Research Interests

• Topological Semigroups
• Topological Semilattices
• Semigroups
• Semitopological Semigroups
• Partially Ordered Topological Spaces
• General Topology
• Semigroups of Monotone Transformations of POSets
• Semigroups of Continuous Selfmaps of Topological Spaces
• Quasitopological Groups
• Semigroups of Graph 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

PhD Thesis

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

Seminars

• Topology & Applications (Old Version) (New Version)
• Topological Algebra
• S-acts Theory and Spectral Spaces
• Puzyna Readings

Teaching Experience

• Lviv Fire and Technical College: Assistant of Professor, September 1995 - March 1996
• 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
• Ivan Franko National University of Lviv: Associate Professor of the Department of Mecahnics and Mathematicis, September 2003 - present.

Basic Courses

• Analytic Geometry.
• Differential Geometry.
• Differential Geometry and Topology.
• Foundations of Mathematics.
• Computational Algebra and Geometry.
• Discrete 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.
• Graph Algebras and Automata.
• Algereaic Theory of Codes and Automata.

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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).
• O. Gutik, Inverse Semigroups, (in Ukrainian) (in preparation).
• O. Gutik, Automata, Semigroups, Logic and Games: Applications of Infinite Words, (in Ukrainian) (in preparation).
• I. Guran, and O. Gutik, Foundations of the Theory of Topological Semigroups, (in Ukrainian) (in preparation).
• O. Gutik, Graph Algebras and Automata, (in Ukrainian) (in preparation).

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Professional Activity

• Member of the American Mathematical Society
• Rewiever of Mathematical Reviews
• Editorial Boards

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Contact Addresses

Faculty of Mechanics and Mathematics
Ivan Franko National University of Lviv
Universytetska 1, Lviv, 79000
UKRAINE
e-mail: oleg.gutik(at)lnu(pt)edu(pt)ua, ovgutik(at)yahoo(pt)com
Homepage: http://prima.lnu.edu.ua/faculty/mechmat/Departments/Topology/Gutik_mine.html
Ukrainian version: http://prima.lnu.edu.ua/faculty/mechmat/Departments/Topology/Gutik_mine_ukr.html

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| Research Interests | Curriculum Vitae | Education | Dissertation | Research Experience | Seminars | Publications | Teaching Experience | Advising | Lecture Notes and Textbooks | Professional Activity | Editorial Activity | Contact Addresses | Українська версія |

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Chair of Geometry and Topology: http://prima.lnu.edu.ua/faculty/mechmat/Departments/Topology/index.html

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Last update: April 03, 2021.
© Oleg Gutik