Publications


1. On the number of slim, semimodular lattices (with G. Czédli, T. Dékány, L. Ozsvárt, and B. Udvari), Math. Slovaca 66 (2016) 5-18, arXiv:1208.6173

2. Inverse monoids and immersions of 2-complexes (with J. Meakin), Internat. J. Algebra and Comput. 25 (2015) 301-323, arXiv:1401.2621

3. On the graph condition regarding the F-inverse cover problem, Semigroup Forum, 92 (2016) 551-558, arXiv:1501.06466

4. On F-inverse covers of finite-above inverse monoids (with M. Szendrei), J. Algebra, 452. (2016) 42-65, arXiv:1511.09378

5. Inverse monoids of partial graph automorphisms (with R. Jajcay, T. Jajcayova, and M. Szendrei), to appear in J. Algebraic Comb., arXiv:1809.04422


Preprints

Inverse monoids and immersions of cell complexes (with J. Meakin), submitted, arXiv:1709.03887

Algorithmic properties of inverse monoids with hyperbolic and tree-like Schützenberger graphs (with R. Gray and P. V. Silva), submitted, arXiv:1912.00950

Simplicity of inverse semigroup and étale groupoid algebras (with B. Steinberg), submitted, arXiv:2006.13787

On the simplicity of Nekrashevych algebras of contracting self-similar groups (with B. Steinberg), submitted, arXiv:2008.04220



Research talks


Invited conference talks

On the graph condition regarding the F-inverse cover problem, AMS-EMS-SPM meeting, Algebraic Theory of Semigroups and Applications, (Porto, Portugal, June 13, 2015).

Two examples of geometric methods in inverse semigroup theory, Winter One-relator Workhop, (Norwich, UK, Jan 11, 2018).

Inverse monoids and immersions of cell complexes, Rhodesfest81, (Ramat Gan, Israel, Jun 5, 2018).

Inverse monoids of partial graph automorphisms, International Conference on Semigroups 2018, (Lisbon, Portugal, July 12, 2018).

Inverse monoids and immersions of cell complexes, NBSAN-meeting, (Manchester, UK, Jul 12, 2019).

Simplicity of contracted inverse semigroup algebras, International Conference on Semigroups and Applications, (Cochin, India, Dec 9, 2019).


Contributed conference talks

On the number of slim, semimodular lattices, Conference on Universal Algebra and Lattice Theory, (Szeged, Hungary, Jun 24, 2012).

On the membership problem for closed inverse submonoids of inverse monoids, AAA87 & CYA28, (Linz, Austria, Feb 9, 2014).

Inverse monoids and immersions of 2-complexes, CSM -- Conference of PhD Students in Mathematics, (Szeged, Hungary, Jul 2, 2014).

Inverse monoids and immersions over 2-complexes, ITAT 2016, Algorithmic Aspects of Finding Semigroups of Partial Automorphisms of Combinatorial Structures, (Tatranské Matliare, Slovakia, Sept 17, 2016).

Algorithmic properties of tree-like inverse monoids, Semigroups and Groups, Automata, Logics, (Cremona, Italy, Jun 10, 2019).



Seminar talks

F-inverse covers of E-unitary inverse monoids, University of Szeged, (Hungary, Apr 17, 2013).

F-inverse covers of inverse monoids, University of Nebraska-Lincoln, (USA, Nov 5, 2013).

Inverse monoids and immersions of 2-complexes, University of Szeged, (Hungary, March 5, 2014).

Inverse monoids and immersions of 2-complexes, Alfréd Rényi Institute of Mathematics, (Budapest, Hungary, Apr 25, 2014).

The algebraic structure of partial automorphisms of graphs, Alfréd Rényi Institute of Mathematics, (Budapest, Hungary, May 8, 2017).

The algebraic structure of partial automorphisms of graphs, University of York, (UK, July 7, 2017).

Inverse monoids and immersions of cell complexes, University of Coimbra, (Portugal, Oct 17, 2017).

Inverse monoids and immersions of cell complexes, NOVA University Lisbon, (Portugal, Nov 20, 2017).

Inverse monoids and immersions of cell complexes, University of Porto, (Portugal, Nov 24, 2017).

Hyperbolic groups and generalizations I-II., University of Szeged, (Hungary, March 14 & 21, 2018).

Inverse monoids and immersions of cell complexes, University of York, (UK, March 13, 2019).

Algorithmic properties of tree-like inverse monoids, University of St Andrews, (UK, Apr 4, 2019).

Algorithmic properties of tree-like inverse monoids, City University of New York, (USA, May 10, 2019).

Algorithmic properties of tree-like inverse monoids, Heriot-Watt University, (Edinburgh, UK, May 22, 2019).

Hyperbolic and tree-like inverse monoids, University of York, (UK, Oct 17, 2019).

Simplicity of contracted inverse semigroup algebras, University of York, (online, May 20, 2020).

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