Given lectures and talks


1.  Congruence lattices of lattices
     VII. Universal Algebra Symposium, Przysiek, Poland, May 1990 (talk)

2.  Affine complete distributive p-algebras
     Symposium in Universal Algebra to the 80-th birthday of G. Birkhoff, Darmstadt,
     Germany, June 1991 (talk)

3.  On affine completeness of p-algebras
     Workshop on General Algebra, Vienna, Austria, June 1992 (talk)

4.  On splitness in the subvariety lattice of Brouwerian algebras
     Conference of Young Algebraists, Potsdam, Germany, May 1992 (talk)

5.  On affine completeness of Stone algebras
     Conference on Lattices, Ordered Sets and Universal Algebra, Szeged, Hungary, August 1993 (talk)

6.  Affine complete algebras
     Mathematical Institute, University of  Oxford, UK, November 1993 (lecture)

7.  Affine complete Stone algebras
     Mathematical Institute, University of  Oxford, UK, 1993 (seminar talk)

8.  Galois theory for Post algebras
     Mathematical Institute, University of  Oxford,  UK,1993 (seminar talk)

9.-11. Affine complete Stone algebras
     University of Glasgow, UK, May 1994 (lecture)
     Technical University, Vienna, Austria, June 1994 (lecture)
     Conference on Ordered Structures and Universal Algebra, Budapest, Hungary, June 1994 (talk)

12. Endoprimal distributive lattices are endodualisable
     Workshop on General Algebra, Linz, Austria, June 1994 (talk)

13.  Natural duality theory: The Entailment Problem
       International Congress of Mathematicians, Zurich, Switzerland, August 1994 (poster)

14.-15.  Extension of Birkhoff's duality to the class of all partially ordered sets
      Mathematical Institute, University of  Oxford,  UK, June1996 (seminar lecture)
      Conference in Universal Algebra, Szeged, Hungary, July 1996 (talk)

16. Affine completeness of Kleene algebras
      Technical University, Vienna, Austria, 1996 (lecture)

17.-20. Order-polynomially completeness of lattices
       ORDAL, Ottawa, Canada, August 1996 (talk)
       Summer School in Algebra, Liptovsky Jan, Slovakia, September 1996 (talk)
       Conference on Discrete Mathemtics in Banach Centre, Warszaw, Poland, October 1996 (talk)
       Janos Bolyai University Szeged, Hungary, January 1997 (lecture)

21.-23. Finitely generated free modular ortholattices
       Workshop on General Algebra, KlagenfurtAustria, June1997 (talk)
       Summer School in Algebra, Strbske Pleso, Slovakia, September 1997 (talk)
       Palacky University, Olomouc, Czech Republic, November 1997 (lecture)

24.  Endodualisable and endoprimal double Stone algebras
       Worshop on General Algebra, Olomouc, Czech Republic, June 1998 (talk)

25.  A criterion for a finite endoprimal algebra to be endodualisable
       Conference on Lattices and Universal Algebra, Szeged, Hungary, August 1998 (talk)

26. Order-polynomial completeness of lattices
      16 th Victorian Algebraic Conference, Melbourne, Australia, November 1998 (talk)

27. Finitely generated free modular ortholattices
      43 rd Annual Australian Mathematical Society Conference: Joint Meeting
      with the American Mathematical Society, Melbourne, Australia, July 1999 (talk)

28. Extension of Birkhoff's duality alternative to Priestley's duality
      17 th Victorian Algebraic Conference, Melbourne, Australia, July 1999 (talk)

29. On polynomial completeness of lattices and abstract representations of free
      modular ortholattices
      La Trobe University Mathematics Seminar, Melbourne, Australia, October 1999 (lecture)

30. A new method for strong dualitites
      First Southern African Summer School and Workshop on Logic, Universal
     Algebra and Theoretical Computer Science, Johannesburg, South Africa, December 1999 (talk)

31. An efficient transfer of strong dualitites
     
The Czech-Polish mathematical school, Ústí nad Labem, Czech Republic, June 2001 (talk)

