doc. RNDr. Martin Čadek, CSc.

Curriculum vitae

Person Identification

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

Workplace

• Faculty of Science
  Department of Mathematics and Statistics
  Kotlářská 2
  611 37 Brno
  Czech Republic

Employment Position

• Associated Professor

Education and Academic Qualifications

• 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"

Employment Summary

• 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

Pedagogical Activities

• Linear algebra, algebraic topology, algebraic geometry, functional analysis, computational geometry.
• MSc.-thesis supervised in algebraic topology, linaer algebra, computational geometry.

Scientific and Research Activities

• 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 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. Moreover I was interested in the ring structure of integer cohomology and K-theory of homogeneous and classifying spaces. In the last years I have been involved in the research concerning algorithmic solvability of problems in homotopy theory.

Academical Stays

• 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.

University Activities

• The chair of Academic Senat of the Faculty of Science of Masaryk University in years 2005-2008.

Extrauniversity Activities

• Member of the Union of Czech Mathematicians and Physicists

Appreciation of Science Community

• 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.
• Best Paper Award at the conference SODA 2012 together with 5 coauthors

Selected Publications

• ČADEK, Martin, Marek KRČÁL a Lukáš VOKŘÍNEK. Algorithmic Solvability of the Lifting Extension Problem. Discrete & Computational Geometry. New York: Springer, 2017, roč. 57, č. 4, s. 915-965. ISSN 0179-5376. Dostupné z: https://dx.doi.org/10.1007/s00454-016-9855-6. URL info
• ČADEK, Martin, Marek KRČÁL, Jiří MATOUŠEK, Lukáš VOKŘÍNEK, Uli WAGNER a Francis SERGEREART. Computing All Maps into a Sphere. Journal of the ACM. 2014, roč. 61, č. 3, s. "neuvedeno", 44 s. ISSN 0004-5411. Dostupné z: https://dx.doi.org/10.1145/2597629. URL info
• ČADEK, Martin, Marek KRČÁL, Jiří MATOUŠEK, Lukáš VOKŘÍNEK a Uli WAGNER. Polynomial-Time Computation of Homotopy Groups and Postnikov Systems in Fixed Dimension. SIAM Journal on Computing. USA: SIAM, 2014, roč. 43, č. 5, s. 1728-1780. ISSN 0097-5397. Dostupné z: https://dx.doi.org/10.1137/120899029. URL info
• ČADEK, Martin, Marek KRČÁL, Jiří MATOUŠEK, Lukáš VOKŘÍNEK a Uli WAGNER. Extending Continuous Maps: Polynomiality and Undecibility. In Joan Feigenbaum. Proceedings of the 45th annual ACM symposium on Symposium on theory of computing. New York, USA: Association for Computing Machinery, 2013, s. 595-604. ISBN 978-1-4503-2029-0. Dostupné z: https://dx.doi.org/10.1145/2488608.2488683. URL info
• ČADEK, Martin, Marek KRČÁL, Jiří MATOUŠEK, Francis SERGERAERT, 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, 2012, s. 1-10. ISBN 978-1-4503-1245-5. URL info
• ČADEK, Martin, Michael CRABB a Jiří VANŽURA. Quaternionic structures. Topology and its Applications. 2010, roč. 157 (2010, č. 15, s. 2850-2863. ISSN 0166-8641. URL info
• ČADEK, Martin, Michael CRABB a Jiří VANŽURA. Obstruction theory on 8-manifolds. Manuscripta Mathematica. 2008, roč. 127(2008), č. 2, s. 167-186. ISSN 0025-2611. URL info
• ČADEK, Martin a Michael CRABB. G-structures on spheres. Proceedings of the London mathematical society. Cambridge: Cambridge University Press, 2006, roč. 93 (2006), č. 3, s. 791-816. ISSN 0024-6115. URL info
• ČADEK, Martin, Jiří VANŽURA a Mamoru MIMURA. The cohomology rings of Stiefel manifolds with integer coefficients. Journal of Mathematics of Kyoto University. Kyoto (Japonsko), 2003, roč. 43, č. 2, s. 425-442. ISSN 0023-608X. URL info
• ČADEK, Martin. The cohomology rings of BO(n) with twisted integer coefficients. Journal of Mathematics of Kyoto University. Kyoto (Japonsko), 1999, roč. 39, č. 2, s. 277-286. ISSN 0023-608X. URL info
• ČADEK, Martin a Jiří VANŽURA. On 4-fields and 4-distributions in 8-dimensional vector bundles over 8-complexes. Colloquium Mathematicum. 1998, roč. 76, č. 2, s. 213-228. ISSN 0010-1354. URL info
• ČADEK, Martin a Jiří VANŽURA. Almost quaternionic structures on eight-manifolds. Osaka Journal of Mathematics. 1998, roč. 35, č. 1, s. 165-190. ISSN 0030-6126. URL info
• ČADEK, Martin a Jiří VANŽURA. On complex structures in 8-dimensional vector bundles. Manuscripta Mathematica. 1998, roč. 95, č. 3, s. 323-330. ISSN 0025-2611. 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. 1997, roč. 41, č. 2, s. 383-401. ISSN 0214-1493. 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), 1994, roč. 37, č. 1, s. 33-40. ISSN 0009-725X. URL info
• ČADEK, Martin a Jiří VANŽURA. Classification of oriented vector bundles over 5-complexes. Czechoslovak Math. J. Prague, 1993, roč. 43 (118), č. 4, s. 753-764. ISSN 0011-4642. URL info
• ČADEK, Martin a Jaromír ŠIMŠA. Decomposition of smooth functions of two multidimensional variables. Czechoslovak Math. J. Prague, 1991, roč. 41 (116), s. 342-358. ISSN 0011-4642. info
• ČADEK, Martin a Jaromír ŠIMŠA. Decomposable functions of two multidimensional variables. Aequationes Mathematicae. 1990, roč. 40, s. 8-25. ISSN 00019054/90/. info

2017/08/15