# Publications

A list of all publications is available as pdf-File

Bib-Database (version 2023/12/01 or later): Published, Preprints, Bib-Definitions

Articles,
Preprints,
Survey articles,
Books,
Slides of talks and presentations,
Manuscripts/Slides of courses or seminars.

Articles | |||||||
---|---|---|---|---|---|---|---|

Title | Coauthors | Year | Journal | Pages | |||

On the algebraic K-theory of Hecke algebras | Bartels, A. | 2023 | Lecture Notes in Mathematics 2313: Mathematics Going Forward | 241-277 | |||

Lehmer's Problem for arbitrary groups | 2022 | Journal of Topology and Anylysis 14 | 901–932 | ||||

A vanishing theorem for tautological classes of aspherical manifolds | Hebestreit, F. Land, M. and Randal-Williams, O. | 2021 | Geometry & Topology 25-2 | 47--110 | |||

Manifolds homotopy equivalent to certain torus bundles over lens spaces | Davis, J. | 2021 | Communications on Pure and Applied Mathematics 74 (11), | 2348–2397 | |||

K- and L-theory of graph products of groups | Kasprowski,D. and Li, K. | 2021 | GGD 15(1) | 269--311 | |||

The Segal Conjecture for infinite groups | 2020 | Algebraic & Geometric Topology 20-2 | 965--986 | ||||

Assembly maps for topological cyclic homology of group algebras | Reich, H. and Rognes, J. and Varisco, M. | 2019 | Crelle's Journal für reine und angewandte Mathematik 755 | 247-277 | |||

On the stable Cannon Conjecture | Ferry, S. and Weinberger, S. | 2019 | Journal of Topology 12 | 798-831 | |||

L^2-Euler characteristics and the Thurston norm | Friedl, S. | 2019 | Proceedings of the LMS 118 | 857-900 | |||

The L^2-torsion function and the Thurston norm of 3-manifolds | Friedl, S. | 2019 | Commentarii Mathematici Helvetici 94 | 21-52 | |||

On the Farrell-Jones Conjecture for Waldhausen's A-theory | Enkelmann, N.,E. and Pieper, Malte and Ullmann, M. and Winges, C. | 2018 | Geometry and Topology 22(6) | 3321-3394 | |||

Twisting L^2-invariants with finite-dimensional representations | 2018 | Journal of Topology and Analysis 10(4) | 723-816 | ||||

Approximately fibering a manifold over an aspherical one | Farrell, T and Steimle, W. | 2018 | Math. Annalen 370 | 669-726 | |||

Localization, Whitehead groups, and the Atiyah Conjecture | Linnell, P. | 2018 | Annals of K-theory 3 | 33-53 | |||

Universal L^2-torsion, polytopes and applications to 3-manifolds | Friedl, S. | 2017 | Proc. of LMS 114 | 1114-1151 | |||

Algebraic K-theory of group rings and the cyclotomic trace map | Reich, H. and Rognes, J. and Varisco, M. | 2017 | Advances in Mathematics 304 | 930-1020 | |||

The Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups | Kammeyer, Rueping | 2016 | Geometry and Topology 20 (3) | 1275-1287 | |||

Splitting the relative assembly map, Nil-terms and involutions | Steimle, W. | 2016 | Annals of K-theory 4 | 339-377 | |||

The L^2-Alexander torsion of 3-manifolds | Dubois, J. and Friedl, S. | 2016 | Journal of Topology 9(3) | 889-926 | |||

A twisted Bass-Heller-Swan decomposition for the non-connective K-theory of additive categories | Steimle, W. | 2016 | Forum 28 | 129-174 | |||

On highly regular embeddings | Blagojevic, P.V.M. and Ziegler, G.M. | 2016 | Transactions of the AMS 368(4) | 2891--2912 | |||

The L^2-Alexander is symmetric | Dubois, J. and Friedl, S. | 2015 | AGT 15 (6) | 3599-3612 | |||

On complex highly regular embeddings and the extended {V}assiliev conjecture | Blagojevic, P.V.M. and Cohen, F. and Ziegler, G.M. | 2015 | International Mathematics Research Notices (Advance Access) | 32 | |||

Equivariant Topology of Configuration Spaces | Blagojevic, P.V.M. and Ziegler, G.M. | 2015 | Journal of Topology 8 (2) | 414-456 | |||

Three flavors of twisted knot invariants | Dubois, J. and Friedl, S. | 2015 | Introduction to modern mathematics in Advanced Lecture in Mathematics 33, International Press | 143-170 | |||

Estimates for spectral density functions of matrices over C[Z^d]) | 2015 | Annales math\'ematiques Blaise Pascal, 22 no. 1 | 73-88 | ||||

The Farrell-Jones Conjecture for cocompact lattices in virtually connected Lie groups | Bartels, A. and Farrell, T. | 2014 | Journal of the AMS 27 (2) | 339-388 | |||

K - and L-theory of group rings over GL_n(Z) | Bartels, A., Reich, H. and Rüping, H. | 2014 | Publ. Math. IHES 119 | 97-125 | |||

On the growth of Betti numbers in p-adic analytic towers | Bergeron, N, Linnell, P.and Sauer, R. | 2014 | Groups, Geometry, and Dynamics 8 | 311-329 | |||

The first L^2-Betti number and approximation in arbitrary characteristic | Ershov, M. | 2014 | Documenta 19 | 313-331 | |||

On the spectral density function of the Laplacian of a graph | Koch, H. | 2014 | Expositiones Mathematicae 32 | 178-189 | |||

On the K- and L-theory of hyperbolic and virtually finitely generated abelian groups | Rosenthal, D. | 2014 | Forum Math.26 | 1565-1609 | |||

Delooping K-theory for additive categories | Steimle, W. | 2014 | Proceedings of the Fourth Arolla Conference on Algebraic Topology 2012, An Alpine Expedition through Algebraic Topology Contemporary Math. 617 | 205-236 | |||

