Information in English

I am currently (from 2003/2/24) employed at The Institute of Theoretical Physics and Astrophysics of the Masaryk University in Brno.

Contact

Permanent Address:

Institute of Theoretical Physics and Astrophysics
Faculty of Science
Masaryk University
Kotlářská 2 (TeX syntax: Kotl\'a\v{r}sk\'a 2)
611 37 Brno
Fax: +420-5-41 21 12 14

E-mail:

krbek@physics.muni.cz

Records in University Information System:

UCO 7686

Office:

The Physics Section building, 2nd floor, door Nr. 03027

Department:

Institute of Theoretical Physics and Astrophysics of the Physics Section

Office phone:

00420 5 41 12 94 50

Mobile phone:

00420 603 56 91 38

Skype:

hrb187

Research

My research interests are in the field of global analysis on manifolds namely in the calculus of variations developed on finite jet prolongations of fibered manifolds. I have also studied to Clifford algebras and modules and their representation theory. Lately, I have shifted my interests to mathematical problems in quantum optics.

Publications

1. KRBEK, Michael, Tomáš TYC and Jan VLACH. Inequalities for quantum marginal problems with continuous variables. Journal of Mathematical Physics. USA: American Institute of Physics, 2014, vol. 55, No 6, p. 1-7. ISSN 0022-2488. doi:10.1063/1.4880198
2. Krbek, Michael - Musilová, Jana. Representation of the variational sequence by differential forms. Reports on Mathematical Physics, 51, 2/3, 251-258 ISSN 00344877. 2003. GA201/03/0512, projekt VaV. MSM 143100006
3. Krbek, Michael - Musilová, Jana - Kašparová, Jana. Representation of the variational sequence in field theory. In Proc. Colloq. Diff. Geometry. 1. vyd. Debrecen, Hungary : University of Deberecen, 2001. p. 147-306. GA201/00/0724, projekt VaV. VS96003, projekt VaV.
4. Krbek, Michael - Musilova, Jana - Kasparova, Jana. The variational sequence: Local and global properties (The variational sequence: Local and global properties). 1. vyd. Opava : Slezska Universita, 2000. 25 pp. Proceedings of the Seminar on Global Analysis. GA201/00/0724, projekt VaV. VS96003, projekt VaV.
5. Musilová, Jana - Krbek, Michael. A note to the representation of the variational sequence in mechanics (A note to the representation of the variational sequence in mechanics). Brno : Masaryk University, 1999. 13 pp. ISBN 80-210-2097-0. GA201/98/0853, projekt VaV. VS96003, projekt VaV.

Preprints

• Proceedings of the Colloquium on Differential Geometry, July 25-30, 2000, Debrecen, Hungary: http://www.emis.de/proceedings/CDGD2000/pdf/K_Krbek.pdf
• Further preprints at the Mathematical Institute of the Silesian University at Opava.
• Poster from the 34th Symposium on Mathematical Physics, June 14-18, 2002, Torun, Poland
• My PhD Thesis as PDF and PS (cover and first page separately as PDF and PS)

Teaching

• Mechanics and molecular physics, instructor (autumn 1999, autumn 2000, autumn 2001, autumn 2003, autumn 2004, autumn 2006, autumn 2007)
• Linear and multilinear algebra, instructor (spring 2000, spring 2002, spring 2003, spring 2004, spring 2005, spring 2006, spring 2007)
• Integration of Forms, instructor (autumn 1999, autumn 2000)
• Function of Complex Variable, instructor (autumn 2001)
• Electricity and Magnetism, instructor (spring 2003) - Faculty of Mechanical Engineering, Brno University of Technology
• Linear Algebra 1, instructor (autumn 2003)
• Mathematical Analysis 1, instructor (autumn 2003)
• Geometric Algebra, seminar on Clifford algebras (autumn 2003)
• Mathematical Analysis 2, instructor (spring 2004)
• Electrodynamics and theory of relativity, instructor (spring 2004)
• Mathematical Analysis 3, instructor (autumn 2004)
• Equations of Mathematical Physics, instructor (spring 2005, spring 2006)
• Electrodynamics and Theory of Relativity, instructor (spring 2006)
• Quantum Electrodynamics, instructor (autumn 2006, autumn 2007)
• Linear Algebra and Geometry 1, instructor (autumn 2006, autumn 2007)
• Differential and Integral Calculus on Manifolds and its Applications in Physics, instructor (spring 2007)
• Geometrical Methods in Physics 2, instructor (spring 2008) - Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University Prague
• see records in the Information System of Masaryk University for later teaching activities