Edit Profile (opens in new tab) Kirby, Robion Cromwell Compute Distance To: Compute Author ID: kirby.robion-c Published as: Kirby, Robion; Kirby, R. C.; Kirby, Rob; Kirby, Robion C. more...less External Links: MacTutor · MGP · Wikidata · GND · IdRef Documents Indexed: 57 Publications since 1966, including 5 Books 1 Contribution as Editor Biographic References: 1 Publication Co-Authors: 18 Co-Authors with 37 Joint Publications 372 Co-Co-Authors all top 5 Co-Authors 19 single-authored 9 Melvin, Paul M. 7 Gay, David T. 4 Akbulut, Selman 4 Siebenmann, Laurence C. 3 Scharlemann, Martin G. 3 Taylor, Laurence Robert 2 Freedman, Michael Hartley 2 Thompson, Abigail A. 1 Abrams, Aaron 1 Baxter, Rodney J. 1 Birman, Joan S. 1 Bisch, Dietmar H. 1 Conder, Marston Donald Edward 1 Connes, Alain 1 de la Harpe, Pierre 1 Edwards, Robert Duncan 1 Evans, David E. 1 Goodman, Fred J. 1 Gordon, Cameron McA. 1 Guionnet, Alice 1 Harer, John L. 1 Izumi, Masaki 1 Jaffe, Arthur Michael 1 Kas, Arnold 1 Kawahigashi, Yasuyuki 1 Krushkal, Vyacheslav S. 1 Lehrer, Gustav Isaac 1 Lickorish, William Bernard Raymond 1 Longo, Roberto 1 Martin, Gaven J. 1 Popa, Sorin Teodor 1 Ratcliffe, John G. 1 Reshetikhin, Nikolai Yu. 1 Shlyakhtenko, Dimitri L. 1 Skandalis, Georges 1 Sutherland, Colin E. 1 Teichner, Peter 1 Wang, Zhenghan 1 Witten, Edward 1 Woodin, W. Hugh 1 Zhang, Xingru all top 5 Serials 5 Geometry & Topology 4 Proceedings of the National Academy of Sciences of the United States of America 4 Notices of the American Mathematical Society 3 Inventiones Mathematicae 3 Topology 3 Annals of Mathematics. Second Series 3 Bulletin of the American Mathematical Society 2 Mathematische Annalen 2 Turkish Journal of Mathematics 1 Communications in Mathematical Physics 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Commentarii Mathematici Helvetici 1 Memoirs of the American Mathematical Society 1 Michigan Mathematical Journal 1 Proceedings of the American Mathematical Society 1 New Zealand Journal of Mathematics 1 Annals of Mathematics Studies 1 Contemporary Mathematics 1 Lecture Notes in Mathematics 1 Geometry and Topology Monographs all top 5 Fields 47 Manifolds and cell complexes (57-XX) 5 General and overarching topics; collections (00-XX) 5 Algebraic topology (55-XX) 4 Quantum theory (81-XX) 2 History and biography (01-XX) 2 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Computer science (68-XX) 1 Number theory (11-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 51 Publications have been cited 1,399 times in 1,149 Documents Cited by ▼ Year ▼ Foundational essays on topological manifolds, smoothings and triangulations. Zbl 0361.57004Kirby, Robion C.; Siebenmann, Laurence C. 257 1977 A calculus for framed links in \(S^3\). Zbl 0377.55001Kirby, Robion 155 1978 The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\). Zbl 0745.57006Kirby, Robion; Melvin, Paul 143 1991 The topology of 4-manifolds. Zbl 0668.57001Kirby, Robion C. 105 1989 Deformations of spaces of imbeddings. Zbl 0214.50303Edwards, R. D.; Kirby, R. C. 101 1971 On the triangulation of manifolds and the Hauptvermutung. Zbl 0189.54701Kirby, R. C.; Siebenmann, L. C. 95 1969 Stable homeomorphisms and the annulus conjecture. Zbl 0176.22004Kirby, R. C. 52 1969 Problems in low dimensional manifold theory. Zbl 0394.57002Kirby, Rob 50 1978 Branched covers of surfaces in 4-manifolds. Zbl 