Biographical summary

Occupation

  • 1981–1984: Charles University, Faculty of Mathematics and Physics, Department of Mathematical Analysis, Research Assistant.
  • 1985–1987: Czech Technical University, Faculty of Electrical Engineering, Department of Mathematics, Graduate Research Associate.
  • 1987–1998: Czech Technical University, Faculty of Electrical Engineering, Department of Mathematics, Assistant Professor.
  • 1999–2016: Czech Technical University, Faculty of Electrical Engineering, Department of Mathematics, Associate Professor.
  • 2017–: Czech Technical University, Faculty of Electrical Engineering, Department of Mathematics, Professor.

Education

  • 1984: Graduated with honours from Mathematical Analysis studies of Faculty of Mathematics and Physics, Charles University, Prague. Thesis: Porous, σ-porous and other exceptional sets.
  • 1984: Doctor of Natural Sciences (RNDr.) in Mathematical Analysis, Charles University, Prague.
  • 1989: Diploma University Pedagogue, Institute of Technical Studies, Prague. Thesis: Mathematical part of SAT and its results for students of Faculty of Electrical Engineering of Czech Technical University.
  • 1991: Candidate of Sciences (CSc., approx. Ph.D.) in Mathematical Analysis, Czech Technical University in Prague. Thesis: Finitely additive measures on orthostructures.
  • 1998: Habilitation in Applied Mathematics, Czech Technical University in Prague. Thesis: Axiomatic models of quantum systems.
  • 2016: Professor in Applied Mathematics, Czech Technical University in Prague. Thesis: Quantum Structures.

Publication Activity

Over 40 research papers on real functions, measure theory, orthostructures, quantum logics. See Selected Research Publications.

Stays

  • 1982: University of Novosibirsk (Russia).
  • 1993: Friedmann Laboratory of Theoretical Physics, St. Petersburg (Russia).
  • 1994–1995: E.-M.-Arndt University Greifswald (Germany).
  • 1995: University of Technology Vienna (Austria).
  • 1997: University of Technology Vienna (Austria).
  • 1999: Slovak Technical University Bratislava (Slovakia).
  • 1999: Fuzzy Logic Laboratorium Linz (Austria).
  • 2000: McMaster University Hamilton (Canada).
  • 2000: University of Technology Vienna (Austria, twice).
  • 2001: Technical University of Budapest (Hungary).
  • 2001: University of Patras (Greece).
  • 2002: Technical University of Budapest (Hungary).
  • 2003: University of Patras (Greece).
  • 2003: Slovak Technical University Bratislava (Slovakia).
  • 2005: University of Patras (Greece).
  • 2005: University of Technology Vienna (Austria).
  • 2005: Tampere University of Technology (Finland).
  • 2006: University of Patras (Greece).
  • 2006: Tampere University of Technology (Finland).
  • 2007: University of Technology Vienna (Austria).
  • 2008: University of Patras (Greece).
  • 2008: Tampere University of Technology (Finland).
  • 2008: University of Technology Vienna (Austria).
  • 2009: University of Technology Vienna (Austria, twice).
  • 2009: Tampere University of Technology (Finland).
  • 2011: University of Technology Vienna (Austria).
  • 2011: Tampere University of Technology (Finland).
  • 2013: University of Technology Vienna (Austria).
  • 2014: University of Technology Vienna (Austria).

