# Talks

### Conference talks

On the cardinalities of lattices of clonoids

[slides]

105th Workshop on General Algebra (AAA105), Prague, Czech Republic, 31 May – 2 June 2024.On clonoids of Boolean functions

(**keynote speaker**) [slides]

17th International Conference of Young Algebraists in Thailand (ICYAT2024), Rajamangala University of Technology Isan, Khon Kaen, Thailand, 21–23 Mar. 2024Permutation groups and permutation patterns

UAE Math Day 2024, New York University Abu Dhabi, United Arab Emirates, 2 Mar. 2024On clonoids of Boolean functions

(**invited plenary lecture**) [slides]

104th Workshop on General Algebra (AAA104), Blagoevgrad, Bulgaria, 8–11 Feb. 2024Near-unanimity-closed minions of Boolean functions

[slides]

103rd Workshop on General Algebra (AAA103), Tartu, Estonia, 9–11 June 2023Associative spectra of graph algebras

(**keynote speaker**) [slides]

16th International Conference of Young Algebraists in Thailand (16th ICYAT-MJU), Maejo University, Chiang Mai, Thailand, 24–25 Mar. 2023Reconstructing Young tableaux

Encontro Nacional da Sociedade Portuguesa de Matemática (ENSPM 2022), Tomar, Portugal, 18–20 July 2022On clonoids of Boolean functions

102nd Workshop on General Algebra (AAA102), Szeged, Hungary, 24–26 June 2022Reflections and powers of multisorted minions

Honorary colloquium on the occasion of Reinhard Pöschel’s 75th birthday, Dresden, Germany, 9 June 2022Associative spectra of groupoids

Finnish Mathematical Days 2022, Tampere, Finland (online), 4–5 Jan. 2022Permutation groups and permutation patterns

Permutation Patterns 2021 Virtual Workshop (PP2021), University of Strathclyde, Glasgow, United Kingdom (online), 15–16 June 2021On clonoids of Boolean functions

100th Workshop on General Algebra (AAA100), Kraków, Poland (online), 5–7 Feb. 2021Linearly definable classes of Boolean functions

Algebras, Graphs and Ordered Sets (ALGOS 2020), Nancy, France (online), 26–28 Aug. 2020Associative spectra of graph algebras

99th Workshop on General Algebra (AAA99), Siena, Italy, 21–23 Feb. 2020Associative spectra of graph algebras

97th Workshop on General Algebra (AAA97), Vienna, Austria, 1–3 Mar. 2019Functions with a unique identification minor

96th Workshop on General Algebra (AAA96), Darmstadt, Germany, 1–3 June 2018Minors of multisorted functions and reflections

95th Workshop on General Algebra (AAA95), Bratislava, Slovakia, 9–11 Feb. 2018Reflection-closed varieties of multisorted algebras and minor identities II

94th Workshop on General Algebra (AAA94) and 5th Novi Sad Algebraic Conference (NSAC 2017), Novi Sad, Serbia, 15–18 June 2017Patterns and minors of permutations

93rd Workshop on General Algebra (AAA93), Bern, Switzerland, 10–12 Feb. 2017Permutation classes closed under pattern involvement and composition

54th Summer School on General Algebra and Ordered Sets (SSAOS 2016), Trojanovice, Czech Republic, 3–9 Sept. 2016Permutation classes closed under pattern involvement and composition

92nd Workshop on General Algebra (AAA92), Prague, Czech Republic, 27–29 May 2016Reconstructing functions and unique identification minors

91st Workshop on General Algebra (AAA91), Brno, Czech Republic, 5–7 Feb. 2016Reconstructing functions from identification minors

Finnish Mathematical Days 2016, Turku, Finland, 7–8 Jan. 2016Order of first occurrence and minors of functions

Colloquium on Combinatorics (KolKom 2015), Ilmenau, Germany, 6–7 Nov. 2015Finite characterizability of equational classes of threshold functions

Algebra Workshop 2014 — 34 years of CAUL, Lisbon, Portugal, 19–21 Nov. 2014Reconstructing functions from identification minors

Workshop on Computational Algebra 2014, Lisbon, Portugal, 21–23 July 2014Finite characterizability of equational classes of threshold functions

Algebras & Clones fest, Prague, Czech Republic, 30 June – 3 July 2014Associativity, preassociativity, and string functions

88th Workshop on General Algebra (AAA88), Warsaw, Poland, 19–22 June 2014Reconstructing functions from identification minors

4th Novi Sad Algebraic Conference (NSAC 2013), Novi Sad, Serbia, 5–9 June 2013Reconstructing functions from identification minors

86th Workshop on General Algebra (AAA86), Olomouc, Czech Republic, 30 May – 2 June 2013Reconstructing functions of several arguments from identification minors

