prof. RNDr. Josef Šlapal, CSc.
E-mail:   slapal@fme.vutbr.cz 
WWW:   http://www.mat.fme.vutbr.cz/home/slapal
Dept.:   Institute of Mathematics
Dept. of Algebra and Discrete Mathematics
Position:   Professor
Dept.:   NeTME Centre
Division of Mathematics
Position:   Head of Subdivision

Education and academic qualification

  • 1971-75 attending the Elektrotechnical High School in Brno
  • 1975-80 study at Masaryk University in Brno, Faculty of Sciences (M.A. in pure mathematics)
  • 1982 rigorous examination in functional analysis - the degree RNDr.
  • 1989-92 postgraduate study at Masaryk University in Brno, the degree CSc. (=PhD.) in algebra and number theory
  • 1994 habilitation in mathematics at Masaryk University in Brno
  • 2000 profesor in applied mathematics at the Brno University of Technology

Career overview

  • 1981-86 Lecturer and Senior Lecturer at the Department of Mathematics, Technical University of Ostrava
  • 1986-91 Research-Technical Specialist at Department of Mathematics, Technical University of Brno
  • 1991-94 Senior Lecturer at the Department of Mathematics, Technical University of Brno
  • 1994-00 Associate Professor at the Brno University of Technology, Dpt. of Mathematics
  • 2000- Profesor in applied mathematics at the Brno University of Technology

Pedagogic activities

  • Master study programme Mathematical Engineering at FME: Discrete Mathematics Methods, Graphs and Algorithms, Mathematical Logic, Mathematical Structures
  • Master study programmes at FIT: Mathematical Structures in Informatics
  • PhD study at FIT: Category Theory, Modern Mathematical Methods in Informatics
  • Annual lectures on Universal Algebra, Category Theory and Topology in the framework of the Erasmus Programme at universities in abroad (Universität Potsdam, Technische Universität Wien, LAquila University)
  • Supervisor of PhD students in the study programme Mathematical Engineering - 4 students have already graduated
  • The responsible person for realizing the Double Diploma Program in "Mathematical Modelling in Engineering" with L'Aquila University 
  • The responsible person for realizing the study program mathematical Engineering at FME BUT (both Bachelor's and Master's program)

Scientific activities

  • General Algebra - cartesian closedness in categories of relational and algebraic structures
  • Categorical Topology - closure operators and convergence structures on categories
  • Digital Topology - structuring the digital plane by using closure operators
  • Research supported by grants from GA CR and from Ministry of Education of CR
  • Results annually published in international journals and presented at international conferences
  • H-index 12

Academic internships abroad

  • 1995-96 six months at Freie Universität Berlin
  • 1999 one month at Freie Universität Berlin
  • 2001 four months at University of Pittsburgh
  • 2003 six months at L'Aquila University
  • 2003-04 two one-month stays at University of the Thai Chamber of Commerce, Bangkok
  • 2008-11 two one-month stays at Chiang Mai University (Thailand)
  • 2009 one month at University of Stellenbosch (South Africa)

University activities

  • 1990-96 member of the Academic Senate of FME
  • 2003- member of PhD study branch councils at FME and FIT
  • 2007- member of PhD study branch councils at FS UP Olomouc
  • 2008- member of the Scientific Board of FIT VUT Brno
  • 2008-12 member of the Scientific Board of FBM VUT Brno
  • 2009- member of the Scientific Board of FS UP Olomouc

Non-University activities

  • Member (and in 2008-11 the Head) of the Advisory Committee of Summer Conferences on Topology nd Applications.
  • Head of the organizing committee of the "24th Summer Conference on Topology and its Applications", Brno, July 14-17, 2009.
  • Head of the organizing committee of the "16th International Workshop on Combinatorial Image Analysis (IWCIA)", Brno, May 28-30, 2014.
  • Member of Steering Committees of the conferences  IWCIA.
  • Founder and Editor in Chief of the scientific journal Mathematics for Applications.

Prizing by scientific community

  • 1995 grant from the German Academy of Sciences
  • 1999 support from DAAD (Germany)
  • 2001 Dr. Jiri Nehnevajsa Memorial Award received (USA)
  • 2003 Outreach Fellowship from NATO (Italy)
  • 2009 NRF-ASCR Fellowship (South Africa) 
  • 1995- invited lectures at universities in abroad (Potsdam, Berlin, Darmstadt, Pittsburgh, New York, Slippery Rock, L'Aquila, Bangkok, Chiang Mai, Cape Town, Stellenbosch, Auckland, etc.)

