Kosyak Oleksandr
Education
1972-1977 student, Kiev University, Ukraine
1977-1982 assistent Professor, Ukrainian Agricultural Academy
1982-1985 postgraduate student Institute of Mathematics of Ukrainian Academy of Sciences, Kiev, Ukraine
1985-2010 Scientific Researcher, Institute of Mathematics of Ukrainian Academy of Sciences, Kiev, Ukraine
2011-2011 Leading Scientific Researcher, Institute of Mathematics of Ukrainian Academy of Sciences, Kiev, Ukraine
1977-1982 assistent Professor, Ukrainian Agricultural Academy
1982-1985 postgraduate student Institute of Mathematics of Ukrainian Academy of Sciences, Kiev, Ukraine
1985-2010 Scientific Researcher, Institute of Mathematics of Ukrainian Academy of Sciences, Kiev, Ukraine
2011-2011 Leading Scientific Researcher, Institute of Mathematics of Ukrainian Academy of Sciences, Kiev, Ukraine
Dissertations
1985 Candidat of Phys. and Math. Sci., Kiev, Institute of Mathematics of Ukrainian Academy of Sciences, Ukraine
Subject: Garding domain and extension of unitary representations of infinite-dimensional groups
Date end place: 12/11/1985, Kiev, Institute of Mathematics
Supervisor: Yu.M.Berezanskii Opponents: R.S.Ismagilov, G.I.Ol'shanskii (Moscow)
2010, Doctor of Phys. and Math. Sci. (Habilitation), Kiev, Institute of Mathematics of Ukrainian Academy of Sciences, Ukraine
Subject: Regular, quasiregular and induced representations of
infinite-dimensional groups
Date end place: 15/06/2010, Kiev, Institute of Mathematics
Subject: Garding domain and extension of unitary representations of infinite-dimensional groups
Date end place: 12/11/1985, Kiev, Institute of Mathematics
Supervisor: Yu.M.Berezanskii Opponents: R.S.Ismagilov, G.I.Ol'shanskii (Moscow)
2010, Doctor of Phys. and Math. Sci. (Habilitation), Kiev, Institute of Mathematics of Ukrainian Academy of Sciences, Ukraine
Subject: Regular, quasiregular and induced representations of
infinite-dimensional groups
Date end place: 15/06/2010, Kiev, Institute of Mathematics
Research interests
Area of research :
Representation theory
Lie groups and Lie algebras
Braid groups and quantum groups
Dynamical systems
Quasi-invariant mesures
Functional analysis
Operator algebras
Themes of actuel research:
Representation theory of infinite-dimensional Lie groups and Lie algebras, braid groups and quantum groups
Group action, dynamical systems and quasi-invariantes mesures on infinite-dimensional groups
Orbit method for infinite-dimensional groups
Construction of new examples of factors and $C^*$-algebras
using representation theory of infinite-dimensional groups
Representation theory
Lie groups and Lie algebras
Braid groups and quantum groups
Dynamical systems
Quasi-invariant mesures
Functional analysis
Operator algebras
Themes of actuel research:
Representation theory of infinite-dimensional Lie groups and Lie algebras, braid groups and quantum groups
Group action, dynamical systems and quasi-invariantes mesures on infinite-dimensional groups
Orbit method for infinite-dimensional groups
Construction of new examples of factors and $C^*$-algebras
using representation theory of infinite-dimensional groups
Experience
Grants in Germany:
2003-2006, 2006-2008, University Bonn, Institut f\"ur Angewandte Mathematik, Scientific cooperation in the frame of DFG project 436 UKR 113/72, 436 UKR 113/87.
Research grants of the Max-Planck-Institut f\"ur Mathematik, Bonn, Germany, 2006, 2008, 2009, 2010
International cooperation:
Coordinator (ukrainian) of the Germany-Ukrainian DFG project 436 UKR 113/72 (2003-2006).
Coordinator (ukrainian) of the Germany-Ukrainian DFG project 436 UKR 113/87 (2006-2008).
2003-2006, 2006-2008, University Bonn, Institut f\"ur Angewandte Mathematik, Scientific cooperation in the frame of DFG project 436 UKR 113/72, 436 UKR 113/87.
Research grants of the Max-Planck-Institut f\"ur Mathematik, Bonn, Germany, 2006, 2008, 2009, 2010
International cooperation:
Coordinator (ukrainian) of the Germany-Ukrainian DFG project 436 UKR 113/72 (2003-2006).
