Edit Profile (opens in new tab) Williams, Bruce Compute Distance To: Compute Author ID: williams.bruce Published as: Williams, Bruce; Williams, E. B.; Williams, E. Bruce; Williams, B.; Williams, Bruce E.; William, B. more...less Homepage: http://www3.nd.edu/~bruce/ External Links: MGP Documents Indexed: 46 Publications since 1974, including 5 Books 1 Contribution as Editor Co-Authors: 20 Co-Authors with 40 Joint Publications 261 Co-Co-Authors all top 5 Co-Authors 4 single-authored 17 Taylor, Laurence Robert 10 Weiss, Michael S. 8 Klein, John Robert 7 Hambleton, Ian 4 Hughes, C. Bruce 3 Hughes, Bruce 2 Badzioch, Bernard 2 Dorabiała, Wojciech 2 Goette, Sebastian 2 Hüttemann, Thomas 2 Igusa, Kiyoshi 2 Madsen, Ib Henning 2 Milgram, Richard James 2 Vogell, Wolrad 2 Waldhausen, Friedhelm 2 Weinberger, Shmuel 1 Clausse, Alejandro 1 Connolly, Francis X. 1 Curtis, Morton L. 1 de Bertodano, Martin López 1 Dwyer, William G. 1 Fullmer, William D. 1 Ransom, Victor H. 1 Rigdon, Robert D. 1 Taylor, Larry W. 1 Wiederhold, Alan all top 5 Serials 4 Journal of Pure and Applied Algebra 3 Transactions of the American Mathematical Society 2 Advances in Mathematics 2 Topology 2 Forum Mathematicum 2 Geometry & Topology 1 Acta Mathematica 1 Canadian Mathematical Bulletin 1 Commentarii Mathematici Helvetici 1 Compositio Mathematica 1 Geometriae Dedicata 1 Journal of Algebra 1 Mathematica Scandinavica 1 Mathematische Zeitschrift 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 \(K\)-Theory 1 Algebraic & Geometric Topology 1 Oberwolfach Reports 1 Algebra & Number Theory 1 Journal of Topology all top 5 Fields 38 Manifolds and cell complexes (57-XX) 20 Algebraic topology (55-XX) 19 \(K\)-theory (19-XX) 11 Category theory; homological algebra (18-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 2 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Topological groups, Lie groups (22-XX) 1 Fluid mechanics (76-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 300 times in 203 Documents Cited by ▼ Year ▼ A parametrized index theorem for the algebraic \(K\)-theory Euler class. Zbl 1077.19002Dwyer, W.; Weiss, M.; Williams, B. 39 2003 Surgery with finite fundamental group. Zbl 0665.57026Hambleton, I.; Milgram, R. J.; Taylor, L.; Williams, B. 17 1988 Automorphisms of manifolds and algebraic K-theory. I. Zbl 0664.57012Weiss, Michael; Williams, Bruce 15 1988 Homotopical intersection theory. I. Zbl 1132.57024Klein, John R.; Williams, E. Bruce 13 2007 Neighborhoods in stratified spaces with two strata. Zbl 0954.57008Hughes, Bruce; Taylor, Laurence R.; Weinberger, Shmuel; Williams, Bruce 13 2000 Detection theorems for K-theory and L-theory. Zbl 0718.18006Hambleton, I.; Taylor, Laurence; Williams, Bruce 13 1990 Automorphisms of manifolds and algebraic K-theory. II. Zbl 0691.57012Weiss, Michael; Williams, Bruce 12 1989 Bivariant Riemann Roch theorems. Zbl 0976.57027Williams, Bruce 11 2000 Bundle theories for topological manifolds. Zbl 0704.57012Hughes, C. B.; Taylor, L. R.; Williams, E. B. 11 1990 Assembly. Zbl 0955.55004Weiss, Michael; Williams, Bruce 10 1995 Automorphisms of manifolds. Zbl 0971.57040Weiss, Michael; Williams, Bruce 10 2001 Duality in Waldhausen categories. Zbl 0910.19001Weiss, Michael; Williams, Bruce 10 1998 Tangential homotopy equivalences. Zbl 0451.57018Madsen, Ib; Taylor, Laurence R.; Williams, Bruce 10 1980 The “fundamental theorem” for the algebraic \(K\)-theory