Edit Profile (opens in new tab) Higson, Nigel Co-Author Distance Author ID: higson.nigel Published as: Higson, Nigel; Higson, N. Homepage: http://www.personal.psu.edu/ndh2/math/Home.html External Links: MGP · Wikidata · GND · IdRef · theses.fr Documents Indexed: 71 Publications since 1987, including 2 Books and 1 Additional arXiv Preprint 3 Contributions as Editor Co-Authors: 42 Co-Authors with 57 Joint Publications 829 Co-Co-Authors all top 5 Co-Authors 17 single-authored 12 Roe, John 7 Guentner, Erik Paul 6 Baum, Paul Frank 4 Clare, Pierre 4 Crisp, Tyrone 4 Schick, Thomas 4 Subag, Eyal M. 3 Kasparov, Gennadi G. 3 Plymen, Roger J. 3 Song, Yanli 3 Yu, Guoliang 2 Bernstein, Joseph 2 Block, Jonathan L. 2 Bradd, Jacob 2 Brodzki, Jacek 2 Connes, Alain 2 Trout, Jody 1 Barbasch, Dan M. 1 Burago, Dmitri 1 Chamseddine, Ali Hani 1 Consani, Caterina 1 Cuntz, Joachim 1 Haj Saeedi Sadegh, Ahmad Reza 1 Hajac, Piotr M. 1 Ivanov, Sergei Vladimirovich 1 Khalkhali, Masoud 1 Pedersen, Erik Kjær 1 Lafforgue, Vincent 1 Landi, Giovanni 1 Mathai, Varghese 1 Moscovici, Henri 1 Nishikawa, Shintaro 1 Nistor, Victor 1 Román, Angel 1 Rørdam, Mikael 1 Sanchez, Jesus jun. 1 Skandalis, Georges 1 Tan, Qijun 1 Weinberger, Shmuel 1 Xie, Zhizhang 1 Yi, Zelin 1 Yuncken, Robert all top 5 Serials 4 Advances in Mathematics 4 \(K\)-Theory 3 Journal of Functional Analysis 3 International Journal of Mathematics 3 IMRN. International Mathematics Research Notices 3 Geometric and Functional Analysis. GAFA 3 Documenta Mathematica 2 Geometriae Dedicata 2 Pure and Applied Mathematics Quarterly 2 Japanese Journal of Mathematics. 3rd Series 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Journal of Geometry and Physics 1 Canadian Journal of Mathematics 1 Compositio Mathematica 1 Publications Mathématiques 1 Inventiones Mathematicae 1 Journal of Pure and Applied Algebra 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Topology 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Expositiones Mathematicae 1 Electronic Research Announcements of the American Mathematical Society 1 Representation Theory 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Geometry & Topology 1 Journal of the Institute of Mathematics of Jussieu 1 Clay Mathematics Proceedings 1 European Journal of Mathematics 1 Oxford Mathematical Monographs all top 5 Fields 48 Functional analysis (46-XX) 30 \(K\)-theory (19-XX) 20 Global analysis, analysis on manifolds (58-XX) 19 Topological groups, Lie groups (22-XX) 8 Group theory and generalizations (20-XX) 6 Manifolds and cell complexes (57-XX) 4 Algebraic geometry (14-XX) 4 Differential geometry (53-XX) 4 Algebraic topology (55-XX) 3 General and overarching topics; collections (00-XX) 3 Category theory; homological algebra (18-XX) 2 History and biography (01-XX) 2 Operator theory (47-XX) 2 Quantum theory (81-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Relativity and gravitational theory (83-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 1,846 times in 1,039 Documents Cited by ▼ Year ▼ Classifying space for proper actions and \(K\)-theory of group \(C^*\)- algebras. Zbl 0830.46061 Baum, Paul; Connes, Alain; Higson, Nigel 200 1994 Analytic K-homology. Zbl 