Teaching
- Advanced seminar: Oberseminar Topologie [104140]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Thomas Nikolaus and Prof. Dr. Johannes Ebert)- [ – | Mon, – | ]
Lecture
- Lecture: Zahlentheorie für Lehramtsstudierende [102148]
- [ – | Tue, – | | M B 2 (M 2)]
Seminar
- Advanced seminar: Oberseminar Topologie [102140]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Thomas Nikolaus and Prof. Dr. Johannes Ebert)- [ – | Mon, – | | M B 4 (M 4)]
Practice
- Practice: Übungen zur Vorlesung "Zahlentheorie für Lehramtsstudierende" [102149]
- [ – | Tue, – | ]
- [Tue, – | ]
- [Wed, – | | M B 6 (M 6)]
- [Mon, – | ]
- [Mon, – | ]
- [Wed, – | | M B 6 (M 6)]
- []
- Advanced seminar: Oberseminar Topologie [100142]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Lecture
Seminar
- Advanced seminar: Oberseminar Topologie [108142]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus and Prof. Dr. Michael Weiss)
Practice
Lecture
Seminar
- Advanced seminar: Oberseminar Topologie [106142]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Practice
- Advanced seminar: Oberseminar Topologie [104620]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus and Prof. Dr. Michael Weiss)
Lecture
Seminars
- Seminar: Abbildungsklassengruppen [102150]
- Advanced seminar: Oberseminar Topologie [102144]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Practice
- Advanced seminar: Oberseminar Topologie [100174]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus and Prof. Dr. Michael Weiss)
Lecture
Seminars
- Seminar: Seminar on dynamical entropy [108273]
(in cooperation with Prof. David Kerr) - Advanced seminar: Oberseminar Topologie [108174]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Practice
Seminar
- Advanced seminar: Oberseminar Topologie [106146]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus and Prof. Dr. Michael Weiss)
Reading course
Lecture
Seminars
- Seminar: Darstellungstheorie endlicher Gruppen [104161]
- Advanced seminar: Oberseminar Topologie [102153]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Lecture
Seminar
- Advanced seminar: Oberseminar Topologie [102146]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus and Prof. Dr. Michael Weiss)
Practice
Lecture
Seminars
- Seminar: Seminar "Hyperbolische Gruppen" [100149]
- Advanced seminar: Oberseminar Topologie [100145]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Practice
Lecture
Seminars
- Seminar: Seminar on the Baum-Connes conjecture [108159]
(in cooperation with Prof. Dr. Siegfried Echterhoff and Prof. Dr. Johannes Ebert) - Seminar: p-adische Analysis [108157]
- Advanced seminar: Oberseminar Topologie [108145]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus and Prof. Dr. Michael Weiss)
Practice
- Seminar: Regularity of actions on compact spaces [106148]
(in cooperation with Prof. Dr. Wilhelm Winter) - Advanced seminar: Oberseminar Topologie [106143]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Thomas Nikolaus, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
- Advanced seminar: Doktorandenseminar [102172]
- Advanced seminar: Oberseminar Topologie [104176]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus and Prof. Dr. Michael Weiss)
Lecture
- Lecture: Lineare Algebra II [102168]
(in cooperation with Prof. Dr. Rudolf Zeidler)
Seminars
- Advanced seminar: Oberseminar Topologie [102170]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert, Prof. Dr. Thomas Nikolaus and Prof. Dr. Michael Weiss) - Advanced seminar: Doktorandenseminar [102172]
Practice
- Practice: Übungen zur Vorlesung Lineare Algebra II [102169]
(in cooperation with Prof. Dr. Rudolf Zeidler)
Lecture
- Lecture: Lineare Algebra I [100174]
(in cooperation with Prof. Dr. Rudolf Zeidler)
Seminars
- Advanced seminar: Darstellungstheorie und Isomorphismus Vermutung p-adischer Gruppen [100177]
(in cooperation with Prof. Dr. Peter Schneider) - Advanced seminar: Oberseminar Topologie [100176]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Practice
- Practice: Übungen zur Linearen Algebra I [100175]
(in cooperation with Prof. Dr. Rudolf Zeidler)
Lecture
Seminars
- Seminar: L^2-Invarianten [108271]
(in cooperation with Prof. Dr. Johannes Ebert) - Advanced seminar: Oberseminar Topologie [108266]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Practice
Lecture
- Lecture: Algebra für Lehramtskandidaten (Gym/Ges, BK) [106105]
(in cooperation with Prof. Dr. Rudolf Zeidler)
Seminar
- Advanced seminar: Oberseminar Topologie [106100]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Practice
- Practice: Übungen zur Algebra für Lehramtskandidaten (Gym/Ges, BK) [106106]
