Professor Dr. Arthur Bartels

Professur für Theoretische Mathematik (Prof. Bartels)
Professor Dr. Arthur Bartels

Einsteinstr. 62, room 512
48149 Münster

T: +49 251 83-33745
F: +49 251 83-38370

  • Teaching

     

    • Oberseminar: Research Seminar Topology [104620]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus, Prof. Dr. Michael Weiss)
      [ - | | wöchentlich | Mi. | Prof. Dr. Johannes Ebert]

    Vorlesung
    • Vorlesung: Fields and Constructions [102145]
      [ - | | wöchentlich | Mo. | M B 3 (M 3) | Prof. Dr. Arthur Bartels]
    Seminare
    • Oberseminar: Research Seminar Topology [102144]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert, Prof. Dr. Michael Weiss)
      [ - | | wöchentlich | Mi. | SRZ 202 | Prof. Dr. Thomas Nikolaus]
    • Seminar: Mapping Class Group [102150]
      (in cooperation with Prof. Dr. Giles Gardam)
      [ - | | wöchentlich | Fr. | SRZ 205 | Prof. Dr. Arthur Bartels]
    Übung
    • Übung: Exercises for the Lecture "Fields and Constructions" [102147]
      [04.07.2023 | | wöchentlich | Di. | M A 111 (SR 1C) | Prof. Dr. Arthur Bartels]
      [ | wöchentlich | Di. | M B 2 (M 2) | Prof. Dr. Arthur Bartels]

    • Oberseminar: Research Seminar Topology [100174]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus, Prof. Dr. Michael Weiss)

    Vorlesung
    • Vorlesung: Fields and Constructions [108168]
    Seminare
    • Oberseminar: Research Seminar Topology [108174]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert, Prof. Dr. Michael Weiss)
    • Seminar: Seminar on dynamical entropy [108273]
      (in cooperation with Prof. David Kerr)
    Übung
    • Übung: Exercises for the Lecture "Fields and Constructions" [108180]

    Seminar
    • Oberseminar: Research Seminar Topology [106146]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus, Prof. Dr. Michael Weiss)
    Lektürekurs
    • Lektürekurs: Seminar on the Baum-Connes conjecture [108168]

    Vorlesung
    • Vorlesung: Homotopy Theory II [104155]
    Seminare
    • Oberseminar: Research Seminar Topology [102153]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert, Prof. Dr. Michael Weiss)
    • Seminar: Representation theory of finite groups [104161]
      (in cooperation with Prof. Dr. Giles Gardam)

    Vorlesung
    Seminar
    • Oberseminar: Research Seminar Topology [102146]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus, Prof. Dr. Michael Weiss)
    Übung
    • Übung: Tutorial Homotopy Theory [102143]

    Vorlesung
    Seminare
    Übung
    • Übung: Tutorial Topology II [100148]
      (in cooperation with Prof. Dr. Giles Gardam)

    Vorlesung
    Seminare
    • Oberseminar: Master in Communication Studies [108145]
      (in cooperation with apl. Prof. Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus, Prof. Dr. Michael Weiss)
    • Seminar: Seminar on the Baum-Connes conjecture [108159]
      (in cooperation with Prof. Dr. Siegfried Echterhoff, Prof. Dr. Johannes Ebert)
    • Seminar: p-adic analysis [108157]
      (in cooperation with Markus Zeggel)
    Übung

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

    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 )

    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: Seminar Mathematical Tricks by Euler [101705]
      (in cooperation with apl. Prof. Michael Joachim)
    • Seminar: General Studies [101652]
      (in cooperation with Prof. Dr. Siegfried Echterhoff)
    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 )
    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 )
    Seminare
    Übung
    • Übung: Tutorial Differential Forms and Manifolds [101060]
      (in cooperation with )

    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 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, 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 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: Lesekurs L-Theorie [103539]
    • Seminar: Seminar Topologie [103452]
      (in cooperation with Clara Löh, apl. Prof. Michael Joachim)
    • Seminar: Seminar Geometrische Gruppentheorie [103510]
      (in cooperation with )
    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, 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 apl. Prof. Michael Joachim)
    • Seminar: Seminar Topologie [103550]
    Übung
    • Übung: Übungen zur Vorlesung Algebraische Topologie II [105897]
      (in cooperation with )
    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, 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 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, 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 apl. Prof. Michael Joachim)
    Übung
    • Übung: Übungen zur Vorlesung "Einführung in die algebraische K-Theorie" [103463]
      (in cooperation with )