Projects

  • GACR 201/95/0468 General algebraic and topological systems
  • PG98006 (Czech Min. of Education) Dissemination of scientific results
  • GACR 201/00/1466 Continuous and set-theoretic methods in topological and algebraic structures
  • GACR 201/03/0933 Set-theoretic and categorical methods in topological and algebraic structures
  • MSM 260000013 Automatization of technologies and production processes
  • MSM 0021630518 Simulation modelling of mechatronic systems
  • Erasmus IP Project "Mathematical Modelling in Life and Social Sciences"
  • AV CR - NRF (South Africa) Mobility Grant "Compactness and connectedness in categorical topology"
  • OPVK 2.3 A-Math-Net: Transfer of knowledge in applied mathematics

Sum of citations (without self-citations) indexed within SCOPUS

158

Sum of citations (without self-citations) indexed within ISI Web of Knowledge

138

Sum of other citations (without self-citations)

81

Supervised courses:

Publications:

  • ŠLAPAL, J.:
    Convenient adjacencies on Z^2
    journal article in Web of Science
  • ŠLAPAL, J.:
    Jordan curves in the digital plane
    journal article in Web of Science
  • ŠLAPAL, J.:
    A Jordan curve theorem with respect to a pretopology on Z^2,
    International Journal of Computer Mathematics, Vol.90, (2013), No.8, pp.1618-1628, ISSN 0020-7160, Taylor&Francis
    journal article - other
  • ŠLAPAL, J.:
    Topological structuring of the digital plane,
    DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE, Vol.15, (2013), No.2, pp.165-176, ISSN 1365-8050, DMTCS
    journal article - other
  • ŠLAPAL, J.:
    Graphs with a path partition for structuring the digital plane,
    INFORMATION SCIENCES, Vol.233, (2013), No.1, pp.305-312, ISSN 0020-0255
    journal article - other
  • ŠLAPAL, J.; PFALTZ, J.:
    Transformations of Discrete Closure Systems,
    Acta Mathematica Hungarica, Vol.138, (2013), No.4, pp.386-405, ISSN 0236-5294
    journal article - other
  • ŠLAPAL, J.:
    Compactness and convergence with respect to a neighborhood operator,
    Collectanea Mathematica, Vol.63, (2012), No.2, pp.123-137, ISSN 0010-0757
    journal article - other

List of publications at Portal BUT

Abstracts of most important papers:

  • ŠLAPAL, J.:
    Graphs with a path partition for structuring the digital plane,
    INFORMATION SCIENCES, Vol.233, (2013), No.1, pp.305-312, ISSN 0020-0255
    journal article - other
    We introduce the concept of graphs with a path partition and define a special type of connectedness in these graphs. The connectedness is shown to have certain properties suitable for using graphs with a path partition as convenient background structures on digital spaces for the study of digital images. We introduce a family of such graphs on the integer plane and present a Jordan curve theorem for them.
  • ŠLAPAL, J.:
    A quotient-universal digital topology,
    Theoretical Computer Science, Vol.405, (2008), No.1-2, pp.164-175, ISSN 0304-3975, Elsevier
    journal article - other
    A certain topology in the digital plane is studied which has the property that most of the topologies used in digital topology may be found among its quotients. V práci je studována jistá topologie v digitální rovině, která má tu vlastnost, že v.
  • ŠLAPAL, J.:
    Convergence on categories,
    Applied Categorical Structures, Vol.16, (2008), No.4, pp.503-519, ISSN 0927-2852, Springer
    journal article - other
    Convergence on categories is defined and studied as a basic topological structure. It is then used to define, e.g., closure opertors on categories.
  • ŠLAPAL, J.:
    A digital analogue of the Jordan curve theorem,
    Discrete Applied Mathematics, Vol.139, (2004), No.1, pp.231-251, ISSN 0166-218X
    journal article - other
    We study certain closure operations on the digital plane and prove a digital analogy of the Jordan curve theorem for them. We show some aplication of this result in digital image processing.
  • ŠLAPAL, J.:
    Net spaces in categorical topology,
    Annals of the New York Academy of sciences, Vol.806, (1996), No.1, pp.393-412, ISSN 1573-3109
    journal article - other
    A concept of net spaces is introduced and its role in categorical topology is studied.