doc. Mgr. Petr Zemánek, Ph.D.

Curriculum vitae

Name, first names, scientific degrees, personal informations

• Assoc. Prof. Mgr. Petr Zemánek, Ph.D.
  born on April 21, 1983, in Znojmo, Czech Republic

Department/Faculty/University

• Department of Mathematics and Statistics
  Faculty of Science, Masaryk University
  Kotlářská 2
  61137 Brno
  Czech Republic

Function, current position

• Associate professor

Education and academic qualifications

• July 1, 2017, Assoc. Prof. degree in the specialization “Mathematics – Mathematical Analysis” (Faculty of Science, Masaryk University) and with the title of the doctoral dissertation “Discrete Symplectic Systems and Square Summable Solutions”
• June 13, 2011, Ph.D. degree in the doctoral study programme “Mathematics” with the field of the study “Mathematical analysis” (Faculty of Science, Masaryk University) and with the doctoral dissertation “New Results in Theory of Symplectic Systems on Time Scales” (advisor Assoc. Prof. RNDr. Roman Šimon Hilscher, Dsc.)
• June 13, 2007, Mgr. degree in the master's degree programme “Mathematics” with the specialization in the mathematical analysis (Faculty of Science, Masaryk University) and with the master’s thesis “Symplectic Difference Systems” (in Czech, supervisor Assoc. Prof. RNDr. Roman Hilscher, Ph.D.)
• June 30, 2005, Bc. degree in the bachelor's study programme “Mathematics” (Faculty of Science, Masaryk University) and with the bachelor’s thesis “Linear Differential Equations of the n-th Order with Constant Coefficients and Their Applications” (in Czech, supervisor prof. RNDr. Miroslav Bartušek, DrSc.)

Professional experience

• since July 2017, Department of Mathematics and Statistics, Faculty of Science, Masaryk University (associate professor)
• July 2011 – June 2017, Department of Mathematics and Statistics, Faculty of Science, Masaryk University (assistant professor)
• March 2011 – June 2011, Department of Mathematics and Statistics, Faculty of Science, Masaryk University (instructor)

Teaching activities

• mathematical analysis in real and complex domains
• optimization (calculus of variations and mathematical programming)
• differential and difference equations

Research activities

• symplectic systems
• linear Hamiltonian systems
• spectral theory
• time scale theory

