Publications

A list of all publications is available as pdf-File
Bib-Database (version 2024/11/19 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 pdf
Lehmer's Problem for arbitrary groups 2022 Journal of Topology and Anylysis 14 901–932 pdf
A vanishing theorem for tautological classes of aspherical manifolds Hebestreit, F. Land, M. and Randal-Williams, O. 2021 Geometry & Topology 25-2 47--110 pdf
Manifolds homotopy equivalent to certain torus bundles over lens spaces Davis, J. 2021 Communications on Pure and Applied Mathematics 74 (11), 2348–2397 pdf
K- and L-theory of graph products of groups Kasprowski,D. and Li, K. 2021 GGD 15(1) 269--311 pdf
The Segal Conjecture for infinite groups 2020 Algebraic & Geometric Topology 20-2 965--986 pdf
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 pdf
On the stable Cannon Conjecture Ferry, S. and Weinberger, S. 2019 Journal of Topology 12 798-831 pdf
L^2-Euler characteristics and the Thurston norm Friedl, S. 2019 Proceedings of the LMS 118 857-900 pdf
The L^2-torsion function and the Thurston norm of 3-manifolds Friedl, S. 2019 Commentarii Mathematici Helvetici 94 21-52 pdf
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 pdf
Twisting L^2-invariants with finite-dimensional representations 2018 Journal of Topology and Analysis 10(4) 723-816 pdf
Approximately fibering a manifold over an aspherical one Farrell, T and Steimle, W. 2018 Math. Annalen 370 669-726 pdf
Localization, Whitehead groups, and the Atiyah Conjecture Linnell, P. 2018 Annals of K-theory 3 33-53 pdf
Universal L^2-torsion, polytopes and applications to 3-manifolds Friedl, S. 2017 Proc. of LMS 114 1114-1151 pdf
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 pdf
The Farrell-Jones conjecture for arbitrary lattices in virtually connected Lie groups Kammeyer, Rueping 2016 Geometry and Topology 20 (3) 1275-1287 pdf
Splitting the relative assembly map, Nil-terms and involutions Steimle, W. 2016 Annals of K-theory 4 339-377 pdf
The L^2-Alexander torsion of 3-manifolds Dubois, J. and Friedl, S. 2016 Journal of Topology 9(3) 889-926 pdf
A twisted Bass-Heller-Swan decomposition for the non-connective K-theory of additive categories Steimle, W. 2016 Forum 28 129-174 pdf
On highly regular embeddings Blagojevic, P.V.M. and Ziegler, G.M. 2016 Transactions of the AMS 368(4) 2891--2912 pdf
The L^2-Alexander is symmetric Dubois, J. and Friedl, S. 2015 AGT 15 (6) 3599-3612 pdf
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 pdf
Equivariant Topology of Configuration Spaces Blagojevic, P.V.M. and Ziegler, G.M. 2015 Journal of Topology 8 (2) 414-456 pdf
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 pdf
Estimates for spectral density functions of matrices over C[Z^d]) 2015 Annales math\'ematiques Blaise Pascal, 22 no. 1 73-88 pdf
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 pdf
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 pdf
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 pdf
The first L^2-Betti number and approximation in arbitrary characteristic Ershov, M. 2014 Documenta 19 313-331 pdf
On the spectral density function of the Laplacian of a graph Koch, H. 2014 Expositiones Mathematicae 32 178-189 pdf
On the K- and L-theory of hyperbolic and virtually finitely generated abelian groups Rosenthal, D. 2014 Forum Math.26 1565-1609 pdf
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 pdf
Equivariant principal bundles and their classifying spaces Uribe, B. 2014 AGT 1925-1995 pdf
Approximating L^2-invariants and homology growth 2013 GAFA 23 (2) (2013) 622-663 pdf
The topological K-theory of certain crystallographic groups Davis, J.F. 2013 Journal of Non-Commutative Geometry 7 373-431 pdf