Coordinator (ukrainian) of the Germany-Ukrainian DFG project 436 UKR 113/87 (2006-2008).
Talks on conferences
Participation in conferences:
European School on Group Theory, Session 1991, C.I.R.M. - Luminy, 22 juillet - 2 ao\^ut, Marseille, 1991.
The 6th USSR - Japan Symposium on Probability Theory, Kiev, August 5 - 10, 1991.
2nd International Conf. on Algebra, Barnaul, Russia, August 23 - 27, 1991.
Alg\`ebres d'Op\'erateurs 92, Orl\'eans, 1 - 4 juillet, 1992.
Premier Congr\`es Europ\'een de Math\'ematiques, Paris, 6 - 10 juillet, 1992.
Analyse sur les groupes et alg\`ebras de Lie de dimension infinie, C.I.R.M.-Luminy, 15-19 septembre, Marseille, 1997.
International Congress of Mathematicians, August 18-27, 1998, Berlin, Germany.
International Conference "Stochastic Analysis and its Applications", 10-17 June, 2001, Lviv, Ukraine.
International Conference on Functional Analysis. August 22-26, 2001, Kyiv, Ukraine.
International Conference "Infinite-Dimensional Analysis", Octobre 8-12, 2001, Marseille, France. \vskip 0.1cm International conference "Algebraic and Topological Dynamics", Max Plank Institute, Juin - July 2004, Bonn, Germany.
International conference "Spectral and evolutionary problems", September 16-30, 2005, Sevastopol', Ukraine.
Mathematische Arbeitstagung 2007, June 22-28, Bonn, Germany, http://www.mpim-bonn.mpg.de/Events/This+Year+and+Prospect/AT2007/.
Tresses, noeuds et applications, Montpellier, 9-11 juin 2008, http://www.math.univ-montp2.fr/~virelizier/AnnonceTresses08.html.
Workshop on Infinite-Dimensional Lie Groups and Related Functional Analysis, University of Paderborn, Germany, November 6-8, 2008, http://www2.math.uni-paderborn.de/index.php?id=7670 .
Swiss Knot Theory Conference 2009, University of Fribourg 19 - 21 March, 2009,
http://commonweb.unifr.ch/math/events/SwissKnots2009/
International conference "Spectral and evolutionary problems", September 17-30, 2009, Sevastopol', Ukraine.
European School on Group Theory, Session 1991, C.I.R.M. - Luminy, 22 juillet - 2 ao\^ut, Marseille, 1991.
The 6th USSR - Japan Symposium on Probability Theory, Kiev, August 5 - 10, 1991.
2nd International Conf. on Algebra, Barnaul, Russia, August 23 - 27, 1991.
Alg\`ebres d'Op\'erateurs 92, Orl\'eans, 1 - 4 juillet, 1992.
Premier Congr\`es Europ\'een de Math\'ematiques, Paris, 6 - 10 juillet, 1992.
Analyse sur les groupes et alg\`ebras de Lie de dimension infinie, C.I.R.M.-Luminy, 15-19 septembre, Marseille, 1997.
International Congress of Mathematicians, August 18-27, 1998, Berlin, Germany.
International Conference "Stochastic Analysis and its Applications", 10-17 June, 2001, Lviv, Ukraine.
International Conference on Functional Analysis. August 22-26, 2001, Kyiv, Ukraine.
International Conference "Infinite-Dimensional Analysis", Octobre 8-12, 2001, Marseille, France. \vskip 0.1cm International conference "Algebraic and Topological Dynamics", Max Plank Institute, Juin - July 2004, Bonn, Germany.
International conference "Spectral and evolutionary problems", September 16-30, 2005, Sevastopol', Ukraine.
Mathematische Arbeitstagung 2007, June 22-28, Bonn, Germany, http://www.mpim-bonn.mpg.de/Events/This+Year+and+Prospect/AT2007/.
Tresses, noeuds et applications, Montpellier, 9-11 juin 2008, http://www.math.univ-montp2.fr/~virelizier/AnnonceTresses08.html.
Workshop on Infinite-Dimensional Lie Groups and Related Functional Analysis, University of Paderborn, Germany, November 6-8, 2008, http://www2.math.uni-paderborn.de/index.php?id=7670 .
Swiss Knot Theory Conference 2009, University of Fribourg 19 - 21 March, 2009,
http://commonweb.unifr.ch/math/events/SwissKnots2009/
International conference "Spectral and evolutionary problems", September 17-30, 2009, Sevastopol', Ukraine.