picture of Serhii hiking Serhii Bardyla


Family Name: Bardyla
Given Name: Serhii
Education: Ivan Franko National University of Lviv (2009-2014)
Curriculum Vitae: You can download my CV here
Master Thesis: "H-closed topological semilattices"
defended in 2014 under supervising of Oleg Gutik
Post-graduate studies: Ivan Franko National University of Lviv (2014-2017)
PhD Thesis: Completeness of topological semilattices and semigroups (in Ukrainian)
defended 14.09.2017 under supervising of Oleg Gutik
Employment: Junior researcher at the Department of Geometry and Topology, Ivan Franko National University of Lviv (2016-2018);
Assistant at the Department of Discrete Analysis and Intelligent System, Ivan Franko National University of Lviv (2017-2018);
Postdoctoral fellow at Kurt Gödel Research center, University of Vienna (2019-2020).
Papers:
  1. S. Bardyla, O. Gutik: "On H-complete topological semilattices", Matematychni Studii. 38 (2012), no.2. p. 118--123.
  2. S. Bardyla, O. Gutik: "On a semitopological polycyclic monoid",Algebra Discr. Math. 21 (2016), no.2, 163--183.
  3. S. Bardyla, O. Gutik: "On a complete topological inverse polycyclic monoid", Carpathian Math. Publ. 8 (2016) no.2. p. 183--194.
  4. S. Bardyla: "Classifying locally compact semitopological polycyclic monoids", Math. Bulletin of the Shevchenko Scientific Society. 13 (2016), p. 13--28.
  5. S. Bardyla, O. Gutik, O.Ravsky: "H-closed quasitopological groups", Topology Appl. 217 (2017), p. 51--58.
  6. S. Bardyla: "On semitopological $\alpha$-bicyclic monoid", Visn. L'viv. Univ., Ser. Mekh.-Mat. 81 (2017), p. 9--22.
  7. S. Bardyla: "On locally compact shift-continuous topologies on the $\alpha$-bicyclic monoid", Topological Algebra and its Applications. 6 (2018) no.1, p. 34--42.
  8. T. Banakh, S. Bardyla: "Completeness and absolute H-closedness of topological semilattices", Topology Appl. (submited), arXiv:1702.02791v1.
  9. T. Banakh, S. Bardyla: "Characterizing chain-compact and chain-finite topological semilattices", Semigroup Forum, 98(2) (2019), p. 234--250, DOI:10.1007/s00233-018-9921-x.
  10. S. Bardyla: "On a locally compact topological graph inverse semigroups", Topology Appl. (submited), arXiv:1706.08594.
  11. S. Bardyla: "On universal objects in the class of graph inverse semigroups", European Journal of Mathematics (published online), DOI: 10.1007/s40879-018-0300-7.
  12. S. Bardyla: "On a locally compact semitopological graph inverse semigroups", Matematychni Studii. 49 (2018), no.1, p. 19–28.
  13. T. Banakh, S. Bardyla: "The interplay between weak topologies on topological semilattices", Topology Appl. (published online), DOI: 10.1016/j.topol.2019.02.028.
  14. T. Banakh, S. Bardyla, A. Ravsky: "The closedness of complete subsemilattices in functionally Hausdorff semitopological semilattices", preprint, arXiv:1806.02868.
  15. T. Banakh, S. Bardyla: "On images of complete topologized subsemilattices in sequential semitopological semilattices", preprint, arXiv:1806.02864.
  16. T. Banakh, S. Bardyla: "Complete topologized posets and semilattices", preprint, arXiv:1806.02869.
  17. S. Bardyla: "An alternative look at the structure of graph inverse semigroups", preprint, arXiv:1806.09671.
  18. S. Bardyla: "Embeddings of graph inverse semigroups into compact-like topological semigroups", preprint, arXiv:1810.09169.
  19. T. Banakh, S. Bardyla, A. Ravsky: "A metrizable semitopological semilattice with non-closed partial order", preprint, arXiv:1902.08760.
  20. T. Banakh, S. Bardyla, I. Guran, O. Gutik, A. Ravsky: "Positive answers to Koch's problem in special cases", preprint, arXiv:1902.08895.