Topological K-(co-)homology of classifying spaces of discrete groups Joachim, M. 2013 Algebraic & Geometric Topology 13 1-34 pdf
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 pdf
The Farrell-Hsiang method revisited Bartels, A. 2012 Mathematische Annalen 354 209-226 pdf
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 pdf
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 pdf
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 pdf
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 pdf
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 pdf
Approximating the first L2-betti number of residually finite groups Osin, D. 2011 Journal of Topology and Analysis 3 (2) 153-160 pdf
Euler characteristics of categories and homotopy colimits Fiore, T. and Sauer, R. 2011 Documenta Mathematica 16 301-354 pdf
Finiteness obstructions and Euler characteristics of categories Fiore, T. and Sauer, R. 2011 Advances of Mathematics 226 2371-2469 pdf
On hyperbolic groups with spheres as boundary Bartels, A. and Weinberger, S. 2010 Journal of Differential Geometry 86 (1) 1-16 pdf
The Structure of Crossed Products of Irrational Rotation Algebras by Finite Subgroups of SL2(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 pdf
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 pdf
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 pdf
The Farrell-Jones Conjecture in algebraic K- and L-theory   2008 L' Enseignment Mathématique 54 (2) 140-141 pdf
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 G1(X) = π1(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  pdf
Equivariant L-theory I Madsen, I. 1990 Math. Zeitschrift 203 503-526  pdf
Equivariant L-theory II Madsen, I. 1990 Math. Zeitschrift 204 253-268  pdf
Equivariant Lefschetz classes Laitinen, E. 1989 Osaka J. Math. 26 491-525  pdf
Chain homotopy projections Ranicki, A. 1989 J. of Algebra 120 361-391  pdf
The equivariant degree   1988 Konferenzbericht der Göttinger Topologie Tagung 1987 (Editor: tom Dieck), Lecture Notes in Mathematics 1361, Springer 123-166  pdf
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  pdf
Equivariant Eilenberg-MacLane spaces K(G, \mu , 1) for possibly non-connected or empty fixed point sets   1987 Manusc. Math. 58 67-75  pdf
The geometric finiteness obstruction   1987 Proc of the LMS 54 367-384  pdf
The transfer maps induced in the algebraic K0- and K1-groups by a fibration II   1987 J. of Pure and Applied Algebra 45 143-169  pdf
The transfer maps induced in the algebraic K0- and K1-groups by a fibration I   1986 Math. Scand. 59 93-121  pdf
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  
Character theory and Euler characteristic for orbispaces and infinite groups Patchkoria, I. and Schwede, S. 2024 arXiv:1607.03557 [math.KT] 50 pdf
Relative assembly maps and the K-theory of Hecke algebras in prime characteristic 2024 arXiv:2402.05278 [math.KT], to appear in Math. Annalen 44 pdf
Algebraic K-theory of reductive p-adic groups Bartels, A. 2023 arXiv:2306.03452 [math.KT] 91 pdf
Inheritance properties of the K-theoretic Farrell-Jones Conjecture for totally disconnected groups Bartels, A. 2023 arXiv:2306.01510 [math.KT] 34 pdf
Recipes to compute the algebraic K-theory of Hecke algebras Bartels, A. 2023 arXiv:2306.01510 [math.KT], to appear in Algebraic and Geometric Topology 20 pdf
Almost equivariant maps for td-groups Bartels, A. 2023 arXiv:2306.00727 [math.GT], to appear in GGD 28 pdf
Nielsen realization and manifold models for classifying spaces Davis, J. 2023 preprint, arXiv:2303.15765 [math.GT], to appear in Transactions of the American Mathematical Society 39 pdf
On Brown's Problem, Poincare models for the classifying spaces for proper action and Nielsen Realization 2022 preprint, arXiv:2201.10807 [math.AT] 50 pdf
