Oberseminar: Research Seminar Topology [104176] (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]
Vorlesung
Vorlesung: Linear Algebra II [102168] (in cooperation with Dr. Rudolf Zeidler) [ - | | wöchentlich | Di. | M B 1 (M 1) | Prof. Dr. Arthur Bartels] [ - | | wöchentlich | Fr. | M B 1 (M 1) | Prof. Dr. Arthur Bartels]
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) [ - | | wöchentlich | Mo. | M A 503 (SR 5) | Prof. Dr. Johannes Ebert]
Oberseminar: Advanced Topology Seminar [102172] [ - | M A 503 (SR 5) | Prof. Dr. Arthur Bartels] [M A 111 (SR 1C) | Prof. Dr. Arthur Bartels]
Übung
Übung: Tutorial Linear Algebra II [102169] (in cooperation with Dr. Rudolf Zeidler)
[02.05.2018 | | wöchentlich | Mi. | M A 401 (SR 4) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Do. | SRZ 205 | Prof. Dr. Arthur Bartels] [ | wöchentlich | Mi. | M A 401 (SR 4) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Mi. | M A 201 (SR 2) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Do. | M A 401 (SR 4) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Do. | SRZ 217 | Prof. Dr. Arthur Bartels] [ | wöchentlich | Mi. | M A 201 (SR 2) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Do. | M A 111 (SR 1C) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Mo. | SRZ 205 | Prof. Dr. Arthur Bartels] [ | wöchentlich | Do. | M A 114 (SR 1D) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Mi. | M A 201 (SR 2) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Do. | M A 109 (SR 1B) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Do. | M A 114 (SR 1D) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Do. | M A 109 (SR 1B) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Mi. | M A 201 (SR 2) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Do. | M A 111 (SR 1C) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Di. | SRZ 205 | Prof. Dr. Arthur Bartels] [ | wöchentlich | Di. | M A 111 (SR 1C) | Prof. Dr. Arthur Bartels] [ | wöchentlich | Mi. | M A 201 (SR 2) | Prof. Dr. Arthur Bartels]
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, Christian Ausoni)
Seminar: Groups Topology and Model Theory [101517] (in cooperation with Antongiulio Fornasiero, 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, 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
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)
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
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, 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
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, 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
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, Prof. Anand Dessai, 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, Prof. Anand Dessai, apl. Prof. Michael Joachim, Tilman Bauer, Holger Reich)
Übung
Übung: Tutorials Analysis II [102977] (in cooperation with Prof. Anand Dessai)
Publications
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,Arthur C. A.C.,Lück,Wolfgang L. W.L.,Reich,Holger H.,Rüping,Henrik H.,. . ‘K- and L-theory of group rings over GLn(Z).’ Publications Mathematiques de l'Institut des Hautes Etudes Scientifiques 119, No. 1: 97-125. doi: 10.1007/s10240-013-0055-0.
Bartels,Arthur A.,Douglas,Christopher L. C.L.,Henriques,André G. A.G.,. . ‘Dualizability and index of subfactors.’ Quantum Topology 5, No. 3: 289-345. doi: 10.4171/QT/53.
Bartels A., Farrell F.T., Luck W.L. . ‘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. . ‘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. . ‘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. . ‘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., Luck 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.’ Mitt. Dtsch. Math.-Ver. 17, No. 2: 80--86.
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, 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, 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. . ‘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
