# doc. Mgr. Ján Karabáš, PhD.

ORCiD |
https://orcid.org/0000-0001-7401-3611 |

ResearcherID |
D-6442-2016 |

Scopus Author ID |
16021946000 |

## Qualification and degrees

**Associate professor:** Matej Bel University in Banská Bystrica, Slovakia in **2015** in the field Mathematics with thesis *Discrete Group Actions: Algorithms and Applications***Philosophiae Doctor:** Mathematical Institute of Slovak Academy of Sciences, Bratislava in the field "Algebra and Number Theory" in **2005** with thesis *3-Manifolds with Heegaard Genus at most Two*,**Master of Sciences:** Matej Bel University, Banská Bystrica with specialization "Teacher of Informatics" in **2000**.

## Professional history

Nov 2015 - |
associate professor (lecturer) of Applied Informatics, Department of Computer Science, FPV UMB, Banská Bystrica |

2016 - 2018 |
researcher (10%), NTIS, Faculty of Applied Sciences, University of West Bohemia, Pilsen, Czech republic |

Jul 2015 - Oct 2015 |
assistant professor, Department of Computer Science, FPV UMB, Banská Bystrica |

Jan 2015 - Jun 2015 |
visiting professor (at the position of assistant professor), University of Primorska, Koper |

2005 - Sep 2015 |
research worker, SRI of Matej Bel University in Banská Bystrica |

2004 - 2005 |
assistant, Department of Mathematics, Faculty of Natural Sciences of Matej Bel University in Banská Bystrica |

2001 - 2004 |
PhD student, Mathematical Institute of Slovak Academy of Sciences in Banská Bystrica |

1996 - 2003 |
research worker, Public Observatory in Banská Bystrica |

## Research

I am active in the fields of group actions on graphs and surfaces, maps, computational group theory and low-dimensional topology. In every field, I try to find, study and implement as effective algorithms as possible to solve (or partially solve) the problems. I use C, C++, GAP and Python as languages of implementation of algorithms

## Teaching

Since 2001 I led the folowing seminars (and/or) lectures on Department of Mathematics on Faculty of Natural Sciences, Matej Bel University:

- formal languages and automata,
- theory of computation,
- abstract algebra,
- linear optimization,
- coding theory, theory of information,
- cryptography,
- basic usage of computers,
- elementary statistics,
- linear programming,
- discrete mathematics and graph theory,
- algebraic structures.

...and some others.

## List of Publications

- d’Azevedo, A.B., Catalano, D.A., Karabáš, J. et al. Quadrangle Group Inclusions,
*Beitr. Algebra Geom.*(2017) 58: 369. DOI: 10.1007/s13366-016-0309-3 - d’Azevedo A.B., Catalano D.A., Karabáš J., Nedela R. Census of Quadrangle Groups Inclusions. In: Širáň J., Jajcay R. (eds) Symmetries in Graphs, Maps, and Polytopes. SIGMAP 2014. Springer Proceedings in Mathematics & Statistics, vol 159. Springer, Cham. DOI: 10.1007/978-3-319-30451-9_2
- Breda d'Azevedo, A., Catalano, D. A., and Karabáš, J.,
*Two infinite families of Archimedean maps of higher genera*, Ars Combinatoria**128**, pp. 241-254, 2016. - Breda d'Azevedo, A., Catalano, D. A., Karabáš, J., and Nedela, R.,
*Maps of Archimedean Class and operations on dessins*, Discrete Mathematics**338**, Issue 10, (2015), 1814–1825, Proceedins of Seventh Czech-Slovak International Symposium on Graph Theory, Combinatorics, Algorithms and Applications, Košice 2013. - Karabáš, J., Máčajová, E., and Nedela, R.,
*6-decomposition of snarks,*European Journal of Combinatorics**34**(2013), 111 - 122 - Karabáš, J., and Nedela, R.,
*Archimedean maps of higher genera*, Math. Comp.**81**(2012), 569-583. - Karabáš, J., and Nedela, R.,
*Archimedean solids of genus two*, Electronic Notes in Discrete Mathematics**28**(2007), 331-339. - Karabáš, J., Maličký, P., and Nedela, R.,
*Three-manifolds with Heegaard genus at most two represented by crystallisations with at most 42 vertices*, Discrete Mathematics**307**(2007), 2569 - 2590. - Karabáš, J.,
*3-manifolds with Heegaard genus at most two*, PhD Thesis, Mathematical Institute of SAS, Bratislava, 2005. - Karabáš, J., Maličký, P., and Nedela, R.,
*Fundamental groups of prime 3-manifolds of genus at most two*, Tatra Mountains Math. Publ.**36**(2007), 1-11, Proceedings of conference "Graphs 2004". - Karabáš, J., and Nedela, R.,
*Minimal Representatives of G-classes of 3-Manifolds of Genus Two*, Acta Univ. M. Belii. Ser. Mathematics**10**(2003), 21-42.

