Edit Profile (opens in new tab) Davis, James Frederic Co-Author Distance Author ID: davis.james-frederic Published as: Davis, James F.; Davis, J. F. Homepage: http://www.indiana.edu/~jfdavis/ External Links: MGP Documents Indexed: 60 Publications since 1983, including 4 Books and 6 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Co-Authors: 22 Co-Authors with 34 Joint Publications 366 Co-Co-Authors all top 5 Co-Authors 16 single-authored 5 Lück, Wolfgang 4 Khan, Qayum 3 Adem, Alejandro 3 Anderson, Laura 3 Milgram, Richard James 3 Ranicki, Andrew Alexander 3 Weinberger, Shmuel 2 Connolly, Frank 2 Livingston, Charles 2 tom Dieck, Tammo 1 Adams, Sarah Spence 1 Ahuja, Narendra 1 Apostolopoulos, John G. 1 Brookman, Jeremy 1 Chen, Xing 1 Connolly, Francis X. 1 Crawford, Matthew 1 Culbertson, Bruce 1 Ding, Pisheng 1 Fang, Fuquan 1 Fisher, David Michael 1 Greeley, Caitlin 1 Hasemeyer, Christian 1 Hersh, Patricia 1 Kalinin, Boris 1 Karst, Nathaniel J. 1 Katz, Gabriel 1 Kirk, Paul A. 1 Lee, Bryce 1 Löffler, Peter 1 Marsten, Katherine 1 McGrew, Gavin 1 Mesnager, Sihem 1 Miller, Ezra 1 Mukherjea, Arunava 1 Murugan, Mathav Kishore 1 Naik, Swatee 1 Pearson, Kimberly 1 Quinn, Frank S. 1 Ramulu, Mamidala 1 Reich, Holger 1 Rovi, Carmen 1 Schlichting, Marco 1 Spatzier, Ralf J. 1 Steele, Dayton 1 Tan, Kar-Han 1 Ünlü, Özgün 1 Wang, Gang 1 Yadigaroglu, George 1 Yang, Qingxiong 1 Yang, Ruigang all top 5 Serials 4 Topology 3 Mathematische Annalen 3 Proceedings of the American Mathematical Society 3 \(K\)-Theory 2 Communications on Pure and Applied Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Transactions of the American Mathematical Society 2 Geometry & Topology 1 IEEE Transactions on Information Theory 1 International Journal of Heat and Mass Transfer 1 Advances in Mathematics 1 Commentarii Mathematici Helvetici 1 Indiana University Mathematics Journal 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal of Multivariate Analysis 1 Mathematische Zeitschrift 1 Meccanica 1 Proceedings of the London Mathematical Society. Third Series 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Journal of the American Mathematical Society 1 Machine Vision and Applications 1 L’Enseignement Mathématique. 2e Série 1 International Journal of Computer Mathematics 1 Selecta Mathematica. New Series 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 IEEE Transactions on Image Processing 1 Algebraic & Geometric Topology 1 Oberwolfach Reports 1 Pure and Applied Mathematics Quarterly 1 Graduate Studies in Mathematics 1 Journal of Noncommutative Geometry 1 Journal of Topology 1 EMS Surveys in Mathematical Sciences 1 Transactions of the American Mathematical Society. Series B all top 5 Fields 44 Manifolds and cell complexes (57-XX) 15 Algebraic topology (55-XX) 12 \(K\)-theory (19-XX) 6 Category theory; homological algebra (18-XX) 4 Differential geometry (53-XX) 3 Number theory (11-XX) 3 Convex and discrete geometry (52-XX) 3 Information and communication theory, circuits (94-XX) 2 Combinatorics (05-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Functional analysis (46-XX) 2 Computer science (68-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Classical thermodynamics, heat transfer (80-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 46 Publications have been cited 463 times in 391 Documents Cited by ▼ Year ▼ Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory. Zbl 0921.19003 