Nicolas Monod

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Nicola Monod

Nicolas Monod (born November 29, 1973 in Montreux ) is a Swiss mathematician .

Monod grew up in Montreux and studied at the ETH Zurich , where he received his doctorate from Marc Burger in 2001 (Continuous Bounded Cohomology of Locally Compact Groups) and received the ETH Medal for this. As a post-doctoral student he was a Dickson Instructor at the University of Chicago until 2004 , where he became an Assistant Professor in 2004. In 2005 he became professor at the University of Geneva and in 2008 at the École polytechnique fédérale de Lausanne . In 2014 he became director of the Bernoulli Center. He is an Advanced Investigator for the European Research Council.

Monod deals with geometric group theory and geometry (including Cat (0) spaces , where he made significant progress in 2009 with Pierre-Emmanuel Caprace ). In 2013 he gave simple counterexamples to the Von Neumann Conjecture (whether the existence of free subgroups are a prerequisite for paradoxical decompositions of the Banach-Tarski type ). This corresponds to the question of the existence of non-indirect (non-amenable) groups with free sub-groups. Alexander Olschanski (Olshanskii) and Sergei Ivanovich Adjan gave more complicated examples as early as the early 1980s .

In 2014/15 he was President of the Swiss Mathematical Society .

In 2016 he gave the Gauss lecture on the Banach-Tarski Paradox . He is a Fellow of the American Mathematical Society , was plenary speaker at its general assembly, and was invited speaker at the 2006 International Congress of Mathematicians in Madrid (An invitation to bounded cohomology). In 2015 he received the Berwick Prize .

He is co-editor of L´Enseignement Mathématique , Groups, Geometry and Dynamics , Journal of Topology and Analysis and Commentarii Mathematici Helvetici .

Fonts

  • Continuous bounded cohomology of locally compact groups, Lecture Notes in Mathematics 1758, Springer 2001
  • with Burger: Continuous bounded cohomology and applications to rigidity theory, GAFA, Volume 12, 2002, pp. 219-280
  • Superrigidity for irreducible lattices and geometric splitting, Journal of the American Mathematical Society, Volume 19, 2006, pp. 781-814, Arxiv
  • with Yehuda Shalom: Orbit equivalence rigidity and bounded cohomology, Annals of Mathematics, Volume 164, 2006, pp. 825-878, Arxiv
  • with U. Bader, A. Furman, T. Gelander: Property (T) and rigidity for actions on Banach spaces, Acta Mathematica, Volume 198, 2007, pp. 57-105, Arxiv
  • with Alex Furman: Product group actions on manifolds, Duke Mathematical Journal, Volume 148, 2009, pp. 1–39, Arxiv
  • with Pierre-Emmanuel Caprace : Isometry groups of non-positively curved spaces, Part 1, Structure theory, Part 2, Discrete subgroups, Journal of Topology, Volume 2, 2009, pp. 661–700, 701–746, Arxiv , Arxiv, Part 2
  • with Naturtaka Ozawa : The Dixmier problem, lamplighters and Burnside groups, Journal of Functional Analysis, Volume 258, 2010, pp. 255-259, Arxiv
  • On the bounded cohomology of semi-simple groups, S-arithmetic groups and products, Journal für Reine und Angewandte Mathematik, Volume 640, 2010, pp. 167-202, Arxiv
  • with Michelle Bucher: The norm of the Euler class, Mathematische Annalen, Volume 353, 2012, pp. 523–544, Arxiv
  • with U. Bader, T. Gelander: A fixed point theorem for spaces, Inventiones Mathematicae, Volume 189, 2012, pp. 143-148, Arxiv
  • with Kate Juschenko: Cantor systems, piecewise translations and simple amenable groups, Annals of Mathematics, Volume 178, No. 2, 2013
  • Groups of piecewise projective homeomorphisms, Proc. Nat. Acad. Sci., Vol. 110, 2013, pp. 4527-4527

Web links

Individual evidence

  1. ↑ Nicolas Monod in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ^ Monod, Groups of piecewise projective homeomorphisms, PNAS, 110, 2013, 4524, Online
personal data
SURNAME Monod, Nicolas
BRIEF DESCRIPTION Swiss mathematician
DATE OF BIRTH November 29, 1973
PLACE OF BIRTH Montreux