0421.57002Akbulut, Selman; Kirby, Robion 45 1980 Dedekind sums, \(\mu\)-invariants and the signature cocycle. Zbl 0809.11027Kirby, Robion; Melvin, Paul 42 1994 Trisecting 4-manifolds. Zbl 1372.57033Gay, David T.; Kirby, Robion 41 2016 \(Pin\) structures on low-dimensional manifolds. Zbl 0754.57020Kirby, R. C.; Taylor, L. R. 37 1990 Mazur manifolds. Zbl 0443.57011Akbulut, Selman; Kirby, Robion 25 1979 Prime knots and concordance. Zbl 0426.57001Kirby, Robion C.; Lickorish, W. B. Raymond 23 1979 Handlebody decompositions of complex surfaces. Zbl 0631.57009Harer, John; Kas, Arnold; Kirby, Robion 20 1986 A potential smooth counterexample in dimension 4 to the Poincaré conjecture, the Schoenflies conjecture, and the Andrews-Curtis conjecture. Zbl 0584.57009Akbulut, Selman; Kirby, Robion 18 1985 A survey of 4-manifolds through the eyes of surgery. Zbl 0974.57012Kirby, Robion C.; Taylor, Laurence R. 15 2001 Constructing symplectic forms on 4–manifolds which vanish on circles. Zbl 1054.57027Gay, David T.; Kirby, Robion 15 2004 Constructing Lefschetz-type fibrations on four-manifolds. Zbl 1135.57009Gay, David T.; Kirby, Robion 11 2007 Canonical framings for 3-manifolds. Zbl 0947.57020Kirby, Rob; Melvin, Paul 11 1999 On the set of non-locally flat points of a submanifold of codimensional one. Zbl 0185.51603Kirby, R. C. 11 1968 Slice knots and property R. Zbl 0377.55002Kirby, Robion; Melvin, Paul 10 1978 Problems in low-dimensional topology. (Edited by Rob Kirby). Zbl 0888.57014 10 1997 An exotic involution of \(S^ 4\). Zbl 0465.57013Akbulut, Selman; Kirby, Robion 10 1979 A geometric proof of Rochlin’s theorem. Zbl 0392.57018Freedman, Michael; Kirby, Robion 9 1978 Normal bundles for codimension 2 locally flat imbeddings. Zbl 0331.57004Kirby, R. C.; Siebenmann, L. C. 9 1975 Indefinite Morse 2-functions: broken fibrations and generalizations. Zbl 1328.57019Gay, David T.; Kirby, Robion 8 2015 Cohomotopy sets of 4-manifolds. Zbl 1273.57012Kirby, Robion; Melvin, Paul; Teichner, Peter 7 2012 Some theorems on topological manifolds. Zbl 0216.45203Kirby, R. C.; Siebenmann, L. C. 7 1971 Local surgery formulas for quantum invariants and the Arf invariant. Zbl 1087.57006Kirby, Robion; Melvin, Paul 7 2004 Fiber-connected, indefinite Morse 2-functions on connected \(n\)-manifolds. Zbl 1256.57024Gay, David T.; Kirby, Robion C. 6 2011 Evaluations of the 3-manifolds invariants of Witten and Reshetikhin- Turaev for \(sl(2,C)\). Zbl 0756.57006Kirby, Robion; Melvin, Paul 5 1990 Quantum invariants at the sixth root of unity. Zbl 0779.57007Kirby, Robion; Melvin, Paul; Zhang, Xingru 4 1993 Akbulut’s corks and \(h\)-cobordisms of smooth, simply connected 4-manifolds. Zbl 0868.57031Kirby, Rob 4 1996 A calculation of \(Pin^ +\) bordism groups. Zbl 0719.55004Kirby, R. C.; Taylor, L. R. 4 1990 Eight faces of the Poincaré homology 3-sphere. Zbl 0511.57008Kirby, R. C.; Scharlemann, M. G. 4 1982 On the annulus conjecture. Zbl 0151.32902Kirby, R. C. 4 1966 The union of flat \((n-1)\)-balls is flat in \(R^ n\). Zbl 0157.54603Kirby, Robion C. 4 1968 Celebratio Mathematica. Zbl 1352.68277Kirby, Rob 3 2016 A new invariant of 4-manifolds. Zbl 1421.57031Kirby, Robion; Thompson, Abigail 3 2018 Group trisections and smooth 4-manifolds. Zbl 1404.57001Abrams, Aaron; Gay, David; Kirby, Robion 3 2018 Eight faces of the Poincaré homology 3-sphere. Zbl 0469.57006Kirby, R. C.; Scharlemann, M. G. 