Vanishing of Nil-terms and negative K-theory for additive categories Bartels, A. 2020 Preprint, arXiv:2002.03412 [math.KT], to appear in Proceedings A of the Royal Society of Edinburgh 64 pdf

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], to appear in Contemporary Mathematics (CONM), book series of the AMS. 41 pages pdf
Survey on L^2-invariants and 3-manifolds 2021 Bulletin of the LMS 53, 1583 -- 1620, 2021 38 pages pdf
Assembly maps 2019 Handbook of Homotopy Theory, editor: Haynes Miller, CRC Press/Chapman and Hall 853--892 pdf
Groups and polytopes Friedl, S. and Tillmann, S. 2019 Breadth in contemporary topology, 57–77, Proc. Sympos. Pure Math., 102, 77-97 pdf
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 pdf
Survey on approximating L^2-invariants by their classical counterparts: Betti numbers, torsion invariants and homological growth 2016 EMSS 3 269-344 pdf
Some open problems about aspherical closed manifolds 2014 Trends in contemporary mathematics 8 33-46 pdf
Aspherical manifolds 2012 Bulletin of the Manifold Atlas 2012 1-17 pdf
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 pdf
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  
Surgery Theory: Foundations Macko, Tibor 2024 Grundlehren der mathematischen Wissenschaften 362 (Springer) iv + 956 pdf  (Preface and Introduction) pdf  (Chapter S-Cobordism Theorem) pdf  (References) pdf  (index)
Proper equivariant stable homotopy theory Degrijse, D., Hausmann, M., Patchkoria, I., and Schwede, S 2023 Memoirs of the American Mathematical Society 288 142 pdf
Equivariant cohomology of configuration spaces mod 2 Blagojevic, P., Crabb, M.,Cohen, F. Ziegler, G. 2021 Lecture Notes in Mathematics 2282 (Springer) 208 pdf
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  pdf

Slides of talks and presentations
Title Coauthors Year Occasion Pages  
A survey on L^2-torsion   September 2024 Conference "Analytic torsion and interactions", Münster 68 pdf
A survey on L^2-invariants and their applications to algebra, geometry, and group theory   July 2024 Conference "Topology", Oberwolfach 47 pdf
Survey on L^2-torsion and its (future) applications   May 2024 Conference on "Homology Growth in Topology and Group Theory", Bonn 47 pdf
The Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups   August 2023 Buenos Aires / Bonn 24 pdf
The Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups   December 2022 Princeton 30 pdf
A Panorama of L^2-Invariants   May 2022 Euler-Vorlesung Potsdam 40 pdf
Presentation of two topics for Bachelor thesis   December 2021 10 pdf
Introduction to the Farrell-Jones Conjecture   July 2021 Topology seminar of the MPI in Bonn 31 pdf
The Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups   June 2021 Edinburgh 38 pdf
The Farrell-Jones Conjecture for the Hecke algebras of reductive p-adic groups   May 2021 Copenhagen 28 pdf
Groups meet $C^*$-algebras, an appetizer   June 2020 Kolloquium Wilhelm Killing, Münster 52 pdf
Die Sprache, die Faszination und die Bedeutung der Mathematik   May 2020 Virtuelle Bonner Mathenacht, Bonn 82 pdf
Die Sprache, die Faszination und die Bedeutung der Mathematik   Juli 2019 Brücken in der Mathematik, Münster 80 pdf
L^2-Betti numbers and their applications   April 2019 Distinguished Lecture series at University of Notre Dame, Notre Dame, U.S.A. 104 pdf
The stable Cannon Conjecture   April 2019 2019 Bloomington Geometry Workshop, Bloomington, U.S.A 32 pdf
Introduction to the Farrell-Jones Conjecture   April 2019 Distinguished Lecture series at Indiana University, Bloomington, U.S.A. 33 pdf
L^2-Betti numbers and their applications   April 2019 Distinguished Lecture series at Indiana University, Bloomington, U.S.A. 76 pdf
