Edit Profile (opens in new tab) Emerton, Matthew Co-Author Distance Author ID: emerton.matthew Published as: Emerton, Matthew; Emerton, M. Further Spellings: Emerton, Matthew James Homepage: http://www.math.uchicago.edu/~emerton/ External Links: MGP · Wikidata · MathOverflow · GND · IdRef · theses.fr Videos: carmin.tv Documents Indexed: 52 Publications since 1999, including 3 Books and 7 Additional arXiv Preprints 1 Further Contribution Co-Authors: 24 Co-Authors with 38 Joint Publications 252 Co-Co-Authors all top 5 Co-Authors 15 single-authored 17 Gee, Toby 10 Calegari, Frank 5 Caraiani, Ana 4 Paškūnas, Vytautas 4 Savitt, David 3 Kisin, Mark 3 Weston, Tom 2 Geraghty, David 2 Pollack, Robert 2 Reduzzi, Davide A. 2 Shin, Sug Woo 2 Xiao, Liang 1 Boxer, George 1 Breuil, Christophe 1 Dickinson, Mark R. 1 Dotto, Andrea 1 Gouvêa, Fernando Quadros 1 Hellmann, Eugen 1 Helm, David 1 Herzig, Florian 1 Levin, Brandon 1 Madapusi Pera, Keerthi 1 Mavrides, Lambros 1 Nadler, David 1 Patrikis, Stefan T. 1 Vilonen, Kari all top 5 Serials 4 Inventiones Mathematicae 3 Duke Mathematical Journal 3 Forum of Mathematics, Sigma 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Compositio Mathematica 2 Mathematische Annalen 2 IMRN. International Mathematics Research Notices 2 Annals of Mathematics. Second Series 2 Journal of the Institute of Mathematics of Jussieu 1 Israel Journal of Mathematics 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Journal of the American Mathematical Society 1 Mathematical Research Letters 1 Pure and Applied Mathematics Quarterly 1 Annals of Mathematics Studies 1 Astérisque 1 Groups, Geometry, and Dynamics 1 Algebra & Number Theory 1 Cambridge Journal of Mathematics 1 Algebraic Geometry 1 Journal de l’École Polytechnique – Mathématiques all top 5 Fields 36 Number theory (11-XX) 18 Topological groups, Lie groups (22-XX) 11 Algebraic geometry (14-XX) 2 Group theory and generalizations (20-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 44 Publications have been cited 1,001 times in 586 Documents Cited by ▼ Year ▼ On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms. Zbl 1090.22008 Emerton, Matthew 75 2006 Variation of Iwasawa invariants in Hida families. Zbl 1093.11065 Emerton, Matthew; Pollack, Robert; Weston, Tom 73 2006 Patching and the \(p\)-adic local Langlands correspondence. Zbl 1403.11073 Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo 66 2016 Locally analytic vectors in representations of locally \(p\)-adic analytic groups. Zbl 1430.22020 Emerton, Matthew 54 2017 A geometric perspective on the Breuil-Mézard conjecture. Zbl 1318.11061 Emerton, Matthew; Gee, Toby 53 2014 Ordinary parts of admissible representations of \(p\)-adic reductive groups. I: Definition and first properties. Zbl 1205.22013 Emerton, Matthew 51 2010 Jacquet modules of locally analytic representations of \(p\)-adic reductive groups. I: Construction and first properties. Zbl 1117.22008 Emerton, Matthew 50 2006 A local-global compatibility conjecture in the \(p\)-adic Langlands programme for \(\text{GL}_{2}/\mathbb Q\). Zbl 1254.11106 Emerton, Matthew 46 2006 The local Langlands correspondence for \(\mathrm{GL}_n\) in families. (La correspondance de Langlands local pour \(GL_n\) dans les familles.) Zbl 1321.11055 Emerton, Matthew; Helm, David 39 2014 Completed cohomology – a survey. Zbl 1288.11056 Calegari, Frank; Emerton, Matthew 35 2012 Ordinary