3 1979 Smoothing locally flat imbeddings of differentiable manifolds. Zbl 0152.22401Kirby, R. C. 3 1967 Four-manifold theory. (Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Four-manifold Theory held at Durham, New Hampshire, July 4-10, 1982). Zbl 0549.00018Kirby, Robion 2 1984 4-manifold problems. Zbl 0558.57004Kirby, Rob 2 1984 Reconstructing 4-manifolds from Morse 2-functions. Zbl 1267.57020Gay, David; Kirby, Robion 1 2012 What is …Boy’s surface? Zbl 1151.53306Kirby, Rob 1 2007 Trisections of 4-manifolds. Zbl 1421.57030Kirby, Robion 1 2018 Some conjectures about four-manifolds. Zbl 0223.57004Kirby, R. C. 1 1971 A curious category which equals TOP. Zbl 0315.57003Kirby, R. C.; Scharlemann, M. G. 1 1975 Smoothing locally flat imbeddings. Zbl 0138.18803Kirby, R. C. 1 1966 A new invariant of 4-manifolds. Zbl 1421.57031Kirby, Robion; Thompson, Abigail 3 2018 Group trisections and smooth 4-manifolds. Zbl 1404.57001Abrams, Aaron; Gay, David; Kirby, Robion 3 2018 Trisections of 4-manifolds. Zbl 1421.57030Kirby, Robion 1 2018 Trisecting 4-manifolds. Zbl 1372.57033Gay, David T.; Kirby, Robion 41 2016 Celebratio Mathematica. Zbl 1352.68277Kirby, Rob 3 2016 Indefinite Morse 2-functions: broken fibrations and generalizations. Zbl 1328.57019Gay, David T.; Kirby, Robion 8 2015 Cohomotopy sets of 4-manifolds. Zbl 1273.57012Kirby, Robion; Melvin, Paul; Teichner, Peter 7 2012 Reconstructing 4-manifolds from Morse 2-functions. Zbl 1267.57020Gay, David; Kirby, Robion 1 2012 Fiber-connected, indefinite Morse 2-functions on connected \(n\)-manifolds. Zbl 1256.57024Gay, David T.; Kirby, Robion C. 6 2011 Constructing Lefschetz-type fibrations on four-manifolds. Zbl 1135.57009Gay, David T.; Kirby, Robion 11 2007 What is …Boy’s surface? Zbl 1151.53306Kirby, Rob 1 2007 Constructing symplectic forms on 4–manifolds which vanish on circles. Zbl 1054.57027Gay, David T.; Kirby, Robion 15 2004 Local surgery formulas for quantum invariants and the Arf invariant. Zbl 1087.57006Kirby, Robion; Melvin, Paul 7 2004 A survey of 4-manifolds through the eyes of surgery. Zbl 0974.57012Kirby, Robion C.; Taylor, Laurence R. 15 2001 Canonical framings for 3-manifolds. Zbl 0947.57020Kirby, Rob; Melvin, Paul 11 1999 Problems in low-dimensional topology. (Edited by Rob Kirby). Zbl 0888.57014 10 1997 Akbulut’s corks and \(h\)-cobordisms of smooth, simply connected 4-manifolds. Zbl 0868.57031Kirby, Rob 4 1996 Dedekind sums, \(\mu\)-invariants and the signature cocycle. Zbl 0809.11027Kirby, Robion; Melvin, Paul 42 1994 Quantum invariants at the sixth root of unity. Zbl 0779.57007Kirby, Robion; Melvin, Paul; Zhang, Xingru 4 1993 The 3-manifold invariants of Witten and Reshetikhin-Turaev for sl\((2,\mathbb{C})\). Zbl 0745.57006Kirby, Robion; Melvin, Paul 143 1991 \(Pin\) structures on low-dimensional manifolds. Zbl 0754.57020Kirby, R. C.; Taylor, L. R. 37 1990 Evaluations of the 3-manifolds invariants of Witten and Reshetikhin- Turaev for \(sl(2,C)\). Zbl 0756.57006Kirby, Robion; Melvin, Paul 5 1990 A calculation of \(Pin^ +\) bordism groups. Zbl 0719.55004Kirby, R. C.; Taylor, L. R. 4 1990 The topology of 4-manifolds. Zbl 0668.57001Kirby, Robion C. 105 1989 Handlebody decompositions of complex surfaces. Zbl 0631.57009Harer, John; Kas, Arnold; Kirby, Robion 20 1986 A potential smooth counterexample in dimension 4 to the Poincaré conjecture, the Schoenflies