Introduction to 3-manifolds   January 2019 Topology of manifold: Interactions between high and low dimensions, Matrix Institute, Creswick, Australia 32 pdf
Introduction to hyperbolic groups   January 2019 Topology of manifold: Interactions between high and low dimensions, Matrix Institute, Creswick, Australia 38 pdf
Topological rigidity   January 2019 Topology of manifold: Interactions between high and low dimensions, Matrix Institute, Creswick, Australia 35 pdf
L^2-invariants   January 2019 Topology of manifold: Interactions between high and low dimensions, Matrix Institute, Creswick, Australia 51 pdf
The stable Cannon Conjecture   January 2019 Topology of manifold: Interactions between high and low dimensions, Matrix Institute, Creswick, Australia 33 pdf
The stable Cannon Conjecture   December 2018 Workshop Manifolds, Cambridge 31 pdf
Classifying spaces for families and the Farrell-Jones Conjecture   November 2018 Colloquium on the occasion of tom Dieck's 80th birthday, Göttingen 34 pdf
The stable Cannon Conjecture   July 2018 Workshop Topology, Oberwolfach 26 pdf
The stable Cannon Conjecture   May 2018 Workshop on Large Scale Geometry and Applications, Fields Institute, Toronto 26 pdf
Introduction to L^2-invariants   February 2018 Inaugural Colloquium of the Thematic program "L^2-invariants and their analogues in positive characteristic", Madrid 37 pdf
Introduction to middle K-theory   October 2017 Oberwolfach Seminar "Algebraic K- and L-theory and geometric group theory", MFO 35 pdf
Introduction to surgery theory   October 2017 Oberwolfach Seminar "Algebraic K- and L-theory and geometric group theory", MFO 38 pdf
Classifying spaces for families   October 2017 Oberwolfach Seminar "Algebraic K- and L-theory and geometric group theory", MFO 47 pdf
The Farrell-Jones Conjecture   October 2017 Oberwolfach Seminar "Algebraic K- and L-theory and geometric group theory", MFO 39 pdf
Applications of the Farrell-Jones Conjecture   October 2017 Oberwolfach Seminar "Algebraic K- and L-theory and geometric group theory", MFO 42 pdf
The stable Cannon Conjecture   October 2017 Oberwolfach Seminar "Algebraic K- and L-theory and geometric group theory", MFO 25 pdf
Hyperbolic groups with spheres as boundary and a stable version of the Cannon Conjecture   September 2017 Conference "manifolds and groups", Regensburg 27 pdf
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 pdf
Survey on approximating L^2-invariants   December 2016 HIM, Bonn 36 pdf
The L^2-torsion function and the Thurston norm of 3-manifolds   December 2015 Topology Seminar, Münster 44 pdf
Introduction to L^2-Betti numbers   November 2015 Colloquium, Düsseldorf 31 pdf
Survey on L^2-invariants   November 2015 BICMR-HCM: Beijing meets Bonn 31 pdf
Aspherical manifolds. What we know and what we do not know.   September 2015 Clay Research Conference Algebraic Topology: manifolds unlocking higher structures, Oxford 35 pdf
Survey on L^2-torsion   September 2015 Workshop Manifolds and Groups, Ventotene 43 pdf
Introduction to the Farrell-Jones Conjecture   July 2015 PIMS Symposium on the Geometry and Topology of Manifolds, Vancouver 29 pdf
Universal torsion, L^2-invariants, polytopes and the Thurston norm   July 2015 PIMS Symposium on the Geometry and Topology of Manifolds, Vancouver 39 pdf
Universal torsion, L^2-invariants, polytopes and the Thurston norm   June 2015 The 32nd Annual Workshop in Geometric Topology, Fort Worth 39 pdf
Introduction to the Farrell-Jones Conjecture   June 2015 The 32nd Annual Workshop in Geometric Topology, Fort Worth 29 pdf
Introduction to L^2-invariants   June 2015 The 32nd Annual Workshop in Geometric Topology, Fort Worth 45 pdf
Was und wie zählt man im Alltag und in der modernen Mathematik?   December 2014 Kolloquium zur Didaktik der Mathematik, Karlsruhe cir. 74 pdf