Davis, James F.; Lück, Wolfgang 113 1998 Lecture notes in algebraic topology. Zbl 1018.55001 Davis, James F.; Kirk, Paul 113 2001 Global rigidity of higher rank Anosov actions on tori and nilmanifolds. With an appendix by James F. Davis. Zbl 1338.37040 Fisher, David; Kalinin, Boris; Spatzier, Ralf 28 2013 Algebraic \(K\)-theory over the infinite dihedral group: a controlled topology approach. Zbl 1227.19004 Davis, James F.; Quinn, Frank; Reich, Holger 16 2011 The \(p\)-chain spectral sequence. Zbl 1051.55009 Davis, James F.; Lück, Wolfgang 13 2003 Alexander polynomials of periodic knots. Zbl 0747.57003 Davis, James F.; Livingston, Charles 13 1991 A survey of the spherical space form problem. Zbl 0875.57001 Davis, J. F.; Milgram, R. J. 11 1986 Topics in transformation groups. Zbl 0997.57002 Adem, Alejandro; Davis, James F. 11 2002 The surgery semicharacteristic. Zbl 0506.57021 Davis, James F. 11 1983 The surgery obstruction groups of the infinite dihedral group. Zbl 1052.57049 Connolly, Francis X.; Davis, James F. 11 2004 Mod 2 cohomology of combinatorial Grassmannians. Zbl 1007.55010 Anderson, Laura; Davis, James F. 10 2002 Fixity and free group actions on products of spheres. Zbl 1057.57019 Adem, Alejandro; Davis, James F.; Ünlü, Özgün 10 2004 Alexander polynomials of equivariant slice and ribbon knots in \(S^3\). Zbl 1088.57004 Davis, James F.; Naik, Swatee 9 2006 The Borel/Novikov conjectures and stable diffeomorphisms of 4-manifolds. Zbl 1106.57018 Davis, James F. 9 2005 The topological K-theory of certain crystallographic groups. Zbl 1279.19003 Davis, James F.; Lück, Wolfgang 9 2013 Hyperfield Grassmannians. Zbl 1401.05059 Anderson, Laura; Davis, James F. 9 2019 Semicharacteristics, bordism, and free group actions. Zbl 0675.57015 Davis, James F.; Milgram, R. James 8 1989 A two component link with Alexander polynomial one is concordant to the Hopf link. Zbl 1090.57005 Davis, James F. 8 2006 Manifold aspects of the Novikov conjecture. Zbl 0948.57001 Davis, James F. 8 2000 Algebraic \(K\)-theory over the infinite dihedral group: an algebraic approach. Zbl 1236.19002 Davis, James F.; Khan, Qayum; Ranicki, Andrew 8 2011 Evaluation of odd-dimensional surgery obstructions with finite fundamental group. Zbl 0603.57020 Davis, James F. 7 1988 Group actions on homology spheres. Zbl 0635.57021 Davis, James F.; Weinberger, Shmuel 6 1986 Manifolds homotopy equivalent to \(P^{n} \# P^{n}\). Zbl 1129.57029 Brookman, Jeremy; Davis, James F.; Khan, Qayum 6 2007 Topological rigidity and \(H_1\)-negative involutions on tori. Zbl 1320.57040 Connolly, Frank; Davis, James F.; Khan, Qayum 6 2014 Semi-invariants in surgery. Zbl 0639.57015 Davis, James F.; Ranicki, Andrew A. 5 1987 A note on simple duality. Zbl 0569.57008 Davis, James F.; Löffler, Peter 5 1985 An almost flat manifold with a cyclic or quaternionic holonomy group bounds. Zbl 1350.53064 Davis, James F.; Fang, Fuquan 5 2016 Identification of parameters by the distribution of the minimum: The tri-variate normal case with negative correlations. Zbl 1119.60008 Davis, J.; Mukherjea, A. 5 2007 Periodic knots, Smith theory, and Murasugi’s congruence. Zbl 0735.57009 Davis, James F.; Livingston, Charles 4 1991 Topological rigidity and actions on contractible manifolds with discrete singular set. Zbl 1348.57051 Connolly, Frank; Davis, James F.; Khan, Qayum 4 2015 The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups. Zbl 