conjecture, and the Andrews-Curtis conjecture. Zbl 0584.57009Akbulut, Selman; Kirby, Robion 18 1985 Four-manifold theory. (Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Four-manifold Theory held at Durham, New Hampshire, July 4-10, 1982). Zbl 0549.00018Kirby, Robion 2 1984 4-manifold problems. Zbl 0558.57004Kirby, Rob 2 1984 Eight faces of the Poincaré homology 3-sphere. Zbl 0511.57008Kirby, R. C.; Scharlemann, M. G. 4 1982 Branched covers of surfaces in 4-manifolds. Zbl 0421.57002Akbulut, Selman; Kirby, Robion 45 1980 Mazur manifolds. Zbl 0443.57011Akbulut, Selman; Kirby, Robion 25 1979 Prime knots and concordance. Zbl 0426.57001Kirby, Robion C.; Lickorish, W. B. Raymond 23 1979 An exotic involution of \(S^ 4\). Zbl 0465.57013Akbulut, Selman; Kirby, Robion 10 1979 Eight faces of the Poincaré homology 3-sphere. Zbl 0469.57006Kirby, R. C.; Scharlemann, M. G. 3 1979 A calculus for framed links in \(S^3\). Zbl 0377.55001Kirby, Robion 155 1978 Problems in low dimensional manifold theory. Zbl 0394.57002Kirby, Rob 50 1978 Slice knots and property R. Zbl 0377.55002Kirby, Robion; Melvin, Paul 10 1978 A geometric proof of Rochlin’s theorem. Zbl 0392.57018Freedman, Michael; Kirby, Robion 9 1978 Foundational essays on topological manifolds, smoothings and triangulations. Zbl 0361.57004Kirby, Robion C.; Siebenmann, Laurence C. 257 1977 Normal bundles for codimension 2 locally flat imbeddings. Zbl 0331.57004Kirby, R. C.; Siebenmann, L. C. 9 1975 A curious category which equals TOP. Zbl 0315.57003Kirby, R. C.; Scharlemann, M. G. 1 1975 Deformations of spaces of imbeddings. Zbl 0214.50303Edwards, R. D.; Kirby, R. C. 101 1971 Some theorems on topological manifolds. Zbl 0216.45203Kirby, R. C.; Siebenmann, L. C. 7 1971 Some conjectures about four-manifolds. Zbl 0223.57004Kirby, R. C. 1 1971 On the triangulation of manifolds and the Hauptvermutung. Zbl 0189.54701Kirby, R. C.; Siebenmann, L. C. 95 1969 Stable homeomorphisms and the annulus conjecture. Zbl 0176.22004Kirby, R. C. 52 1969 On the set of non-locally flat points of a submanifold of codimensional one. Zbl 0185.51603Kirby, R. C. 11 1968 The union of flat \((n-1)\)-balls is flat in \(R^ n\). Zbl 0157.54603Kirby, Robion C. 4 1968 Smoothing locally flat imbeddings of differentiable manifolds. Zbl 0152.22401Kirby, R. C. 3 1967 On the annulus conjecture. Zbl 0151.32902Kirby, R. C. 4 1966 Smoothing locally flat imbeddings. Zbl 0138.18803Kirby, R. C. 1 1966 all cited Publications top 5 cited Publications all top 5 Cited by 1,105 Authors 18 Farrell, F. Thomas 13 Kirby, Robion Cromwell 12 Kwasik, Sławomir 12 Le, Thang Tu Quoc 12 Livingston, Charles 10 Jones, Lowell Edwin 10 Ruberman, Daniel 9 Akbulut, Selman 9 Gay, David T. 9 Siebenmann, Laurence C. 9 Stoimenow, Alexander 9 Weiss, Michael S. 8 Cavicchioli, Alberto 8 Gilmer, Patrick M. 8 Gompf, Robert E. 8 Kauffman, Louis Hirsch 8 Murakami, Hitoshi 8 Ogasa, Eiji 8 Weinberger, Shmuel 7 Cochran, Thomas (Tim) Daniel 7 Ferry, Steven C. 7 Garoufalidis, Stavros 7 Khan, Qayum 7 Meier, Jeffrey 7 Melvin, Paul M. 7 Powell, Mark 7 Quinn, Frank S. 7 Rybicki, Tomasz 7 Stipsicz, András I. 7 Teichner, Peter 6 Bryant, John Logan 6 Cha, Jae Choon 6 Costantino, Francesco 6 Crowley, Diarmuid John 6 Lisca, Paolo 6 Ray, Arunima 6 Repovš, Dušan D. 6 Saveliev, Nikolai 6 Schultz, Reinhard E. 6 Stern, Ronald John 6 Williams, Bruce 6 Yamada, Yuichi 5 Cappell, Sylvain