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
    • Vorlesung: Topology II [100147]
      (in cooperation with Dr. Giles Gardam)
      [ - | | wöchentlich | Mo. | M A 503 (SR 5) | Prof. Dr. Arthur Bartels]
      [ - | | wöchentlich | Do. | M A 503 (SR 5) | Prof. Dr. Arthur Bartels]
    Seminare
    • Oberseminar: Research Seminar Topology [100145]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert, Prof. Dr. Michael Weiss)
      [ - | | wöchentlich | Mo. | SRZ 214 | Prof. Dr. Thomas Nikolaus]
    • Seminar: Seminar "Hypberbolic Groups" [100149]
      [ - | | wöchentlich | Di. | Prof. Dr. Arthur Bartels]
    Übung
    • Übung: Tutorial Topology II [100148]
      (in cooperation with Dr. Giles Gardam)
      [13.04.2020 | | wöchentlich | Mo. | Prof. Dr. Arthur Bartels]
      [ | wöchentlich | Di. | Prof. Dr. Arthur Bartels]
      [ | wöchentlich | Di. | Prof. Dr. Arthur Bartels]

    Vorlesung
    • Vorlesung: Topology I [108146]
      (in cooperation with Dr. Giles Gardam)
      [ - | | wöchentlich | Mo. | M B 6 (M 6) | Prof. Dr. Arthur Bartels]
      [ - | | wöchentlich | Do. | M B 6 (M 6) | Prof. Dr. Arthur Bartels]
    Seminare
    • Oberseminar: Research Seminar Topology [108145]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus, Prof. Dr. Michael Weiss)
      [ - | | wöchentlich | Mo. | Prof. Dr. Johannes Ebert]
      [ - | SRZ 214 | Prof. Dr. Johannes Ebert]
    • Seminar: Seminar on the Baum-Connes conjecture [108159]
      (in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Johannes Ebert)
      [07.10.2019 | | wöchentlich | Mo. | M B 6 (M 6) | Prof. Dr. Siegfried Echterhoff]
    • Seminar: p-adic analysis [108157]
      (in cooperation with Markus Schmetkamp)
      [ - | | wöchentlich | Di. | M A 503 (SR 5) | Prof. Dr. Arthur Bartels]
    Übung
    • Übung: Tutorial Topology I [108147]
      (in cooperation with Dr. Giles Gardam)
      [ | wöchentlich | Do. | SRZ 213 | Prof. Dr. Arthur Bartels]
      [ | wöchentlich | Fr. | SRZ 213 | Prof. Dr. Arthur Bartels]
      [ | wöchentlich | Do. | SRZ 213 | Prof. Dr. Arthur Bartels]

    • Oberseminar: Research Seminar Topology [106143]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert, Prof. Dr. Michael Weiss)
    • Seminar: Regularity of actions on compact spaces [106148]
      (in cooperation with Prof. Dr. Wilhelm Winter)

    • Oberseminar: Research Seminar Topology [104176]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus, Prof. Dr. Michael Weiss)
    • Oberseminar: Advanced Topology Seminar [102172]

    Vorlesung
    Seminare
    • Oberseminar: Research Seminar Topology [102170]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus, Prof. Dr. Michael Weiss)
    • Oberseminar: Advanced Topology Seminar [102172]
    Übung
    • Übung: Tutorial Linear Algebra II [102169]
      (in cooperation with Dr. Rudolf Zeidler)

    Vorlesung
    Seminare
    Übung

    Vorlesung
    Seminare
    Übung
    • Übung: Tutorial Foundations of Analysis, Topology and Geometry [108264]

    Vorlesung
    Seminar
    • Oberseminar: Research Seminar Topology [106100]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Michael Weiss)
    Übung
    • Übung: Tutorial Algebra (Gym/Ges, BK) [106106]
      (in cooperation with Dr. Rudolf Zeidler)

    Vorlesung
    Seminar
    • Oberseminar: Research Seminar Topology [104101]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Michael Weiss)

    Vorlesung
    Seminare
    • Oberseminar: Research Seminar Topology [102061]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Michael Weiss)
    • Seminar: Simple Homotopy Theory [102068]
      (in cooperation with )
    Übung
    • Übung: Tutorial Topology 2 [102063]

    Vorlesung
    Seminare
    Übung
    • Übung: Tutorial Topology I [100651]
      (in cooperation with Dr. Ulrich Pennig)

    Vorlesung
    Seminare
    • Oberseminar: Research Seminar Topology [101070]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Michael Weiss)
    • Seminar: Outer space and other complexes (complex curve and complex spheres) [101066]
      (in cooperation with Prof. Dr. Katrin Tent)
    Übung
    • Übung: Tutorial Foundations of Analysis, Topology and Geometry [101051]
      (in cooperation with Dr. Ulrich Pennig)

    Vorlesung
    Seminare
    • Oberseminar: Research Seminar Topology [101068]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Michael Weiss)
    • Seminar: Seminar Dimensions for Groups, C*-Algebras and Dynamical Systems [101072]
      (in cooperation with Prof. Dr. Wilhelm Winter)
    Übungen
    • Anleitung zum wissenschaftlichen Arbeiten: Privatissimum [109805]
      (in cooperation with Prof. Dr. Matthias Löwe, Prof. Dr. Steffen Dereich)
    • Übung: Tutorial Introduction to Algebra [101053]

