Dušan REPOVŠ

Professor Repovš is the leading expert on non-linear analysis and topology in Slovenia and is one of the best known Slovenian mathematicians. He has published four monographs with leading scientific publishers, over 450 research papers, and a university textbook. He has given over 400 invited talks at various international conferences and universities around the world. His research interests are in topological methods in non-linear analysis, applications of functional analysis, set-valued analysis, topology, and algebra. He became known already in the 1980s, notably for the solution of the classical recognition problem for 3-manifolds, for the proof of the 4-dimensional Cellularity Criterion, and the proof of the Lipschitz case of the classical Hilbert–Smith conjecture. He is most actively investigating partial differential equations and their applications. Since 1980 he has been leading the national non-linear analysis, topology, and geometry research group at the Institute of Mathematics, Physics, and Mechanics in Ljubljana. He serves on editorial boards of several important journals.

The Slovenian Research Agency has selected the national non-linear analysis, topology, and geometry research group, which Professor Repovš has been leading since 1980 at the Institute of Mathematics, Physics, and Mechanics in Ljubljana, among the best program groups in Slovenia. The picture shows his construction of wild Cantor sets - in this research area, his group leads the world.

1954 Born in Ljubljana, Slovenia

1977 BSc Mathematics, University of Ljubljana

1983 PhD Mathematics, Florida State University

1993 Full Professor, University of Ljubljana

1986–1987 Visiting Professor, University of Texas, Austin, USA

1988–1997 Visiting Scientist, Steklov Mathematical Institute, Moscow, Russia

1992 Visiting Professor, University of Nantes, France

1998, 2001 JSPS Senior Scientist, University of Tokyo, Japan

1992–2012 Visiting Professor, International Centre for Theoretical Physics, Trieste, Italy

Important Works

N. Papageorgiou, V. Radulescu, D. Repovš (2019) Nonlinear Analysis - Theory and Methods, Springer Monographs in Mathematics.

A. Cavicchioli, F. Hegenbarth, D. Repovš (2016) Higher-Dimensional Generalized Manifolds: Surgery and Constructions, European Mathematical Society.

V. Radulescu, D. Repovš (2015) Partial Differential Equations with Variable Exponents: Variational Methods and Qualitative Analysis, Chapman & Hall/CRC.

Selected Awards

1978 Fulbright Fellowship

1995 Steklov Mathematical Institute Citation

1995 Ambassador of the Republic of Slovenia for Science

1997 Zois Prize

2014 Doctor Honoris Causa

2017 election to European Academy of Arts and Sciences