E. 5 Chapman, Thomas Ashland 5 Daverman, Robert J. 5 Freedman, Michael Hartley 5 Grines, Vyacheslav Zigmundovich 5 Gukov, Sergei 5 Habiro, Kazuo 5 Hambleton, Ian 5 Kreck, Matthias 5 Lambert-Cole, Peter 5 Miller, Maggie 5 Nakamura, Nobuhiro 5 Ohtsuki, Tomotada 5 Sati, Hisham 5 Shiota, Masahiro 5 Sozen, Yasar 5 Spaggiari, Fulvia 5 Takata, Toshie 5 Taylor, Laurence Robert 5 Turaev, Vladimir Georgievich 4 Auckly, David R. 4 Baykur, Refik İnanç 4 Benedetti, Bruno 4 Burghelea, Dan 4 Burton, Benjamin A. 4 Calegari, Danny Matthew Cornelius 4 Casali, Maria Rita 4 Chen, Qi 4 Gauld, David B. 4 Geer, Nathan 4 Hayano, Kenta 4 Hegenbarth, Friedrich 4 Hillman, Jonathan Arthur 4 Hsiang, Wu-Chung 4 Hughes, C. Bruce 4 Kasilingam, Ramesh 4 Pedersen, Erik Kjær 4 Land, Markus 4 Lashof, Richard K. 4 Lawrence, Ruth J. 4 Levine, Jerome P. 4 Macko, Tibor 4 Medvedev, Vladislav Sergeevich 4 Murakami, Jun 4 Patureau-Mirand, Bertrand 4 Putrov, Pavel 4 Saeki, Osamu 4 Sawin, Stephen F. 4 Scharlemann, Martin G. 4 Spreer, Jonathan 4 Szabo, Zoltan 4 Tange, Motoo 4 Thompson, Abigail A. 4 Vassiliev, Dmitri G. 4 Walker, Kevin 4 Yasui, Kouichi 4 Zupan, Alexander 3 Adiprasito, Karim Alexander ...and 1,005 more Authors all top 5 Cited in 201 Serials 90 Topology and its Applications 77 Transactions of the American Mathematical Society 68 Algebraic & Geometric Topology 62 Geometry & Topology 61 Proceedings of the American Mathematical Society 61 Journal of Knot Theory and its Ramifications 48 Inventiones Mathematicae 28 Communications in Mathematical Physics 26 Bulletin of the American Mathematical Society 23 Mathematical Proceedings of the Cambridge Philosophical Society 23 Mathematische Annalen 21 Advances in Mathematics 19 Bulletin of the American Mathematical Society. New Series 18 Geometriae Dedicata 15 Journal of Mathematical Physics 15 Mathematische Zeitschrift 14 Duke Mathematical Journal 14 Journal of Topology 13 Compositio Mathematica 13 International Journal of Mathematics 12 Journal of High Energy Physics 9 Pacific Journal of Mathematics 8 Osaka Journal of Mathematics 8 \(K\)-Theory 8 Journal of the American Mathematical Society 8 Quantum Topology 7 Journal of Geometry and Physics 7 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 7 Journal of Pure and Applied Algebra 7 Manuscripta Mathematica 7 Experimental Mathematics 7 Proceedings of the Steklov Institute of Mathematics 6 Communications on Pure and Applied Mathematics 6 Letters in Mathematical Physics 6 Journal of Topology and Analysis 5 Bulletin of the Australian Mathematical Society 5 Bulletin of the London Mathematical Society 5 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 5 Annals of Mathematics. Second Series 5 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Israel Journal of Mathematics 4 Rocky Mountain Journal of Mathematics 4 Annales de l’Institut Fourier 4 Journal für die Reine und Angewandte Mathematik 4 Memoirs of the American Mathematical Society 4 Michigan Mathematical Journal 4 Proceedings of the Edinburgh Mathematical Society. Series II 4 Ergodic Theory and Dynamical Systems 4 International Journal of Algebra and Computation 4 The Journal of Geometric Analysis 4 Expositiones Mathematicae 4 Groups, Geometry, and Dynamics 3 Communications in Algebra 3 Chaos, Solitons and Fractals 3 The Mathematical Intelligencer 3 Acta Mathematica 3 Acta Mathematica Vietnamica 3 Cahiers