma with Honor, Kiev State University (1997)
Additional stipend for excellent students, Kiev State University (1992--1997)
Stipend of National Academy of Science of Ukraine (2002--2004)
President of Ukraine Prize for Junior Scientists (2003)
RESEARCH POSITIONS
2001 to 2002
Junior Research Associate at the Department of Topology of Institute of Mathematics of the National Academy of Sciences of Ukraine.
2002 to 2005
Research Associate at the Department of Topology of Institute of Mathematics of the National Academy of Sciences of Ukraine.
2006 to present
Advanced Research Associate at the Department of Topology of Institute of Mathematics of the National Academy of Sciences of Ukraine.
PRINCIPAL RESULTS (1997--2002)
It is proved that the complete topological invariant of Morse-Smale dynamical systems on 2-manifolds is finite. The necessary and sufficient conditions for the topological conjugacy of Morse-Smale dynamical systems on 2-manifolds are obtained.
SCIENTIFIC INTERESTS
Smooth Topology, Hyperbolic Dynamics and Holomprphic Dynamics on Low-dimentional manifolds. The current topic is Holomprphic Attractors on complex 2-manifolds.
PUBLICATIONS
a) Books
1. Vlasenko I., Maksimenko S., Polulyah E.
Topological methods in studying of groups of mappings of manifolds.
//Mathematics and its applications. Proceedings of Inst. of Math. Vol. 61. Kiev. 2006. -363p. (In Russian).
b) Referred journal publications
1.Igor Vlasenko, On the complete invariant of Morse-Smale diffeomorphisms on 2-manifolds. Part I. // Proceedings of Inst. of Math. Vol. 25. Kiev. 1998. -P. 60-85. (In Russian)
2.Igor Vlasenko, On the complete invariant of Morse-Smale diffeomorphisms on 2-manifolds. Part II. // Proceedings of Inst. of Math. Vol. 25. Kiev. 1998. -P. 86-93. (In Russian)
3.Igor Vlasenko, On relations on the set of heteroclinic points of Morse-Smale diffeomorphisms on 2-manifolds. // Methods of Functional Analysis and Topology. Vol. 5, No. 3, 1999. --P. 90--96.
4.Igor Vlasenko, On the complete invariant of Morse-Smale diffeomorphisms on unoriented surfices. // Uspekhi Mat. Nauk, v. 54, No. 5 (329), 1999. --P. 155-156 (In Russian).
5.Igor Vlasenko, Numeric characteristics on tne set of geteroclinic points of Morse-Smale diffeomorphisms on surfaces. // Ukrainian Math. Journal, v. 52, No. 10, 2000. --P. 1412--1417
6.Igor Vlasenko, Topological properties of periodic components of A-diffeomorphisms. // Ukrainian Math. Journal, v. 54, No. 8, 2002. --P. 1131-1141. (In Russian)
7.Igor Vlasenko, Topological properties of periodic components of structurally stable diffeomorphisms. // Ukrainian Math. Journal, v. 54, No. 9, 2002. --P. 1190-1199. (In Russian)
8.Igor Vlasenko, An example of 2-dimentional attractor in 4-mainfold
based on expanding maps of tori. // Topology and geometry:
Proceedings of UMK-2001. ---Kiev: Inst. of Math., 2003. --P. 50--53.
9. I. Vlasenko, An example of irreversible Williams' solenoid. //
Matematychni Studii, v. 21, No. 1, 2004. --P. 105—108.
10. I. Vlasenko, S.Maksimenko. Roots from homeomorphisms and diffeomorphisms of manifolds. // --- Kiev, 2004. --- 64 p. --- (Preprint /NAN of Ukraine. Inst. Of mathematics; 2004.8)
11. I. Vlasenko. On the iteration stability of wandering set. //
Visnyk of Kiev University --- Mathematics. Mechanics. 2005. No. 14. -- P. 67.
12. E.~Polulyakh, I.~Vlasenko. On iteration stability of the Birkhoff
center against the power 2. // U. M. G., 2006,
vol. 58, No. 5. --P. 705--707.
13. E.~Polulyakh, I.~Vlasenko. An example of nonwandering set without
recurrent and limit points. //. Zbirnyk pratc of Inst. of Math.
Vol. 3, No. 3. Kiev. 2006. -- P 45--106. (In Russian).
c) Papers published in Conference Proceedings
Vlasenko I., On the topological classification of Morse-Smale diffeomorphisms on 2-manifolds // 6-th Kravchuk conference. Kiev, 1997. --P. 81. Proceedings of the International Conference. -- Kiev, 1997, p. 81.
Vlasenko I., On the topological classification of structurally stable
diffeomorphisms on 2-manifolds // Low-Dimensional Topology and Combinatorial Group Theory. Chelyabinsk, July, 31 - August 7, 1999: Proceedings of the International Conference. -- Kiev, 2000, pp. 319-324.
Vlasenko I., Strange attractors
in complex dynamics // Complex Analysis and its applications. Lviv,
May, 26 - 29, 2003: Proceedings of the International Conference. --
Lviv, 2003, pp. 19..
Vlasenko I., On roots and commutants of Morse-Smale
diffeomorphisms on surfaces. // Proceedings of 5-th Pogorelov
international conference on geometry and topology, Cherkasy. 2003
Vlasenko I., On roots from Morse-Smale diffeomorphisms on
surfaces. // Proceedings of international conference “Geometry
in Odessa – 2004. Differential Geometry and its applications”,
Odessa, 2004.
d) e-prints
I. Vlasenko, Complete invariant for two-dimensional Morse-Smale diffeomorphisms. e-Print, math.DS/9812063 ( 40 p.)
e) Papers submitted to referred journals
PARTICIPATION AT CONFERENCES
VI Pogorelov international conference on geometry and topology. Cherkasy 2005.
Summer School and Conference on Dynamical Systems. Abdus Salam International Centre for Theoretical Physics, Trieste, Italy. 18 July-6 August 2004
International conference 'Geometry in Odessa -- 2004. Differential Geometry and its applications', Odessa, 2004.
Workshop on dynamical systems. Warwick University, Coventry, 2003.
Complex Analysis and its applications. Lviv, May, 26 - 29, 2003.
V Pogorelov international conference on geometry and topology. Cherkasy 2003.
1st Ukrainian Mathematical Congress, Kiev, 2001.
Andronov Conference, Russia, N. Novgorod. 2001
3rd European Mathematical Congress, Barselona, 2000
Low-Dimensional Topology and Combinatorial Group Theory. Chelyabinsk, July, 31 - August 7, 1999
6-th Kravchuk conference, Kiev, 1997.