32. The „Full vs. StrongProblem in duality theory
      Workshop on General Algebra, Linz, Austria, June 2001 (talk)

33. Standard topological quasi-varieties - examples and problems
      Conference on Universal Algebra and Lattice Theory, Szeged,
Hungary, July 2002 (talk)

34. Order-polynomial completeness of lattices and related problems 
      Lattices, Universal Algebra and Applications, Lisbon, Portugal, May 28-30, 2003 (invited plenary speaker)

35. Distributive lattices - compatible functions and affine completeness
      La Trobe University, Melbourne, Australia, Seminar on General Algebra and its Applications, December 2003 (lecture)

36. Compatible functions on distributive lattices - on a Problem of G. Gratzer
     Centro de Algebra da Universidade de Lisboa, Lisbon, Portugal, July 2004 (invited seminar
     lecture)

37. Order-polynomial completeness of lattices and related problems
       Institute for Advanced Study,
La Trobe University, Melbourne, Australia (lecture) 

38. Compatible functions on distributive lattices
    
Summer School in Algebra, Mala Moravka, Czech Republic, September 2004 (talk)

39. When isfull duality strong? (talk)
      Workshop on General Algebra, Technical University Vienna, Austria
      May 26 - 29, 2005

40. Congruence-preserving functions on distributive lattices (talk)
        Conference on Universal Algebra and Lattices, University of Szeged, Hungary
      July 3 – 8, 2005

41. Birkhoffˇs duality extended to all posets I (lecture)
        Seminar on General Algebra and Its Applications, Mathematics department, La Trobe University Melbourne, Australia 
      November 3, 2005

42. Birkhoffˇs duality extended to all posets II (lecture)
      Seminar on General Algebra and Its Applications, Mathematics department, La Trobe University Melbourne, Australia 
      November 8, 2005

43. Congruence-preserving functions on distributive lattices (talk)
      24th Victorian Algebra Conference, Daekin University, Melbourne, Australia, November 27 - 28, 2006

44. Compatible functions on distributive lattices. The extension theorem (lecture)
      Seminar on General Algebra and Its Applications, Mathematics department, La Trobe University Melbourne, Australia 
      November 29, 2006

45. Compatible functions on distributive lattices. The classification theorem (lecture)
      Seminar on General Algebra and Its Applications, Mathematics department, La Trobe University Melbourne, Australia 
      November 30, 2006

46. Canonical extensions of Stone and double Stone algebras: the natural way (talk)
      73th Workshop on General Algebra, KlagenfurtAustria
      February 1-4, 2007

47. Canonical extensions of Stone algebras: the natural way (plenary speaker)
     
International Conference on Order, Algebra and Logics, Nashville, USA
     June 12-16, 2007

48. Canonical extensions of distributive-lattice expansions (talk)
      51th Annual Meeting of Australian Mathematical Society, Melbourne, Australia 
      September 25-28, 2007

49. Studying full dualities via coloured ordered sets (talk)
      75th Workshop on General Algebra, DarmstadtGermany
      November 1-4, 2007

50. Full dualities and coloured ordered sets (invited seminar lecture)
      Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien
      June 17, 2008

51. Finite-level full dualities and coloured ordered sets (invited seminar lecture)
      Universidade de Lisboa, Lisbon, Portugal
      August 28, 2008

52. Fermat’s Last Theorem in romantic mathematics (talk)
      7th joint Australia-New Zealand Mathematics Convention, University of Canterbury, Christchurch, New Zealand
      December 7-12, 2008

53. The lattice of finite-level full dualities: combinatorial aspects (talk)
      The Fourth International Conference on Combinatorial Mathematics and Combinatorial Computing, University of Auckland,
      Auckland, New Zealand
      December 15-19, 2008

54.-58. Prvočísla a ich číselní príbuzní (in Slovak, talk)        

·         Gymnázium Andreja Kmeťa, Banská Štiavnica, October 27, 2009

·         Science and Research Institute, M. Bel University, November 3, 2009

·         41th Annual conference of Slovak mathematicians, Jasná, November 29, 2009

·         Faculty of Mathematics and Physics, Comenius University, Bratislava, December 7, 2009

·         Mathematical Colloquium, M Bel University, Banská Bystrica, December 15, 2009