    • Oberseminar: Oberseminar Topology [103427]
      (in cooperation with 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 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.’ Inventiones Mathematicae 215, No. 2: 651–712. doi: 10.1007/s00222-018-0834-9.
    • Bartels A, Douglas CL, Henriques A. . ‘Fusion of defects.’ Memoirs of the American Mathematical Society 258, No. 1237: vii+100. doi: 10.1090/memo/1237.
    • Bartels A, Douglas CL, Henriques A. . ‘Conformal nets IV: The 3-category.’ Algebraic and Geometric Topology 18, No. 2: 897–956. doi: 10.2140/agt.2018.18.897.
    • Bartels A. . ‘Coarse flow spaces for relatively hyperbolic groups.’ Compositio Mathematica 153, No. 4: 745–779. doi: 10.1112/S0010437X16008216.
    • Bartels A, Douglas CL, Henriques A. . ‘Conformal nets II: Conformal blocks.’ Communications in Mathematical Physics 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 International Publishing. doi: 10.1007/978-3-319-43674-6_1.
    • Bartels A, Douglas CL, Henriques A. . ‘Conformal nets I: Coordinate-free nets.’ International Mathematics Research Notices ?, No. 13: 4975–5052. doi: 10.1093/imrn/rnu080.
    • Bartels A, Douglas CL, Henriques A. . ‘Dualizability and index of subfactors.’ Quantum Topology 5, No. 3: 289–345. doi: 10.4171/QT/53.
    • Bartels A, Farrell FT, Lück W. . ‘The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups.’ Journal of the American Mathematical Society 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).’ Publications Mathématiques de L'IHÉS 119: 97–125. doi: 10.1007/s10240-013-0055-0.
    • 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. . ‘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., Lück W., Weinberger S. . ‘On hyperbolic groups with spheres as boundary.’ Journal of Differential Geometry 86, No. 1: 1–16.
    • Bartels A. . ‘Topologische Starrheit und Gruppenringe.’ Mitteilungen der Deutschen Mathematiker-Vereinigung 17, No. 2: 80––86.
    • Bartels A, Lück W, Reich H. . ‘The K-theoretic Farrell-Jones conjecture for hyperbolic groups.’ Invent. Math. 172, No. 1: 29–70.
    • 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. European Mathematical Society. doi: 10.4171/060-1/2.
    • Bartels A, Lück W, Reich H. . ‘Equivariant covers for hyperbolic groups.’ Geometry and Topology 12, No. 3: 1799––1882. doi: 10.2140/gt.2008.12.1799.
    • Bartels A, Lück W, Reich H. . ‘On the Farrell-Jones conjecture and its applications.’ Journal of Topology 1, No. 1: 57––86. doi: 10.1112/jtopol/jtm008.
    • Bartels A, Rosenthal D. . ‘On the K-theory of groups with finite asymptotic dimension.’ Journal für die reine und angewandte Mathematik 612: 35––57. doi: 10.1515/CRELLE.2007.083.
    • Bartels A, Lück W. . ‘Induction theorems and isomorphism conjectures for K- and L-theory.’ Forum Mathematicum 19, No. 3: 379––406. doi: 10.1515/FORUM.2007.016.
    • Bartels A, Reich H. . ‘Coefficients for the Farrell-Jones conjecture.’ Advances in Mathematics 209, No. 1: 337––362. doi: 10.1016/j.aim.2006.05.005.
    • Bartels A, Lück W. . ‘Isomorphism conjecture for homotopy K-theory and groups acting on trees.’ Journal of Pure and Applied 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.’ Journal of the American Mathematical Society 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 A, Farrell T, Jones L, Reich H. . ‘A foliated squeezing theorem for geometric modules.’ In High-dimensional manifold topology, 1––21. World Scientific Publishing. doi: 10.1142/9789812704443_0001.
    • Bartels AC. . ‘On the domain of the assembly map in algebraic K-theory.’ Algebraic and Geometric Topology 3: 1037––1050. doi: 10.2140/agt.2003.3.1037.
    • Bartels AC. . ‘Squeezing and higher algebraic K-theory.’ K-Theory 28, No. 1: 19––37. doi: 10.1023/A:1024166521174.
    • Bartels A. . ‘Higher dimensional links are singular slice.’ Mathematische Annalen 320, No. 3: 547––576. doi: 10.1007/PL00004486.
    • Bartels A, Teichner P. . ‘All two-dimensional links are null homotopic.’ Geometry and Topology 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

    Zur Zeit kann ich keine regelmäßige Sprechstunde anbieten. Sie können sich aber gerne per Email bei mir melden.