Equivariant principal bundles and their classifying spaces | Uribe, B. | 2014 | AGT | 1925-1995 | |||

Approximating L^2-invariants and homology growth | 2013 | GAFA 23 (2) (2013) | 622-663 | ||||

The topological K-theory of certain crystallographic groups | Davis, J.F. | 2013 | Journal of Non-Commutative Geometry 7 | 373-431 | |||

Topological K-(co-)homology of classifying spaces of discrete groups | Joachim, M. | 2013 | Algebraic & Geometric Topology 13 | 1-34 | |||

The Borel Conjecture for hyperbolic and CAT(0)-groups | Bartels, A. | 2012 | Annals of Mathematics 175 | 631-689 | dvi pdf | ||

Geodesic flow for CAT(0)-groups | Bartels, A. | 2012 | Geometry and Topology 16 | 1345-1391 | |||

The Farrell-Hsiang method revisited | Bartels, A. | 2012 | Mathematische Annalen 354 | 209-226 | |||

Induction and computation of Bass Nil groups for finite groups | Hambleton, I. | 2012 | Pure and Applied Mathematics Quaterly volume 8, number 1, (Special Issue: In honour of Thomas Farrell and Lowell E. Jones Part 1) | 199-219 | dvi pdf | ||

Topological K-theory of the group C^*-algebra of a semi-direct product Z^n rtimes Z/m for a free conjugation action | Langer, M. | 2012 | Journal of Topology and Analysis 4 | 121-172 | |||

On the group cohomology of the semi-direct product Z^n rtimes Z/m and a conjecture of Adem-Ge-Pan-Petrosyan | Langer, M. | 2012 | Journal of Pure and Applied Algebra 216 | 1318-1339 | |||

K-theory for ring C*-algebras - the case of number fields with higher roots of unity | Li, X. | 2012 | Journal of Topology and Analysis 4 (4) | 449-479 | |||

On the classifying space of the family of virtually cyclic subgroups | Weiermann, M. | 2012 | Pure and Applied Mathematics Quaterly volume 8, Number 2, (Special Issue: In honour of Thomas Farrell and Lowell E. Jones Part 2) | 497-555 | dvi pdf | ||

K- and L-theory of group rings | 2011 | Proceedings of the 26-th ICM in Hyderabad 2010, Volume II, Section 6 Topology | 1071-1098 | ||||

The limit F_p-Betti numbers of a tower of finite covers with amenable fundamental groups | Linnell, P. and Sauer, R. | 2011 | Proceedings of the AMS 139 (2) | 421-434 | |||

Approximating the first L2-betti number of residually finite groups | Osin, D. | 2011 | Journal of Topology and Analysis 3 (2) | 153-160 | |||

Euler characteristics of categories and homotopy colimits | Fiore, T. and Sauer, R. | 2011 | Documenta Mathematica 16 | 301-354 | |||

Finiteness obstructions and Euler characteristics of categories | Fiore, T. and Sauer, R. | 2011 | Advances of Mathematics 226 | 2371-2469 | |||

On hyperbolic groups with spheres as boundary | Bartels, A. and Weinberger, S. | 2010 | Journal of Differential Geometry 86 (1) | 1-16 | |||

The Structure of Crossed Products of Irrational Rotation Algebras by Finite Subgroups of SL_{2}(Z) |
Echterhoff, S., Philipps, C. and Walters, S. | 2010 | Crelle's Journal für reine und angewandte Mathematik 639 | 173-221 | dvi pdf | ||

Obstructions to fibering a manifold | Farrell, T and Steimle, W. | 2010 | Geometriae Dedicata 148 (1) | 35-69 | dvi pdf | ||

L^2-Torsion, the measure-theoretic determinant conjecture, and uniform measure equivalence | Sauer, R. and Wegner, C. | 2010 | Journal of Topology and Analysis 2 (2) | 145-171 | |||

Topological rigidity for non-aspherical manifolds | Kreck, M. | 2009 | Journal of Pure and Applied Mathematics Quaterly 5 (3), special issue in honor of Friedrich Hirzebruch part 2, | 873-914 | dvi pdf | ||

On the classifying space of the family of finite and of virtually cyclic subgroups for CAT}(0)-groups | 2009 | Münster Journal for Mathematics 2 | 201-214 | dvi pdf | |||

On the Farrell-Jones Conjecture and related conjectures | 2009 | extended notes of six talks presented at the summer school "Cohomology of groups and algebraic K-theory", Hangzhou, China, July 1 until July 12 in 2007, arXiv:math.KT/0710.2269, Advanced Lectures in Mathematics 12, International Press, | 269-341 | dvi pdf | |||

On crossed product rings with twisted involutions, their module categories and L-theory | Bartels, A. | 2009 | Proceedings of the summer school "Cohomology of groups and algebraic K-theory", Hangzhou, China, July 1 until July 12 in 2007, Advanced Lectures in Mathematics 12, International Press | 1-55 | dvi pdf | ||

Groups of small homological dimension and the Atiyah Conjecture | Kropholler, P. and Linnell, P. | 2009 | Proceedings of the Symposium ``Geometry and Cohomology in Group Theory'', Durham, July 2003, editors: Bridson, M, Kropholler, P. H. and Leary, I. J., LMS Lecture Notes Series 358, Cambridge University Press | 272-277 | dvi pdf | ||

The K-theoretic Farrell-Jones Conjecture for hyperbolic groups | Bartels, A. and Reich, H. | 2008 | Inventiones mathematicae 172 | 29-70 | dvi pdf | ||

Equivariant covers for hyperbolic groups | Bartels, A. and Reich, H. | 2008 | Geometry and Topology 12 | 1799-1882 | |||

On the Farrell-Jones Conjecture and its applications | Bartels, A. and Reich, H. | 2008 | Journal of Topology 1 | 57-86 | dvi pdf | ||