of spaces. I. Zbl 0982.19001Hüttemann, Thomas; Klein, John R.; Vogell, Wolrad; Waldhausen, Friedhelm; Williams, Bruce 9 2001 Normalizers of maximal tori. Zbl 0301.22007Curtis, Morton; Wiederhold, Alan; Williams, Bruce 9 1974 Homotopical intersection theory. II: Equivariance. Zbl 1185.57031Klein, John R.; Williams, Bruce 8 2010 An introduction to maps between surgery obstruction groups. Zbl 0556.57026Hambleton, Ian; Taylor, Laurence; Williams, Bruce 8 1984 Manifold approximate fibrations are approximately bundles. Zbl 0728.55009Hughes, C. Bruce; Taylor, Laurence R.; Williams, E. Bruce 7 1991 Embeddings up to homotopy type and geometric suspensions of manifolds. Zbl 0408.57017Connolly, Francis X.; Williams, Bruce 6 1978 Quadratic \(K\)-theory and geometric topology. Zbl 1109.19002Williams, Bruce 6 2005 Equivalence of higher torsion invariants. Zbl 1223.57018Badzioch, Bernard; Dorabiała, Wojciech; Klein, John R.; Williams, Bruce 5 2011 On \(G_ n(RG)\) for G a finite nilpotent group. Zbl 0658.16019Hambleton, I.; Taylor, L. R.; Williams, E. B. 5 1988 Two-fluid model stability, simulation and chaos. Zbl 1374.76002de Bertodano, Martin López; Fullmer; William; Clausse, Alejandro; Ransom, Victor H. 5 2017 The “fundamental theorem” for the algebraic \(K\)-theory of spaces. II: The canonical involution. Zbl 1001.19001Hüttemann, Thomas; Klein, John R.; Vogell, Wolrad; Waldhausen, Friedhelm; Williams, Bruce 5 2002 Hopf invariants, localization and embeddings of Poincaré complexes. Zbl 0523.57008Williams, Bruce 4 1979 Smooth parametrized torsion: A manifold approach. Zbl 1166.19001Badzioch, Bernard; Dorabiała, Wojciech; Williams, Bruce 4 2009 Surgery spaces: formulae and structure. Zbl 0491.57013Taylor, Laurence; Williams, Bruce 4 1979 Dress induction and the Burnside quotient Green ring. Zbl 1213.19001Hambleton, Ian; Taylor, Laurence R.; Williams, Bruce 4 2009 Mackey functors and bisets. Zbl 1238.20009Hambleton, I.; Taylor, L. R.; Williams, E. B. 4 2010 Applications of unstable normal invariants. I. Zbl 0402.57029Williams, Bruce 4 1979 Rigidity of fibrations over nonpositively curved manifolds. Zbl 0858.57025Hughes, C. B.; Taylor, L. R.; Williams, E. B. 4 1995 Products and duality in Waldhausen categories. Zbl 0936.19001Weiss, Michael S.; Williams, Bruce 4 2000 Automorphisms of manifolds and algebraic \(K\)-theory. III. Zbl 1401.57044Weiss, Michael S.; Williams, Bruce E. 3 2014 The refined transfer, bundle structures, and algebraic \(K\)-theory. Zbl 1172.55005Klein, John R.; Williams, Bruce 3 2009 Bounded homeomorphisms over Hadamard manifolds. Zbl 0810.57016Hughes, C. B.; Taylor, L. R.; Williams, E. B. 3 1993 Exotic smooth structures on topological fiber bundles. I. Zbl 1311.57037Goette, Sebastian; Igusa, Kiyoshi; Williams, Bruce 2 2014 The “fundamental theorem” for the algebraic \(K\)-theory of spaces. III: The nil-term. Zbl 1147.19003Klein, John R.; Williams, E. Bruce 1 2008 Examples of exotic stratifications. Zbl 1136.57012Hughes, Bruce; Taylor, Laurence R.; Weinberger, Shmuel; Williams, Bruce 1 2007 Pro-excisive functors. Zbl 0955.55005Weiss, Michael; Williams, Bruce 1 1995 Embeddings and immersions of manifolds. Zbl 0402.57018Rigdon, Robert; Williams, Bruce 1 1978 Tangential homotopy equivalences. (Preprint). Zbl 0413.57011Madsen, Ib; Taylor, Laurence R.; Williams, Bruce 1 1979 Local surgery: Foundations and applications. Zbl 0428.57011Taylor, Laurence; Williams, Bruce 