Internship and stays for the purpose of study or work

• 2019/07/21 – 2019/07/27: Superior Technical Institute, Lisbon, PRT
  • 30th International Workshop on Operator Theory and its Applications (IWOTA 2019); téma přednášky/title of the talk "On linear relations associated with discrete symplectic systems " (23. 7. 2019).
  • GA19-01246S
• 2019/06/23 – 2019/06/29: University College London, London, GBR
  • The 25th International Conference on Difference Equations and Applications (ICDEA 2019); téma přednášky/title of the talk "On square integrable solutions for symplectic and linear Hamiltonian systems " (25. 6. 2019).
  • GA19-01246S
• 2018/07/01 – 2018/07/05: University of Pannonia, Veszprém, HUN
  • Veszprém Conference on Differential and Difference Equations and Applications; téma přednášky/title of the talk "Spectral theory of discrete symplectic systems" (4. 7. 2018).
  • GA16-00611S
• 2018/01/14 – 2018/01/20: Missouri University of Science and Technology, Rolla, Other programs, USA
  • Výzkumný pobyt za účelem rozšíření výsledků spektrální teorie pro diskrétní symplektické systémy. Součástí pobytu byla kolokviální přednáška na téma "On square integrable solutions and principal solutions for linear Hamiltonian systems" (19. 1. 2018). ---------------------------------------------------------- This research stay was focused on an extension of results of the spectral theory for discrete symplectic systems. The talk "On square integrable solutions and principal solutions for linear Hamiltonian systems" was given during the stay (19. 1. 2018).
  • GA16-00611S
• 2018/01/08 – 2018/01/13: USA
  • Joint Mathematics Meetings 2018; téma přednášky/title of the talk "On square integrable solutions and principal solutions for second order Sturm-Liouville dynamic equations" (10. & 13. 1. 2018).
  • GA16-00611S
• 2017/09/10 – 2017/09/15: HRV
  • The Fifth Najman Conference on Spectral Theory and Differential Equations; téma přednášky/title of the talk "On square integrable solutions and principal solutions for linear Hamiltonian systems" (12. 9. 2017).
  • GA16-00611S
• 2017/07/23 – 2017/07/28: Slovak University of Technology in Bratislava, Bratislava, SVK
  • EQUADIFF 2017; téma přednášky/title of the talk "Discrete symplectic system and self-adjoint extensions" (27. 7. 2017).
  • GA16-00611S
• 2016/07/23 – 2016/07/30: Osaka Prefecture University, Osaka, JPN
  • The 22nd International Conference on Difference Equations and Applications; téma přednášky/title of the talk "Self-adjoint extensions of minimal linear relation associated with discrete symplectic system " (25. 7. 2016).
• 2015/05/17 – 2015/05/23: Military Academy, Amadora, PRT
  • International Conference on Differential & Difference Equations and Applications 2015; téma přednášky/title of the talk "Symplectic systems with analytic dependence on spectral parameter " (19. 5. 2015).
  • CZ.1.07/2.3.00/30.0009
• 2014/08/03 – 2014/09/07: Missouri University of Science and Technology, Rolla, Other programs, USA
  • Výzkumný pobyt za účelem rozšíření výsledků spektrální teorie pro diskrétní symplektické systémy. Součástí pobytu bylo vystoupení na semináři "Time Scales Seminar" s přednáškou na téma "On square integrable solutions for time scale symplectic system" (27. 8. 2014). ---------------------------------------------------------- This research stay was focused on an extension of results of the spectral theory for discrete symplectic systems. The talk "On square integrable solutions for time scale symplectic system" was given during the stay (27. 8. 2014).
  • CZ.1.07/2.3.00/30.0009
• 2014/05/20 – 2014/05/25: Izmir University of Economics, Izmir, TUR
  • The 2014 Progress on Difference Equations; téma přednášky/title of the talk "Weyl alternative and symplectic systems" (21. 5. 2014).
  • CZ.1.07/2.3.00/30.0009
• 2013/09/15 – 2013/09/21: University of Zagreb, Zagreb, HRV
  • The Third Najman Conference on Spectral Problems for Operators and Matrices; téma přednášky/title of the talk "Weyl-Titchmarsh theory for discrete symplectic systems" (20. 9. 2013).
  • CZ.1.07/2.3.00/30.0009
• 2013/05/25 – 2013/06/01: Sultan Qaboos University, Muscat, OMN
  • 19th International Conference on Difference Equations and Applications (ICDEA2013); téma přednášky/title of the talk "Weyl-Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter" (27. 5. 2013).
  • CZ.1.07/2.3.00/30.0009, GAP201/10/1032
• 2013/04/22 – 2013/05/24: University of Vienna, Vienna, Other programs, AUT