0968.46058 Higson, Nigel; Roe, John 200 2000 \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0988.19003 Higson, Nigel; Kasparov, Gennadi 144 2001 Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043 Higson, N.; Lafforgue, V.; Skandalis, G. 127 2002 Amenable group actions and the Novikov conjecture. Zbl 0964.55015 Higson, Nigel; Roe, John 80 2000 Deformations, asymptotic morphisms and bivariant \(K\)-theory. (Déformations, morphismes asymptotiques et \(K\)-théorie bivariante.) Zbl 0717.46062 Connes, Alain; Higson, Nigel 78 1990 On the coarse Baum-Connes conjecture. Zbl 0957.58019 Higson, Nigel; Roe, John 63 1995 A coarse Mayer-Vietoris principle. Zbl 0792.55001 Higson, Nigel; Roe, John; Yu, Guoliang 63 1993 The Novikov conjecture for linear groups. Zbl 1073.19003 Guentner, Erik; Higson, Nigel; Weinberger, Shmuel 59 2005 Bivariant \(K\)-theory and the Novikov conjecture. Zbl 0962.46052 Higson, N. 42 2000 Equivariant \(E\)-theory for \(C^*\)-algebras. Zbl 0983.19003 Guentner, Erik; Higson, Nigel; Trout, Jody 42 2000 A characterization of KK-theory. Zbl 0645.46054 Higson, Nigel 41 1987 On the equivalence of geometric and analytic \(K\)-homology. Zbl 1146.19004 Baum, Paul; Higson, Nigel; Schick, Thomas 40 2007 Operator \(K\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0888.46046 Higson, Nigel; Kasparov, Gennadi 38 1997 Mapping surgery to analysis. I: Analytic signatures. Zbl 1083.19002 Higson, Nigel; Roe, John 33 2004 A Bott periodicity theorem for infinite dimensional Euclidean space. Zbl 0911.46040 Higson, Nigel; Kasparov, Gennadi; Trout, Jody 33 1998 Algebraic \(K\)-theory of stable \(C^*\)-algebras. Zbl 0635.46061 Higson, Nigel 33 1988 \(C^*\)-algebras and controlled topology. Zbl 0879.19003 Higson, Nigel; Pedersen, Erik Kjær; Roe, John 32 1997 Mapping surgery to analysis. III: Exact sequences. Zbl 1085.19002 Higson, Nigel; Roe, John 29 2004 Mapping surgery to analysis. II: Geometric signatures. Zbl 1083.19003 Higson, Nigel; Roe, John 28 2004 \(K\)-homology, assembly and rigidity theorems for relative eta invariants. Zbl 1227.19006 Higson, Nigel; Roe, John 27 2010 Group C\(^{\ast}\)-algebras and K-theory. Zbl 1053.46048 Higson, Nigel; Guentner, Erik 27 2004 The residue index theorem of Connes and Moscovici. Zbl 1120.58017 Higson, Nigel 26 2006 A note on the cobordism invariance of the index. Zbl 0731.58065 Higson, Nigel 25 1991 Weak amenability of CAT(0)-cubical groups. Zbl 1208.46054 Guentner, Erik; Higson, Nigel 20 2010 Euler-like vector fields, deformation spaces and manifolds with filtered structure. Zbl 1393.57018 Haj Saeedi Sadegh, Ahmad Reza; Higson, Nigel 20 2018 Parabolic induction and restriction via \(C^{\ast}\)-algebras and Hilbert \(C^{\ast}\)-modules. Zbl 1346.22005 Clare, Pierre; Crisp, Tyrone; Higson, Nigel 19 2016 Kuiper’s theorem for Hilbert modules. Zbl 0616.46066 Cuntz, Joachim; Higson, Nigel 18 1987 The local index formula in noncommutative geometry. Zbl 1122.58015 Higson, Nigel 17 2003 A geometric description of equivariant K-homology for proper actions. Zbl 1216.19006 Baum, Paul; Higson, Nigel; Schick, Thomas 16 2010 Categories of fractions and excision in KK-theory. Zbl 0718.46053 Higson, Nigel 16 