Colloquium on Combinatorics (KolKom 2012), Berlin, Germany, 16–17 Nov. 2012Generalized entropy in algebras with neutral element and in inverse semigroups

84th Workshop on General Algebra (AAA84), Dresden, Germany, 8–10 June 2012The arity gap, or on the effect of identification of arguments on the essential arity of functions

1st Joint Conference of the Belgian, Royal Spanish and Luxembourg Mathematical Societies (BSL-2012), Liège, Belgium, 6–8 June 2012Gap vs. pag

IEEE 42nd International Symposium on Multiple-Valued Logic (ISMVL 2012), Victoria, BC, Canada, 14–16 May 2012Generalized entropy in algebras with neutral element and in inverse semigroups

83rd Workshop on General Algebra (AAA83), Novi Sad, Serbia, 15–18 Mar. 2012The arity gap, or on the effect of variable identification on the essential arity of functions

Finnish Mathematical Days 2012, Lappeenranta, Finland, 4–5 Jan. 2012Partial orders and equivalences induced by clones, especially by Post’s classes

Second International Conference on Order, Algebra, and Logics (OAL2.0), Kraków, Poland, 6–10 June 2011A survey on the arity gap

IEEE 41st International Symposium on Multiple-Valued Logic (ISMVL 2011), Tuusula, Finland, 23–25 May 2011Partial orders induced by the clones of Boolean clique functions and hypergraph homomorphisms

Colloquium on Graph Theory & Applications, Luxembourg, Luxembourg, 25 Mar. 2011Embeddability of countable posets with finite principal ideals into partial orders induced by clones

81st Workshop on General Algebra (AAA81), Salzburg, Austria, 3–6 Feb. 2011Commuting polynomial functions over distributive lattices

Summer School on General Algebra and Ordered Sets (SSAOS 2010), Malenovice, Czech Republic, 4–10 Sept. 2010Commuting polynomial functions over distributive lattices

13th International Conference on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2010), Dortmund, Germany, 28 June – 2 July 2010Commuting polynomial functions over distributive lattices

International Conference on Algebras and Lattices (Jardafest

), Prague, Czech Republic, 21–25 June 2010Self-commuting lattice polynomial functions

BLAST 2010, Boulder, CO, USA, 2–6 June 2010Classes of operations closed under permutation, cylindrification and composition

40th International Symposium on Multiple-Valued Logic (ISMVL 2010), Barcelona, Spain, 26–28 May 2010Galois theories for function algebras

Finnish Mathematical Days 2010, Jyväskylä, Finland, 4–5 Jan. 2010Clones of Boolean clique functions and hypergraph homomorphisms

3rd Novi Sad Algebraic Conference (NSAC 2009), Novi Sad, Serbia, 17–21 Aug. 2009Reducts of Malʹcev’s iterative algebra and preservation of generalized relations

78th Conference on General Algebra (AAA78), Bern, Switzerland, 11–14 June 2009On the finite index property of clones

77th Workshop on General Algebra (AAA77) & 24th Conference for Young Algebraists, Potsdam, Germany, 20–22 Mar. 2009The arity gap and generalizations of Świerczkowski’s lemma

Summer School on General Algebra and Ordered Sets (SSAOS 2008), Třešť, Czech Republic, 31 Aug. – 6 Sept. 2008The arity gap of finite functions and generalizations of Świerczkowski’s lemma

BLAST, Denver, CO, USA, 6–10 Aug. 2008On the arity gap of finite functions: results and applications

International Conference on Relations, Orders and Graphs: Interaction with Computer Science (ROGICS ’08), Mahdia, Tunisia, 12–17 May 2008Operations on finite sets, functional composition, and ordered sets

Finnish Mathematical Days 2008, Espoo, Finland, 3–4 Jan. 2008Equivalence of operations with respect to discriminator clones

74th Workshop on General Algebra (AAA74), Tampere, Finland, 7–10 June 2007On homomorphisms of labeled posets

73rd Workshop on General Algebra (AAA73) & 22nd Conference of Young Algebraists (CYA22), Klagenfurt, Austria, 1–4 Feb. 2007Subfunctions and Burle’s clones

WorkshopAlgebra and its applications,

Kokõ, Estonia, 5–7 May 2006Subfunction relations defined by the clones of monotone functions on a finite set

Finnish Mathematical Days 2006 & 2nd Finnish-Estonian Mathematical Colloquium, Tampere, Finland, 4–5 Jan. 2006Compositions of Boolean functions with monotone functions

Novi Sad Algebraic Conference (NSAC ’05), Novi Sad, Serbia and Montenegro, 11–15 July 2005Hypergraph homomorphisms and compositions of Boolean functions with clique functions

Conference on Universal Algebra and Lattice Theory, Szeged, Hungary, 4–8 July 2005On subfunctions of Boolean functions