Conferences

  • 1983: 11th Winter School on Abstract Analysis, Zelezna Ruda (Czechoslovakia).
  • 1984: 12th Winter School on Abstract Analysis, Srni (Czechoslovakia).
  • 1987: 11th Summer Symposium on Real Analysis, Esztergom (Hungary).
  • 1988: 1st Winter School on Measure Theory, Liptovsky Jan, (Czechoslovakia).
  • 1990: 2nd Winter School on Measure Theory, Liptovsky Jan, (Czechoslovakia).
  • 1992: Quantum Structures '92, Castiglioncello (Italy).
  • 1993: 3rd Winter School on Measure Theory, Liptovsky Jan (Slovakia).
  • 1994: EMAU Colloquium, Greifswald (Germany).
  • 1994: Quantum Structures '94, Prague (Czech Republic).
  • 1995: 4th Winter School on Measure Theory, Liptovsky Jan (Slovakia).
  • 1996: Quantum Structures '96, Berlin (Germany).
  • 1997: IQSA's Conference '97, Atlanta (USA).
  • 1998: Quantum Structures '98, Liptovsky Jan (Slovakia).
  • 1998: Ordered Algebraic Structures and Related Areas '98, Nanjing (China).
  • 1998: 4th Int. Conf. on Fuzzy Sets Theory and its Applications, Liptovsky Jan (Slovakia).
  • 2001: Quantum Structures V, Cesena–Cesenatico (Italy).
  • 2002: Quantum Structures 2002, Wien (Austria).
  • 2004: Quantum Structures 2004, Denver (USA).
  • 2006: Quantum Structures '06, Malta.
  • 2007: Quantum Theory: Reconsiderations of Foundations 4, Växjö (Sweden).
  • 2008: Quantum Structures '08, Sopot (Poland).
  • 2009: Quantum Structures 2009, Kočovce (Slovakia).
  • 2010: Quantum Structures 2010, Boston (USA).
  • 2011: Quantum Structures 2011, Kočovce (Slovakia).
  • 2012: Quantum Structures 2012, Cagliari (Italy).
  • 2013: 86th Workshop on General Algebra, Olomouc (Czech Republic).
  • 2014: Quantum Structures 2014, Olomouc (Czech Republic).
  • 2016: Quantum Structures 2016, Leicester (United Kingdom).
  • 2018: Quantum Structures 2018, Kazan (Russia).
  • 2019: EUSFLAT 2019, Prague (Czech Republic).

Projects and Grants

  • 1987: Union of Czech Mathematicians and Physicists.
  • 1992: Czech Literary Fund.
  • 1994/95: German Academy of Sciences.
  • 1995/96: Quantum Systems, AKTION Austria – Czech Republic.
  • 1997: State spaces of quantum logics, Czech Technical University.
  • 1998: Representations of orthomodular structures, Ministry of Education.
  • 2004: International Quantum Structures Association.
  • 2016: Quantum structures, Czech Technical University.

Participation on Projects

  • 1985–1988: Mathematical methods of quantum theories.
  • 1993–1994: Noncommutativity probability theory and its applications, Czech Technical University.
  • 1993–1994: Orthomodular structures and quantum logics (mathematical description of a quantum system), Czech Technical University.
  • 1993–1995: Quantum logics as orthomodular structures, Grant Agency of the Czech Republic.
  • 1996: Fuzzy logic and triangle norms, Czech Technical University.
  • 1996–1998: Mathematical models of quantum theories (Operator algebras and ordered structures with an orthocomplementation), Grant Agency of the Czech Republic.
  • 1997–1999: Mathematical models of uncertainty, Grant Agency of the Czech Republic.
  • 1999–2004: Applied mathematics in technical sciences, Ministry of Education.
  • 2000–2002: Operator algebras, orthocomplemented structures and noncommutative measure theory, Grant Agency of the Czech Republic.
  • 2002–2004: Multi-valued logics for soft computing, Grant Agency of the Czech Republic.
  • 2003–2009: Noncommutative measure theory, Grant Agency of the Czech Republic.
  • 2005–2011: Applied mathematics in technical and physical sciences, Ministry of Education.
  • 2007–2009: Algebraic and measure-theoretic aspects of quantum structures, Grant Agency of the Czech Republic.
  • 2013–2015: Quantum structures, Czech Technical University.
  • 2018–2026: The Center of Advanced Applied Sciences. Ministry of Education.

Other Activities

  • 1977–: Member of the Union of Czech Mathematicians and Physicists.
  • 1988–: Reviewer for various mathematical journals.
  • 1991–: Reviewer for Zentralblatt fuer Mathematik.
  • 1991–: Reviewer for Mathematical Reviews.
  • 1992–: Member of International Quantum Structures Association.
  • 1993–2010: Member of American Mathematical Society.
  • 1993: Organization of the conference Quantum Logics Today, Prague (Czech Republic).
  • 1994: Member of the organizing committee of the conference Quantum Structures '94, Prague (Czech Republic).
  • 2008–2012: Member of the Council of International Quantum Structures Association.
  • 2010: Member of the Scientific Committee of the conference Quantum Structures 2010 (Boston, USA)
  • 2012–2018: Member of the Editorial Board of Mathematica Aeterna.
  • 2012: Member of the Scientific Committee of the conference Quantum Structures 2012 (Cagliari, Italy)

Home Page - Selected Research Publications - Other Texts (in Czech) - Teaching (in Czech)

Last modified: April 26, 2021.