Inheritance of Isomorphism Conjectures under colimits | Bartels, A. and Echterhoff, S. | 2008 | Proceedings of the conference `K-theory and non-commutative geometry` in Valladolid, August/September 2006, EMS Series of Congress reports, editors: Cortinaz, Cuntz, Karoubi, Nest, Weibel, European Mathematical Society | 41-70 | dvi pdf | ||

Free entropy dimension in amalgamated free products | Brown, N. P., Dykema, K. J. and Jung, K. (main authors) | 2008 | Proc. Lond. Math. Soc. 97 | 339-367 | |||

The Farrell-Jones Conjecture in algebraic K- and L-theory | 2008 | L' Enseignment Mathématique 54 (2) | 140-141 | ||||

Rational Computations of the Topological K-Theory of Classifying Spaces of Discrete Groups | 2007 | Crelle's Journal für reine und angewandte Mathematik 611 | 163-187 | dvi pdf | |||

Induction theorems and isomorphism conjectures for K- and L-theory | Bartels, A. | 2007 | Forum 19 | 379-406 | dvi pdf | ||

Persönliches Protokoll zur Zeitschrift "K-Theory" (English: A personal record concerning the K-Theory journal) including a letter by Matthias Kreck | 2007 | DMV-Mitteilungen 2007, Heft 3 | pdf (German) pdf (English) |
||||

Detecting K-theory by cyclic homology | Reich, H. | 2006 | Proceedings of the LMS 93 | 593-634 | dvi pdf | ||

Isomorphisms Conjecture for homotopy K-theory and groups acting on trees | Bartels, A. | 2006 | Journal of Pure and Applied Algebra 205 (3) | 660-696 | dvi pdf | ||

Equivariant cohomological Chern characters | 2005 | International Journal of Algebra and Computation 15 | 1025-1052 | dvi pdf | |||

The Burnside ring and Equivariant Stable Cohomotopy for Infinite Groups | 2005 | Journal of Pure and Applied Mathematics Quaterly 1, {3} | 479-541 | dvi pdf | |||

K- and L-theory of the semi-direct product of the discrete three-dimensional Heisenberg group by Z/4 | 2005 | Geometry and Topology 9 | 1639-1679 | dvi pdf | |||

Approximating L²-signatures by their compact analogues | Schick, T. | 2005 | Forum Math. 17 | 31-65 | dvi pdf | ||

The p-chain spectral sequence | Davis, J. | 2003 | K-theory 30 | 71-104 | dvi pdf | ||

Commuting smash products and homotopy limits | Reich, H. and Varisco, M. | 2003 | K-theory 30 | 137-165 | dvi pdf | ||

The Ore condition, affiliated operators, and the lamplighter group | Linnell, P. and Schick, T. | 2003 | Proceedings of the conference "Topology of high-dimensional manifolds", ICTP, June 2001, Trieste, World Scientific | 315-321 | dvi pdf | ||

Equivariant Euler characteristics and K-homology Euler classes for proper cocompact G-manifolds | Rosenberg, J. | 2003 | Geometry and Topology, Volume 7, Paper no 16, http://www.maths.warwick.ac.uk/gt/GTvol7/paper16.abs.html | 569-613 | dvi pdf | ||

The equivariant Lefschetz fixed point theorem for proper cocompact G-manifolds | Rosenberg, J. | 2003 | Proceedings of the conference "Topology of high-dimensional manifolds", ICTP, June 2001, Trieste, World Scientific | 322-361 | dvi pdf | ||

Various L²-signatures and a topological L²-signature theorem | Schick, T. | 2003 | Proceedings of the conference "Topology of high-dimensional manifolds", ICTP, June 2001, Trieste, World Scientific | 362-399 | dvi pdf | ||

The relation between the Baum-Connes Conjecture and the Trace Conjecture | 2002 | Inventiones Math. 149 | 123-152 | dvi pdf | |||

Chern characters for proper equivariant homology theories and applications to K- and L-theory | 2002 | Crelle's Journal für reine und angewandte Mathematik 543 | 193-234 | dvi pdf | |||

A Caveat on the Isomorphism Conjecture in L-Theory | Farrell, T., Jones, L. | 2002 | Forum Math. 14 | 413-418 | dvi pdf | ||

On the cut and paste property of higher signatures of a closed oriented manifold | Kreck, M. and Leichtnam, E. | 2002 | Topology 41 | 725-744 | dvi pdf | ||

The completion theorem in K-theory for proper actions of a discrete group | Oliver, R. | 2001 | Topology 40 | 585-616 | dvi pdf | ||

Chern characters for equivariant K-theory of proper G-CW-complexes | Oliver, R. | 2001 | Proceedings of the conference "Cohomological methods in homotopy theory", Barcelona June 1998, editors: Aguade, J., Broto, C, Casacuberta, C., Progress in Mathematics 196, Birkhäser | 217-247 | dvi pdf | ||

The type of the classifying space for a family of subgroups | 2000 | J. of Pure and Applied Algebra 149 | 177-203 | dvi pdf | |||

On the universal space for group actions with compact isotropy | Meintrup, D. | 2000 | Proceedings of the conference "Geometry and Topology" in Aarhus, August 1998, editors: K. Grove, I. Madsen and E. Pedersen, Contemporary Mathematics 258, AMS | 293-305 | dvi pdf | ||

Computations of K- and L-theory of cocompact planar groups | Stamm, R. | 2000 | K-theory 21 | 249-292 | dvi pdf | ||

The universal functorial Lefschetz invariant | 1999 | Fundamenta Mathematicae 161 | 167-215 | dvi pdf | |||

Novikov-Shubin invariants for arbitrary group actions and their positivity | Reich, H. and Schick, T. | 1999 | in "Tel Aviv Topology Conference: Rothenberg Festschrift", international conference on topology, June 1-5, 1998, Tel Aviv, Contemporary Mathematics 231 | 159-176 | dvi pdf | ||