1 1979 Report 16/2006: Arbeitsgemeinschaft mit aktuellem Thema: Higher Torsion Invariants in Differential Topology and Algebraic \(K\)-Theory (April 2nd – April 8th, 2006). Zbl 1109.19301 1 2006 Controlled homeomorphisms over nonpositively curved manifolds. Zbl 0969.57018Hughes, Bruce; Taylor, Larry; Williams, Bruce 1 2000 Two-fluid model stability, simulation and chaos. Zbl 1374.76002de Bertodano, Martin López; Fullmer; William; Clausse, Alejandro; Ransom, Victor H. 5 2017 Automorphisms of manifolds and algebraic \(K\)-theory. III. Zbl 1401.57044Weiss, Michael S.; Williams, Bruce E. 3 2014 Exotic smooth structures on topological fiber bundles. I. Zbl 1311.57037Goette, Sebastian; Igusa, Kiyoshi; Williams, Bruce 2 2014 Equivalence of higher torsion invariants. Zbl 1223.57018Badzioch, Bernard; Dorabiała, Wojciech; Klein, John R.; Williams, Bruce 5 2011 Homotopical intersection theory. II: Equivariance. Zbl 1185.57031Klein, John R.; Williams, Bruce 8 2010 Mackey functors and bisets. Zbl 1238.20009Hambleton, I.; Taylor, L. R.; Williams, E. B. 4 2010 Smooth parametrized torsion: A manifold approach. Zbl 1166.19001Badzioch, Bernard; Dorabiała, Wojciech; Williams, Bruce 4 2009 Dress induction and the Burnside quotient Green ring. Zbl 1213.19001Hambleton, Ian; Taylor, Laurence R.; Williams, Bruce 4 2009 The refined transfer, bundle structures, and algebraic \(K\)-theory. Zbl 1172.55005Klein, John R.; Williams, Bruce 3 2009 The “fundamental theorem” for the algebraic \(K\)-theory of spaces. III: The nil-term. Zbl 1147.19003Klein, John R.; Williams, E. Bruce 1 2008 Homotopical intersection theory. I. Zbl 1132.57024Klein, John R.; Williams, E. Bruce 13 2007 Examples of exotic stratifications. Zbl 1136.57012Hughes, Bruce; Taylor, Laurence R.; Weinberger, Shmuel; Williams, Bruce 1 2007 Report 16/2006: Arbeitsgemeinschaft mit aktuellem Thema: Higher Torsion Invariants in Differential Topology and Algebraic \(K\)-Theory (April 2nd – April 8th, 2006). Zbl 1109.19301 1 2006 Quadratic \(K\)-theory and geometric topology. Zbl 1109.19002Williams, Bruce 6 2005 A parametrized index theorem for the algebraic \(K\)-theory Euler class. Zbl 1077.19002Dwyer, W.; Weiss, M.; Williams, B. 39 2003 The “fundamental theorem” for the algebraic \(K\)-theory of spaces. II: The canonical involution. Zbl 1001.19001Hüttemann, Thomas; Klein, John R.; Vogell, Wolrad; Waldhausen, Friedhelm; Williams, Bruce 5 2002 Automorphisms of manifolds. Zbl 0971.57040Weiss, Michael; Williams, Bruce 10 2001 The “fundamental theorem” for the algebraic \(K\)-theory of spaces. I. Zbl 0982.19001Hüttemann, Thomas; Klein, John R.; Vogell, Wolrad; Waldhausen, Friedhelm; Williams, Bruce 9 2001 Neighborhoods in stratified spaces with two strata. Zbl 0954.57008Hughes, Bruce; Taylor, Laurence R.; Weinberger, Shmuel; Williams, Bruce 13 2000 Bivariant Riemann Roch theorems. Zbl 0976.57027Williams, Bruce 11 2000 Products and duality in Waldhausen categories. Zbl 0936.19001Weiss, Michael S.; Williams, Bruce 4 2000 Controlled homeomorphisms over nonpositively curved manifolds. Zbl 0969.57018Hughes, Bruce; Taylor, Larry; Williams, Bruce 1 2000 Duality in Waldhausen categories. Zbl 0910.19001Weiss, Michael; Williams, Bruce 10 1998 Assembly. Zbl 0955.55004Weiss, Michael; Williams, Bruce 10 1995 Rigidity of fibrations over nonpositively curved manifolds. Zbl 0858.57025Hughes, C. B.; Taylor, L. R.; Williams, E. B. 4 1995 