1050.19004 Davis, James F.; Pearson, Kimberly 3 2003 Some exotic dihedral actions on spheres. Zbl 0634.57021 Davis, James F.; tom Dieck, Tammo 2 1988 Obstructions to propagation of group actions. Zbl 0867.57034 Davis, James F.; Weinberger, Shmuel 2 1996 The homology of cyclic branched covers of \(S^ 3\). Zbl 0840.57006 Davis, James F. 2 1995 The homology of irregular dihedral branched covers of \(S^ 3\). Zbl 0862.57005 Davis, James F. 2 1995 Direct contact condensation in Hiemenz flow boundary layers. Zbl 1045.76579 Davis, J.; Yadigaroglu, G. 2 2004 The work of Tom Farrell and Lowell Jones in topology and geometry. Zbl 1247.57006 Davis, James F. 2 2012 Free actions on products of spheres: The rational case. Zbl 0712.57015 Davis, James F.; Milgram, R. J. 1 1991 Relative semicharacteristic classes. Zbl 0633.57019 Davis, James F. 1 1987 Higher diagonal approximations and skeletons of K(\(\pi\) ,1)’s. Zbl 0584.55021 Davis, James F. 1 1985 Characteristic fixed-point sets of semifree actions on spheres. Zbl 0935.57043 Davis, James F.; Weinberger, Shmuel 1 1999 A remark on ’Homotopy equivalences and free modules.’. Zbl 0506.55007 Davis, James F. 1 1983 There is no tame triangulation of the infinite real Grassmannian. Zbl 0984.52014 Anderson, Laura; Davis, James F. 1 2001 An occlusion metric for selecting robust camera configurations. Zbl 1331.68230 Chen, Xing; Davis, James 1 2008 Manifolds homotopy equivalent to certain torus bundles over lens spaces. Zbl 1487.57037 Davis, James F.; Lück, Wolfgang 1 2021 A study of the residual stress induced by shot peening for an isotropic material based on prager’s yield criterion for combined stresses. Zbl 1329.74046 Davis, J.; Ramulu, M. 1 2015 Manifolds homotopy equivalent to certain torus bundles over lens spaces. Zbl 1487.57037 Davis, James F.; Lück, Wolfgang 1 2021 Hyperfield Grassmannians. Zbl 1401.05059 Anderson, Laura; Davis, James F. 9 2019 An almost flat manifold with a cyclic or quaternionic holonomy group bounds. Zbl 1350.53064 Davis, James F.; Fang, Fuquan 5 2016 Topological rigidity and actions on contractible manifolds with discrete singular set. Zbl 1348.57051 Connolly, Frank; Davis, James F.; Khan, Qayum 4 2015 A study of the residual stress induced by shot peening for an isotropic material based on prager’s yield criterion for combined stresses. Zbl 1329.74046 Davis, J.; Ramulu, M. 1 2015 Topological rigidity and \(H_1\)-negative involutions on tori. Zbl 1320.57040 Connolly, Frank; Davis, James F.; Khan, Qayum 6 2014 Global rigidity of higher rank Anosov actions on tori and nilmanifolds. With an appendix by James F. Davis. Zbl 1338.37040 Fisher, David; Kalinin, Boris; Spatzier, Ralf 28 2013 The topological K-theory of certain crystallographic groups. Zbl 1279.19003 Davis, James F.; Lück, Wolfgang 9 2013 The work of Tom Farrell and Lowell Jones in topology and geometry. Zbl 1247.57006 Davis, James F. 2 2012 Algebraic \(K\)-theory over the infinite dihedral group: a controlled topology approach. Zbl 1227.19004 Davis, James F.; Quinn, Frank; Reich, Holger 16 2011 Algebraic \(K\)-theory over the infinite dihedral group: an algebraic approach. Zbl 1236.19002 Davis, James F.; Khan, Qayum; Ranicki, Andrew 8 2011 An occlusion metric for selecting robust camera configurations. Zbl 1331.68230 Chen, Xing; Davis, James 1 2008 Manifolds homotopy equivalent to \(P^{n} \# P^{n}\). Zbl 1129.57029 Brookman, Jeremy; Davis, James F.; Khan, Qayum 