L²-torsion of hyperbolic manifolds of finite volume | Schick, T. | 1999 | GAFA 9 | 518-567 | dvi pdf | ||

Dimension theory of arbitrary modules over finite von Neumann algebras and L²-Betti numbers I: Foundations | 1998 | Crelle's Journal für reine und angewandte Mathematik 495 | 135-162 | dvi pdf | |||

Dimension theory of arbitrary modules over finite von Neumann algebras and L²-Betti numbers II: Applications to Grothendieck groups, L²-Euler characteristics and Burnside groups | 1998 | Crelle's Journal für reine und angewandte Mathematik 496 | 213-236 | dvi pdf | |||

Spaces over a Category, Assembly Maps in Isomorphism Conjecture in K-and L-Theory | Davis, J. | 1998 | K-Theory 15 | 201-251 | dvi pdf | ||

Torsion and fibrations | Schick, T. and Thielmann, T. | 1998 | Crelle's Journal für reine und angewandte Mathematik 498 | 1-33 | dvi pdf | ||

Hilbert modules and modules over finite von Neumann algebras and applications to L²-invariants | 1997 | Math. Annalen 309 | 247-285 | dvi pdf | |||

Das Jones-Polynom und Entwirrungsinvarianten in der Knotentheorie | 1997 | Math. Semesterberichte 44 | 37-72 | dvi ps | |||

Existence of finitely dominated CW-complexes with G_{1}(X) = π_{1}(X) and non-vanishing finiteness obstruction |
Müller, A. | 1997 | Manusc. math. 93 | 535-538 | dvi pdf | ||

Stable Prime Decompositions of Four-Manifolds | Kreck, M. and Teichner, P. | 1995 | "Prospects in topology", Proceedings of a conference in honour of William Browder, Princeton, March 1994, Annals of Mathematics Studies 138, Princeton University Press (1995) | 251-269 | dvi pdf | ||

Counterexamples to the Kneser conjecture in dimension four | Kreck, M. and Teichner, P. | 1995 | Comm. Math. Helvetici 70 | 423-433 | dvi pdf | ||

L²-topological invariants of 3-manifolds | Lott, J. | 1995 | Inventiones Math. 120 | 15-60 | dvi pdf | ||

Approximating L²-invariants by their finite-dimensional analogues | 1994 | GAFA 4 | 455-481 | dvi pdf | |||

L²-Betti numbers of mapping tori and groups | 1994 | Topology 33 | 203-214 | dvi pdf | |||

L²-torsion and 3-manifolds | 1994 | Conference Proceedings and Lecture Notes in Geometry and Topology Volume III "Low-dimensional topology", Knoxville 1992, editor: Klaus Johannson, International Press | 75-107 | dvi pdf | |||

Analytic and algebraic torsion for manifolds with boundary and symmetries | 1993 | J. of Diff. Geom. 37 | 263-322 | dvi pdf | |||

Algebraic K-theory of von Neumann algebras | Roerdam, M. | 1993 | K-theory 7 | 517-536 | dvi pdf | ||

Surgery obstructions of fibre bundles | Ranicki, A. | 1992 | J. of Pure and Applied Algebra 81 | 139-189 | dvi pdf | ||

Reidemeister torsion and the K-theory of von Neumann algebras | Rothenberg, M. | 1991 | K-theory 5 | 213-264 | dvi pdf | ||

The involution on the equivariant Whitehead group | Connolly, F. | 1990 | K-Theory 3 | 123-140 | |||

Equivariant L-theory I | Madsen, I. | 1990 | Math. Zeitschrift 203 | 503-526 | |||

Equivariant L-theory II | Madsen, I. | 1990 | Math. Zeitschrift 204 | 253-268 | |||

Equivariant Lefschetz classes | Laitinen, E. | 1989 | Osaka J. Math. 26 | 491-525 | |||

Chain homotopy projections | Ranicki, A. | 1989 | J. of Algebra 120 | 361-391 | |||

The equivariant degree | 1988 | Konferenzbericht der Göttinger Topologie Tagung 1987 (Editor: tom Dieck), Lecture Notes in Mathematics 1361, Springer | 123-166 | ||||

Equivariant Reidemeister torsion and homotopy representations | 1988 | Math. Gott. 15 | |||||

The surgery transfer | Ranicki, A. | 1988 | Konferenzbericht der Göttinger Topologie Tagung 1987 (Editor: tom Dieck), Lecture Notes in Mathematics 1361, Springer | 167-246 | |||

Equivariant Eilenberg-MacLane spaces K(G, \mu , 1) for possibly non-connected or empty fixed point sets | 1987 | Manusc. Math. 58 | 67-75 | ||||

The geometric finiteness obstruction | 1987 | Proc of the LMS 54 | 367-384 | ||||

The transfer maps induced in the algebraic K_{0}- and K_{1}-groups by a fibration II |
1987 | J. of Pure and Applied Algebra 45 | 143-169 | ||||

The transfer maps induced in the algebraic K_{0}- and K_{1}-groups by a fibration I |
1986 | Math. Scand. 59 | 93-121 | ||||

Eine allgemeine algebraische Beschreibung des Transfers für Faserungen auf projektiven Klassengruppen und Whiteheadgruppen | 1984 | Ph. D. thesis, Göttingen | 185 |

Preprints | |||||||
---|---|---|---|---|---|---|---|

Title | Coauthors | Year | Journal | Pages | |||

Algebraic K-theory of reductive p-adic groups | Bartels, A. | 2023 | arXiv:2306.03452 [math.KT] | 91 | |||

Inheritance properties of the K-theoretic Farrell-Jones Conjecture for totally disconnected groups | Bartels, A. | 2023 | arXiv:2306.01510 [math.KT] | 34 | |||

Recipes to compute the algebraic K-theory of Hecke algebras | Bartels, A. | 2023 | arXiv:2306.01510 [math.KT] | 20 | |||