## Conferences, seminars, lectures

2019 |
54th Czech-Slovak conference Grafy 2019, Smižany, Slovakia with talk Classification of edge-transitive maps and group actions on orientable surfaces |

2018 |
53rd Czech-Slovak conference Grafy 2018, Prague, Czech republic with talk Six-cycles and perfect matchings in snarks |

2017 |
23rd Conference on Applications of Computer Algebra Jerusalem, Jerusalem, Israel with talk Classification of discrete group actions on Riemann surfaces of higher generaGEMS 2017, Graph Embeddings and Maps on Surfaces, Podbanské, Slovakia (as a member of organising commitee) |

2016 |
51st Czech-Slovak conference Grafy 2016, Chľaba, Slovakia with talk Algorithms for regular 3-edge-colouring of subcubic graphs |

2015 |
8th Slovenian International Conference on Graph Theory, Kranjska Gora, Slovenia with talk Orientend edge-transitive maps,Encompassing Computer Science Workshop 2015, Koper, Slovenia with talk Basic algorithms in theory of maps |

2014 |
SIGMAP 2014, Great Malvern, United Kingdom, with talk Discrete group actions and edge-transitive maps on a given surface. |

2013 |
Geometry Days in Novosibirsk, with talk Discrete group actions on orientable surfaces, ATCAGC 2013, Bovec, Slovenia with talk Discrete group actions on orientable surfaces. |

2012 |
Workshop on low dimensional conformal structures and their groups, Gdańsk, Poland with talk Group actions on orientable surfaces,Czech-Slovak Graph Theory Conference 2012, Litomyšl, Czech republic with talk Archimedean operations and vertex-transitive maps,Symmetries of Discrete Objects, Queenstown, New Zealand with talk Discrete group actions on orientable surfaces |

2011 |
Workshop on Symmetry in Graphs, Maps and Polytopes, Fields Institute, Toronto, Canada with talk Classification of edge-transitive maps,Workshop on Group Actions on Combinatorial Structures, Beijing, Public Republic of China with talk Discrete groups of automorphisms of orientable surfaces,Bled'11 - 7th Slovenian International Conference on Graph Theory, Bled, Slovenia with talk Classification of edge-transitive maps,Czech-Slovak Graph Theory Conference 2011,Šachticky, Slovakia with talk Classification of edge-transitive maps, (also as the member of the organising commitee), |

2010 |
SIGMAP 2010, Oaxaca, Mexico with talk Archimedean maps of higher genera,Czech-Slovak Graph Theory Conference 2010, Lednice, Czech republic with talk Archimedean maps of higher genera,Joint Mathematical Conference CSASC 2010, Prague, Czech Republic with talk Archimedean maps of higher genera (revisited). |

2009 |
GEMS 2009, Graph Embeddings and Maps of Surfaces, Tále, Slovakia (as member of organisers committee). |

2008 |
Workshop on Discrete Mathematics, Vienna, Austria with talk Classification and enumeration of discrete group actions on Riemann surfaces of small genera,Research fellow on Department of Mathematics, University of Aveiro, Aveiro, Portugal. |

2007 |
Czech-Slovak Graph Theory Conference 2007, Hradec nad Moravicí, Czech republic with talk Archimedean solids,6th Slovenian International Conference on Graph Theory, Bled, Slovenia with talk Archimedean solids of higher genera,Slovak-Austrian Mathematical Congress, Podbanské, Slovakia with talk On finite group actions on Riemann surfaces up to genus ten. |

2006 |
Sixth Czech-Slovak International Symposium on Combinatorics, Graph Theory, Algorithms and Applications, Prague, Czech republic with talk Archimedean solids of genus two,SIGMAC 2006, Aveiro, Portugal with talk Archimedean solids of genus two. |

2005 |
40th Czech and Slovak Conference GRAPHS 2005, Budmerice, Slovakia with talk H-hamiltonicity of 3-valent polyhedral graphs,GEMS 2005, Stará Lesná, Slovakia with talk Pure combinatorial classification of 3-manifolds with genera zero and one,Midsummer Combinatorial Workshop, Prague, Czech republic with talk Combinatorial methods in low-dimensional topology. |

2004 |
Czech-Slovak Conference GRAPHS 2004, Vyšné Ružbachy, Slovakia with talk Fundamental groups of prime 3-manifolds up to genus 2 and its isomorphisms,Classification of 3-manifolds of genus $\leq 2$, invited lecture at Bologna University,Classification of 3-manifolds of genus $\leq 2$, invited lecture in Seminar at Dept. of Mathematics, Modena University. |

2002 |
Graphs 2002, Rejvíz, Czech republic with talk G-classes of admissible 6-tuples representing 3-manifolds up to genus 2 |