1990 \(C^*\)-algebra extension theory and duality. Zbl 0828.46060 Higson, Nigel 15 1995 On a technical theorem of Kasparov. Zbl 0623.46035 Higson, Nigel 15 1987 A primer on KK-theory. Zbl 0718.46052 Higson, Nigel 14 1990 The tangent groupoid and the index theorem. Zbl 1230.58016 Higson, Nigel 12 2010 The Baum-Connes conjecture. Zbl 0911.46041 Higson, Nigel 12 1998 The Mackey analogy and \(K\)-theory. Zbl 1172.46046 Higson, Nigel 12 2008 Representation theory of \(p\)-adic groups: A view from operator algebras. Zbl 0982.19006 Baum, P. F.; Higson, N.; Plymen, R. J. 9 2000 An approach to \({\mathbb{Z}}/k\)-index theory. Zbl 0714.58054 Higson, Nigel 8 1990 A proof of the Baum-Connes conjecture for \(p\)-adic \(GL(n)\). Zbl 0918.46061 Baum, Paul; Higson, Nigel; Plymen, Roger 8 1997 Parabolic induction, categories of representations and operator spaces. Zbl 1355.22003 Crisp, Tyrone; Higson, Nigel 8 2016 A homotopy invariance theorem in coarse cohomology and \(K\)-theory. Zbl 0812.58083 Higson, Nigel; Roe, John 7 1994 Cyclic homology of totally disconnected groups acting on buildings. Zbl 0921.46083 Higson, Nigel; Nistor, Victor 7 1996 Spaces with vanishing \(\ell^2\)-homology and their fundamental groups (after Farber and Weinberger). Zbl 0991.57002 Higson, Nigel; Roe, John; Schick, Thomas 7 2001 Adjoint functors between categories of Hilbert \(C^{\ast}\)-modules. Zbl 1395.46043 Clare, Pierre; Crisp, Tyrone; Higson, Nigel 7 2018 Algebraic families of Harish-Chandra pairs. Zbl 1481.22013 Bernstein, Joseph; Higson, Nigel; Subag, Eyal 7 2020 On the analogy between complex semisimple groups and their Cartan motion groups. Zbl 1236.22010 Higson, Nigel 6 2011 A note on Toeplitz operators. Zbl 0864.47010 Guentner, Erik; Higson, Nigel 6 1996 On the \(K\)-theory proof of the index theorem. Zbl 0798.19004 Higson, Nigel 6 1993 Spinors and the tangent groupoid. Zbl 1429.58018 Higson, Nigel; Yi, Zelin 6 2019 Contractions of representations and algebraic families of Harish-Chandra modules. Zbl 1484.22010 Bernstein, Joseph; Higson, Nigel; Subag, Eyal 6 2020 Area spaces: First steps. Zbl 1186.53088 Burago, Dmitri; Ivanov, Sergei; Higson, Nigel 4 2009 Equivariant homology for \(SL(2)\) of a \(p\)-adic field. Zbl 0844.46043 Baum, Paul; Higson, Nigel; Plymen, Roger 4 1993 Meromorphic continuation of zeta functions associated to elliptic operators. Zbl 1081.58017 Higson, Nigel 4 2004 Algebraic families of groups and commuting involutions. Zbl 1428.20046 Barbasch, Dan; Higson, Nigel; Subag, Eyal 4 2018 A differential complex for CAT(0) cubical spaces. Zbl 1414.46049 Brodzki, J.; Guentner, E.; Higson, N. 2 2019 On a spectral theorem of Weyl. Zbl 1458.34140 Higson, Nigel; Tan, Qijun 2 2020 The Weyl-von Neumann theorem for multipliers of some \(AF\)-algebras. Zbl 0762.46046 Higson, Nigel; Rørdam, Mikael 2 1991 \(C^\ast\)-algebraic higher signatures and an invariance theorem in codimension two. Zbl 1401.19010 Higson, Nigel; Schick, Thomas; Xie, Zhizhang 2 2018 A second adjoint theorem for \(\mathrm{SL}(2,\mathbb R)\). Zbl 1409.22009 Crisp, Tyrone; Higson, Nigel 2 2017 The Mackey bijection for complex reductive groups and continuous fields of reduced group \(C^\ast\)-algebras. Zbl 