Almost equivariant maps for td-groups | Bartels, A. | 2023 | arXiv:2306.00727 [math.GT] | 28 | |||

On manifold models for the classifying space for proper actions | Davis, J. | 2022 | preprint, arXiv:2303.15765 [math.GT] | 39 | |||

On Brown's Problem, Poincare models for the classifying spaces for proper action and Nielsen Realization | 2022 | preprint, arXiv:2201.10807 [math.AT] | 50 | ||||

Vanishing of Nil-terms and negative K-theory for additive categories | Bartels, A. | 2020 | Preprint, arXiv:2002.03412 [math.KT] | 64 |

Survey Articles | |||||||
---|---|---|---|---|---|---|---|

Title | Coauthors | Year | Journal | Pages | |||

Some problems and conjectures about {$L^2$}-invariants | Kistein, Dominik and Kremer, Christian | 2023 | Preprint, arXiv:2311.17830 [math.AT] | 41 pages | |||

Survey on L^2-invariants and 3-manifolds | 2021 | Bulletin of the LMS 53, 1583 -- 1620, 2021 | 38 pages | ||||

Assembly maps | 2019 | Handbook of Homotopy Theory, editor: Haynes Miller, CRC Press/Chapman and Hall | 853--892 | ||||

Groups and polytopes | Friedl, S. and Tillmann, S. | 2019 | Breadth in contemporary topology, 5777, Proc. Sympos. Pure Math., 102, | 77-97 | |||

Survey on analytic and topological torsion | 2015 | in "The Legacy of Bernhard Riemann After One Hundred and Fifty Years" , Advanced Lectures in Mathematics 35, Higher Education Press, Bejing | 379-416 | ||||

Survey on approximating L^2-invariants by their classical counterparts: Betti numbers, torsion invariants and homological growth | 2016 | EMSS 3 | 269-344 | ||||

Some open problems about aspherical closed manifolds | 2014 | Trends in contemporary mathematics 8 | 33-46 | ||||

Aspherical manifolds | 2012 | Bulletin of the Manifold Atlas 2012 | 1-17 | ||||

Survey on aspherical manifolds | 2010 | Proceedings of the 5-th European Congress of Mathematics Amsterdam 14 -18 July 2008, editors: Andre Ran, Herman te Riele, Hermann and Jan Wiegerinck, EMS | 53-82 | ||||

L²-invariants from the algebraic point of view | 2009 | Proceedings of the Symposium ``Geometry and Cohomology in Group Theory'', Durham, July 2003, editors: Bridson, M, Kropholler, P. H. and Leary, I. J., LMS Lecture Notes Series 358, Cambridge University Press | 63-161 | dvi pdf | |||

Survey on geometric group theory | 2008 | Münster Journal of mathematics 1 | 73-108 | dvi pdf | |||

The Baum-Connes and the Farrell-Jones Conjectures in K- and L-theory | Reich, H. | 2005 | Handbook of K-theory Volume 2, editors: E.M. Friedlander, D.R. Grayson, Springer | 703-842 | dvi pdf | ||

Survey on classifying spaces for families of subgroups | 2004 | in "Infinite Groups: Geometric, Combinatorial and Dynamical Aspects", Progress in Mathematics, Vol. 248, Birkhäuser (2005) | 269-322 | dvi pdf | |||

A basic introduction to surgery theory | 2002 | ICTP Lecture Notes Series 9, Band 1, of the school "High-dimensional manifold theory" in Trieste, May/June 2001, Abdus Salam International Centre for Theoretical Physics, Trieste | 1-224 | dvi pdf | |||

L²-invariants of regular coverings of compact manifolds and CW-complexes | 2002 | in "Handbook of geometric topology", editors: Davermann, R.J. and Sher, R.B., Elsevier | 735-817 | dvi pdf | |||

L²-Invariants and Their Applications to Geometry, Group Theory and Spectral Theory | 2001 | in "Mathematics Unlimited - 2001 and Beyond", Springer (2001) | 859-871 | dvi pdf | |||

L²-Invarianten von Mannigfaltigkeiten und Gruppen | 1997 | Jber. d. Dt. Math.-Verein. 99 | 101-109 | dvi pdf | |||

Knoten und Polynome: Ein Beispiel für die Wechselbeziehung zwischen Geometrie und Algebra | Epple,M. | 1994 | Preprint, Mainz | 20 pages |

Books | |||||||
---|---|---|---|---|---|---|---|

Title | Coauthors | Year | Publisher | Pages | |||

Proper equivariant stable homotopy theory | Degrijse, D., Hausmann, M., Patchkoria, I., and Schwede, S | 2023 | Memoirs of the American Mathematical Society 288 | 142 | |||

Equivariant cohomology of configuration spaces mod 2 | Blagojevic, P., Crabb, M.,Cohen, F. Ziegler, G. | 2021 | Lecture Notes in Mathematics 2282 (Springer) | 208 | |||

Algebraische Topologie: Homologie und Mannigfaltigkeiten | 2005 | Vieweg Studium -Aufbaukurs Mathematik, Vieweg | 266 | pdf (Table of contents and Introduction) | |||

The Novikov Conjecture: Geometry and Algebra | Kreck, M. | 2005 | Oberwolfach Seminars 33, Birkhäuser | 287 | pdf ps (Table of contents and Introduction) | ||

L²-Invariants: Theory and Applications to Geometry and K-Theory | 2002 | Ergebnisse der Mathematik und ihrer Grenzgebiete 44, Springer | 620 | pdf (Preface and Introduction) pdf (Errata, version 10.11.2023) | |||

Transformation groups and algebraic K-theory | 1989 | Lecture Notes in Mathematics vol. 1408 | 444 |

Slides of talks and presentations | |||||||
---|---|---|---|---|---|---|---|

Title | Coauthors | Year | Occasion | Pages | |||

The Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups | August 2023 | Buenos Aires / Bonn | 24 | ||||

The Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups | December 2022 | Princeton | 30 | ||||

A Panorama of L^2-Invariants | May 2022 | Euler-Vorlesung Potsdam | 40 | ||||

Presentation of two topics for Bachelor thesis | December 2021 | 10 | |||||

Introduction to the Farrell-Jones Conjecture | July 2021 | Topology seminar of the MPI in Bonn | 31 | ||||

The Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups | June 2021 | Edinburgh | 38 | ||||

The Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups | May 2021 | Copenhagen | 28 | ||||

Groups meet $C^*$-algebras, an appetizer | June 2020 | Kolloquium Wilhelm Killing, Münster | 52 | ||||

Die Sprache, die Faszination und die Bedeutung der Mathematik | May 2020 | Virtuelle Bonner Mathenacht, Bonn | 82 | ||||

Die Sprache, die Faszination und die Bedeutung der Mathematik | Juli 2019 | Brücken in der Mathematik, Münster | 80 | ||||

L^2-Betti numbers and their applications | April 2019 | Distinguished Lecture series at University of Notre Dame, Notre Dame, U.S.A. | 104 | ||||

The stable Cannon Conjecture | April 2019 | 2019 Bloomington Geometry Workshop, Bloomington, U.S.A | 32 | ||||

Introduction to the Farrell-Jones Conjecture | April 2019 | Distinguished Lecture series at Indiana University, Bloomington, U.S.A. | 33 | ||||

L^2-Betti numbers and their applications | April 2019 | Distinguished Lecture series at Indiana University, Bloomington, U.S.A. | 76 | ||||

Introduction to 3-manifolds | January 2019 | Topology of manifold: Interactions between high and low dimensions, Matrix Institute, Creswick, Australia | 32 | ||||

Introduction to hyperbolic groups | January 2019 | Topology of manifold: Interactions between high and low dimensions, Matrix Institute, Creswick, Australia | 38 | ||||

Topological rigidity | January 2019 | Topology of manifold: Interactions between high and low dimensions, Matrix Institute, Creswick, Australia | 35 | ||||

L^2-invariants | January 2019 | 51 | |||||

The stable Cannon Conjecture | January 2019 | 33 | |||||

The stable Cannon Conjecture | December 2018 | Workshop Manifolds, Cambridge | 31 | ||||

Classifying spaces for families and the Farrell-Jones Conjecture | November 2018 | Colloquium on the occasion of tom Dieck's 80th birthday, Göttingen | 34 | ||||

The stable Cannon Conjecture | July 2018 | Workshop Topology, Oberwolfach | 26 | ||||

The stable Cannon Conjecture | May 2018 | Workshop on Large Scale Geometry and Applications, Fields Institute, Toronto | 26 | ||||

Introduction to L^2-invariants | February 2018 | Inaugural Colloquium of the Thematic program "L^2-invariants and their analogues in positive characteristic", Madrid | 37 | ||||

Introduction to middle K-theory | October 2017 | Oberwolfach Seminar "Algebraic K- and L-theory and geometric group theory", MFO | 35 | ||||

Introduction to surgery theory | October 2017 | Oberwolfach Seminar "Algebraic K- and L-theory and geometric group theory", MFO | 38 | ||||

Classifying spaces for families | October 2017 | Oberwolfach Seminar "Algebraic K- and L-theory and geometric group theory", MFO | 47 | ||||

The Farrell-Jones Conjecture | October 2017 | Oberwolfach Seminar "Algebraic K- and L-theory and geometric group theory", MFO | 39 | ||||

Applications of the Farrell-Jones Conjecture | October 2017 | Oberwolfach Seminar "Algebraic K- and L-theory and geometric group theory", MFO | 42 | ||||

The stable Cannon Conjecture | October 2017 | Oberwolfach Seminar "Algebraic K- and L-theory and geometric group theory", MFO | 25 | ||||

Hyperbolic groups with spheres as boundary and a stable version of the Cannon Conjecture | September 2017 | Conference "manifolds and groups", Regensburg | 27 | ||||

The Carreer and Impact of Ib Madsen | April 2017 | Copenhagen | 30 | pdf mp4 mp4 mp4 mp4 mp4 mp4 mp4 | |||

Introduction to the Farrell-Jones Conjecture | March 2017 | Paris 7 | 29 | ||||

Survey on approximating L^2-invariants | December 2016 | HIM, Bonn | 36 | ||||

The L^2-torsion function and the Thurston norm of 3-manifolds | December 2015 | Topology Seminar, Münster | 44 | ||||

Introduction to L^2-Betti numbers | November 2015 | Colloquium, Düsseldorf | 31 | ||||

Survey on L^2-invariants | November 2015 | BICMR-HCM: Beijing meets Bonn | 31 | ||||

Aspherical manifolds. What we know and what we do not know. | September 2015 | Clay Research Conference Algebraic Topology: manifolds unlocking higher structures, Oxford | 35 | ||||

Survey on L^2-torsion | September 2015 | Workshop Manifolds and Groups, Ventotene | 43 | ||||

Introduction to the Farrell-Jones Conjecture | July 2015 | PIMS Symposium on the Geometry and Topology of Manifolds, Vancouver | 29 | ||||

Universal torsion, L^2-invariants, polytopes and the Thurston norm | July 2015 | PIMS Symposium on the Geometry and Topology of Manifolds, Vancouver | 39 | ||||

Universal torsion, L^2-invariants, polytopes and the Thurston norm | June 2015 | The 32nd Annual Workshop in Geometric Topology, Fort Worth | 39 | ||||

Introduction to the Farrell-Jones Conjecture | June 2015 | The 32nd Annual Workshop in Geometric Topology, Fort Worth | 29 | ||||

Introduction to L^2-invariants | June 2015 | The 32nd Annual Workshop in Geometric Topology, Fort Worth | 45 | ||||