Hyperbolic groups with spheres as boundary   November 2014 Geometry and Topology Seminar, Warrick 33 pdf
Was und wie zählt man im Alltag und in der modernen Mathematik?   June 2014 Kolloquium über Geschichte und Didaktik der Mathematik, Münster cir. 74 pdf
Was und wie zählt man im Alltag und in der modernen Mathematik?   Januar 2014 Hausdorff-Vorlesung im Krupp Kollegium in Greifswald cir. 65 pdf
On Hyperbolic groups with spheres as boundary   October 2013 CUNY, New York 31 pdf
Survey on the Farrell-Jones Conjecture   October 2013 Courant Institute, New York 28 pdf
On Hyperbolic groups with spheres as boundary   October 2013 Conference Geometry, Groups and Topology 2013, Karlsruhe 31 pdf
K_0 and Wall's finiteness obstruction, Lecture I   August 2013 Topology of high-dimensional manifolds, Summer School in Bonn cir. 25 pdf
K_1 and Whitehead torsion, Lecture II   August 2013 Topology of high-dimensional manifolds, Summer School in Bonn cir. 30 pdf
The Isomorphism Conjectures in the torsionfree case, Lecture III   August 2013 Topology of high-dimensional manifolds, Summer School in Bonn cir. 30 pdf
The Isomorphism Conjectures in general, Lecture IV   August 2013 Topology of high-dimensional manifolds, Summer School in Bonn cir. 30 pdf
Status and Methods of Proof, Lecture V   August 2013 Topology of high-dimensional manifolds, Summer School in Bonn cir. 35 pdf
Lower and middle algebraic K-theory, Lecture I   June 2012 Topology and Groups, Summer School in Berlin cir. 30 pdf
The Isomorphism Conjectures in the torsionfree case, Lecture II   June 2012 Topology and Groups, Summer School in Berlin cir. 30 pdf
The Isomorphism Conjectures in general, Lecture III   June 2012 Topology and Groups, Summer School in Berlin cir. 30 pdf
Status and Methods of Proof, Lecture IV   June 2012 Topology and Groups, Summer School in Berlin cir. 30 pdf
Die Sprache, die Faszination und die Bedeutung der Mathematik   December 2011 Antrittsvorlesung Bonn 63 pdf
Introduction to Algebraic K-theory (Lecture I)   June 2011 Summer school Geodesic Flow, Negative Curvature and Isomorphism Conjectures in Göttingen 30 pdf
The Farrell-Jones Conjecture (Lecture II)   June 2011 Summer school Geodesic Flow, Negative Curvature and Isomorphism Conjectures in Göttingen 32 pdf
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 pdf
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 pdf
On the Farrell-Jones Conjecture and its applications   November 2010 Conference K-theory, C*-algebras, index theory in Göttingen 29 pdf
K- and L-theory of group rings   August 2010 Topology section, ICM 2010, Hyderabad 27 pdf
Lebendige Mathematik, auch abseits des Lehrplans?   March 2010 101. MNU Kongress, Bielefeld   pdf
SFB-Begutachtung   March 2010 Münster   pdf
On hyperbolic groups with spheres as boundary   January 2010 Copenhagen Topology Conference 28 pdf
On hyperbolic groups with spheres as boundary   November 2009 Kolloquium, Bonn 27 pdf
Warum bin ich eigentlich Mathematiker geworden?   September 2009 3. Bildungskongress Münster: Individuelle Förderung multipler Begabungen, Münster 44 pdf
Das Chamäleon Mathematik   September 2009 Nodrhein-Westfälische Akademie der Wissenschaften und Künste, Düsseldorf 99 pdf
Introduction to the Farrell-Jones Conjectures   August 2009 3 talks at the Summerschool Geometry and Rigidity of groups, Münster 81 pdf
Die Sprache, die Faszination und die Bedeutung der Mathematik   Januar 2009 Veranstaltung am Gymasium Paulinum in Münster 70 pdf
Topological rigidity   November 2008 BMS-Friday, Berlin 38 pdf
Die Sprache, die Faszination und die Bedeutung der Mathematik   November 2008 Veranstaltung zum Jahr der Mathematik, Bremen 66 pdf