1468.22019 Higson, Nigel; Román, Angel 1 2020 Surveys in noncommutative geometry. Proceedings from the Clay Mathematics Institute instructional symposium, held in conjunction with the AMS-IMS-SIAM joint summer research conference on noncommutative geometry, South Hadley, MA, USA, June 18–29, 2000. Zbl 1102.46001 1 2006 Weyl character formula in KK-theory. Zbl 1300.19002 Block, Jonathan; Higson, Nigel 1 2013 On the Connes-Kasparov isomorphism. I: The reduced \(\mathrm{C}^*\)-algebra of a real reductive group and the \(K\)-theory of the tempered dual. Zbl 1542.22008 Clare, Pierre; Higson, Nigel; Song, Yanli; Tang, Xiang 1 2024 On the Connes-Kasparov isomorphism. II: The Vogan classification of essential components in the tempered dual. Zbl 1536.22013 Clare, Pierre; Higson, Nigel; Song, Yanli 1 2024 Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 – April 7, 2017. On the occasion of Alain Connes’ 70th Birthday. Zbl 1432.58003 1 2019 On the Connes-Kasparov isomorphism. I: The reduced \(\mathrm{C}^*\)-algebra of a real reductive group and the \(K\)-theory of the tempered dual. Zbl 1542.22008 Clare, Pierre; Higson, Nigel; Song, Yanli; Tang, Xiang 1 2024 On the Connes-Kasparov isomorphism. II: The Vogan classification of essential components in the tempered dual. Zbl 1536.22013 Clare, Pierre; Higson, Nigel; Song, Yanli 1 2024 Algebraic families of Harish-Chandra pairs. Zbl 1481.22013 Bernstein, Joseph; Higson, Nigel; Subag, Eyal 7 2020 Contractions of representations and algebraic families of Harish-Chandra modules. Zbl 1484.22010 Bernstein, Joseph; Higson, Nigel; Subag, Eyal 6 2020 On a spectral theorem of Weyl. Zbl 1458.34140 Higson, Nigel; Tan, Qijun 2 2020 The Mackey bijection for complex reductive groups and continuous fields of reduced group \(C^\ast\)-algebras. Zbl 1468.22019 Higson, Nigel; Román, Angel 1 2020 Spinors and the tangent groupoid. Zbl 1429.58018 Higson, Nigel; Yi, Zelin 6 2019 A differential complex for CAT(0) cubical spaces. Zbl 1414.46049 Brodzki, J.; Guentner, E.; Higson, N. 2 2019 Advances in noncommutative geometry. Based on the noncommutative geometry conference, Shanghai, China, March 23 – April 7, 2017. On the occasion of Alain Connes’ 70th Birthday. Zbl 1432.58003 1 2019 Euler-like vector fields, deformation spaces and manifolds with filtered structure. Zbl 1393.57018 Haj Saeedi Sadegh, Ahmad Reza; Higson, Nigel 20 2018 Adjoint functors between categories of Hilbert \(C^{\ast}\)-modules. Zbl 1395.46043 Clare, Pierre; Crisp, Tyrone; Higson, Nigel 7 2018 Algebraic families of groups and commuting involutions. Zbl 1428.20046 Barbasch, Dan; Higson, Nigel; Subag, Eyal 4 2018 \(C^\ast\)-algebraic higher signatures and an invariance theorem in codimension two. Zbl 1401.19010 Higson, Nigel; Schick, Thomas; Xie, Zhizhang 2 2018 A second adjoint theorem for \(\mathrm{SL}(2,\mathbb R)\). Zbl 1409.22009 Crisp, Tyrone; Higson, Nigel 2 2017 Parabolic induction and restriction via \(C^{\ast}\)-algebras and Hilbert \(C^{\ast}\)-modules. Zbl 1346.22005 Clare, Pierre; Crisp, Tyrone; Higson, Nigel 19 2016 Parabolic induction, categories of representations and operator spaces. Zbl 1355.22003 Crisp, Tyrone; Higson, Nigel 8 2016 