Professor Dr. Arthur Bartels
Professor Dr. Arthur Bartels

Professur für Theoretische Mathematik (Prof. Bartels)

Einsteinstraße 62, Room 512
48149 Münster


Phone: +49 251 83-33745
Fax: +49 251 83-38370

a.bartels@uni-muenster.de
  • Teaching

     

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminar
    Übung

    Vorlesung
    Seminar

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminare
    Übungen

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminare
    Übung
    Kolloquium
    • Kolloquium: Seminar of the Research Training group [103304]
      (in cooperation with Prof. Dr. Raimar Wulkenhaar, Prof. Dr. Joachim Cuntz, Prof. Dr. Burkhard Wilking, Prof. Dr. Linus Kramer, Siegfried Bosch, Prof. Dr. Siegfried Echterhoff, Prof. Dr. Joachim Lohkamp, Falko Lorenz, Wolfgang Lück, Juergen Elstrodt, Helmut Hamm, Prof. Dr. Peter Schneider, Prof. Dr. Christopher Deninger, Ludwig Bröcker)

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminare
    • Seminar: Seminar Topologie [103452]
      (in cooperation with Clara Löh, apl. Prof. Michael Joachim)
    Kolloquium
    • Kolloquium: Seminar of the Research Training group [103304]
      (in cooperation with Prof. Dr. Raimar Wulkenhaar, Prof. Dr. Joachim Cuntz, Prof. Dr. Burkhard Wilking, Prof. Dr. Linus Kramer, Siegfried Bosch, Prof. Dr. Siegfried Echterhoff, Prof. Dr. Joachim Lohkamp, Falko Lorenz, Wolfgang Lück, Juergen Elstrodt, Helmut Hamm, Prof. Dr. Peter Schneider, Prof. Dr. Christopher Deninger, Ludwig Bröcker)

    Vorlesung
    Seminare
    Übung
    Kolloquium
    • Kolloquium: Seminar of the Research Training group [103488]
      (in cooperation with Prof. Dr. Raimar Wulkenhaar, Prof. Dr. Joachim Cuntz, Prof. Dr. Burkhard Wilking, Prof. Dr. Linus Kramer, Siegfried Bosch, Prof. Dr. Siegfried Echterhoff, Prof. Dr. Joachim Lohkamp, Falko Lorenz, Wolfgang Lück, Juergen Elstrodt, Helmut Hamm, Prof. Dr. Peter Schneider, Prof. Dr. Christopher Deninger, Ludwig Bröcker)

    Vorlesung
    Seminare
    Übung
    Kolloquium
    • Kolloquium: Seminar of the Research Training group [103412]
      (in cooperation with Prof. Dr. Raimar Wulkenhaar, Prof. Dr. Joachim Cuntz, Prof. Dr. Burkhard Wilking, Prof. Dr. Linus Kramer, Siegfried Bosch, Prof. Dr. Siegfried Echterhoff, Prof. Dr. Joachim Lohkamp, Falko Lorenz, Wolfgang Lück, Juergen Elstrodt, Helmut Hamm, Prof. Dr. Peter Schneider, Prof. Dr. Christopher Deninger, Ludwig Bröcker)