parts of admissible representations of \(p\)-adic reductive groups. II: Derived functors. Zbl 1205.22014 Emerton, Matthew 32 2010 On the ramification of Hecke algebras at Eisenstein primes. Zbl 1145.11314 Calegari, Frank; Emerton, Matthew 31 2005 Lattices in the cohomology of Shimura curves. Zbl 1396.11089 Emerton, Matthew; Gee, Toby; Savitt, David 31 2015 The Riemann-Hilbert correspondence for unit \(F\)-crystals. Zbl 1056.14025 Emerton, Matthew; Kisin, Mark 28 2004 Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms. Zbl 1195.22015 Calegari, Frank; Emerton, Matthew 24 2009 Weight cycling and Serre-type conjectures for unitary groups. Zbl 1283.11083 Emerton, Matthew; Gee, Toby; Herzig, Florian 24 2013 Ordinary \(p\)-adic representations of \(\text{GL}_2 (\mathbb Q_p)\) and local-global compatibility. (Représentations \(p\)-adiques ordinaires de \(\text{GL}_2 (\mathbb Q_p)\) et compatibilité local-global.) Zbl 1251.11043 Breuil, Christophe; Emerton, Matthew 24 2010 \(p\)-adic \(L\)-functions and unitary completions of representations of \(p\)-adic reductive groups. Zbl 1092.11024 Emerton, Matthew 21 2005 Supersingular elliptic curves, theta series and weight two modular forms. Zbl 1125.11318 Emerton, Matthew 20 2002 Deformations of Galois representations. Zbl 0990.11034 Gouvêa, Fernando Q. 18 2001 Completed cohomology and the \(p\)-adic Langlands program. Zbl 1373.11039 Emerton, Matthew 15 2014 Patching and the \(p\)-adic Langlands program for \(\mathrm{GL}_{2}(\mathbb{Q}_{p})\). Zbl 1461.11157 Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo 15 2017 Optimal quotients of modular Jacobians. Zbl 1061.11018 Emerton, Matthew 12 2003 Moduli stacks of étale \((\Phi, \Gamma)\)-modules and the existence of crystalline lifts. Zbl 1529.11003 Emerton, Matthew; Gee, Toby 12 2023 An introduction to the Riemann-Hilbert correspondence for unit \(F\)-crystals. Zbl 1104.14012 Emerton, Matthew; Kisin, Mark 11 2004 \(p\)-adic Hodge-theoretic properties of étale cohomology with \(\mod{p}\) coefficients, and the cohomology of Shimura varieties. Zbl 1321.11050 Emerton, Matthew; Gee, Toby 11 2015 On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras. (Sur la densité des points supercuspidaux de poids régulier fixé dans des anneaux locaux de déformations et des algèbres de Hecke globales.) Zbl 1470.11305 Emerton, Matthew; Paškūnas, Vytautas 11 2020 Locally analytic representation theory of \(p\)-adic reductive groups: a summary of some recent developments. Zbl 1149.22014 Emerton, Matthew 10 2007 Elliptic curves of odd modular degree. Zbl 1275.11096 Calegari, Frank; Emerton, Matthew 10 2009 Mod-\(p\) cohomology growth in \(p\)-adic analytic towers of 3-manifolds. Zbl 1242.57014 Calegari, Frank; Emerton, Matthew 10 2011 Unit \(L\)-functions and a conjecture of Katz. Zbl 1076.14027 Emerton, Matthew; Kisin, Mark 9 2001 On the effaceability of certain \(\delta\)-functors. Zbl 1198.22010 Emerton, Matthew; Paškūnas, Vytautas 9 2010 A geometric Jacquet functor. Zbl 1134.22300 Emerton, M.; Nadler, D.; Vilonen, K. 8 2004 The Eisenstein ideal in Hida’s ordinary Hecke algebra. Zbl 0952.11010 Emerton, Matthew 8 1999 Unramifiedness of Galois representations arising from Hilbert modular surfaces. Zbl 1433.11070 Emerton, Matthew; Reduzzi, Davide; Xiao, Liang 7 2017 “Scheme-theoretic images” of morphisms of stacks. Zbl 1521.14028 Emerton, Matthew; Gee, Toby 7 2021 \(p\)-adic families of modular forms (after Hida, Coleman and Mazur). Zbl 1356.11026 Emerton, Matthew 7 2011 Galois representations and torsion in the coherent cohomology of Hilbert modular varieties. Zbl 1430.11081 Emerton, Matthew; Reduzzi, Davide A.; Xiao, Liang 7 2017 The Hecke algebra \(T_k\) has large index. Zbl 1153.11310 Calegari, Frank; Emerton, Matthew 5 2004 Homological stability for completed homology. Zbl 1404.11071 Calegari, Frank; Emerton, Matthew 5 2016 A new proof of a theorem of Hida. Zbl 0928.14018 Emerton, Matthew 3 1999 Compatible systems of Galois representations associated to the exceptional group \(E_6\). Zbl 1468.11121 Boxer, George; Calegari, Frank; Emerton, Matthew; Levin, Brandon; Madapusi Pera, Keerthi; Patrikis, Stefan 3 2019 Explicit Serre weights for two-dimensional Galois representations. Zbl 1417.11096 Calegari, Frank; Emerton, Matthew; Gee, Toby; Mavrides, Lambros 3 2017 Langlands reciprocity: \(L\)-functions, automorphic forms, and diophantine equations. Zbl 1491.11053 Emerton, Matthew 1 2021 Moduli stacks of étale \((\Phi, \Gamma)\)-modules and the existence of crystalline lifts. Zbl 1529.11003 Emerton, Matthew; Gee, Toby 12 2023 “Scheme-theoretic images” of morphisms of stacks. Zbl 1521.14028 Emerton, Matthew; Gee, Toby 7 2021 Langlands reciprocity: \(L\)-functions, automorphic forms, and diophantine equations. Zbl 1491.11053 Emerton, Matthew 1 2021 On the density of supercuspidal points of fixed regular weight in local deformation rings and global Hecke algebras. (Sur la densité des points supercuspidaux de poids régulier fixé dans des anneaux locaux de déformations et des algèbres de Hecke globales.) Zbl 1470.11305 Emerton, Matthew; Paškūnas, Vytautas 11 2020 Compatible systems of Galois representations associated to the exceptional group \(E_6\). Zbl 1468.11121 Boxer, George; Calegari, Frank; Emerton, Matthew; Levin, Brandon; Madapusi Pera, Keerthi; Patrikis, Stefan 3 2019 Locally analytic vectors in representations of locally \(p\)-adic analytic groups. Zbl 1430.22020 Emerton, Matthew 54 2017 Patching and the \(p\)-adic Langlands program for \(\mathrm{GL}_{2}(\mathbb{Q}_{p})\). Zbl 1461.11157 Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo 15 2017 Unramifiedness of Galois representations arising from Hilbert modular surfaces. Zbl 1433.11070 Emerton, Matthew; Reduzzi, Davide; Xiao, Liang 7 2017 Galois representations and torsion in the coherent cohomology of Hilbert modular varieties. Zbl 1430.11081 Emerton, Matthew; Reduzzi, Davide A.; Xiao, Liang 7 2017 Explicit Serre weights for two-dimensional Galois representations. Zbl 1417.11096 Calegari, Frank; Emerton, Matthew; Gee, Toby; Mavrides, Lambros 3 2017 Patching and the \(p\)-adic local Langlands correspondence. Zbl 1403.11073 Caraiani, Ana; Emerton, Matthew; Gee, Toby; Geraghty, David; Paškūnas, Vytautas; Shin, Sug Woo 66 2016 Homological stability for completed homology. Zbl 1404.11071 Calegari, Frank; Emerton, Matthew 5 2016 Lattices in the cohomology of Shimura curves. Zbl 1396.11089 Emerton, Matthew; Gee, Toby; Savitt, David 31 2015 \(p\)-adic Hodge-theoretic properties of étale cohomology with \(\mod{p}\) coefficients, and the cohomology of Shimura varieties. Zbl 1321.11050 Emerton, Matthew; Gee, Toby 11 2015 A geometric perspective on the Breuil-Mézard conjecture. Zbl 1318.11061 Emerton, Matthew; Gee, Toby 53 2014 The local Langlands correspondence