70th Workshop on General Algebra (AAA70), Vienna, Austria, 26–29 May 2005On compositions of clones of Boolean functions

International Conference of Computational Methods in Sciences and Engineering 2004 (ICCMSE 2004), Vouliagmeni, Attica, Greece, 19–23 Nov. 2004

### Seminar talks

On clonoids, especially those of Boolean functions

Institute of Algebra, Dresden University of Technology, Germany, 7 June 2024The associative spectrum of a binary operation

[slides]

Department of Mathematical Sciences, United Arab Emirates University, Al Ain, United Arab Emirates, 17 Nov. 2023On clonoids of Boolean functions

[slides]

Panglobal Algebra and Logic Seminar (PALS), Department of Mathematics, University of Colorado at Boulder, USA (online), 17 Oct. 2023Associative spectra of graph algebras

Department of Mathematics and Statistics, American University of Sharjah, United Arab Emirates, 23 Nov. 2022Associative spectra of graph algebras

Seminar on Semigroups, Automata and Languages, Centre of Mathematics, University of Porto, Portugal (online), 11 Nov. 2022Associative spectra of graph algebras

Mathematics and Applications Colloquium, Mathematics Department, Khalifa University, Abu Dhabi, United Arab Emirates, 15 Sept. 2022On clonoids of Boolean functions

Institute for Algebra, Johannes Kepler University Linz, Austria, 31 Mar. 2022On clonoids of Boolean functions

Faculty of Information Technology and Communication Sciences, Tampere University, Finland (online), 14 Jan. 2022On clonoids of Boolean functions

MALOTEC Seminar, Loria (Laboratoire lorrain de recherche en informatique et ses applications), Vandœuvre-lès-Nancy, France (online), 16 Dec. 2021On clonoids of Boolean functions

Faculty of Science and Technology, Universidade Nova de Lisboa, Portugal (online), 29 Nov. 2021On clonoids of Boolean functions

Computer and Systems Laboratory (LIS), Aix-Marseille University, Marseille, France (online), 22 Nov. 2021On clonoids of Boolean functions

[slides]

Department of Mathematics, University of Lisbon, Portugal (online), 16 Nov. 2021Permutation groups and permutation patterns

[slides]

Institute of Mathematics and Informatics, Bulgarian Academy of Science, Sofia, Bulgaria (online), 5 Nov. 2021Associative spectra of graph algebras

MALOTEC Seminar, Loria (Laboratoire lorrain de recherche en informatique et ses applications), Vandœuvre-lès-Nancy, France (online), 6 May 2021Associative spectra of graph algebras

New York Combinatorics Seminar, The Graduate Center, City University of New York, USA (online), 12 Mar. 2021Associative spectra of graph algebras

Panglobal Algebra and Logic Seminar (PALS), Department of Mathematics, University of Colorado at Boulder, USA (online), 17 Nov. 2020Associative spectra of graph algebras

Faculty of Science and Technology, Universidade Nova de Lisboa, Portugal, 9 Mar. 2020Permutation groups and permutation patterns

Faculty of Science and Technology, Universidade Nova de Lisboa, Portugal, 4 Nov. 2019Permutation groups and permutation patterns

Faculty of Information Technology and Communication Sciences, Tampere University, Finland, 27 Sept. 2019Permutation groups and permutation patterns

Department of Mathematics and Statistics, University of Turku, Finland, 26 Sept. 2019Permutation groups and permutation patterns

Mathematics Research Unit, University of Luxembourg, Luxembourg, 26 Aug. 2019Associative spectra of graph algebras

Institute of Mathematics, University of Debrecen, Hungary, 25 Apr. 2019Graph algebras and graph varieties

Institute of Algebra, Dresden University of Technology, Germany, 19 Oct. 2018Graph algebras and graph varieties

Bolyai Institute, University of Szeged, Hungary, 26 Sept. 2018Reflection-closed varieties of multisorted algebras and minor identities

Institute of Mathematics, University of Potsdam, Germany, 28 May 2018Reflection-closed varieties of multisorted algebras and minor identities

Institute of Algebra, Dresden University of Technology, Germany, 9 June 2017Permutation patterns, permutation groups, and invariance groups of functions

Institute of Mathematics, University of Wrocław, Poland, 7 June 2017Reconstructibility of functions and minors of permutations

Bolyai Institute, University of Szeged, Hungary, 8 Mar. 2017Majors of functions

Institute of Algebra, Dresden University of Technology, Germany, 27 Jan. 2017Minors of functions and permutations, reconstruction problems, and the order of first occurrence

Institute of Algebra, Dresden University of Technology, Germany, 14 Oct. 2016Permutation groups, pattern involvement, and Galois connections

Institute of Mathematics, University of Potsdam, Germany, 12 May 2016Permutation groups, pattern involvement, and Galois connections