    Vorlesung
    Seminar
    Übung

    Vorlesung
    Seminar
    Übung
  • Publications

    • Bartels A, Bestvina M. . ‘The Farrell-Jones conjecture for mapping class groups.’ Invent. Math. 215, No. 2: 651-712. doi: 10.1007/s00222-018-0834-9.
    • Bartels A, Douglas CL, Henriques A. . ‘Fusion of defects.’ Mem. Amer. Math. Soc. 258, No. 1237: vii+100. doi: 10.1090/memo/1237.
    • Bartels A, Douglas CL, Henriques A. . ‘Conformal nets IV: The 3-category.’ Algebr. Geom. Topol. 18, No. 2: 897-956. doi: 10.2140/agt.2018.18.897.
    • Bartels A. . ‘Coarse flow spaces for relatively hyperbolic groups.’ Compos. Math. 153, No. 4: 745-779. doi: 10.1112/S0010437X16008216.
    • Bartels A, Douglas CL, Henriques A. . ‘Conformal nets II: Conformal blocks.’ Comm. Math. Phys. 354, No. 1: 393-458. doi: 10.1007/s00220-016-2814-5.
    • Bartels, Arthur. . ‘On proofs of the Farrell-Jones conjecture.’ In Topology and geometric group theory, edited by Springer, [Cham], 1-31. Springer, [Cham]. doi: 10.1007/978-3-319-43674-6_1.
    • Bartels A, Douglas CL, Henriques A. . ‘Conformal nets I: Coordinate-free nets.’ Int. Math. Res. Not. IMRN ?, No. 13: 4975-5052. doi: 10.1093/imrn/rnu080.
    • Bartels A, Farrell FT, Lück W. . ‘The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups.’ J. Amer. Math. Soc. 27, No. 2: 339-388. doi: 10.1090/S0894-0347-2014-00782-7.
    • Bartels A, Lück W, Reich H, Rüping H. . ‘K- and L-theory of group rings over GL_n(Z).’ Publ. Math. Inst. Hautes Études Sci. 119: 97-125. doi: 10.1007/s10240-013-0055-0.
    • Bartels A, Douglas CL, Henriques A. . ‘Dualizability and index of subfactors.’ Quantum Topol. 5, No. 3: 289-345. doi: 10.4171/QT/53.
    • Bartels A, Lück W. . ‘The Farrell-Hsiang method revisited.’ Mathematische Annalen 354, No. 1: 209-226. doi: 10.1007/s00208-011-0727-3.
    • Bartels A, Lück W. . ‘The Borel Conjecture for hyperbolic and CAT(0)-groups.’ Annals of Mathematics 175, No. 2: 631-689.
    • Bartels A, Lück W. . ‘Geodesic flow for CAT(0)-groups.’ Geometry and Topology 16, No. 3: 1345-1391. doi: 10.2140/gt.2012.16.1345.
    • Bartels A., Lück W., Weinberger S. . ‘On hyperbolic groups with spheres as boundary.’ Journal of Differential Geometry 86, No. 1: 1-16.
    • Bartels A, Lück W. . ‘On crossed product rings with twisted involutions, their module categories and L-theory.’ In Cohomology of groups and algebraic K-theory, edited by Lizhen Ji, Kefeng Liu, Shing-Tung Yau, 1--54. Int. Press, Somerville, MA.
    • Bartels A. . ‘Topologische Starrheit und Gruppenringe.’ Mitt. Dtsch. Math.-Ver. 17, No. 2: 80--86.
    • Bartels A, Lück W, Reich H. . ‘On the Farrell-Jones conjecture and its applications.’ J. Topol. 1, No. 1: 57--86. doi: 10.1112/jtopol/jtm008.
    • Bartels A, Lück W, Reich H. . ‘Equivariant covers for hyperbolic groups.’ Geom. Topol. 12, No. 3: 1799--1882. doi: 10.2140/gt.2008.12.1799.
    • Bartels A, Echterhoff S, Lück W. . ‘Inheritance of isomorphism conjectures under colimits.’ In K-theory and noncommutative geometry, edited by Cortiñas Guillermo, Cuntz Joachim, Karoubi Max, Nest Ryszard, Weibel Charles A., 41--70. Eur. Math. Soc., Zürich. doi: 10.4171/060-1/2.
    • Bartels A, Lück W, Reich H. . ‘The K-theoretic Farrell-Jones conjecture for hyperbolic groups.’ Invent. Math. 172, No. 1: 29-70.
    • Bartels A, Reich H. . ‘Coefficients for the Farrell-Jones conjecture.’ Adv. Math. 209, No. 1: 337--362. doi: 10.1016/j.aim.2006.05.005.
    • Bartels A, Lück W. . ‘Induction theorems and isomorphism conjectures for K- and L-theory.’ Forum Math. 19, No. 3: 379--406. doi: 10.1515/FORUM.2007.016.
    • Bartels A, Rosenthal D. . ‘On the K-theory of groups with finite asymptotic dimension.’ J. Reine Angew. Math. 612: 35--57. doi: 10.1515/CRELLE.2007.083.
    • Bartels A, Lück W. . ‘Isomorphism conjecture for homotopy K-theory and groups acting on trees.’ J. Pure Appl. Algebra 205, No. 3: 660--696. doi: 10.1016/j.jpaa.2005.07.020.
    • Bartels A, Reich H. . ‘On the Farrell-Jones conjecture for higher algebraic K-theory.’ J. Amer. Math. Soc. 18, No. 3: 501--545 (electronic). doi: 10.1090/S0894-0347-05-00482-0.
    • Bartels A, Farrell T, Jones L, Reich H. . ‘On the isomorphism conjecture in algebraic K-theory.’ Topology 43, No. 1: 157--213. doi: 10.1016/S0040-9383(03)00032-6.
    • Bartels AC. . ‘Squeezing and higher algebraic K-theory.’ K-Theory 28, No. 1: 19--37. doi: 10.1023/A:1024166521174.
    • Bartels AC. . ‘On the domain of the assembly map in algebraic K-theory.’ Algebr. Geom. Topol. 3: 1037--1050. doi: 10.2140/agt.2003.3.1037.
    • Bartels A, Farrell T, Jones L, Reich H. . ‘A foliated squeezing theorem for geometric modules.’ In High-dimensional manifold topology, 1--21. World Sci. Publ., River Edge, NJ. doi: 10.1142/9789812704443_0001.
    • Bartels A. . ‘Higher dimensional links are singular slice.’ Math. Ann. 320, No. 3: 547--576. doi: 10.1007/PL00004486.
    • Bartels A, Teichner P. . ‘All two-dimensional links are null homotopic.’ Geom. Topol. 3: 235--252 (electronic). doi: 10.2140/gt.1999.3.235.
  • Weiteres

    Papers

    Most of my preprints and publications can be found on the arXiv. Everything else is on the following list.

    • On crossed product rings with twisted involutions, their module categories and L-theory
      with W. Lück
      Cohomology of groups and algebraic K-theory, 1--54,
      Adv. Lect. Math. (ALM), 12, Int. Press, Somerville, MA, 2010.
      pdf
    • Topologische Starrheit und Gruppenringe
      Mitteilungen der DMV,7:76--83, 2009
      pdf
    • Inheritance of Isomorphism Conjectures under colimits
      with S. Echterhoff and W. Lück
      Proceedings of the conference "K-theory and Noncommutative Geometry", 41--70,
      EMS Ser. Congr. Rep., Eur. Math. Soc., Zürich, 2008
      pdf
    • A foliated squeezing theorem for geometric modules
      with T. Farrell, L. Jones and H. Reich
      in Proceedings of the School "High dimensional manifold topology", ICTP, Trieste May/June 2001, 1--21
      Editors: F.T.Farrell, W.Lück, World Scientific 2003
      pdf, dvi
    • Squeezing and higher algebraic K-theory
      K-Theory, 28(1):19--37, 2003
      pdf, dvi
    • Higher dimensional links are singular slice
      Math. Ann., 320(3):547--576, 2001
      ps, pdf

    Slides

    • Group rings and topological rigidity
      Graz 2009
      pdf

  • Sprechstunde

    Sprechstunde: Di 11:15