Pro-excisive functors. Zbl 0955.55005Weiss, Michael; Williams, Bruce 1 1995 Bounded homeomorphisms over Hadamard manifolds. Zbl 0810.57016Hughes, C. B.; Taylor, L. R.; Williams, E. B. 3 1993 Manifold approximate fibrations are approximately bundles. Zbl 0728.55009Hughes, C. Bruce; Taylor, Laurence R.; Williams, E. Bruce 7 1991 Detection theorems for K-theory and L-theory. Zbl 0718.18006Hambleton, I.; Taylor, Laurence; Williams, Bruce 13 1990 Bundle theories for topological manifolds. Zbl 0704.57012Hughes, C. B.; Taylor, L. R.; Williams, E. B. 11 1990 Automorphisms of manifolds and algebraic K-theory. II. Zbl 0691.57012Weiss, Michael; Williams, Bruce 12 1989 Surgery with finite fundamental group. Zbl 0665.57026Hambleton, I.; Milgram, R. J.; Taylor, L.; Williams, B. 17 1988 Automorphisms of manifolds and algebraic K-theory. I. Zbl 0664.57012Weiss, Michael; Williams, Bruce 15 1988 On \(G_ n(RG)\) for G a finite nilpotent group. Zbl 0658.16019Hambleton, I.; Taylor, L. R.; Williams, E. B. 5 1988 An introduction to maps between surgery obstruction groups. Zbl 0556.57026Hambleton, Ian; Taylor, Laurence; Williams, Bruce 8 1984 Tangential homotopy equivalences. Zbl 0451.57018Madsen, Ib; Taylor, Laurence R.; Williams, Bruce 10 1980 Hopf invariants, localization and embeddings of Poincaré complexes. Zbl 0523.57008Williams, Bruce 4 1979 Surgery spaces: formulae and structure. Zbl 0491.57013Taylor, Laurence; Williams, Bruce 4 1979 Applications of unstable normal invariants. I. Zbl 0402.57029Williams, Bruce 4 1979 Tangential homotopy equivalences. (Preprint). Zbl 0413.57011Madsen, Ib; Taylor, Laurence R.; Williams, Bruce 1 1979 Local surgery: Foundations and applications. Zbl 0428.57011Taylor, Laurence; Williams, Bruce 1 1979 Embeddings up to homotopy type and geometric suspensions of manifolds. Zbl 0408.57017Connolly, Francis X.; Williams, Bruce 6 1978 Embeddings and immersions of manifolds. Zbl 0402.57018Rigdon, Robert; Williams, Bruce 1 1978 Normalizers of maximal tori. Zbl 0301.22007Curtis, Morton; Wiederhold, Alan; Williams, Bruce 9 1974 all cited Publications top 5 cited Publications all top 5 Cited by 194 Authors 17 Klein, John Robert 15 Williams, Bruce 10 Muranov, Yuriĭ Vladimirovich 8 Hambleton, Ian 8 Malkiewich, Cary 7 Weiss, Michael S. 6 Lück, Wolfgang 6 Steimle, Wolfgang 5 Crowley, Diarmuid John 5 Friedman, Greg 5 Hughes, Bruce 5 Igusa, Kiyoshi 5 Macko, Tibor 5 Repovš, Dušan D. 4 Cavicchioli, Alberto 4 Dorabiała, Wojciech 4 Farrell, F. Thomas 4 Khan, Qayum 4 Spaggiari, Fulvia 4 Taylor, Laurence Robert 3 Badzioch, Bernard 3 Bouc, Serge 3 Chen, Huixiang 3 Crabb, Michael C. 3 Davis, James Frederic 3 Dotto, Emanuele 3 Goette, Sebastian 3 Goodwillie, Thomas Gehret 3 Hüttemann, Thomas 3 Jiménez Benitez, Rolando 3 Karoubi, Max 3 Kwasik, Sławomir 3 Land, Markus 3 Merling, Mona 3 Ponto, Kate 3 Randal-Williams, Oscar 3 Raptis, George 3 Webb, David L. 3 Weinberger, Shmuel 2 Akhmet’ev, Pëtr Mikhaĭlovich 2 Ayala, David 2 Barker, Laurence 2 Berrick, A. Jon 2 Bunke, Ulrich 2 Francis, John 2 Hebestreit, Fabian 2 Jahren, Bjørn 2 Pedersen, Erik Kjær 2 Kuhn, Nicholas J. 2 Madsen, Ib Henning 2 McClure, James E. 2 Munson, Brian A. 2 Nikolaus, Thomas 2 Ohrt, Christopher 2 Østvær, Paul Arne 2 Ranicki, Andrew Alexander 2 Reich, Holger 2 Rognes, John 2 Schultz, Reinhard E. 2 Ullmann, Mark 2 Winges, Christoph 2 Zhang, Weiping 2 Zhang, Yeping 2 Zhu, Jialin 1 Adams, Jeffrey David 1 