  • Výzkumný pobyt za účelem rozšíření výsledků teorie relativní oscilace pro diskrétní symplektické systémy. ---------------------------------------------------------- This research stay was focused on an extension of results from the theory of relative oscillation for discrete symplectic systems.
  • CZ.1.07/2.3.00/30.0009
• 2012/10/07 – 2012/11/10: Missouri University of Science and Technology, Rolla, Other programs, USA
  • Výzkumný pobyt za účelem rozšíření výsledků spektrální teorie pro diskrétní symplektické systémy. Součástí pobytu bylo vystoupení na semináři "Time Scales Seminar" s přednáškou na téma "Friedrichs extension of operators defined by even order Sturm-Liouville equations on time scales" (17. 10. 2012). ---------------------------------------------------------- This research stay was focused on an extension of results from the spectral theory for discrete symplectic systems. The talk with the topic "Friedrichs extension of operators defined by even order Sturm-Liouville equations on time scales" was given during the stay (17. 10. 2012).
  • CZ.1.07/2.3.00/30.0009
• 2012/08/26 – 2012/08/31: Graz University of Technology, Graz, AUT
  • The Workshop on Spectral Theory and Differential Operators; téma přednášky/title of the talk "Friedrichs extension for operators associated with symplectic systems (and their special cases)" (27. 8. 2012).
  • CZ.1.07/2.3.00/30.0009, GAP201/10/1032
• 2012/06/25 – 2012/06/29: University of Žilina in Žilina, Žilina, SVK
  • Conference on Differential and Difference Equations and Applications 2012 (CDDEA2012); téma přednášky/title of the talk "Rofe-Beketov formula for symplectic systems" (26. 6. 2012).
• 2011/06/27 – 2011/07/01: The Bolyai Institute of the University of Szeged, Szeged, HUN
  • 9th Colloquium on the Qualitative Theory of Differential Equations (9QTDE); téma přednášky/title of the talk "New results in theory of Friedrichs extension" (28. 6. 2011).
• 2010/07/18 – 2010/07/24: University of Latvia, Riga, LVA
  • The 16th International Conference on Difference Equations and Applications (ICDEA2010); téma přednášky/title of the talk "On Weyl-Titchmarsh theory for dynamic symplectic systems on time scales" (22. 7. 2010).
• 2010/06/21 – 2010/06/25: University of Žilina in Žilina, Žilina, SVK
  • Conference on Differential and Difference Equations and Applications 2010 (CDDEA2010); téma přednášky/title of the talk "On Weyl-Titchmarsh theory for dynamic symplectic systems on time scales" (22. 6. 2010).
• 2010/05/25 – 2010/05/28: Dresden University of Technology, Dresden, DEU
  • The 8th AIMS Conference on Dynamical Systems, Differential Equations and Applications; téma přednášky/title of the talk "Krein-von Neumann and Friedrichs extensions for second order operators on time scales" (27. 5. 2010).
• 2009/10/19 – 2009/10/23: Technical University of Lisbon, Lisbon, PRT
  • The 15th International Conference on Difference Equations and Applications (ICDEA09); téma přednášky/title of the talk "Friedrichs extension of operators defined by linear Hamiltonian systems on infinite interval" (19. 10. 2009).
• 2009/04/01 – 2009/05/04: Missouri University of Science and Technology, Rolla, Freemover, USA
  • Studijní pobyt za účelem studia spektrálních vlastností diskrétních symplektických systémů. Součástí pobytu bylo vystoupení na semináři "Time Scales Seminar" s přednáškou na téma "Trigonometric and hyperbolic systems on time scales" (8. 4. 2009). ---------------------------------------------------------- This academical stay was focused on the study of spectral properties of the discrete symplectic systems. The talk with the topic "Trigonometric and hyperbolic systems on time scales" was given during the stay (8. 4. 2009).
• 2008/07/21 – 2008/07/25: Bahcesehir University, Istanbul, TUR
  • The fourteenth International Conference on Difference Equations and Applications (ICDEA2008); téma přednášky/title of the talk "Trigonometric and hyperbolic systems on time scales" (25. 7. 2008).
• 2008/03/07 – 2008/06/02: Ulm University, Ulm, DEU
  • Studijní pobyt za účelem studia spektrálních vlastností lineárních Hamiltonovských systémů. Součástí pobytu bylo vystoupení na semináři "Forschungsseminar" s přednáškou na téma "Trigonometric and hyperbolic systems on time scales" (19. 5. 2008). -------------------------------------------------------- This academical stay was focused on the study of spectral properties of the linear differential Hamiltonian systems and was financed from the ERASMUS schlarship. The talk with the topic "Trigonometric and hyperbolic systems on time scales" was given during the stay (19. 5. 2008).