for \(\mathrm{GL}_n\) in families. (La correspondance de Langlands local pour \(GL_n\) dans les familles.) Zbl 1321.11055 Emerton, Matthew; Helm, David 39 2014 Completed cohomology and the \(p\)-adic Langlands program. Zbl 1373.11039 Emerton, Matthew 15 2014 Weight cycling and Serre-type conjectures for unitary groups. Zbl 1283.11083 Emerton, Matthew; Gee, Toby; Herzig, Florian 24 2013 Completed cohomology – a survey. Zbl 1288.11056 Calegari, Frank; Emerton, Matthew 35 2012 Mod-\(p\) cohomology growth in \(p\)-adic analytic towers of 3-manifolds. Zbl 1242.57014 Calegari, Frank; Emerton, Matthew 10 2011 \(p\)-adic families of modular forms (after Hida, Coleman and Mazur). Zbl 1356.11026 Emerton, Matthew 7 2011 Ordinary parts of admissible representations of \(p\)-adic reductive groups. I: Definition and first properties. Zbl 1205.22013 Emerton, Matthew 51 2010 Ordinary parts of admissible representations of \(p\)-adic reductive groups. II: Derived functors. Zbl 1205.22014 Emerton, Matthew 32 2010 Ordinary \(p\)-adic representations of \(\text{GL}_2 (\mathbb Q_p)\) and local-global compatibility. (Représentations \(p\)-adiques ordinaires de \(\text{GL}_2 (\mathbb Q_p)\) et compatibilité local-global.) Zbl 1251.11043 Breuil, Christophe; Emerton, Matthew 24 2010 On the effaceability of certain \(\delta\)-functors. Zbl 1198.22010 Emerton, Matthew; Paškūnas, Vytautas 9 2010 Bounds for multiplicities of unitary representations of cohomological type in spaces of cusp forms. Zbl 1195.22015 Calegari, Frank; Emerton, Matthew 24 2009 Elliptic curves of odd modular degree. Zbl 1275.11096 Calegari, Frank; Emerton, Matthew 10 2009 Locally analytic representation theory of \(p\)-adic reductive groups: a summary of some recent developments. Zbl 1149.22014 Emerton, Matthew 10 2007 On the interpolation of systems of eigenvalues attached to automorphic Hecke eigenforms. Zbl 1090.22008 Emerton, Matthew 75 2006 Variation of Iwasawa invariants in Hida families. Zbl 1093.11065 Emerton, Matthew; Pollack, Robert; Weston, Tom 73 2006 Jacquet modules of locally analytic representations of \(p\)-adic reductive groups. I: Construction and first properties. Zbl 1117.22008 Emerton, Matthew 50 2006 A local-global compatibility conjecture in the \(p\)-adic Langlands programme for \(\text{GL}_{2}/\mathbb Q\). Zbl 1254.11106 Emerton, Matthew 46 2006 On the ramification of Hecke algebras at Eisenstein primes. Zbl 1145.11314 Calegari, Frank; Emerton, Matthew 31 2005 \(p\)-adic \(L\)-functions and unitary completions of representations of \(p\)-adic reductive groups. Zbl 1092.11024 Emerton, Matthew 21 2005 The Riemann-Hilbert correspondence for unit \(F\)-crystals. Zbl 1056.14025 Emerton, Matthew; Kisin, Mark 28 2004 An introduction to the Riemann-Hilbert correspondence for unit \(F\)-crystals. Zbl 1104.14012 Emerton, Matthew; Kisin, Mark 11 2004 A geometric Jacquet functor. Zbl 1134.22300 Emerton, M.; Nadler, D.; Vilonen, K. 8 2004 The Hecke algebra \(T_k\) has large index. Zbl 1153.11310 Calegari, Frank; Emerton, Matthew 5 2004 Optimal quotients of modular Jacobians. Zbl 1061.11018 Emerton, Matthew 12 2003 Supersingular elliptic curves, theta series and weight two modular forms. Zbl 1125.11318 Emerton, Matthew 20 2002 Deformations of Galois representations. Zbl 0990.11034 Gouvêa, Fernando Q. 18 2001 Unit \(L\)-functions and a conjecture of Katz. Zbl 1076.14027 Emerton, Matthew; Kisin, Mark 