Weyl character formula in KK-theory. Zbl 1300.19002 Block, Jonathan; Higson, Nigel 1 2013 On the analogy between complex semisimple groups and their Cartan motion groups. Zbl 1236.22010 Higson, Nigel 6 2011 \(K\)-homology, assembly and rigidity theorems for relative eta invariants. Zbl 1227.19006 Higson, Nigel; Roe, John 27 2010 Weak amenability of CAT(0)-cubical groups. Zbl 1208.46054 Guentner, Erik; Higson, Nigel 20 2010 A geometric description of equivariant K-homology for proper actions. Zbl 1216.19006 Baum, Paul; Higson, Nigel; Schick, Thomas 16 2010 The tangent groupoid and the index theorem. Zbl 1230.58016 Higson, Nigel 12 2010 Area spaces: First steps. Zbl 1186.53088 Burago, Dmitri; Ivanov, Sergei; Higson, Nigel 4 2009 The Mackey analogy and \(K\)-theory. Zbl 1172.46046 Higson, Nigel 12 2008 On the equivalence of geometric and analytic \(K\)-homology. Zbl 1146.19004 Baum, Paul; Higson, Nigel; Schick, Thomas 40 2007 The residue index theorem of Connes and Moscovici. Zbl 1120.58017 Higson, Nigel 26 2006 Surveys in noncommutative geometry. Proceedings from the Clay Mathematics Institute instructional symposium, held in conjunction with the AMS-IMS-SIAM joint summer research conference on noncommutative geometry, South Hadley, MA, USA, June 18–29, 2000. Zbl 1102.46001 1 2006 The Novikov conjecture for linear groups. Zbl 1073.19003 Guentner, Erik; Higson, Nigel; Weinberger, Shmuel 59 2005 Mapping surgery to analysis. I: Analytic signatures. Zbl 1083.19002 Higson, Nigel; Roe, John 33 2004 Mapping surgery to analysis. III: Exact sequences. Zbl 1085.19002 Higson, Nigel; Roe, John 29 2004 Mapping surgery to analysis. II: Geometric signatures. Zbl 1083.19003 Higson, Nigel; Roe, John 28 2004 Group C\(^{\ast}\)-algebras and K-theory. Zbl 1053.46048 Higson, Nigel; Guentner, Erik 27 2004 Meromorphic continuation of zeta functions associated to elliptic operators. Zbl 1081.58017 Higson, Nigel 4 2004 The local index formula in noncommutative geometry. Zbl 1122.58015 Higson, Nigel 17 2003 Counterexamples to the Baum-Connes conjecture. Zbl 1014.46043 Higson, N.; Lafforgue, V.; Skandalis, G. 127 2002 \(E\)-theory and \(KK\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0988.19003 Higson, Nigel; Kasparov, Gennadi 144 2001 Spaces with vanishing \(\ell^2\)-homology and their fundamental groups (after Farber and Weinberger). Zbl 0991.57002 Higson, Nigel; Roe, John; Schick, Thomas 7 2001 Analytic K-homology. Zbl 0968.46058 Higson, Nigel; Roe, John 200 2000 Amenable group actions and the Novikov conjecture. Zbl 0964.55015 Higson, Nigel; Roe, John 80 2000 Bivariant \(K\)-theory and the Novikov conjecture. Zbl 0962.46052 Higson, N. 42 2000 Equivariant \(E\)-theory for \(C^*\)-algebras. Zbl 0983.19003 Guentner, Erik; Higson, Nigel; Trout, Jody 42 2000 Representation theory of \(p\)-adic groups: A view from operator algebras. Zbl 0982.19006 Baum, P. F.; Higson, N.; Plymen, R. J. 9 2000 A Bott periodicity theorem for infinite dimensional Euclidean space. Zbl 0911.46040 Higson, Nigel; Kasparov, Gennadi; Trout, Jody 33 1998 The Baum-Connes conjecture. Zbl 0911.46041 Higson, Nigel 12 1998 Operator \(K\)-theory for groups which act properly and isometrically