Participation in conferences:
  1. International conference dedicated to the 120th anniversary of Stefan Banach, Lviv, 2012.
    Abstract: S. Bardyla, O. Gutik: "An example of an H-complete topological semilattice which is not AH-complete", p.76.
  2. IX international algebraic conference of Ukraine, Lviv, 2013.
    Abstract: S. Bardyla, O. Gutik: "On H-complete topological semilattices", p.20.
  3. Workshop, Hradec Kralove, Czech Republic, 2014.
  4. Conference dedicated to the 100th of K.M.Fishman and M.K.Fage, Chernivtsy, 2015.
    Abstract: S. Bardyla, O. Gutik: "On a semitopological $\lambda$-polycyclic monoid", p.134-135.
  5. X summer school "Algebra, Topology and Analysis", Odesa, 2015.
    Abstract: S. Bardyla, O. Gutik, O. Ravsky: "H-closed quasitopological groups", p.67.
  6. The international conference "Geometry and topology in Odessa", Odesa, 2016.
    Abstract: S. Bardyla, O. Gutik, O. Ravsky: "H-closed quasitopological groups", p.13.
  7. 7-th European Congress of Mathemathics, Berlin, 2016.
    Abstract: S. Bardyla, O. Gutik, O. Ravsky: "H-closed quasitopological groups", p.379.
  8. XI summer school "Algebra, Topology and Analysis", Odesa, 2016.
    Abstract: S. Bardyla, O. Gutik: "The embeddings and closures of a topological $\lambda$-polycyclic monoid", p.34.
  9. The international conference dedicated to the 120-th anniversary of Kazimierz Kuratowski, Lviv, 2016.
    Abstract: S. Bardyla, O. Gutik: "The embeddings and closures of a topological $\lambda$-polycyclic monoid", p.9.
  10. Winter School in Abstract Analysis (Set Theory and Topology), Hejnice, Czech Republic, 2017.
    Abstract: S. Bardyla: "On the semitopological locally compact $\alpha$-bicyclic monoid".
  11. International scientific conference «Algebraic and geometric methods of analysis», Odesa, 2017.
    Abstract: S. Bardyla: "On a semitopological $\alpha$-bicyclic semigroup", p.45.
  12. XII summer school "Algebra, Topology and Analysis", Kolochava, 2017.
    Abstract: S. Bardyla: “Topological graph inverse semigroups”, p.58.
  13. International Conference in Functional Analysys dedicated to the 125th anniversary of Stefan Banach, Lviv, 2017.
    Abstract: S. Bardyla: “Topological graph inverse semigroups”, p.32.
  14. Winter School in Abstract Analysis (Analysis), Svratka, Czech Republic, 2018.
    Abstract: S. Bardyla: "On locally compact semitopological graph inverse semigroups".
  15. Winter School in Abstract Analysis (Set Theory and Topology), Hejnice, Czech Republic, 2018.
    Abstract: S. Bardyla: "On locally compact semitopological graph inverse semigroups".
  16. International scientific conference «Algebraic and geometric methods of analysis», Odesa, 2018.
    Abstract: S. Bardyla, H. Kvasnytsia: "Semitopological graph inverse semigroups", p.4.
  17. International scientific conference «Dynamical Methods in Algebra, Geometry and Topology», Udine, Italy, 2018.
    Abstract: T. Banakh, S. Bardyla: "On complete semitopological semilattices".
  18. The 13-th summer school ”Analysis, Topology and Applications”, Vyzhnytsya, 2018.
    Abstract: S. Bardyla: “Weak topologies on topologized semilattices”, p.8.
  19. Winter School in Abstract Analysis (Set Theory and Topology), Hejnice, Czech Republic, 2019.
    Abstract: S. Bardyla: "Dense and closed subsets of compact-like topological spaces".
e-mail: serhii.bardyla (at) univie.ac.at, sbardyla (at) yahoo.com
Scientific interests: General topology, topological algebra, set theory, topological inverse semigroups, topological semilattice, topological groups, abstract algebra, posets.