(in cooperation with Prof. Dr. Rudolf Zeidler)
Lecture
Seminar
- Advanced seminar: Oberseminar Topologie [104101]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Lecture
Seminars
- Seminar: "Einfache" Homotopietheorie [102068]
(in cooperation with Christoph Winges) - Advanced seminar: Oberseminar Topologie [102061]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Practice
Lecture
- Lecture: Topologie I [100647]
(in cooperation with Ulrich Pennig)
Seminars
- Seminar: Seminar zur Differentialtopologie [100666]
(in cooperation with Paul Bubenzer and Dr. Svenja Knopf) - Advanced seminar: Oberseminar Topologie [100632]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Practice
- Practice: Übungen zur Vorlesung "Topologie I" [100651]
(in cooperation with Ulrich Pennig)
Lecture
- Lecture: Grundlagen der Analysis, Topologie und Geometrie [101047]
(in cooperation with Ulrich Pennig)
Seminars
- Seminar: Outer space und andere Komplexe (Kurvenkomplex und Sphärenkomplex) [101066]
(in cooperation with Prof. Dr. Katrin Tent) - Advanced seminar: Oberseminar Topologie [101070]
(in cooperation with apl. Prof.Michael Joachim and Prof. Dr. Michael Weiss)
Practice
- Practice: Übungen zur Vorlesung "Grundlagen der Analysis, Topologie und Geometrie" [101051]
(in cooperation with Ulrich Pennig)
Lecture
Seminars
- Seminar: Seminar: Dimensionen für Gruppen, C*-Algebren und dynamische Systeme. [101072]
(in cooperation with Prof. Dr. Wilhelm Winter) - Advanced seminar: Oberseminar Topologie [101068]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Practices
- Practice: Übungen zur Einführung in die Algebra [101053]
- Introduction to academic work: Privatissimum [109805]
(in cooperation with Prof. Dr. Matthias Löwe and Prof. Dr. Steffen Dereich)
Lecture
- Lecture: Lineare Algebra II [101686]
(in cooperation with Dr. Svenja Knopf)
Seminars
- Seminar: Seminar "Eulers Trickkiste" [101705]
(in cooperation with apl. Prof.Michael Joachim) - Seminar: Seminar "Expander-Graphen und das Banach-Ruciewicz Problem" [101652]
(in cooperation with Prof. Dr. Siegfried Echterhoff) - Advanced seminar: Oberseminar Topologie [101614]
(in cooperation with apl. Prof.Michael Joachim, Prof. Dr. Johannes Ebert and Prof. Dr. Michael Weiss)
Practice
- Practice: Übungen zur Vorlesung Lineare Algebra II [101690]
(in cooperation with Dr. Svenja Knopf)
Lecture
- Lecture: Lineare Algebra I [101013]
(in cooperation with Dr. Svenja Knopf)
Seminars
- Seminar: Seminar "Hyperbolische und grobe Geometrie" [101032]
(in cooperation with Ulrich Pennig) - Advanced seminar: Oberseminar Topologie [101028]
(in cooperation with apl. Prof.Michael Joachim and Christian Ausoni)
Practice
- Practice: Übungen zur Linearen Algebra I [101047]
(in cooperation with Dr. Svenja Knopf)
Lecture
Seminars
- Seminar: Topologische Spezialisierung [101206]
(in cooperation with Prof. Dr. Johannes Ebert) - Seminar: Gruppenringe [101100]
- Advanced seminar: Oberseminar Topologie [101039]
(in cooperation with apl. Prof.Michael Joachim and Christian Ausoni)
Practice
Lecture
- Lecture: Differentialformen und Mannigfaltigkeiten [101056]
(in cooperation with Ulrich Pennig)
Seminars
- Seminar: Seminar Topologie [101022]
(in cooperation with apl. Prof.Michael Joachim and Prof. Dr. Linus Kramer) - Seminar: Seminar zur K-Theorie [101018]
(in cooperation with apl. Prof.Michael Joachim) - Advanced seminar: Oberseminar Topologie [101080]
(in cooperation with apl. Prof.Michael Joachim and Christian Ausoni)
Practice
- Practice: Übungen zur Vorlesung Differentialformen und Mannigfaltigkeiten [101060]
(in cooperation with Ulrich Pennig)
Lecture
Seminars
- Seminar: Groups Topology and Model Theory [101517]
(in cooperation with Antongiulio Fornasiero and Prof. Dr. Katrin Tent) - Advanced seminar: Oberseminar Topologie [101058]
(in cooperation with apl. Prof.Michael Joachim and Christian Ausoni)
Practice
Lecture
Seminars
- Seminar: Seminar Graphentheorie [101040]
(in cooperation with Clara Löh) - Advanced seminar: Oberseminar Topologie [101054]
(in cooperation with Wolfgang Lück and apl. Prof.Michael Joachim)
Practice
- Practice: Übungen zur Vorlesung Lineare Algebra II [101035]
(in cooperation with Christian Wegner)
Colloquium
- Colloquium: Seminar des Graduiertenkollegs [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 and Ludwig Bröcker)
- Advanced seminar: Oberseminar Topologie [104140]
Articles
Selection
- Bartels, A., Douglas, C.L., Henriques, and A.. . “Conformal nets V: Dualizability.” Communications in Mathematical Physics 391 (1): 1–31. doi: 10.1007/s00220-021-04212-w.