Other academic activities, research projects, grants

• October 2011 – August 2017, the member of the Academic Senate of the Faculty of Science MU

Non-university activities

• since 2017, member of American Mathematical Society
• since 2017, member of Union of Czech Mathematicians and Physicists & Czech Mathematical Society
• since 2011, reviewer for MathSciNet (American Mathematical Society)
• since 2011, reviewer for Zentralblatt MATH (Springer)
• since 2008, the member of ISDE (International Society of Difference Equations)

Awards Related to Science and Research

• 2012: The Prize of the Dean of the Faculty of Science, Masaryk University, for the outstanding doctoral dissertation
• 2010: The Prize of the Dean of the Faculty of Science, Masaryk University, for excellent study results and success in the research

Major publications

• ZEMÁNEK, Petr. Optimalizace aneb když méně je více. 2021. URL info
• ZEMÁNEK, Petr, Jana ZUZAŇÁKOVÁ a Markéta ZOUBKOVÁ. Sbírka řešených příkladů z matematického programování. 2021. URL info
• ZEMÁNEK, Petr. Eigenfunctions expansion for discrete symplectic systems with general linear dependence on spectral parameter. Journal of Mathematical Analysis and Applications. Elsevier, 2021, roč. 499, č. 2, s. "125054", 37 s. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2021.125054. URL info
• ZEMÁNEK, Petr. Linear operators associated with differential and difference systems: What is different? In Steve BaigentMartin BohnerSaber Elaydi. Progress on Difference Equations and Discrete Dynamical Systems. ICDEA 2019. Springer Proceedings in Mathematics & Statistics, vol 341. Cham: Springer, 2020, s. 435-448. ISBN 978-3-030-60106-5. Dostupné z: https://dx.doi.org/10.1007/978-3-030-60107-2_25. URL info
• ŠIMON HILSCHER, Roman a Petr ZEMÁNEK. On square integrable solutions and principal and antiprincipal solutions for linear Hamiltonian systems. Annali di Matematica Pura ed Applicata. Series IV. Berlin: Springer, 2018, roč. 197, č. 1, s. 283-306. ISSN 0373-3114. Dostupné z: https://dx.doi.org/10.1007/s10231-017-0679-7. URL info
• ZEMÁNEK, Petr. Limit point criteria for second order Sturm-Liouville equations on time scales. In S. Pinelas, Z. Došlá, O. Došlý, P. E. Kloeden. Differential and Difference Equations with Applications. NEW YORK: Springer, 2016, s. 331-338. ISBN 978-3-319-32855-3. Dostupné z: https://dx.doi.org/10.1007/978-3-319-32857-7_31. info
• ZEMÁNEK, Petr a Stephen L. CLARK. Characterization of self-adjoint extensions for discrete symplectic systems. Journal of Mathematical Analysis and Applications. San Diego: Elsevier, 2016, roč. 440, č. 1, s. 323-350. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2016.03.028. info
• HASIL, Petr a Petr ZEMÁNEK. Sbírka řešených příkladů z matematické analýzy II. Masarykova univerzita, 2016. URL info
• CLARK, Stephen L. a Petr ZEMÁNEK. On discrete symplectic systems: associated maximal and minimal linear relations and nonhomogeneous problems. Journal of Mathematical Analysis and Applications. Elsevier, 2015, roč. 421, č. 1, s. 779-805. ISSN 0022-247X. Dostupné z: https://dx.doi.org/10.1016/j.jmaa.2014.07.015. info
• ŠIMON HILSCHER, Roman a Petr ZEMÁNEK. Time scale symplectic systems with analytic dependence on spectral parameter. Journal of Difference Equations and Applications. London: Taylor and Francis, 2015, roč. 21, č. 3, s. 209-239. ISSN 1023-6198. Dostupné z: https://dx.doi.org/10.1080/10236198.2014.997227. info
• ŠIMON HILSCHER, Roman a Petr ZEMÁNEK. Weyl-Titchmarsh theory for discrete symplectic systems with general linear dependence on spectral parameter. Journal of Difference Equations and Applications. Taylor and Francis, 2014, roč. 20, č. 1, s. 84-117. ISSN 1023-6198. Dostupné z: https://dx.doi.org/10.1080/10236198.2013.813496. info
• ZEMÁNEK, Petr a Petr HASIL. Sbírka řešených příkladů z matematické analýzy I. 3., aktual. vyd. Brno: Masarykova univerzita, 2012. Elportál. ISBN 978-80-210-5882-8. url PURL info
• DOŠLÝ, Ondřej a Petr ZEMÁNEK. Integrální počet v R. 1. vydání. Brno: Masarykova univerzita, 2011, 222 s. ISBN 978-80-210-5635-0. info

2018/10/17