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Assoc. Prof. RNDr. Martin Čadek, CSc.

 

• RNDr. Martin Čadek, CSc
  born December 19, 1957, Praque
  married, 3 children

• Faculty of Science
  Department of Algebra and Geometry
  Janáčkovo nám. 2a
  662 95 Brno
  Czech Republic

• Associated Professor

• 1977-1982 study of mathematics at the Charles University in Praque
• 1987 - the CSc. degree (PhD) at Masaryk University of Brno - thesis "Pointwise transformations of linear differential equations"
• 2000 - Associated Professor at Masaryk university of Brno - thesis "Structures in vector bundles over 8-manifolds"

• 1987 - 1996 Research worker at the Institute of Mathematics of the Academy of Sciences in Brno
• 1996 - 2000 Assistant Professor at the Department of Algebra and Geometry, Faculty of Science, Masaryk University of Brno
• since 2000 - Associated Professor at the Department of Algebra and Geometry, Faculty of Science, Masaryk University of Brno

• Linear algebra, algebraic topology.
• MSc.-thesis supervised in algebraic topology.

• My diploma thesis concerned nonlinear functional analysis. My first papers were devoted to linear differential equations and functional equations. Since 1990 the main area of my interest has been algebraic topology. I have dealt with the existence of various structures in vector bundles and the characterisation of low dimensional vector bundles over CW-complexes of dimension less than 10. Now I am moreover interested in the ring structure of integer cohomology and K-theory of homogeneous and classifying spaces.

• 1986 - Banach Center in Warsaw (1 month) - studying stay.
• 1988 - Institute of Mathematics, Minsk (half of a month) - studying stay.
• 1995 - Ecole Polytechnique, Paris (half of a month) - studying stay.
• 2000 - University of Aberdeen, (1 month) - research stay supported by the London Mathematical Society.

• Member of the Union of Czech Mathematicians and Physicists
• Member of the Brno Region Committee for Mathematical Olympiad

• Member of the Committee of the Scienticic Section of the Union of Czech Mathematicians and Physisists.
• Member of the Organizing Committees of international Winter Schools Geometry and Physics held every year in the Czech Republic and one of the editors of their Proceedings.

• ČADEK, Martin a Marek KRČÁL a Jiří MATOUŠEK a Francis SERGERAERT a Lukáš VOKŘÍNEK a Uli WAGNER. Computing maps into a sphere. In Yuval Rabani. Proceedings of the Twenty-Third Annual ACM-SIAM Symposium on Discrete Algorithms, Kyoto, Japan, January 17-19, 2012. Philadelphia, USA: Society for Industrial and Applied Mathematics, 2011. od s. 1-10, 10 s. ISBN 978-1-61197-211-5. URL info
• ČADEK, Martin a Michael CRABB a Jiří VANŽURA. Quaternionic structures. Topology and its Applications, 157 (2010, 15, od s. 2850-2863, 14 s. ISSN 0166-8641. 2010. URL info
• ČADEK, Martin a Michael CRABB a Jiří VANŽURA. Obstruction theory on 8-manifolds. Manuscripta Mathematica, 127(2008), 2, od s. 167-186, 20 s. ISSN 0025-2611. 2008. URL info
• ČADEK, Martin a Michael CRABB. G-structures on spheres. Proceedings of the London mathematical society, Cambridge: Cambridge University Press, 93 (2006), 3, od s. 791-816, 26 s. ISSN 0024-6115. 2006. URL info
• ČADEK, Martin a Jiří VANŽURA a Mamoru MIMURA. The cohomology rings of Stiefel manifolds with integer coefficients. Journal of Mathematics of Kyoto University, Kyoto (Japonsko), 43, 2s. 425-442. ISSN 0023-608X. 2003. URL info
• ČADEK, Martin. The cohomology rings of BO(n) with twisted integer coefficients. Journal of Mathematics of Kyoto University, Kyoto (Japonsko), 39, 2s. 277-286. ISSN 0023-608X. 1999. URL info
• ČADEK, Martin a Jiří VANŽURA. On 4-fields and 4-distributions in 8-dimensional vector bundles over 8-complexes. Colloquium Mathematicum, roč. 76, 2s. 213-228. ISSN 0010-1354. 1998. URL info
• ČADEK, Martin a Jiří VANŽURA. Almost quaternionic structures on eight-manifolds. Osaka Journal of Mathematics, 35, 1s. 165-190. ISSN 0030-6126. 1998. URL info
• ČADEK, Martin a Jiří VANŽURA. On complex structures in 8-dimensional vector bundles. Manuscripta Mathematica, roč. 95, 3s. 323-330. ISSN 0025-2611. 1998. URL info
• ČADEK, Martin a Jiří VANŽURA. Various structures in 8-dimensional vector bundles over 8-manifolds. In Homotopy and Geometry. Warszawa (Poland): Institute of Mathematics, Polish Academy of Sciences, 1998. s. 183-197. Banach Center Publications, vol. 45. URL info
• ČADEK, Martin a Jiří VANŽURA. On Sp(2) and Sp(2).Sp(1)-structures in 8-dimensional vector bundles. Publicacions Matemátiques, 41, 2s. 383-401. ISSN 0214-1493. 1997. URL info
• ČADEK, Martin a Jiří VANŽURA. On the classification of oriented vector bundles over 9-complexes. Supplemento ai Rendiconti del Circolo Matematico di Palermo,Serie II, Palermo (Italy), 37, 1s. 33-40. ISSN 0009-725X. 1994. URL info
• ČADEK, Martin a Jiří VANŽURA. Classification of oriented vector bundles over 5-complexes. Czechoslovak Math. J., Prague, 43 (118), 4s. 753-764. ISSN 0011-4642. 1993. URL info
• ČADEK, Martin a Jaromír ŠIMŠA. Decomposition of smooth functions of two multidimensional variables. Czechoslovak Math. J., Prague, 41 (116)s. 342-358. ISSN 0011-4642. 1991.  info
• ČADEK, Martin a Jaromír ŠIMŠA. Decomposable functions of two multidimensional variables. Aequationes Mathematicae, 40s. 8-25. ISSN 00019054/90/. 1990.  info

Last update: 2001/12/03