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

1. 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
2. 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
3. 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.
4. 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. 
5. Karabáš, J., Máčajová, E., and Nedela, R., 6-decomposition of snarks, European Journal of Combinatorics 34 (2013), 111 - 122
6. Karabáš, J., and Nedela, R., Archimedean maps of higher genera, Math. Comp. 81 (2012), 569-583.
7. Karabáš, J., and Nedela, R., Archimedean solids of genus two, Electronic Notes in Discrete Mathematics 28 (2007), 331-339.
8. 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.
9. Karabáš, J., 3-manifolds with Heegaard genus at most two, PhD Thesis, Mathematical Institute of SAS, Bratislava, 2005.
10. 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".
11. 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 genera GEMS 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