Arthur Bartels (mathematician)

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Arthur Bartels (born October 12, 1971 in Tübingen ) is a German mathematician.

After graduating from high school in Wiesbaden and doing civilian service, Bartels studied mathematics at the University of Mainz and the University of Manchester from 1992 with a diploma in Mainz under Matthias Kreck (Morse theory and fiber bundle above the circle). He received his PhD in 1999 with Peter Teichner at the University of California, San Diego (Link homotopy in codimension 2). As a post-doctoral student he was at the University of Münster , where he completed his habilitation in 2005 and was an assistant. In 2007 he became a lecturer at Imperial College London and in 2008 professor at the University of Münster.

Bartels deals with topology, including the Farrell - Jones conjecture about the algebraic structure of the K and L theory of group rings, which he proved in special cases with colleagues (mapping class groups with Mladen Bestvina , hyperbolic groups and CAT (0) groups with Wolfgang Lück and Holger Reich ).

He is invited speaker at the International Congress of Mathematicians in Rio de Janeiro 2018 (K-theory and actions on Euclidean retracts).

Fonts

  • with Tom Farrell, Lowell Jones, Holger Reich: On the isomorphism conjecture in algebraic K-theory, Topology, Volume 43, 2004, pp. 157-213, Arxiv
  • Topological rigidity and group rings, Mitteilungen DMV, Volume 7, 2009, pp. 76–83, pdf
  • with Mladen Bestvina : The Farrell-Jones Conjecture for mapping class groups, Arxiv
  • with Wolfgang Lück : The Borel Conjecture for hyperbolic and CAT (0) -groups, Annals of Mathematics, Volume 175, 2012, pp. 631–689, Arxiv
  • On proofs of the Farrell-Jones conjecture, Arxiv 2012
  • with Wolfgang Lück, Holger Reich: On the Farrell-Jones Conjecture and its applications, Journal of Topology, Volume 1, 2008, pp. 57–86, Arxiv 2007
  • with Wolfgang Lück, Holger Reich: The K-theoretic Farrell-Jones Conjecture for hyperbolic groups, Inventiones Mathematicae, Volume 172, 2008, pp. 29–70, Arxiv 2007

Web links

Individual evidence

  1. ↑ Arxiv
personal data
SURNAME Bartels, Arthur
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH October 12, 1971
PLACE OF BIRTH Tübingen