Institute of Discrete Mathematics and Algebra, Technische Universität Bergakademie Freiberg, Germany, 10 May 2016Permutation groups, pattern involvement, and Galois connections

Institute of Algebra, Dresden University of Technology, Germany, 15 Apr. 2016On permutation groups and permutation pattern classes

Bolyai Institute, University of Szeged, Hungary, 10 Feb. 2016On permutation groups and permutation pattern classes

Institute of Algebra, Dresden University of Technology, Germany, 18 Dec. 2015On the reconstructibility of functions from identification minors

Institute of Algebra, Dresden University of Technology, Germany, 22 May 2015Homomorphisms of labeled posets

Loria (Laboratoire lorrain de recherche en informatique et ses applications), Vandœuvre-lès-Nancy, France, 5 May 2015Reconstructing functions from identification minors

School of Information Sciences, University of Tampere, Finland, 9 Jan. 2015Reconstructing functions from identification minors

Centre of Mathematics, University of Porto, Portugal, 12 June 2014Reconstructing functions of several arguments from identification minors

Institute for Interdisciplinary Research, University of Lisbon, Portugal, 16 Dec. 2013Recent advances in the reconstruction problem for functions and identification minors

Mathematics Research Unit, University of Luxembourg, Luxembourg, 17 Apr. 2013Commuting polynomial operations of distributive lattices

Mathematics Research Unit, University of Luxembourg, Luxembourg, 22 Nov. 2012Reconstructing functions of several arguments from identification minors

Mathematics Research Unit, University of Luxembourg, Luxembourg, 18 Oct. 2012Reconstruction problem for functions and identification minors

Faculty of Mathematics and Information Sciences, Warsaw University of Technology, Poland, 12 June 2012Generalized entropy in inverse semigroups and in algebras with neutral element

Bolyai Institute, University of Szeged, Hungary, 29 Feb. 2012Commuting polynomial operations of distributive lattices

Mathematics and Statistics, School of Information Sciences, University of Tampere, Finland, 9 Sept. 2011Commuting polynomial operations of distributive lattices

Department of Algebra, Johannes Kepler University Linz, Austria, 16 Aug. 2011Commuting polynomial operations of distributive lattices

Institute of Mathematics, University of Miskolc, Hungary, 12 Aug. 2011Commuting polynomial operations of distributive lattices

Department of Mathematics and Informatics, University of Novi Sad, Serbia, 27 June 2011Commuting polynomial operations of distributive lattices

Institute of Mathematics, University of Rostock, Germany, 20 Apr. 2011Commuting polynomial operations of distributive lattices

Faculty of Mathematics and Information Sciences, Warsaw University of Technology, Poland, 1 Mar. 2011Partial orders and equivalences induced by clones

Bolyai Institute, University of Szeged, Hungary, 1 Dec. 2010Partial orders and equivalences induced by clones

Institute of Algebra, Dresden University of Technology, Germany, 14 Sept. 2010How does identification of arguments affect the number of essential arguments of functions?

Computer Science and Communication Research Unit, University of Luxembourg, Luxembourg, 17 June 2010How does identification of variables affect the number of essential variables of functions?

Department of Algebra, Johannes Kepler University Linz, Austria, 19 May 2010Reducts of Malʹcev’s iterative algebra and generalizations of relations

Department of Mathematics, University of Luxembourg, Luxembourg, 12 May 2009Reducts of Malʹcev’s iterative algebras and generalizations of relations

Department of Mathematics, State University of New York at New Paltz, USA, 8 Dec. 2008A brief introduction to clone theory

Department of Mathematics and Engineering, Harold Washington College, Chicago, IL, USA, 4 Dec. 2008Reducts of Malʹcev’s iterative algebra and generalizations of relations

Department of Mathematics & Statistics, McMaster University, Hamilton, Canada, 21 Oct. 2008*C*-minors of operations and the arity gap

Department of Mathematics, Brock University, St. Catharines, Canada, 24 Oct. 2007Subfunction relations defined by function classes

Department of Combinatorics and Optimization, University of Waterloo, Canada, 12 July 2006Composition of Post classes and normal forms of Boolean functions

RUTCOR — Rutgers Center for Operations Research, Piscataway, NJ, USA, 1 June 2006Compositions of

*k*-valued logic functions with monotone functions

Institute of Mathematics, Tampere University of Technology, Finland, 16 Mar. 2006Subfunction relations defined by function classes

Department of Mathematics, University of Helsinki, Finland, 21 Oct. 2005Subfunction relations defined by function classes

Institute of Mathematics, Tampere University of Technology, Finland, 15 Sept. 2005*C*-subfunctions of Boolean functions

Institute of Mathematics, University of Miskolc, Hungary, 23 May 2005Composition algebra of Boolean functions, functions of several variables, and function classes

Institute of Mathematics, Tampere University of Technology, Finland, 2 Dec. 2004