    Vorlesung
    Seminare
    • Oberseminar: Research Seminar Topology [101614]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Michael Weiss)
    • Seminar: General Studies [101652]
      (in cooperation with Prof. Dr. Siegfried Echterhoff)
    • Seminar: Seminar Mathematical Tricks by Euler [101705]
      (in cooperation with apl. Prof. Michael Joachim)
    Übung
    • Übung: Tutorial Linear Algebra II [101690]
      (in cooperation with Dr. Svenja Knopf)

    Vorlesung
    Seminare
    • Oberseminar: Research Seminar Topology [101028]
      (in cooperation with apl. Prof. Michael Joachim, )
    • Seminar: Seminar Hyperbolic and Coarse Geometry [101032]
      (in cooperation with Dr. Ulrich Pennig)
    Übung
    • Übung: Tutorial Linear Algebra I [101047]
      (in cooperation with Dr. Svenja Knopf)

    Vorlesung
    • Vorlesung: Geometric Group Theory [101081]
    Seminare
    • Oberseminar: Research Seminar Topology [101039]
      (in cooperation with apl. Prof. Michael Joachim, )
    • Seminar: Group rings [101100]
    • Seminar: Specialisation in Topology [101206]
      (in cooperation with Prof. Dr. Johannes Ebert)
    Übung
    • Übung: Tutorial Geometric Group Theory [101096]

    Vorlesung
    • Vorlesung: Differential Forms and Manifolds [101056]
      (in cooperation with Dr. Ulrich Pennig)
    Seminare
    Übung
    • Übung: Tutorial Differential Forms and Manifolds [101060]
      (in cooperation with Dr. Ulrich Pennig)

    Vorlesung
    • Vorlesung: Introduction to Algebra [102847]
    Seminare
    • Oberseminar: Research Seminar Topology [101058]
      (in cooperation with apl. Prof. Michael Joachim, )
    • Seminar: Groups Topology and Model Theory [101517]
      (in cooperation with , Prof. Dr. Katrin Tent)
    Übung
    • Übung: Tutorial Introduction to Algebra [102851]
      (in cooperation with )

    Vorlesung
    • Vorlesung: Linear Algebra II [101020]
    Seminare
    • Oberseminar: Oberseminar Topologie [101054]
      (in cooperation with Wolfgang Lück, apl. Prof. Michael Joachim)
    • Seminar: Seminar Graphentheorie [101040]
      (in cooperation with Clara Löh)
    Übung
    • Übung: Übungen zur Vorlesung Lineare Algebra II [101035]
      (in cooperation with Christian Wegner)
    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, , 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
    • Vorlesung: Lineare Algebra I [102663]
    Seminare
    • Oberseminar: Oberseminar Topologie [103839]
      (in cooperation with Roman Sauer, apl. Prof. Michael Joachim)
    • Seminar: Was ist ...? [103843]
      (in cooperation with Tibor Macko)
    Übung
    • Übung: Linear Algebra II [102678]
      (in cooperation with Christian Wegner)

    Vorlesung
    • Vorlesung: 1.1.3 Third academic year [103505]
    Seminare
    • Oberseminar: Oberseminar Topologie [103467]
      (in cooperation with apl. Prof. Michael Joachim)
    • Seminar: Seminar Geometrische Gruppentheorie [103510]
      (in cooperation with Roman Sauer)
    • Seminar: Lesekurs L-Theorie [103539]
    • 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, , 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
    • Vorlesung: Algebraische Topologie II [103526]
    Seminare
    • Oberseminar: Oberseminar Topology /Geometry [103507]
      (in cooperation with Wolfgang Lück, apl. Prof. Michael Joachim)
    • Seminar: Seminar Topologie [103550]
    Übung
    • Übung: Übungen zur Vorlesung Algebraische Topologie II [105897]
      (in cooperation with Roman Sauer)
    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, , 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
    • Vorlesung: Algebraic Topology I [103465]
    Seminare
    • Oberseminar: Oberseminar Topology /Geometry [103431]
      (in cooperation with Wolfgang Lück, Clara Löh, apl. Prof. Michael Joachim, Prof. Dr. Linus Kramer)
    • Seminar: Seminar Knotentheorie [103484]
    Übung
    • Übung: Übungen zur Vorlesung Algebraische Topologie I [103470]
      (in cooperation with Tilman Bauer)
    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, , 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
    • Vorlesung: Einführung in die Homotopietheorie [103540]
    Seminar
    • Seminar: Seminar Topologie [103430]
      (in cooperation with Wolfgang Lück, apl. Prof. Michael Joachim)
    Übung
    • Übung: Übungen zur Vorlesung "Einführung in die algebraische K-Theorie" [103463]
      (in cooperation with Wolfgang Lück)

    • Oberseminar: Oberseminar Topology [103427]
      (in cooperation with Wolfgang Lück, , apl. Prof. Michael Joachim, Tilman Bauer, Holger Reich)
    • Seminar: Seminar Topologie [103431]
      (in cooperation with apl. Prof. Michael Joachim)

    Vorlesung
    • Vorlesung: Geometric group theory [104506]
    Seminar
    • Oberseminar: Oberseminar Topology [103495]
      (in cooperation with Wolfgang Lück, , apl. Prof. Michael Joachim, Tilman Bauer, Holger Reich)
    Übung
    • Übung: Tutorials Analysis II [102977]
      (in cooperation with )

  • 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

    Es finden momentan aufgrund der vorherrschenden Situation bis auf unbestimmte Zeit keine Sprechstunden statt!!

    In dringenden Fälle schreiben Sie mir bitte eine Email.