Igor Dolinka

Full Professor
Department of Mathematics and Informatics
Faculty of Sciences, University of Novi Sad
Trg Dositeja Obradovića 4, 21101 Novi Sad, Serbia
E-mail: dockie AT dmi.uns.ac.rs

Invited conference lectures

One-relator groups, monoids, inverse monoids: An update on the word problem.
Classical and Constructive Semigroups and Applications (ACaCS 2021), Niš, Serbia, September 2021.
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The prefix membership problem for one-relator groups, and its semigroup-theoretical cousins.
The eNBSAN Online Meeting 2020, June-July 2020 (hosted from Manchester and York, UK).
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The word problem for free idempotent generated semigroups: An Italian symphony in IG(E) major.
Semigroups and Groups, Automata, Logics (SandGAL 2019), Cremona, Italy, June 2019.
(The `Mendelssohn talk'. Here is the full performance I used.)
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Solving the word problem of the O'Hare monoid far, far away from sweet home Chicago.
Winter One-Relator Workshop - WOW 2018, Norwich, UK, January 2018.
(The `Dr. Joliet Jake Blues talk'.)
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Universal locally finite maximally homogeneous semigroups.
The 27th NBSAN Meeting (honouring the 70th birthday of László Márki), York, UK, January 2018.
(The `Sunset at King's Manor talk'.)
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Representing groups by endomorphisms of the random graph.

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Representing semigroups and groups by endomorphisms of Fraďssé limits (Parts I & II).
Permutation Groups and Transformation Semigroups, LMS - EPSRC Symposium, Durham, UK, July 2015.
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Variants of semigroups - the case study of finite full transformation monoids.
The 19th NBSAN Meeting, York, UK, January 2015.
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Free idempotent generated semigroups: maximal subgroups and the word problem.
The 17th NBSAN Meeting, Norwich, UK, April 2014.
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Free idempotent generated semigroups and their maximal subgroups.
General Algebra and Its Applications - GAIA 2013 (honouring the 65th birthday of Brian Davey),
Melbourne, Australia, July 2013.
(`Semigroups, Lattices, Algebras' - the conference song written and performed by Brian Davey.)
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Finite groups are big as semigroups.
The 13th NBSAN Meeting, York, UK, November 2012.
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Facets of the finite basis problem for finite involution semigroups.
The 80th Workshop on General Algebra - AAA80, Będlewo, Poland, June 2010.   
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Term operations of finite semigroups.
International Conference "Filomat 2001", Niš, Serbia, August 2001.

Invited seminar lectures

The word problem for one-relator inverse monoids: new developments.
Algebra Seminar,
Bolyai Institute, University of Szeged, Hungary, December 2019.
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Free idempotent generated semigroups: maximal subgroups and the word problem.
Mathematics Colloquium, Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, December 2016.
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Representing groups by endomorphisms of the random graph.
Pure Mathematics Research Seminar, School of Mathematics, University of East Anglia, Norwich, UK, June 2016.

Finite homomorphism-homogeneous permutations via edge colourings of chains.

  • Pure Mathematics Colloquia, School of Mathematics and Statistics, University of St Andrews, Scotland, UK,
    April 2014.

  • Mathematical Logic Seminar, Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, April 2012.

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The finite basis problem for unary matrix semigroups.

  • York Semigroup Seminar, University of York, UK, February 2014.

  • Algebra Seminar, School of Mathematics, University of Manchester, UK, November 2012.

  • Pure Mathematics Colloquia, School of Mathematics and Statistics, University of St Andrews, Scotland, UK, September 2012.

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Finite basis problems for finite semirings.
Mathematics Colloquium,
Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, April 2007.

Identities of two-dimensional languages.  
Foundations of Computer Science Seminar, Institute of Informatics, University of Szeged, Hungary, May 2006.
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Results on involution semigroups.
Algebra Seminar, Department of Mathematics, University of Niš, Serbia, April 2003.

Some problems on semigroups, groups, and rings.
Algebra Seminar, Department of Mathematics, University of Niš, Serbia, May 2002.

On the equational axiomatisation of algebras of formal languages.

  • Mathematical Logic Seminar, Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, June 2000.

  • Mathematics Colloquium, Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade, Serbia, May 2000.

On identities of Kleene algebras.

  • Algebra Seminar, Bolyai Institute, University of Szeged, Hungary, March 1999.

  • Algebra Seminar, Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences, Budapest, Hungary, March 1999.

On dynamic algebras.
Algebra Seminar, Bolyai Institute, University of Szeged, Hungary, March 1998.

Contributed conference talks

Free spectra of finite semigroups and the Seif Conjecture.
Semigroups and Applications 2012, Uppsala, Sweden, August 2012.
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(I)NFB results for finite unary semigroups.
The 3rd Novi Sad Algebraic Conference - NSAC 2009, Novi Sad, Serbia, August 2009.
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A nonfinitely based finite semiring.
The 2nd Novi Sad Algebraic Conference - NSAC 2005, Novi Sad, Serbia, July 2005.
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Some results on the lattice of varieties of involution semigroups.
Colloquium on Semigroups, Szeged, Hungary, July 2000.

Varieties of involution semigroups.
Workshop on Algebra (honouring the 65th birthday of Svetozar Milić), Novi Sad, Serbia,  September 1999.

Some results on the equational axiomatisation of Kleene algebras.  
Conference in Algebra (honouring the 70th birthday of Ervin Fried), Budapest, Hungary, August 1999.

On dynamic algebras.  
The 12th Conference on Applied Mathematics - PRIM 1997, Subotica, Serbia, September 1997.