Topological rigidity of aspherical manifolds   July 2008 5-th European Congress of Mathematics, Amsterdam 29 pdf
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 pdf
Presentation of the topology group Münster   June 2008 Evaluation of the department for mathematics and computer science of the WWU Münster 10 pdf
Topological rigidity   May 2008 Colloquium de Mathematiques, Jussieu, Paris 34 pdf
On the conjectures of Bost and of Baum-Connes and the generalized trace conjecture   May 2008 Seminar operator algebras, Jussieu, Paris 31 pdf
Presentation of the topology group Münster   April 2008 (Internal) Presentations of projects for a SFB-proposal in Münster 28 pdf
On The Borel Conjecture and related topics   February/March 2008 Talks in Stanford, Berkeley, Chicago, Binghamton and New York 29 pdf
Burnside rings, equivariant homotopy and the Segal Conjecture for infinite groups   March 2008 AMS-meeting 2008 New York 34 pdf
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 pdf
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 pdf
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 pdf
Classifying spaces for families (Lecture III)   July 2007 "Cohomology of groups and algebraic K-theory", international summer school in Hangzhou, China 35 pdf
Equivariant homology theories (Lecture IV)   July 2007 "Cohomology of groups and algebraic K-theory", international summer school in Hangzhou, China 36 pdf
The Isomorphism Conjectures for arbitrary groups (Lecture V)   July 2007 "Cohomology of groups and algebraic K-theory", international summer school in Hangzhou, China 33 pdf
Summary, status and outlook (Lecture VI)   July 2007 "Cohomology of groups and algebraic K-theory", international summer school in Hangzhou, China 41 pdf
Isomorphism Conjecture in K- and L-theory   June 2007 Joint UMI-DMV-meeting, Perugia 20 pdf
Inheritance of Isomorphism Conjectures under colimits   May 2007 Münster 53 pdf
The K-theoretic Farrell-Jones Conjecture for hyperbolic groups   April 2007 Zürich 31 pdf
The Farrell-Jones Conjecture and its applications   March 2007 Oxford 29 pdf
Topological rigidity for non-aspherical manifolds   February 2007 Banff 22 pdf
Equivariant Chern characters   November 2006 Göttingen 22 pdf
Erfahrungen eines Hochschullehrers mit dem Lehramtsstudium   September 2006 Minisymposium Lehrerausbildung DMV-Tagung Bonn 10 pdf
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 pdf
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 pdf
L^2-invariants and 3-manifolds   June 2018 lecture course "Invariants of knots and 3-manifolds:", Bonn 77 pdf
Classical torsion and L^2-torsion   May 2018 lecture course "Invariants of knots and 3-manifolds:", Bonn 78 pdf
Introduction to L^2-Betti numbers   April 2018 lecture course "Invariants of knots and 3-manifolds:", Bonn 66 pdf
Introduction to surgery theory   April 2018 lecture course "Invariants of knots and 3-manifolds:", Bonn 52 pdf
Cobordism theory and the s-cobordism theorem   April 2018 lecture course "Invariants of knots and 3-manifolds:", Bonn 48 pdf
Survey on 3-manifolds   April 2018 lecture course "Invariants of knots and 3-manifolds:", Bonn 44 pdf
Groups, Geometry and Actions: Classifying spaces for families   Summer term 2010 Topic of a course at Münster 34 pdf
Groups, Geometry and Actions: Algebraic K-theory   Summer term 2010 Topic of a course at Münster 77 pdf
Groups, Geometry and Actions: Isomorphism Conjectures   Summer term 2010 Topic of a course at Münster 89 pdf
Isomorphism Conjectures in K- and L-theory   Winter term 2008 Course at Münster 315 pdf
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 pdf
On the Casson invariant, the Jones polynomial and its connection to quantum field theory   Sommersemester 1988 Vorlesung, Göttingen 96 ps