CURRICULUM VITAE

RNDr. Jozef Pócs, PhD.

About me:

I was born in Košice, Slovak Republic. After graduated from Faculty of Science of Pavol Jozef Šafárik University in Košice, Slovak Republic, with Master’s Diploma in speciality Mathematical Management I started my postgraduate study in the Mathematical Institute of Slovak Academy of Sciences and defended my dissertation thesis "Retracts in some types of algebraic structures" under supervisor prof. RNDr. Danica Jakubíková-Studenovská, CSc. in 1. July 2008. I worked in the Mathematical Institute of Slovak Academy of Sciences, extension in Košice since 1. September 2007.

Personal details:

Education:

Work:

Teaching:

Project participation:

• 2004 - 2005: VEGA 1/0423/03 Algebraic structures.
• 2006 - 2008: VEGA 1/3003/06 Algebraic structures.
• 2010 - 2012: VEGA 2/0194/10 Representation and classification problems of algebraic structures.

Research interests:

Algebra, monounary algebras, lattice theory, fuzzy concept analysis.

Publications:

• D. Jakubíková-Studenovská, J. Pócs, Test elements and the Retract Theorem for monounary algebras ,
  Czechoslovak Mathematical Journal, Vol. 57, No. 3, pp. 975–986, 2007.


• D. Jakubíková-Studenovská, J. Pócs, Cardinality of retracts of monounary algebras,
  Czechoslovak Mathematical Journal, Vol. 58, No. 2, pp. 469–479, 2008.


• J. Lihová, J. Pócs, On formations of lattices,
  Acta Universitatis Matthiae Belii, series Mathematics; No. 15, pp. 63-72, 2009.


• D. Jakubíková-Studenovská, J. Pócs, Monounary Algebras,
  1. edition, 304 pp, UPJŠ Košice 2009, ISBN 978-80-7097-763-7.


• D. Jakubíková-Studenovská, J. Pócs, Lattice of retracts of monounary algebras,
  accepted for publication in Mathematica Slovaca.


• D. Jakubíková-Studenovská, J. Pócs, Some properties of retract lattices of monounary algebras,
  accepted for publication in Mathematica Slovaca.


• D. Jakubíková-Studenovská, J. Pócs, On finite retract lattices of monounary algebras,
  accepted for publication in Mathematica Slovaca.

Talks on scientific conferences:

• Test elements and the Retract Theorem for monounary algebras, 69th Workshop on General Algebra, Potsdam, Germany, 18-20 March 2005.
• Cardinality of retracts of monounary algebras, 7-th conference of Košice mathematicians, Herľany, Slovak Republic, 29 March-1 April 2006.
• Retract lattices of monounary algebras, 8-th conference of Košice mathematicians, Herľany, Slovak Republic, 18-21 April 2007.
• On retract lattices of monounary algebras,74th Workshop on General Algebra, Tampere University of Technology, Finland, 7-10 June 2007.

List of Abstracts

• J. Pócs, D. Jakubíková-Studenovská, Test Elements and the Retract Theorem for Monounary Algebras, 69th Workshop on General Algebra, p. 69, Potsdam, Germany, 18-20 March 2005.
• J. Pócs, On retract lattices of monounary algebras, 74th Workshop on General Algebra, Tampere University of Technology, Finland, 7-10 June 2007.

Citations

• Novotný M., Retracts of algebras, Fund. Inform. 75 (1-4) (2007) 375-384. cite D. Jakubíková-Studenovská, J. Pócs, Test elements and the Retract Theorem for monounary algebras .

Talks on the scientific seminars:

• Test elements and the Retract Theorem for monounary algebras, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 7. December 2004.
• Cardinality of retracts of monounary algebras, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 20. October 2005.
• Retracts in monounary algebras, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 25. April 2006.
• Lattice of retracts of monounary algebras I, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 31. October 2006.
• Lattice of retracts of monounary algebras II, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 7. December 2006.
• Retracts of monounary algebras I, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 26. March 2007.
• Retracts of monounary algebras II, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 2. April 2007.
• Retract lattices of monounary algebras, Internal seminar at MI SAS Košice, 30. November 2007.
• M-symmetric lattices I, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 3. December 2007.
• M-symmetric lattices II, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 10. December 2007.
• On convexities of lattices, Internal seminar at MI SAS Košice, 21. May 2008.
• Retracts in some types of algebraic structures, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 26. June 2008.
• On convexity of lattices generated by ω_o, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 8. October 2008.
• wcc-Boolean algebras and convexity generated by two element chain, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 22. October 2008.
• Complete distributivity of concept lattices, Fuzzy formal concept analysis, seminar at P. J. Šafárik University in Košice, 26. January 2009.
• Gödel-Bernays axioms of set theory, Forcing, seminar at P. J. Šafárik University in Košice, 17. March 2009.
• Formations of lattices, Internal seminar at MI SAS Košice, 29. October 2009
• Note on generating of concept lattices, Fuzzy formal concept analysis, seminar at P. J. Šafárik University in Košice, 4. November 2009.
• Formations of finite lattices, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 20. November 2009.
• Cayley Theorem for distributive lattices and Boolean Algebras, Ordered algebraic structures, seminar at P. J. Šafárik University in Košice, 27. November 2009.
• Some modifications of Birkhoff's Theorem, Mathematical seminar "Aká si mi krásna", Matej Bel University Banská Bystrica, 30. March 2010.