on Hilbert space. Zbl 0888.46046 Higson, Nigel; Kasparov, Gennadi 38 1997 \(C^*\)-algebras and controlled topology. Zbl 0879.19003 Higson, Nigel; Pedersen, Erik Kjær; Roe, John 32 1997 A proof of the Baum-Connes conjecture for \(p\)-adic \(GL(n)\). Zbl 0918.46061 Baum, Paul; Higson, Nigel; Plymen, Roger 8 1997 Cyclic homology of totally disconnected groups acting on buildings. Zbl 0921.46083 Higson, Nigel; Nistor, Victor 7 1996 A note on Toeplitz operators. Zbl 0864.47010 Guentner, Erik; Higson, Nigel 6 1996 On the coarse Baum-Connes conjecture. Zbl 0957.58019 Higson, Nigel; Roe, John 63 1995 \(C^*\)-algebra extension theory and duality. Zbl 0828.46060 Higson, Nigel 15 1995 Classifying space for proper actions and \(K\)-theory of group \(C^*\)- algebras. Zbl 0830.46061 Baum, Paul; Connes, Alain; Higson, Nigel 200 1994 A homotopy invariance theorem in coarse cohomology and \(K\)-theory. Zbl 0812.58083 Higson, Nigel; Roe, John 7 1994 A coarse Mayer-Vietoris principle. Zbl 0792.55001 Higson, Nigel; Roe, John; Yu, Guoliang 63 1993 On the \(K\)-theory proof of the index theorem. Zbl 0798.19004 Higson, Nigel 6 1993 Equivariant homology for \(SL(2)\) of a \(p\)-adic field. Zbl 0844.46043 Baum, Paul; Higson, Nigel; Plymen, Roger 4 1993 A note on the cobordism invariance of the index. Zbl 0731.58065 Higson, Nigel 25 1991 The Weyl-von Neumann theorem for multipliers of some \(AF\)-algebras. Zbl 0762.46046 Higson, Nigel; Rørdam, Mikael 2 1991 Deformations, asymptotic morphisms and bivariant \(K\)-theory. (Déformations, morphismes asymptotiques et \(K\)-théorie bivariante.) Zbl 0717.46062 Connes, Alain; Higson, Nigel 78 1990 Categories of fractions and excision in KK-theory. Zbl 0718.46053 Higson, Nigel 16 1990 A primer on KK-theory. Zbl 0718.46052 Higson, Nigel 14 1990 An approach to \({\mathbb{Z}}/k\)-index theory. Zbl 0714.58054 Higson, Nigel 8 1990 Algebraic \(K\)-theory of stable \(C^*\)-algebras. Zbl 0635.46061 Higson, Nigel 33 1988 A characterization of KK-theory. Zbl 0645.46054 Higson, Nigel 41 1987 Kuiper’s theorem for Hilbert modules. Zbl 0616.46066 Cuntz, Joachim; Higson, Nigel 18 1987 On a technical theorem of Kasparov. Zbl 0623.46035 Higson, Nigel 15 1987 all cited Publications top 5 cited Publications all top 5 Cited by 782 Authors 34 Yu, Guoliang 23 Higson, Nigel 22 Wang, Qin 20 Willett, Rufus 18 Dadarlat, Marius 17 Mathai, Varghese 16 Hochs, Peter 15 Lück, Wolfgang 15 Rennie, Adam 15 Wang, Hang 14 Chen, Xiaoman 14 Manuĭlov, Vladimir Markovich 13 Echterhoff, Siegfried 13 Kubota, Yosuke 13 Li, Kang 13 Xie, Zhizhang 12 Guentner, Erik Paul 12 Thomsen, Klaus E. 11 Benameur, Moulay-Tahar 11 Emerson, Heath 11 Meyer, Ralf 11 Nowak, Piotr W. 11 Schick, Thomas 10 Deeley, Robin J. 10 Goffeng, Magnus 10 Mesland, Bram 10 Zhang, Jiawen 9 Bunke, Ulrich 9 Valette, Alain 9 Wang, Xianjin 9 Wright, Nick J. 9 Zeidler, Rudolf 8 Bartels, Arthur C. 8 Crisp, Tyrone 8 de Mendonça Braga, Bruno 8 Dranishnikov, Alexander Nikolaevich 8 Engel, Alexander 8 Farah, Ilijas 8 Oyono-Oyono, Hervé 8 Song, Yanli 8 Spakula, Jan 8 Wulff, Christopher 7 Burgstaller, Bernhard 7 Carey, Alan L. 7 Fu, Benyin 7 Guo, Hao 7 Kaad, Jens 7 Loizides, Yiannis 7 Ludewig, Matthias 7 Mahanta, Snigdhayan 