6 2007 Identification of parameters by the distribution of the minimum: The tri-variate normal case with negative correlations. Zbl 1119.60008 Davis, J.; Mukherjea, A. 5 2007 Alexander polynomials of equivariant slice and ribbon knots in \(S^3\). Zbl 1088.57004 Davis, James F.; Naik, Swatee 9 2006 A two component link with Alexander polynomial one is concordant to the Hopf link. Zbl 1090.57005 Davis, James F. 8 2006 The Borel/Novikov conjectures and stable diffeomorphisms of 4-manifolds. Zbl 1106.57018 Davis, James F. 9 2005 The surgery obstruction groups of the infinite dihedral group. Zbl 1052.57049 Connolly, Francis X.; Davis, James F. 11 2004 Fixity and free group actions on products of spheres. Zbl 1057.57019 Adem, Alejandro; Davis, James F.; Ünlü, Özgün 10 2004 Direct contact condensation in Hiemenz flow boundary layers. Zbl 1045.76579 Davis, J.; Yadigaroglu, G. 2 2004 The \(p\)-chain spectral sequence. Zbl 1051.55009 Davis, James F.; Lück, Wolfgang 13 2003 The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups. Zbl 1050.19004 Davis, James F.; Pearson, Kimberly 3 2003 Topics in transformation groups. Zbl 0997.57002 Adem, Alejandro; Davis, James F. 11 2002 Mod 2 cohomology of combinatorial Grassmannians. Zbl 1007.55010 Anderson, Laura; Davis, James F. 10 2002 Lecture notes in algebraic topology. Zbl 1018.55001 Davis, James F.; Kirk, Paul 113 2001 There is no tame triangulation of the infinite real Grassmannian. Zbl 0984.52014 Anderson, Laura; Davis, James F. 1 2001 Manifold aspects of the Novikov conjecture. Zbl 0948.57001 Davis, James F. 8 2000 Characteristic fixed-point sets of semifree actions on spheres. Zbl 0935.57043 Davis, James F.; Weinberger, Shmuel 1 1999 Spaces over a category and assembly maps in isomorphism conjectures in \(K\)- and \(L\)-theory. Zbl 0921.19003 Davis, James F.; Lück, Wolfgang 113 1998 Obstructions to propagation of group actions. Zbl 0867.57034 Davis, James F.; Weinberger, Shmuel 2 1996 The homology of cyclic branched covers of \(S^ 3\). Zbl 0840.57006 Davis, James F. 2 1995 The homology of irregular dihedral branched covers of \(S^ 3\). Zbl 0862.57005 Davis, James F. 2 1995 Alexander polynomials of periodic knots. Zbl 0747.57003 Davis, James F.; Livingston, Charles 13 1991 Periodic knots, Smith theory, and Murasugi’s congruence. Zbl 0735.57009 Davis, James F.; Livingston, Charles 4 1991 Free actions on products of spheres: The rational case. Zbl 0712.57015 Davis, James F.; Milgram, R. J. 1 1991 Semicharacteristics, bordism, and free group actions. Zbl 0675.57015 Davis, James F.; Milgram, R. James 8 1989 Evaluation of odd-dimensional surgery obstructions with finite fundamental group. Zbl 0603.57020 Davis, James F. 7 1988 Some exotic dihedral actions on spheres. Zbl 0634.57021 Davis, James F.; tom Dieck, Tammo 2 1988 Semi-invariants in surgery. Zbl 0639.57015 Davis, James F.; Ranicki, Andrew A. 5 1987 Relative semicharacteristic classes. Zbl 0633.57019 Davis, James F. 1 1987 A survey of the spherical space form problem. Zbl 0875.57001 Davis, J. F.; Milgram, R. J. 11 1986 Group actions on homology spheres. Zbl 0635.57021 Davis, James F.; Weinberger, Shmuel 6 1986 A note on simple duality. Zbl 0569.57008 Davis, James F.; Löffler, Peter 5 1985 Higher diagonal approximations and skeletons of K(\(\pi\) ,1)’s. Zbl 0584.55021 Davis, James F. 1 1985 The surgery semicharacteristic. Zbl 0506.57021 Davis, James F. 11 1983 A remark on ’Homotopy equivalences and free modules.’