|Professor Dušan Repovš|
Dušan Repovš in 2006
(photo from MFO)
November 30, 1954 |
Ljubljana, SR Slovenia
|Alma mater||Florida State University
University of Ljubljana
He graduated in 1977 from the University of Ljubljana with a thesis on the Borsuk shape theory. He obtained his Ph.D. in 1983 at the Florida State University with a dissertation on generalized 3-manifolds with 0-dimensional singular set. During his studies at the University of Ljubljana he had a fellowship from the Research Agency of Slovenia, and he went to the United States with a Fulbright grant.
In 1993 he was promoted to a Professor of Geometry and Topology at the University of Ljubljana. He is employed at the Faculty of Mathematics and Physics, as well as at the Faculty of Education, where he is the Head of the Chair for Geometry and Topology. Since 1983 he has also been the Head of the Slovenian Topology and Geometry Group at the Institute of Mathematics, Physics and Mechanics in Ljubljana, and has since then directed numerous national and international research grants (among others with United States, Japan, Russian Federation, France, Italy, Spain, Israel, Poland, Hungary, and others). The Slovenian Research Agency has selected his group among the best research program groups in Slovenia for 2005.
Professor Repovš is the leading Slovenian topologist and is one of the best known mathematicians from Slovenia abroad. He has published over 270 research papers and has given numerous invited talks at various international conferences and universities around the world. His research is mainly in the area of geometric topology. Among his best known results are the solution of the classical recognition problem for 3-manifolds (with Robert J. Daverman) and the proof of the 4-dimensional Cellularity Criterion. In 1998 he published (with Pavel V. Semenov) the first monograph entirely dedicated to the theory of continuous selections of multivalued mappings (Kluwer). In 2001 he published (with Matija Cencelj) a university textbook on topology in Slovenian.
For his outstanding research he was awarded in 2009 the Bogolyubov Memorial Medal by the Ukrainian Mathematical Congress in Kiev and in 1997 he was awarded the Prize of the Republic of Slovenia for Research (now called the Zois Prize) from the Slovenian government. For his promotion of the Slovenian science abroad he received in 1995 the title of the Ambassador for Science of the Republic of Slovenia. He is a member of the New York Academy of Sciences, the American Mathematical Society, the European Mathematical Society, the London Mathematical Society, the Mathematical Society of Japan, the Moscow Mathematical Society, the French Mathematical Society, the Swiss Mathematical Society, and others. He is also a member of the Slovenian Engineering Academy.
- R. J. Daverman and D. Repovš, A new 3-dimensional shrinking criterion, Trans. Amer. Math. Soc. 315:1 (1989), 219-230.
- D. Repovš, A criterion for cellularity in a topological 4-manifold, Proc. Amer. Math. Soc. 100:3 (1987), 564-566.
- D. Repovš and P. V. Semenov, Continuous Selections of Multivalued Mappings, Kluwer Academic Publishers, Dordrecht 1998.
- M. Cencelj and D. Repovš, Topology (in Slovenian), Faculty of Education, University of Ljubljana, 2001.