7 Oguni, Shinichi 7 Pennig, Ulrich 7 Piazza, Paolo 7 Roe, John 7 Thiang, Guo Chuan 7 van den Dungen, Koenraad Lambertus 7 Vignati, Alessandro 7 Zenobi, Vito Felice 6 Baum, Paul Frank 6 Bönicke, Christian 6 Brodzki, Jacek 6 Buss, Alcides 6 Chung, Yeong Chyuan 6 Ebert, Johannes Felix 6 Fukaya, Tomohiro 6 Gruber, Dominik 6 Kasparov, Gennadi G. 6 Li, Xin 6 Niblo, Graham A. 6 Rosenberg, Jonathan Micah 6 Savin, Anton Yur’evich 6 Skandalis, Georges 6 Solleveld, Maarten 6 Yamauchi, Takamitsu 5 Arzhantseva, Goulnara N. 5 Clare, Pierre 5 Cortiñas, Guillermo H. 5 de Cornulier, Yves 5 Douglas, Ronald George 5 Gabe, James 5 Guo, Liang 5 Liu, Hongzhi 5 Matthey, Michel 5 Mitchener, Paul D. 5 Nest, Ryszard 5 Ozawa, Narutaka 5 Ponge, Raphaël S. 5 Prodan, Emil 5 Proietti, Valerio 5 Roy, Indrava 5 Sukochev, Fedor Anatol’evich 5 Tessera, Romain 5 van Erp, Erik 5 Wang, Bailing 5 Weinberger, Shmuel 5 Zhou, Dapeng 4 Aubert, Anne-Marie 4 Bárcenas, Noé 4 Bell, Gregory C. 4 Bourne, Chris ...and 682 more Authors all top 5 Cited in 161 Serials 107 Journal of Functional Analysis 85 Journal of Noncommutative Geometry 68 Advances in Mathematics 37 Journal of Geometry and Physics 31 Proceedings of the American Mathematical Society 31 Journal of Topology and Analysis 29 Communications in Mathematical Physics 28 Mathematische Annalen 28 Transactions of the American Mathematical Society 25 Topology and its Applications 24 \(K\)-Theory 18 Groups, Geometry, and Dynamics 16 Journal of Mathematical Physics 16 Journal für die Reine und Angewandte Mathematik 16 Geometry & Topology 16 Algebraic & Geometric Topology 14 Annales de l’Institut Fourier 12 Geometriae Dedicata 12 Chinese Annals of Mathematics. Series B 12 Annals of \(K\)-Theory 11 Journal of Mathematical Analysis and Applications 10 Bulletin of the London Mathematical Society 10 Inventiones Mathematicae 10 International Journal of Mathematics 9 Israel Journal of Mathematics 9 Rocky Mountain Journal of Mathematics 9 Documenta Mathematica 9 Journal of Homotopy and Related Structures 8 Letters in Mathematical Physics 8 Journal of Topology 7 Proceedings of the London Mathematical Society. Third Series 7 Geometric and Functional Analysis. GAFA 7 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 7 Journal of \(K\)-Theory 7 Kyoto Journal of Mathematics 6 Duke Mathematical Journal 6 Integral Equations and Operator Theory 6 Mathematische Nachrichten 6 Russian Journal of Mathematical Physics 6 Journal of Mathematical Sciences (New York) 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Mathematische Zeitschrift 5 The Journal of Geometric Analysis 5 Annals of Mathematics. Second Series 4 Mathematical Proceedings of the Cambridge Philosophical Society 4 Studia Mathematica 4 Reviews in Mathematical Physics 4 Compositio Mathematica 4 Journal of Algebra 4 Journal of the London Mathematical Society. Second Series 4 Journal of Pure and Applied Algebra 4 Memoirs of the American Mathematical Society 4 International Journal of Algebra and Computation 4 Mathematical Physics, Analysis and Geometry 4 Annales Henri Poincaré 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Journal of Physics A: Mathematical and Theoretical 3 