Publications


Inverse monoids and immersions of Δ-complexes (with J. Meakin), Internat. J. Algebra and Comput. (2021), arXiv:1709.03887

Simplicity of inverse semigroup and étale groupoid algebras (with B. Steinberg), Adv. Math. 386 (2021), arXiv:2006.13787

Inverse monoids of partial graph automorphisms (with R. Jajcay, T. Jajcayova, and M. Szendrei), J. Algebraic Comb. 53 (2021) 829-849, arXiv:1809.04422

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

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

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

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


Preprints

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

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



Research talks


Invited conference talks

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

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

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

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

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

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).


Contributed conference talks

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

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).

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

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

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



Seminar talks

Simplicity Nekrashevych algebras of contracting self-similar groups, Mathematical Institute, Göttingen, (online, Jan 14, 2021)

Simplicity Nekrashevych algebras of contracting self-similar groups, Western Sydney University, (online, Oct 22, 2020)

Simplicity Nekrashevych algebras of contracting self-similar groups, Alfréd Rényi Institute of Mathematics, (online, Sept 28, 2020)

Simplicity of contracted inverse semigroup algebras, University of Szeged, (Hungary, Sept 2, 2020).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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