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, Klagenfurt, Austria,
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

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. Strong“ Problem 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

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,

38. Compatible functions
on distributive lattices

Summer School in
Algebra, Mala Moravka, Czech
Republic, September 2004 (talk)

39. When is
a full 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,

November 3, 2005

42. Birkhoffˇs duality extended to all posets II (lecture)

Seminar on General
Algebra and Its Applications,
Mathematics department,

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,

November 29, 2006

45. Compatible functions
on distributive lattices. The classification theorem (lecture)

Seminar on General
Algebra and Its Applications,
Mathematics department,

November 30, 2006

46. Canonical extensions
of Stone and double Stone algebras:
the natural way (talk)

73th Workshop on General Algebra, Klagenfurt, Austria

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, Darmstadt, Germany

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, **

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,

August 2-3, 2011

62. A fresh perspective on canonical extensions of bounded lattices (talk)te

29th Victorian
algebra conference,

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