. Zbl 0506.55007 Davis, James F. 1 1983 all cited Publications top 5 cited Publications all top 5 Cited by 470 Authors 25 Lück, Wolfgang 18 Davis, James Frederic 13 Bartels, Arthur C. 12 Khan, Qayum 9 Powell, Mark 8 Bunke, Ulrich 8 Gomi, Kiyonori 8 Hambleton, Ian 7 De Nittis, Giuseppe 7 Juan-Pineda, Daniel 7 Kasprowski, Daniel 7 Reich, Holger 7 Weinberger, Shmuel 6 Sánchez Saldaña, Luis Jorge 5 Degrijse, Dieter 5 Petrosyan, Nansen 5 Ranicki, Andrew Alexander 5 Singh, Hemant Kumar 5 Winges, Christoph 4 Bárcenas, Noé 4 de Rezende, Ketty Abaroa 4 Friedl, Stefan 4 Land, Markus 4 Milgram, Richard James 4 Politarczyk, Wojciech 4 Ray, Arunima 3 Adem, Alejandro 3 Anderson, Laura 3 Balmer, Paul 3 Blagojević, Pavle V. M. 3 Boyle, Keegan 3 Cha, Jae Choon 3 Connolly, Frank 3 Crowley, Diarmuid John 3 da Silveira, Mariana R. 3 Davis, Christopher William 3 Echterhoff, Siegfried 3 Engel, Alexander 3 Farrell, F. Thomas 3 Hillman, Jonathan Arthur 3 Jun, Jaiung 3 Lorscheid, Oliver 3 Naik, Swatee 3 Nikolaus, Thomas 3 Prassidis, Stratos 3 Rosenthal, David S. H. 3 Ruberman, Daniel 3 Sepe, Daniele 3 Singh, Tej Bahadur 3 Sogabe, Taro 3 Szabo, Richard J. 3 Tartaglia, Gisela 3 Ullmann, Mark 3 Ünlü, Özgün 3 Varisco, Marco 3 Velásquez, Mario 3 Wegner, Christian 3 Yalçın, Ergün 2 Antolín, Yago 2 Banagl, Markus 2 Belegradek, Igor 2 Blanc, David Abraham 2 Błaszczyk, Zbigniew 2 Borodzik, Maciej 2 Clark, Alex 2 Conway, Anthony 2 Cortiñas, Guillermo H. 2 Ellis, Eugenia 2 Escher, Christine M. 2 Farsi, Carla 2 Fischer, Arthur Elliot 2 Flores, Ramón J. 2 Friedman, Greg 2 Golasiński, Marek 2 Gonçalves, Daciberg Lima 2 Hanke, Bernhard 2 Hurder, Steven E. 2 Issa, Ahmad 2 Izumi, Masaki 2 Jabuka, Stanislav 2 Kennard, Lee 2 Kim, Hee Jung 2 Kwasik, Sławomir 2 Lackmann, Malte 2 León Álvarez, Porfirio L. 2 Lima, Dahisy Valadão de Souza 2 Liu, Gaku 2 Livingston, Charles 2 Löffler, Peter 2 Lukina, Olga 2 Macko, Tibor 2 Mahanta, Snigdhayan 2 Malkiewich, Cary 2 Marchwicka, Maria 2 Matthey, Michel 2 Matui, Hiroki 2 Melnikov, Ilarion V. 2 Merling, Mona 2 Metaftsis, Vassilis 2 Minasian, Ruben ...and 370 more Authors all top 5 Cited in 118 Serials 29 Topology and its Applications 21 Algebraic & Geometric Topology 19 Advances in Mathematics 16 Proceedings of the American Mathematical Society 15 Mathematische Annalen 14 Transactions of the American Mathematical Society 13 Forum Mathematicum 11 Journal of Pure and Applied Algebra 11 Journal of Topology 8 Journal of Algebra 8 Journal of Knot Theory and its Ramifications 8 Geometry & Topology 7 Inventiones Mathematicae 7 \(K\)-Theory 6 Journal of Mathematical Physics 6 Journal für die Reine und Angewandte Mathematik 6 Journal of High Energy Physics 5 Journal of Geometry and Physics 5 Geometriae Dedicata 5 Journal of the American Mathematical Society 5 Journal of Homotopy and Related Structures 5 Journal of Topology and Analysis 5 Annals of \(K\)-Theory 4 Communications in Mathematical Physics 4 Letters in Mathematical Physics 4 Mathematische Zeitschrift 4 Proceedings of the Edinburgh Mathematical Society. Series II 3 Bulletin of the London Mathematical Society 3 Glasgow Mathematical Journal 3 Ergodic Theory and Dynamical Systems 3 Discrete & Computational Geometry 3 The New York Journal of Mathematics 3 Journal of Noncommutative Geometry 3 Groups, Geometry, and Dynamics 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Reviews