Ahearn, Stephen T. 1 Álvarez Gavela, Daniel 1 Andersen, Kasper K. S. 1 Anderson, Douglas Ross 1 Aouina, Mokhtar 1 Balko, Ľudovít 1 Banagl, Markus 1 Bartel, Alex 1 Bartels, Arthur C. 1 Barwick, Clark 1 Basu, Samik 1 Belegradek, Igor 1 Bergner, Julie 1 Bergsaker, Håkon Schad 1 Boyer, Steven 1 Brun, Morten 1 Bryant, John Logan 1 Bustamante, Mauricio 1 Calmès, Baptiste 1 Cardim, Nancy S. 1 Carlsson, Gunnar E. 1 Chen, Beifang 1 Chu, Chenghao 1 Cohen, Ralph L. 1 Connolly, Francis X. 1 Connolly, Frank 1 Cornea, Octav 1 Coşkun, Olcay 1 Coufal, Vesta 1 Dai, Xianzhe 1 Daverman, Robert J. 1 Dokchitser, Tim 1 Douglas, Christopher L. 1 Dranishnikov, Alexander Nikolaevich 1 Dundas, Bjørn Ian ...and 94 more Authors all top 5 Cited in 61 Serials 17 Transactions of the American Mathematical Society 15 Advances in Mathematics 14 Algebraic & Geometric Topology 11 Journal of Pure and Applied Algebra 11 Topology and its Applications 10 Geometry & Topology 8 Proceedings of the American Mathematical Society 7 Geometriae Dedicata 7 Mathematische Annalen 7 \(K\)-Theory 6 Mathematical Notes 6 Journal of Algebra 6 Mathematische Zeitschrift 5 Journal of Fixed Point Theory and Applications 5 Journal of Topology 5 Annals of \(K\)-Theory 4 Inventiones Mathematicae 4 Forum Mathematicum 3 Israel Journal of Mathematics 2 Communications in Algebra 2 Duke Mathematical Journal 2 Memoirs of the American Mathematical Society 2 Selecta Mathematica. New Series 2 Documenta Mathematica 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Journal of the Institute of Mathematics of Jussieu 2 Journal of Homotopy and Related Structures 2 Journal of Topology and Analysis 1 Bulletin of the Australian Mathematical Society 1 Communications on Pure and Applied Mathematics 1 Chaos, Solitons and Fractals 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Compositio Mathematica 1 Czechoslovak Mathematical Journal 1 Glasgow Mathematical Journal 1 Journal of Combinatorial Theory. Series A 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Monatshefte für Mathematik 1 Nagoya Mathematical Journal 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Publications of the Research Institute for Mathematical Sciences, Kyoto University 1 Transactions of the Moscow Mathematical Society 1 Journal of the American Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Bulletin des Sciences Mathématiques 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Electronic Research Announcements of the American Mathematical Society 1 Algebras and Representation Theory 1 Journal of the European Mathematical Society (JEMS) 1 Journal of High Energy Physics 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Proceedings of the Steklov Institute of Mathematics 1 Analysis & PDE 1 Journal of \(K\)-Theory 1 Research in the Mathematical Sciences 1 Journal de l’École Polytechnique – Mathématiques all top 5 Cited in 19 Fields 119 Manifolds and cell complexes (57-XX) 97 Algebraic topology (55-XX) 85 \(K\)-theory (19-XX) 36 Category theory; homological algebra (18-XX) 23 Group theory and generalizations (20-XX) 11 Global analysis, analysis on manifolds (58-XX) 10 Associative rings and algebras (16-XX) 6 Algebraic geometry (14-XX) 6 General topology (54-XX) 5 Topological groups, Lie groups (22-XX) 3 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 1 Commutative algebra (13-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) Citations by Year