Houston Journal of Mathematics 3 Mathematical Notes 3 Fortschritte der Physik 3 Publications Mathématiques 3 Ergodic Theory and Dynamical Systems 3 Annals of Global Analysis and Geometry 3 Journal of the American Mathematical Society 3 Differential Geometry and its Applications 3 Expositiones Mathematicae 3 Indagationes Mathematicae. New Series 3 Journal of Lie Theory 3 Missouri Journal of Mathematical Sciences 3 Oberwolfach Reports 3 Science China. Mathematics 2 Reports on Mathematical Physics 2 Acta Mathematica 2 American Journal of Mathematics 2 Archiv der Mathematik 2 Canadian Journal of Mathematics 2 Fundamenta Mathematicae 2 Glasgow Mathematical Journal 2 Illinois Journal of Mathematics 2 Journal of the Mathematical Society of Japan 2 Monatshefte für Mathematik 2 Pacific Journal of Mathematics 2 Semigroup Forum 2 IMRN. International Mathematics Research Notices 2 L’Enseignement Mathématique. 2e Série 2 Linear Algebra and its Applications 2 Journal of Algebraic Combinatorics 2 Applied Categorical Structures 2 Annales Mathématiques Blaise Pascal 2 The New York Journal of Mathematics 2 Bulletin des Sciences Mathématiques 2 Electronic Research Announcements of the American Mathematical Society 2 Representation Theory 2 Journal of the European Mathematical Society (JEMS) 2 Journal of the Institute of Mathematics of Jussieu 2 European Journal of Pure and Applied Mathematics 2 Banach Journal of Mathematical Analysis 2 Japanese Journal of Mathematics. 3rd Series 2 European Journal of Mathematics 1 Bulletin of the Australian Mathematical Society ...and 61 more Serials all top 5 Cited in 43 Fields 592 Functional analysis (46-XX) 423 \(K\)-theory (19-XX) 287 Global analysis, analysis on manifolds (58-XX) 198 Group theory and generalizations (20-XX) 150 Topological groups, Lie groups (22-XX) 128 Differential geometry (53-XX) 116 Algebraic topology (55-XX) 95 Manifolds and cell complexes (57-XX) 77 Operator theory (47-XX) 63 Quantum theory (81-XX) 60 Geometry (51-XX) 57 Abstract harmonic analysis (43-XX) 51 General topology (54-XX) 50 Category theory; homological algebra (18-XX) 32 Combinatorics (05-XX) 31 Dynamical systems and ergodic theory (37-XX) 22 Associative rings and algebras (16-XX) 17 Number theory (11-XX) 16 Partial differential equations (35-XX) 13 Algebraic geometry (14-XX) 10 Nonassociative rings and algebras (17-XX) 10 Functions of a complex variable (30-XX) 10 Statistical mechanics, structure of matter (82-XX) 7 Several complex variables and analytic spaces (32-XX) 7 Probability theory and stochastic processes (60-XX) 6 Measure and integration (28-XX) 5 Convex and discrete geometry (52-XX) 4 General and overarching topics; collections (00-XX) 4 Relativity and gravitational theory (83-XX) 3 Mathematical logic and foundations (03-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 2 Commutative algebra (13-XX) 2 Potential theory (31-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Optics, electromagnetic theory (78-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Ordinary differential equations (34-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 Integral equations (45-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.