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Kateryna Pavlyk


Family Name: Pavlyk
Given Name: Kateryna
Birthday: 24 January 1978
Education: Ivan Franko National University of L'viv (1994 - 1999)
Master Thesis: "The Evolution Equation"
defended in 1999 under supervising of O. Horbachuk
Post-graduate studies: Institute of Applied Problems of Mechanics and Mathematics NASU, L'viv (2003-2006)
Ph.D.Thesis:
Topological Semigroups of Matrix Units and Brandt λ-Extensions of Topological Semigroups
April, 2007, Ivan Franko National University of L'viv
under supervision of Prof. Oleg Gutik
Abstract
Employment: (2006 - present) Researcher, Institute of Applied Problems of Mechanics and Mathemactics NASU, L'viv
(2007 - 2009) Assistant Professor, Department of Mechanics and Mathematics, Ivan Franko National University of L’viv
(2000 – 2003) Teacher of Mathematics and Computer science, Secondary school of V. Grybovychi village, L’viv district
Professional Activity: Member of the Young Mathematicians Council, Institute of Applied Problems of Mechanics and Mathematics, L’viv
e-mail: kpavlyk@yahoo.co.uk
Basic courses: Analytic geometry, Higher mathematics, Teaching Technique of Mathematics and Pedagogic.
Scientific interests: General Algebra, General Topology, Topological Algebra, Linear Algebra, Set Theory
Coauthors: Oleg Gutik, Andrij Reiter, Tetyana Berezovski

Scientific works:



Scientific Papers:

  1. T. Berezovski, O. Gutik, K. Pavlyk, Brandt Extensions and Primitive Topological Inverse Semigroups, International Journal of Mathematics and Mathematical Sciences, Volume 2010, Article ID 671401, 13 pages.
  2. O.V. Gutik, K.P. Pavlyk, Bruck-Reilly extensions of semitopological semigroups, Appl. Problems of Mech. and Math., 7 (2009), 66-73.
  3. O. Gutik, K. Pavlyk, A. Reiter, Topological semigroups of matrix units and countably compact Brandt λ-extensions of topological semigroups, Mat.Stud., 32:2 (2009), 115-131.
  4. K. Pavlyk, Topological Brak-Reilly extensions of topological semigroups, Appl. Problems of Mech. and Math., 6 (2008), 38-47.
  5. O.V. Gutik, K.P. Pavlyk, On Brandt λ0-extensions of semigroups with zero, Math. Methods and Phys. Mech. Fields, 49:3 (2006), 26-40.
  6. O.V. Gutik, K.P. Pavlyk, Topological semigroups of matrix units, Algebra and Discrete Mathematics, 3 (2005), 1-17.
  7. O.V. Gutik, K.P. Pavlyk, On topological semigroups of matrix units, Semigroup Forum, 71 (2005), 389-400.
  8. K. Pavlyk, Absolutely H-closed topological semigroups and Brandt λ-extensions, Appl. Problems of Mech. and Math., 2 (2004), 61-68.
  9. O.V. Gutik, K.P. Pavlyk, Absolutely H-closed and topological Brandt λ-extensions of topological inverse semigroups, Visnyk L’viv Univ., Ser. Mech. Math., 61 (2003), 98-105.
  10. O.V. Gutik, K.P. Pavlyk, Embedding of topological semigroups, Math. Methods and Phys. Mech. Fields, 45:1 (2002), 90-96.
  11. O.V. Gutik, K.P. Pavlyk, H-closed topological semigroups and topological Brandt λ-extensions, Math. Methods and Phys. Mech. Fields, 44:3 (2001), 20-28.


Conference Reports:

  1. AAA80 Workshop on General Algebra , Bedlewo, Poland, June 1-6, 2010.
  2. Young Scientists Conference «Pidstryhach Readings – 2010», L'viv, May 25-26, 2010.
  3. The 14th general meeting of European women in mathematics, Novi Sad, Serbia, August 25-28, 2009.
  4. International Conference Infinite Dimensional Analysis And Topology, Ivano-Frankivsk, May 27-June 1, 2009.
  5. Conference of Young Scientists on Modern Problems in Mechanics and Mathematics, L’viv, Ukraine, May 25-27, 2009.
  6. International Conference "Analysis and Topology", L’viv, Ukraine, May 27 - June 7, 2008.
  7. International Conference „Modern Problems in Mechanics and Mathematics”, L’viv, Ukraine, May, 2008.
  8. V-th Summer School "Algebra, Topology and Analysis", L’viv-Kozyova, August 6-18, 2007.
  9. 6th International Algebraic Conference in Ukraine dedicated to the 100th anniversary of professor D. K. Faddeev, Kamyanets-Podilsky, July 1-7, 2007.
  10. III Sympozjum matematycznych i Informatycznych Kol Naukowych. Topologia. Invited speaker, Krakow, Poland, September, 2006.
  11. Summer School on General Algebra and Ordered Sets, Radejov, Czech Republic, September, 2006.
  12. Forth Summer School “Algebra, Topology, Functional and Stochastic Analysis”, L’viv-Kozyova, July 17-29, 2006.
  13. 5th International Algebraic Conference in Ukraine, Odessa, July 20-27, 2005.
  14. Third Summer School in Algebra, Analysis and Topology, L’viv-Kozyova, August 9-20, 2005.
  15. Conference of Young Scientists on Modern Problems in Mechanics and Mathematics, L’viv, Ukraine, May 24-27, 2005.
  16. Second Summer School in Algebra and Topology, L’viv-Dolyna, August 2-14, 2004.
  17. International Conference dedicated to the 125-th anniversary of Hans Hahn, Chernivtsi, June 27-July 3, 2004.
  18. International Conference "Geometric Topology: Infinite-Dimensional Topology, Absolute Extensors, Applications", L’viv, May 26-30, 2004.
  19. Conference of Young Scientists on Modern Problems in Mechanics and Mathematics, L’viv, Ukraine, May 24-26, 2004.
  20. IV International Algebraic Conference in Ukraine, L’viv, August 4-9, 2003.
  21. International Conference "Complex Analysis and its Applications", L’viv, May 26-29, 2003.
  22. IV International Scientific Conference ”Mathematical Problems of the Mechanics of Non-Homogeneous Structures”, L’viv, Ukraine, May 26-29, 2003.
  23. International Algebraic Conference dedicated to the memory of Z. I. Borevich, St. Petersburg, Russia, September, 2002.
  24. International Mathematical Conference honoring D. A. Grave's 100th year since the beginning of his work at Kyiv University, Kyiv, June 17-22, 2002.
  25. International Algebraic Conference, Uzhgorod, Ukraine, August 27-29, 2001.
  26. International Conference “Differential Equations and Non-linear Oscillations”, Chernivtsi, Ukraine, August 27-29, 2001.
  27. International Scientific and Technical Conference “Information of processes of formation of open systems on basis of DBMS, design computer-aided, …”, Vologda, Russia, June 26-28, 2001.
  28. Third International Algebraic Conference in Ukraine, Sumy, Ukraine, July 2-8, 2001.
  29. XVI Open Scientific and Technical Conference of Young Scientists and Specialists of the Karpenko Physico-Mechanical Institute of NASU, L’viv, May 16-18, 2001.

Last update: 03/09/2009