Research Interests

• Topological Semigroups
• Topological Semilattices
• Semigroups
• Semitopological Semigroups
• Partially Ordered Topological Spaces
• General Topology
• Semigroups of Transformations

Curriculum Vitae

• Birthdate: June 30, 1967
• Place of birth: Lviv, Ukraine
• Citizenship: Ukraine
• Military service: Soldier of the Soviet Army, June 1985-May 1987

Education

• Lviv Secondary School No.79 : September 1974 - June 1984
• Student of the Ivan Franko Lviv State University : September 1984 - June 1985
• Student of the Ivan Franko Lviv State University : May 1987 - June 1991
• Ph.D.Student of the Ivan Franko Lviv State University : December 1992 - November 1996

Dissertation

Title : Embeddings of Topological Inverse Semigroups and the Structure of their Bands with Restrictions on Translations.
Adviser : Igor Guran
Institution : Taras Shevchenko Kyiv National University

Research Experience

• Ukrainian Academy of Printing : Head of Laboratory, September 1991 - September 1995
• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine : Mathematician of the Department of Algebra, March 1996 - May 1997
• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine : Junior Researcher of the Department of Algebra, June 1997 - April 1999
• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine : Researcher of the Department of Algebra, April 1997 - November 2001
• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine : Senior Researcher of the Department of Algebra, December 2001 - August 2005
• Ivan Franko Lviv National University : Associate Professor of the Department of Mecahnics and Mathematics, September 2003 - present

Teaching Experience

• Lviv Fire and Technical College : Assistant of Professor, September 1995 - March 1996
• Ivan Franko Lviv National University : Associate Professor of the Department of Mecahnics and Mathematicis, September 2003 - present
• Pidstryhach Institute for Applied Problems of Mechanics and Mathematics of National Academy of Sciences of Ukraine : Adviser of Ph.D. Students, December 2003 - November 2006

Basic Courses

• Analytic Geometry.
• Differential Geometry.
• Differential Geometry and Topology.
• Foundations of Mathematics.

Special Courses

• Algebraic Theory of Semigroups.
• Theory of Topological Semigroups.
• Inverse Semigroups.
• Theory of Semitopological Semigroups.
• Partially Ordered Topological Spaces and Topological Semilattices.
• Foundations of the Theory of Ultrafilters.
• Boolean Algebras and Topologies of Ultrafilters.
• Topological Inverse Semigroups.
• Automata, Languages and Codes.
• Multivalued maps.
• Ordered Sets.

Lecture Notes and Textbooks

• I. I. Guran, and O. V. Gutik, Mathematics for Economists. For Students of Departments of International Relations. Lecture Notes. Znannya, Kyiv, 2008, 388 pp. (in Ukrainian)
• I. Guran, and O. Gutik, Analytic Geometry, (in Ukrainian) (in preparation).
• I. Guran, and O. Gutik, Foundations of the Theory of Topological Semigroups, (in Ukrainian) (in preparation).

Professional Activity

• Member of the Lviv Mathematical Society
• Member of the American Mathematical Society
• Rewiever of Zentralblatt fuer Mathematik
• Rewiever of Mathematical Reviews
• Vicehead of Library Council of the Department of Mechanics and Mathematics of Ivan Franko Lviv National University

Editorial Activity

• IV International Algebraic Conference in Ukraine. Lviv, August 4-9, 2003. Abstracts. Lviv (2003).
• International Conference "Geometric Topology: Infinite-Dimensional Topology, Absolute Extensors, Applications". Lviv, May 26-30, 2004. Abstracts. Lviv (2004).
• Second Summer School in Algebra and Topology. Dolyna, August 2-14, 2004. Programs of Invited Lectures and Abstracts of Research reports. Lviv-Dolyna (2004).
• Third Summer School in Algebra, Analysis and Topology. Kozyova, August 9-20, 2005. Invited Lectures and Abstracts of Research Reports. Lviv (2005).
• Fourth Summer School ''Algebra, Topology, Functional and Stochastic Analysis''. Kozyova, July 17–29, 2006. Invited Lectures and Abstracts of Research Reports. Lviv (2006).
• International Conference "Analysis and Topology". Lviv, June 2-7, 2008. Abstracts. Lviv (2008).
• International Conference on Functional Analysis Dedicated to 90th Anniversary of V. E. Lyantse. L'viv, Ukraine, November 17-21, 2010. Abstracts of Reports. Lviv (2010).

Contact Addresses

Department of Mechanics and Mathematics
Ivan Franko Lviv National University
1, Univesytetska Str., Lviv, 79000
UKRAINE
e-mail: o_gutik at franko.lviv.ua, ovgutik at yahoo.com
Phone: (+380-32) 239-42-18 (office), +38-067-477-42-64 (mobile)
Homepage: http://www.franko.lviv.ua/faculty/mechmat/Departments/Topology/Gutik_mine.html
Ukrainian version: http://www.franko.lviv.ua/faculty/mechmat/Departments/Topology/Gutik_mine_ukr.html