59. Transferral of entailment in duality theory (talk)
      79th Workshop on General Algebra, Olomouc,  Czech Republic
      February 11-14, 2010

60. Full dualisability is independent of the generating algebra (talk)
     
The Second International Conference on Order, Algebra, and Logics, Jagiellonian University,
      Krakow, Poland
      June 6-10, 2011

 61. Full natural dualities (invited speaker)te
      
Workshop on Duality Theory, Mathematical Institute, University of  OxfordOxford, UK
       August 2-3, 2011

 

62.  fresh perspective on canonical extensions of bounded lattices (talk)te
      
29th Victorian algebra conference, La Trobe University, Melbourne, Australia
       December 1-2, 2011

63. Prvočísla a ich číselní príbuzní (in Slovak, talk)       
      Natural Sciences Colloquium, M Bel University, Banská Bystrica
      December 7, 2012

64. Canonical extensions of bounded lattices (invited seminar lecture)
      Mathematical Institute, Slovak Academy of Sciences, Bratislava
      January 17, 2013

65. Canonical extensions of lattices (plenary speaker)
      86th Workshop on General Algebra, Olomouc, Czech Republic,
      May 30-June 2, 2013

66. Canonical extensions of bounded lattices (plenary speaker)
      General Algebra and Its Applications (GAIA 2013), Melbourne, Australia
      July 15-19, 2013

67. A new construction of canonical extensions of lattices (invited seminar lecture)
      Centro de Algebra da Universidade de Lisboa, Lisbon, Portugal
      August 30, 2013

68. Canonical extensions of lattices - a new construction (invited seminar lecture
      Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien,
      Austria
      September 10, 2013

69. Full Natural Dualities I (invited seminar lecture)
      Olomouc Algebra Seminar, Palacki University Olomouc, Czech Republic
      April 8, 2014

70. Full Natural Dualities II (invited seminar lecture)
      Olomouc Algebra Seminar, Palacki University Olomouc, Czech Republic
      April 9, 2014

71. A new setting for duals of canonical extensions of bounded lattices (talk)     
      8th Australia-New Zealand Mathematics Convention (8ANZMC), Melbourne, Australia
      December 8-12, 2014
     
72. TiRS graphs and TiRS frames: a new setting for duals of canonical extensions (plenary speaker)
     
5th Algebra and Substructural Logics (5ASubL), Melbourne, Australia
      December 13-16, 2014

73.
Zväzové problémy: Od Dedekinda cez Kolibiara a Riečana k Shelahovi (in Slovak, talk)        
      Mathematical Colloquium, M Bel University, Banská Bystrica, Slovakia
      May 12, 2015

74. TiRS graphs and TiRS frames: a new setting for duals of canonical extensions of lattices (talk)
     
Topology, Algebra and Categories in Logic (TACL) 2015, Ischia, Italy
      June 21-26, 2015

75.
Prvočísla a ich číselní príbuzní (in Slovak, talk)       
      Olomouc Didactic Seminar, Palacki University Olomouc, Czech Republic
      April 25, 2016

76. A new setting for duals of canonical extensions of lattices (talk)
     
XXI Coloquio Latinoamericano de Álgebra, B. Aires, Argentina
      July 25-29, 2016

77. Infinite lattices, dualities of algebras and quantum logics (professorial inaugural lecture)
      Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava
      April 10, 2017

78. Canonical extensions of lattices and lattice duals (invited seminar lecture
      Institut für Diskrete Mathematik und Geometrie, Technische Universität Wien,
      Austria
      October 6, 2017

79. Eight-thousanders of Number Theory (talk
      Olomouc Didactic Seminar, Palacki University Olomouc, Czech Republic
      November 28, 2017

80. Canonical extensions of lattices are more than perfect (invited lecture)
      95 Arbeitstagung Allgemeine Algebra
, Faculty of Mathematics, Physics and Informatics, Comenius University, Bratislava
      February 9, 2018

81.-82. Osemtisícovky teórie čísel (talk in Slovak) 
      Faculty Open Day, M Bel University, Banská Bystrica, Slovakia
      November 7, 2018 and February 13, 2019