Was und wie zählt man im Alltag und in der modernen Mathematik? | December 2014 | Kolloquium zur Didaktik der Mathematik, Karlsruhe | cir. 74 | ||||

Hyperbolic groups with spheres as boundary | November 2014 | Geometry and Topology Seminar, Warrick | 33 | ||||

Was und wie zählt man im Alltag und in der modernen Mathematik? | June 2014 | Kolloquium über Geschichte und Didaktik der Mathematik, Münster | cir. 74 | ||||

Was und wie zählt man im Alltag und in der modernen Mathematik? | Januar 2014 | Hausdorff-Vorlesung im Krupp Kollegium in Greifswald | cir. 65 | ||||

On Hyperbolic groups with spheres as boundary | October 2013 | CUNY, New York | 31 | ||||

Survey on the Farrell-Jones Conjecture | October 2013 | Courant Institute, New York | 28 | ||||

On Hyperbolic groups with spheres as boundary | October 2013 | Conference Geometry, Groups and Topology 2013, Karlsruhe | 31 | ||||

K_0 and Wall's finiteness obstruction, Lecture I | August 2013 | Topology of high-dimensional manifolds, Summer School in Bonn | cir. 25 | ||||

K_1 and Whitehead torsion, Lecture II | August 2013 | Topology of high-dimensional manifolds, Summer School in Bonn | cir. 30 | ||||

The Isomorphism Conjectures in the torsionfree case, Lecture III | August 2013 | Topology of high-dimensional manifolds, Summer School in Bonn | cir. 30 | ||||

The Isomorphism Conjectures in general, Lecture IV | August 2013 | Topology of high-dimensional manifolds, Summer School in Bonn | cir. 30 | ||||

Status and Methods of Proof, Lecture V | August 2013 | Topology of high-dimensional manifolds, Summer School in Bonn | cir. 35 | ||||

Lower and middle algebraic K-theory, Lecture I | June 2012 | Topology and Groups, Summer School in Berlin | cir. 30 | ||||

The Isomorphism Conjectures in the torsionfree case, Lecture II | June 2012 | Topology and Groups, Summer School in Berlin | cir. 30 | ||||

The Isomorphism Conjectures in general, Lecture III | June 2012 | Topology and Groups, Summer School in Berlin | cir. 30 | ||||

Status and Methods of Proof, Lecture IV | June 2012 | Topology and Groups, Summer School in Berlin | cir. 30 | ||||

Die Sprache, die Faszination und die Bedeutung der Mathematik | December 2011 | Antrittsvorlesung Bonn | 63 | ||||

Introduction to Algebraic K-theory (Lecture I) | June 2011 | Summer school Geodesic Flow, Negative Curvature and Isomorphism Conjectures in Göttingen | 30 | ||||

The Farrell-Jones Conjecture (Lecture II) | June 2011 | Summer school Geodesic Flow, Negative Curvature and Isomorphism Conjectures in Göttingen | 32 | ||||

Strategy of proof: From Farrell-Jones to flow spaces (Lecture III) | June 2011 | Summer school Geodesic Flow, Negative Curvature and Isomorphism Conjectures in Göttingen | 28 | ||||

The flow space associated to a CAT(0)-space (Lecture IV) | June 2011 | Summer school Geodesic Flow, Negative Curvature and Isomorphism Conjectures in Göttingen | 35 | ||||

On the Farrell-Jones Conjecture and its applications | November 2010 | Conference K-theory, C*-algebras, index theory in Göttingen | 29 | ||||

K- and L-theory of group rings | August 2010 | Topology section, ICM 2010, Hyderabad | 27 | ||||

Lebendige Mathematik, auch abseits des Lehrplans? | March 2010 | 101. MNU Kongress, Bielefeld | |||||

SFB-Begutachtung | March 2010 | Münster | |||||

On hyperbolic groups with spheres as boundary | January 2010 | Copenhagen Topology Conference | 28 | ||||

On hyperbolic groups with spheres as boundary | November 2009 | Kolloquium, Bonn | 27 | ||||

Warum bin ich eigentlich Mathematiker geworden? | September 2009 | 3. Bildungskongress Münster: Individuelle Förderung multipler Begabungen, Münster | 44 | ||||

Das Chamäleon Mathematik | September 2009 | Nodrhein-Westfälische Akademie der Wissenschaften und Künste, Düsseldorf | 99 | ||||

Introduction to the Farrell-Jones Conjectures | August 2009 | 3 talks at the Summerschool Geometry and Rigidity of groups, Münster | 81 | ||||

Die Sprache, die Faszination und die Bedeutung der Mathematik | Januar 2009 | Veranstaltung am Gymasium Paulinum in Münster | 70 | ||||

Topological rigidity | November 2008 | BMS-Friday, Berlin | 38 | ||||

Die Sprache, die Faszination und die Bedeutung der Mathematik | November 2008 | Veranstaltung zum Jahr der Mathematik, Bremen | 66 | ||||

Topological rigidity of aspherical manifolds | July 2008 | 5-th European Congress of Mathematics, Amsterdam | 29 | ||||

Die Sprache, die Faszination und die Bedeutung der Mathematik | June 2008 | Veranstaltung zum Jahr der Mathematik und zum 60. Geburtstag von Andrew Ranicki, Münster | 95 | ||||

Presentation of the topology group Münster | June 2008 | Evaluation of the department for mathematics and computer science of the WWU Münster | 10 | ||||

Topological rigidity | May 2008 | Colloquium de Mathematiques, Jussieu, Paris | 34 | ||||

On the conjectures of Bost and of Baum-Connes and the generalized trace conjecture | May 2008 | Seminar operator algebras, Jussieu, Paris | 31 | ||||

Presentation of the topology group Münster | April 2008 | (Internal) Presentations of projects for a SFB-proposal in Münster | 28 | ||||