de Topologie et Géométrie Différentielle Catégoriques 3 Canadian Journal of Mathematics 3 Glasgow Mathematical Journal 3 Publications Mathématiques 3 Journal of the London Mathematical Society. Second Series 3 Journal of the Mathematical Society of Japan 3 Journal of Number Theory 3 Publications of the Research Institute for Mathematical Sciences, Kyoto University 3 Tôhoku Mathematical Journal. Second Series 3 European Journal of Combinatorics 3 Forum Mathematicum 3 Differential Geometry and its Applications 3 Journal of Mathematical Sciences (New York) 3 The New York Journal of Mathematics 3 Selecta Mathematica. New Series 3 Conformal Geometry and Dynamics 3 Journal of the European Mathematical Society (JEMS) 3 Acta Mathematica Sinica. English Series 3 Journal of the Australian Mathematical Society 3 Journal of Homotopy and Related Structures 3 Forum of Mathematics, Sigma 3 Winter Braids Lecture Notes 2 Journal of Mathematical Analysis and Applications 2 Mathematical Notes 2 Nuclear Physics. B 2 Periodica Mathematica Hungarica 2 Ukrainian Mathematical Journal 2 Reviews in Mathematical Physics 2 Archiv der Mathematik 2 Functional Analysis and its Applications 2 Fundamenta Mathematicae 2 Illinois Journal of Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Integral Equations and Operator Theory 2 Journal of Algebra 2 Mathematika 2 Monatshefte für Mathematik 2 Proceedings of the London Mathematical Society. Third Series 2 Results in Mathematics 2 L’Enseignement Mathématique. 2e Série 2 Proceedings of the National Academy of Sciences of the United States of America 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Chinese Science Bulletin ...and 101 more Serials all top 5 Cited in 50 Fields 951 Manifolds and cell complexes (57-XX) 148 Algebraic topology (55-XX) 126 Differential geometry (53-XX) 92 Quantum theory (81-XX) 88 Global analysis, analysis on manifolds (58-XX) 58 Group theory and generalizations (20-XX) 57 Algebraic geometry (14-XX) 52 General topology (54-XX) 44 Category theory; homological algebra (18-XX) 42 Nonassociative rings and algebras (17-XX) 39 Dynamical systems and ergodic theory (37-XX) 36 Several complex variables and analytic spaces (32-XX) 26 Number theory (11-XX) 24 Topological groups, Lie groups (22-XX) 21 Associative rings and algebras (16-XX) 18 \(K\)-theory (19-XX) 17 Combinatorics (05-XX) 17 Relativity and gravitational theory (83-XX) 14 Functions of a complex variable (30-XX) 12 Convex and discrete geometry (52-XX) 12 Statistical mechanics, structure of matter (82-XX) 11 Computer science (68-XX) 10 Partial differential equations (35-XX) 9 History and biography (01-XX) 9 Measure and integration (28-XX) 9 Functional analysis (46-XX) 8 Geometry (51-XX) 6 Real functions (26-XX) 6 Approximations and expansions (41-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Special functions (33-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Potential theory (31-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Statistics (62-XX) 2 Mathematical logic and foundations (03-XX) 2 Field theory and polynomials (12-XX) 2 Ordinary differential equations (34-XX) 2 Probability theory and stochastic processes (60-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Mechanics of deformable solids (74-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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