- Bartels, A., and Bestvina, M. . “The Farrell-Jones conjecture for mapping class groups.” Inventiones Mathematicae 215 (2): 651–712. doi: 10.1007/s00222-018-0834-9.
- Bartels, A., Douglas, C.L., and Henriques, A. . “Fusion of defects.” Memoirs of the American Mathematical Society 258: vii+100.. doi: 10.1090/memo/1237.
- Bartels, A. . “Coarse flow spaces for relatively hyperbolic groups.” Compositio Mathematica 153 (4): 745–779. doi: 10.1112/S0010437X16008216.
- Bartels, A, Douglas, CL, and Henriques, A. . “Conformal nets II: Conformal blocks.” Communications in Mathematical Physics 354 (1): 393–458. doi: 10.1007/s00220-016-2814-5.
- Bartels, A., Farrell, F.T., and Lück, W. . “The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups.” Journal of the American Mathematical Society 27 (2): 339–388. doi: 10.1090/S0894-0347-2014-00782-7.
- Bartels, A., and Lück, W. . “The Borel Conjecture for hyperbolic and CAT(0)-groups.” Annals of Mathematics 175 (2): 631–689. doi: 10.4007/annals.2012.175.2.5.
- Bartels, A., Lück, W., and Weinberger, S. . “On hyperbolic groups with spheres as boundary.” Journal of Differential Geometry 86 (1): 1–16. doi: 10.4310/jdg/1299766682.
- Bartels, A., Lück, W., and Reich, H. . “The K-theoretic Farrell-Jones conjecture for hyperbolic groups.” Inventiones Mathematicae 172 (1): 29–70. doi: 10.1007/s00222-007-0093-7.
- Bartels, A., and Reich, H. . “On the Farrell-Jones conjecture for higher algebraic K-theory.” Journal of the American Mathematical Society 18 (3): 501–545. doi: 10.1090/S0894-0347-05-00482-0.
Complete List
- Bartels, A., Douglas, C.L., Henriques, and A.. . “Conformal nets V: Dualizability.” Communications in Mathematical Physics 391 (1): 1–31. doi: 10.1007/s00220-021-04212-w.
- Bartels, A., and Bestvina, M. . “The Farrell-Jones conjecture for mapping class groups.” Inventiones Mathematicae 215 (2): 651–712. doi: 10.1007/s00222-018-0834-9.
- Bartels, A., Douglas, C.L., and Henriques, A. . “Fusion of defects.” Memoirs of the American Mathematical Society 258: vii+100.. doi: 10.1090/memo/1237.
- Bartels, A, Douglas, CL, and Henriques, A. . “Conformal nets IV: The 3-category.” Algebraic and Geometric Topology 18 (2): 897–956. doi: 10.2140/agt.2018.18.897.
- Bartels, A. . “Coarse flow spaces for relatively hyperbolic groups.” Compositio Mathematica 153 (4): 745–779. doi: 10.1112/S0010437X16008216.
- Bartels, A, Douglas, CL, and Henriques, A. . “Conformal nets II: Conformal blocks.” Communications in Mathematical Physics 354 (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, Vol. 184 of Springer Proc. Math. Stat., edited by [Cham] Springer. Springer International Publishing. doi: 10.1007/978-3-319-43674-6_1.
- Bartels, A, Douglas, CL, and Henriques, A. . “Conformal nets I: Coordinate-free nets.” International Mathematics Research Notices ? (13): 4975–5052. doi: 10.1093/imrn/rnu080.
- Bartels, A, Douglas, CL, and Henriques, A. . “Dualizability and index of subfactors.” Quantum Topology 5 (3): 289–345. doi: 10.4171/QT/53.
- Bartels, A., Farrell, F.T., and Lück, W. . “The Farrell-Jones conjecture for cocompact lattices in virtually connected Lie groups.” Journal of the American Mathematical Society 27 (2): 339–388. doi: 10.1090/S0894-0347-2014-00782-7.