in Mathematical Physics 2 Annales de l’Institut Fourier 2 Canadian Mathematical Bulletin 2 Commentarii Mathematici Helvetici 2 Compositio Mathematica 2 Publications Mathématiques 2 Journal of Differential Geometry 2 Journal of Functional Analysis 2 Journal of the Mathematical Society of Japan 2 Mathematische Nachrichten 2 Osaka Journal of Mathematics 2 Proceedings of the London Mathematical Society. Third Series 2 Quaestiones Mathematicae 2 International Journal of Mathematics 2 Journal of Algebraic Combinatorics 2 Selecta Mathematica. New Series 2 Theory and Applications of Categories 2 Transformation Groups 2 Journal of the European Mathematical Society (JEMS) 2 Journal of \(K\)-Theory 2 EMS Surveys in Mathematical Sciences 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 General Relativity and Gravitation 1 Indian Journal of Pure & Applied Mathematics 1 Journal d’Analyse Mathématique 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archiv der Mathematik 1 Dissertationes Mathematicae 1 Illinois Journal of Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Memoirs of the American Mathematical Society 1 Pacific Journal of Mathematics 1 Tôhoku Mathematical Journal. Second Series 1 Bulletin of the Korean Mathematical Society 1 Annals of Global Analysis and Geometry 1 Publicacions Matemàtiques 1 MCSS. Mathematics of Control, Signals, and Systems 1 International Journal of Algebra and Computation 1 Differential Geometry and its Applications 1 The Journal of Geometric Analysis 1 Geometric and Functional Analysis. GAFA 1 Annals of Physics 1 L’Enseignement Mathématique. 2e Série 1 Expositiones Mathematicae 1 Bulletin of the Polish Academy of Sciences, Mathematics 1 Nuclear Physics. B. Proceedings Supplements 1 Topological Methods in Nonlinear Analysis 1 Applied Categorical Structures 1 Topology Proceedings 1 Advances in Applied Clifford Algebras 1 Bulletin des Sciences Mathématiques 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Sbornik: Mathematics 1 Documenta Mathematica 1 Séminaire Lotharingien de Combinatoire 1 Annals of Combinatorics 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré ...and 18 more Serials all top 5 Cited in 35 Fields 195 Manifolds and cell complexes (57-XX) 129 Algebraic topology (55-XX) 109 \(K\)-theory (19-XX) 66 Group theory and generalizations (20-XX) 45 Category theory; homological algebra (18-XX) 39 Differential geometry (53-XX) 35 Functional analysis (46-XX) 24 Algebraic geometry (14-XX) 22 Global analysis, analysis on manifolds (58-XX) 20 Quantum theory (81-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Convex and discrete geometry (52-XX) 15 Combinatorics (05-XX) 11 Topological groups, Lie groups (22-XX) 10 Number theory (11-XX) 9 Associative rings and algebras (16-XX) 9 Relativity and gravitational theory (83-XX) 7 Several complex variables and analytic spaces (32-XX) 6 General topology (54-XX) 5 Field theory and polynomials (12-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Commutative algebra (13-XX) 3 Operator theory (47-XX) 3 Geometry (51-XX) 2 General and overarching topics; collections (00-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Abstract harmonic analysis (43-XX) 2 Mechanics of particles and systems (70-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Partial differential equations (35-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Systems theory; control (93-XX) Citations by Year