On The Borel Conjecture and related topics | February/March 2008 | Talks in Stanford, Berkeley, Chicago, Binghamton and New York | 29 | ||||

Burnside rings, equivariant homotopy and the Segal Conjecture for infinite groups | March 2008 | AMS-meeting 2008 New York | 34 | ||||

Isomorphism Conjecture in K- and L-theory (all six lectures in one printable file) | July 2007 | "Cohomology of groups and algebraic K-theory", international summer school in Hangzhou, China | 210 | ||||

Lower and middle K-theory in topology (Lecture I) | July 2007 | "Cohomology of groups and algebraic K-theory", international summer school in Hangzhou, China | 30 | ||||

The Isomorphism Conjectures in the torsionfree case (Lecture II) | July 2007 | "Cohomology of groups and algebraic K-theory", international summer school in Hangzhou, China | 35 | ||||

Classifying spaces for families (Lecture III) | July 2007 | "Cohomology of groups and algebraic K-theory", international summer school in Hangzhou, China | 35 | ||||

Equivariant homology theories (Lecture IV) | July 2007 | "Cohomology of groups and algebraic K-theory", international summer school in Hangzhou, China | 36 | ||||

The Isomorphism Conjectures for arbitrary groups (Lecture V) | July 2007 | "Cohomology of groups and algebraic K-theory", international summer school in Hangzhou, China | 33 | ||||

Summary, status and outlook (Lecture VI) | July 2007 | "Cohomology of groups and algebraic K-theory", international summer school in Hangzhou, China | 41 | ||||

Isomorphism Conjecture in K- and L-theory | June 2007 | Joint UMI-DMV-meeting, Perugia | 20 | ||||

Inheritance of Isomorphism Conjectures under colimits | May 2007 | Münster | 53 | ||||

The K-theoretic Farrell-Jones Conjecture for hyperbolic groups | April 2007 | Zürich | 31 | ||||

The Farrell-Jones Conjecture and its applications | March 2007 | Oxford | 29 | ||||

Topological rigidity for non-aspherical manifolds | February 2007 | Banff | 22 | ||||

Equivariant Chern characters | November 2006 | Göttingen | 22 | ||||

Erfahrungen eines Hochschullehrers mit dem Lehramtsstudium | September 2006 | Minisymposium Lehrerausbildung DMV-Tagung Bonn | 10 | ||||

The Farrell Conjecture for algebraic K-theory with arbitrary coefficients for word-hyperbolic groups | September 2006 | ICM06 Satellite on "K-theory and Noncommutative Geometry", Valladolid | 19 | ||||

Equivariant homology theory and assembly maps | July 2006 | Conference "Surgery theory: past, present and future", Edinburgh (Wall's 70-th birthday) | 36 | dvi pdf | |||

A survey on classifying spaces for families | June 2004 | Workshop "Classifying spaces for families", Münster | 32 | dvi pdf | |||

A survey on the Baum-Connes Conjecture | June 2004 | giornata INdAM, Rome | 38 | dvi pdf | |||

A panorama on L²-Invariants | May 2004 | SUP-Symposium Oslo | 72 | dvi pdf | |||

L²-Invariants | July 2003 | Geometry and Cohomology in Group Theory, LMS Durham Symposium, Durham | 70 | dvi pdf | |||

Chern characters and applications to K- and L-theory | June 2003 | International Conference on Group Theory: combinatorial, geometric and dynamical aspects of infinite groups, Gaeta (Italy) | 18 | dvi pdf | |||

Lectures on L²-Betti numbers (slides for lecture 1 to 3) | October 2001 | Lectures at Rencontres-Mathematiques, Lyon | 73 | dvi pdf | |||

A basic introduction to surgery theory (slides for lecture 1 to 6) | May/June 2001 | Lectures at the summer school "High dimensional manifold theory" in Trieste | 107 | dvi pdf |

Manuscripts/slides of courses and seminars | |||||||
---|---|---|---|---|---|---|---|

Title | Coauthors | Year | Occasion | Pages | |||

The stable Cannon Conjecture | July 2018 | lecture course "Invariants of knots and 3-manifolds:", Bonn | 35 | ||||

L^2-invariants and 3-manifolds | June 2018 | lecture course "Invariants of knots and 3-manifolds:", Bonn | 77 | ||||

Classical torsion and L^2-torsion | May 2018 | lecture course "Invariants of knots and 3-manifolds:", Bonn | 78 | ||||

Introduction to L^2-Betti numbers | April 2018 | lecture course "Invariants of knots and 3-manifolds:", Bonn | 66 | ||||

Introduction to surgery theory | April 2018 | lecture course "Invariants of knots and 3-manifolds:", Bonn | 52 | ||||

Cobordism theory and the s-cobordism theorem | April 2018 | lecture course "Invariants of knots and 3-manifolds:", Bonn | 48 | ||||

Survey on 3-manifolds | April 2018 | lecture course "Invariants of knots and 3-manifolds:", Bonn | 44 | ||||

Groups, Geometry and Actions: Classifying spaces for families | Summer term 2010 | Topic of a course at Münster | 34 | ||||

Groups, Geometry and Actions: Algebraic K-theory | Summer term 2010 | Topic of a course at Münster | 77 | ||||

Groups, Geometry and Actions: Isomorphism Conjectures | Summer term 2010 | Topic of a course at Münster | 89 | ||||

Isomorphism Conjectures in K- and L-theory | Winter term 2008 | Course at Münster | 315 | ||||

L²-cohomology | February 2004 | von Neumann algebras, C.I.R.M. Luminy | 16 | dvi pdf | |||

Hyperbolische Gruppen | October 2003 | Oberseminar Topologie, Münster | 10 | dvi pdf | |||

K-Theorie | Sommersemester 1998 | Seminar Topologie, Münster | 103 | ||||

On the Casson invariant, the Jones polynomial and its connection to quantum field theory | Sommersemester 1988 | Vorlesung, Göttingen | 96 | ps |