9 2001 The Eisenstein ideal in Hida’s ordinary Hecke algebra. Zbl 0952.11010 Emerton, Matthew 8 1999 A new proof of a theorem of Hida. Zbl 0928.14018 Emerton, Matthew 3 1999 all cited Publications top 5 cited Publications all top 5 Cited by 461 Authors 15 Morra, Stefano 14 Gee, Toby 13 Le, Daniel 12 Emerton, Matthew 12 Paškūnas, Vytautas 11 Breuil, Christophe 11 Lei, Antonio 10 Calegari, Frank 10 Schmidt, Tobias 10 Schraen, Benjamin 10 Sorensen, Claus Mazanti 9 Caraiani, Ana 9 Dospinescu, Gabriel 9 Herzig, Florian 8 Ding, Yiwen 8 Hu, Yongquan 8 Johansson, Christian 8 Newton, James 7 Agashe, Amod 7 Hellmann, Eugen 7 Helm, David 7 Le Hung, Bao Viet 7 Levin, Brandon 7 Park, Chol 7 Strauch, Matthias 6 Colmez, Pierre 6 Delbourgo, Daniel 6 Hauseux, Julien 6 Kozioł, Karol 6 Mézard, Ariane 6 Scholze, Peter 6 Sujatha, Ramdorai 6 Venkatesh, Akshay 6 Vignéras, Marie-France 5 Bellaïche, Joël 5 Bergdall, John 5 Bergeron, Nicolas 5 Chojecki, Przemyslaw 5 David, Agnès 5 Dimitrov, Mladen 5 Hatley, Jeffrey 5 Moss, Gilbert 5 Nizioł, Wiesława 5 Ray, Anwesh 5 Rozensztajn, Sandra 5 Shekhar, Sudhanshu 5 Shotton, Jack 5 Stäbler, Axel 5 Wake, Preston 5 Wang-Erickson, Carl 4 Aouissi, Siham 4 Asakura, Masanori 4 Blickle, Manuel 4 Böckle, Gebhard 4 Caruso, Xavier 4 Castella, Francesc 4 Deo, Shaunak V. 4 Geraghty, David 4 Hansen, David 4 Ismaili, Moulay Chrif 4 Kionke, Steffen 4 Kohlhaase, Jan 4 Lahiri, Aranya 4 Lecouturier, Emmanuel 4 Ludwig, Judith 4 Ray, Jishnu 4 Savitt, David 4 Şengün, Mehmet Haluk 4 Shin, Sug Woo 4 Thorne, Jack 4 Weston, Tom 4 Wiese, Gabor 3 Abe, Noriyuki 3 Azizi, Abdelmalek 3 Ban, Dubravka 3 Berger, Laurent 3 Büyükboduk, Kâzim 3 Church, Thomas 3 Darmon, Henri René 3 Diamond, Fred 3 Disegni, Daniel 3 Ghate, Eknath P. 3 Gulotta, Daniel R. 3 Huyghe, Christine 3 Jha, Somnath 3 Kim, Chan-Ho 3 Krishnamoorthy, Srilakshmi 3 Loeffler, David 3 Majumdar, Dipramit 3 Manning, Jeffrey A. 3 Matringe, Nadir 3 Nadimpalli, Santosh 3 Ochiai, Tadashi 3 Pan, Lue 3 Papikian, Mihran 3 Pilloni, Vincent 3 Poyeton, Léo 3 Ren, Rufei 3 Rustom, Nadim 3 Schneider, Peter ...and 361 more Authors all top 5 Cited in 97 Serials 36 Journal of Number Theory 27 Compositio Mathematica 25 Mathematische Annalen 22 Algebra & Number Theory 21 Inventiones Mathematicae 20 Transactions of the American Mathematical Society 19 Duke Mathematical Journal 19 Journal de Théorie des Nombres de Bordeaux 16 Journal of the Institute of Mathematics of Jussieu 15 Annales de l’Institut Fourier 15 Representation Theory 15 International Journal of Number Theory 14 Journal of Algebra 14 Forum of Mathematics, Sigma 13 Israel Journal of Mathematics 13 Mathematische Zeitschrift 12 Journal für die Reine und Angewandte Mathematik 11 Manuscripta Mathematica 10 Journal of the London Mathematical Society. Second Series 10 Selecta Mathematica. New Series 10 Documenta Mathematica 10 Journal of the European Mathematical Society (JEMS) 9 Advances in Mathematics 9 Journal of the American Mathematical Society 9 Annals of Mathematics. Second Series 8 Proceedings of the American Mathematical Society 7 Journal of the Ramanujan Mathematical Society 7 Annales Mathématiques du Québec 7 Research in Number Theory 6 Pacific Journal of Mathematics 6 The Ramanujan Journal 6 Forum of Mathematics, Pi 5 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 5 Research in the Mathematical Sciences 5 Journal de l’École Polytechnique – Mathématiques 4 Acta Arithmetica 4 Publications Mathématiques 4 Journal of Pure and Applied Algebra 4 Memoirs of the American Mathematical Society 4 Forum Mathematicum 4 Acta Mathematica Sinica. English Series 3 Bulletin de la Société Mathématique de France 3 Nagoya Mathematical Journal 3 Proceedings of the London Mathematical Society. Third Series 3 Geometric and Functional Analysis. GAFA 3 Finite Fields and their Applications 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Oberwolfach Reports 3 Groups, Geometry, and Dynamics 2 Archive for Rational Mechanics and Analysis 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 American Journal of Mathematics 2 Bulletin of the London Mathematical Society 2 Canadian Mathematical Bulletin 2 Journal of the Indian Institute of Science 2 Rendiconti del Seminario Matematico della Università di Padova 2 Publicacions Matemàtiques 2 Bulletin of the American Mathematical Society. New Series 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Kyoto Journal of Mathematics 2 Tunisian Journal of Mathematics 2 Peking Mathematical Journal 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Communications in Mathematical Physics 1 Indian Journal of Pure & Applied Mathematics 1 Mathematics of Computation 1 Canadian Journal of Mathematics 1 Glasgow Mathematical Journal 1 Michigan Mathematical Journal 1 Monatshefte für Mathematik 1 Tôhoku Mathematical Journal. Second Series 1 Tokyo Journal of Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Experimental Mathematics 1 Journal of Algebraic Geometry 1 Applied Categorical Structures 1 Rad Hrvatske Akademije Znanosti i Umjetnosti. Matematičke Znanosti 1 Journal of Mathematical Sciences (New York) 1 Turkish Journal of Mathematics 1 Bulletin des Sciences Mathématiques 1 Vietnam Journal of Mathematics 1 Geometry & Topology 1 Journal of High Energy Physics 1 Journal of Nonlinear Mathematical Physics 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 1 Frontiers of Mathematics in China 1 Acta Mathematica Sinica. Chinese Series 1 Japanese Journal of Mathematics. 3rd Series 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Moscow Journal of Combinatorics and Number Theory 1 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 1 Proceedings of the American Mathematical Society. Series B 1 Annales Henri Lebesgue 1 European Mathematical Society Magazine all top 5 Cited in 27 Fields 491 Number theory (11-XX) 155 Algebraic geometry (14-XX) 154 Topological groups, Lie groups (22-XX) 60 Group theory and generalizations (20-XX) 30 Commutative algebra (13-XX) 11 Associative rings and algebras (16-XX) 11 \(K\)-theory (19-XX) 11 Manifolds and cell complexes (57-XX) 8 Category theory; homological algebra (18-XX) 7 Algebraic topology (55-XX) 6 Functional analysis (46-XX) 5 Nonassociative rings and algebras (17-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Several complex variables and analytic spaces (32-XX) 3 General and overarching topics; collections (00-XX) 3 Field theory and polynomials (12-XX) 3 Partial differential equations (35-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Differential geometry (53-XX) 2 Fluid mechanics (76-XX) 1 Combinatorics (05-XX) 1 Special functions (33-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 General topology (54-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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