- Bartels, A, Lück, W, Reich, H, and 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, and Lück, W. . “The Farrell-Hsiang method revisited.” Mathematische Annalen 354 (1): 209–226. doi: 10.1007/s00208-011-0727-3.
- Bartels, A., and Lück, W. . “The Borel Conjecture for hyperbolic and CAT(0)-groups.” Annals of Mathematics 175 (2): 631–689. doi: 10.4007/annals.2012.175.2.5.
- Bartels, A, and Lück, W. . “Geodesic flow for CAT(0)-groups.” Geometry and Topology 16 (3): 1345–1391. doi: 10.2140/gt.2012.16.1345.
- Bartels, A, and Lück, W. . “On crossed product rings with twisted involutions, their module categories and L-theory.” in Cohomology of groups and algebraic K-theory, Vol. 12 of Advanced lectures in mathematics, edited by Ji Lizhen, Liu Kefeng and Yau Shing-Tung. International Press of Boston.
- Bartels, A., Lück, W., and Weinberger, S. . “On hyperbolic groups with spheres as boundary.” Journal of Differential Geometry 86 (1): 1–16. doi: 10.4310/jdg/1299766682.
- Bartels, A. . “Topologische Starrheit und Gruppenringe.” Mitteilungen der Deutschen Mathematiker-Vereinigung 17 (2): 80–86.
- Bartels, A., Lück, W., and Reich, H. . “The K-theoretic Farrell-Jones conjecture for hyperbolic groups.” Inventiones Mathematicae 172 (1): 29–70. doi: 10.1007/s00222-007-0093-7.
- Bartels, A, Echterhoff, S, and Lück, W. . “Inheritance of isomorphism conjectures under colimits.” in K-theory and noncommutative geometry, EMS Ser. Congr. Rep., edited by Guillermo Cortiñas, Joachim Cuntz, Max Karoubi, Ryszard Nest and Charles A. Weibel. EMS Press. doi: 10.4171/060-1/2.
- Bartels, A, Lück, W, and Reich, H. . “Equivariant covers for hyperbolic groups.” Geometry and Topology 12 (3): 1799–1882. doi: 10.2140/gt.2008.12.1799.
- Bartels, A, Lück, W, and Reich, H. . “On the Farrell-Jones conjecture and its applications.” Journal of Topology 1 (1): 57–86. doi: 10.1112/jtopol/jtm008.
- Bartels, A, and 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, and Lück, W. . “Induction theorems and isomorphism conjectures for K- and L-theory.” Forum Mathematicum 19 (3): 379–406. doi: 10.1515/FORUM.2007.016.
- Bartels, A, and Reich, H. . “Coefficients for the Farrell-Jones conjecture.” Advances in Mathematics 209 (1): 337–362. doi: 10.1016/j.aim.2006.05.005.
- Bartels, A, and Lück, W. . “Isomorphism conjecture for homotopy K-theory and groups acting on trees.” Journal of Pure and Applied Algebra 205 (3): 660–696. doi: 10.1016/j.jpaa.2005.07.020.
- Bartels, A., and Reich, H. . “On the Farrell-Jones conjecture for higher algebraic K-theory.” Journal of the American Mathematical Society 18 (3): 501–545. doi: 10.1090/S0894-0347-05-00482-0.
- Bartels, A, Farrell, T, Jones, L, and Reich, H. . “On the isomorphism conjecture in algebraic K-theory.” Topology 43 (1): 157–213. doi: 10.1016/S0040-9383(03)00032-6.
- Bartels, A, Farrell, T, Jones, L, and Reich, H. . “A foliated squeezing theorem for geometric modules.” in High-dimensional manifold topology World Scientific Publishing. doi: 10.1142/9789812704443_0001.
- AC, Bartels. . “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.
- AC, Bartels. . “Squeezing and higher algebraic K-theory.” K-Theory 28 (1): 19–37. doi: 10.1023/A:1024166521174.
- Bartels, A. . “Higher dimensional links are singular slice.” Mathematische Annalen 320 (3): 547–576. doi: 10.1007/PL00004486.
- Bartels, A, and Teichner, P. . “All two-dimensional links are null homotopic.” Geometry and Topology 3: 235–252. doi: 10.2140/gt.1999.3.235.
Professor Dr. Arthur Bartels
Professur für Theoretische Mathematik (Prof. Bartels)
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
- On crossed product rings with twisted involutions, their module categories and L-theory
Sprechstunde
Zur Zeit kann ich keine regelmäßige Sprechstunde anbieten. Sie können sich aber gerne per Email bei mir melden.