Edit Profile Hopkins, Michael Jerome Compute Distance To: Compute Author ID: hopkins.michael-j Published as: Hopkins, M. J.; Hopkins, Michael; Hopkins, Michael J. Homepage: http://people.math.harvard.edu/~mjh/ External Links: MGP · Wikidata Documents Indexed: 67 Publications since 1984, including 2 Books Biographic References: 1 Publication all top 5 Co-Authors 13 single-authored 12 Ravenel, Douglas C. 11 Hill, Michael A. 8 Freed, Daniel Stuart 6 Teleman, Constantin 4 Ando, Matthew 4 Mahowald, Mark Edward 3 Behrens, Mechthild 3 Devinatz, Ethan S. 3 Smith, Jeffrey Henderson 2 Blumberg, Andrew J. 2 Gepner, David 2 Goerss, Paul G. 2 Gross, Benedict Hyman 2 Kuhn, Nicholas J. 2 Miller, Haynes R. 2 Palmieri, John H. 2 Rezk, Charles 2 Singer, Isadore M. 2 Strickland, Neil Patrick 1 Atiyah, Michael Francis 1 Barwick, Clark 1 Bott, Raoul Harry 1 Dwyer, William G. 1 Hovey, Mark A. 1 Hunton, John Robert 1 Jaffe, Arthur Michael 1 Kan, Daniel Marinus 1 Lawson, Tyler Douglas 1 Lurie, Jacob 1 Mahowald, Matthew 1 Moerdijk, Ieke 1 Quick, Gereon 1 Sadofsky, Hal 1 Smith, Jeffrey H. 1 Stroock, Daniel W. 1 Wickelgren, Kirsten G. 1 Wilson, W. Stephen 1 Yau, Shing-Tung all top 5 Serials 6 Journal of Topology 5 Annals of Mathematics. Second Series 3 Topology 2 American Journal of Mathematics 2 Mathematische Zeitschrift 2 Journal of the American Mathematical Society 2 Bulletin of the American Mathematical Society. New Series 2 Homology, Homotopy and Applications 1 Israel Journal of Mathematics 1 Boletín de la Sociedad Matemática Mexicana. Segunda Serie 1 Inventiones Mathematicae 1 Journal of Differential Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of Pure and Applied Algebra 1 Transactions of the American Mathematical Society 1 Forum Mathematicum 1 Notices of the American Mathematical Society 1 Boletín de la Sociedad Matemática Mexicana. Third Series 1 Geometry & Topology 1 Journal of High Energy Physics 1 New Mathematical Monographs 1 Japanese Journal of Mathematics. 3rd Series all top 5 Fields 58 Algebraic topology (55-XX) 16 Manifolds and cell complexes (57-XX) 9 Algebraic geometry (14-XX) 9 \(K\)-theory (19-XX) 5 Quantum theory (81-XX) 4 Category theory; homological algebra (18-XX) 4 Global analysis, analysis on manifolds (58-XX) 3 Number theory (11-XX) 3 Topological groups, Lie groups (22-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Commutative algebra (13-XX) 2 Associative rings and algebras (16-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Several complex variables and analytic spaces (32-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 56 Publications have been cited 1,172 times in 752 Documents Cited by ▼ Year ▼ Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018Hopkins, M. J.; Singer, I. M. 97 2005 Nilpotence and stable homotopy theory. I. Zbl 0673.55008Devinatz, Ethan S.; Hopkins, Michael J.; Smith, Jeffrey H. 77 1988 Moduli spaces of commutative ring spectra. Zbl 1086.55006Goerss, P. G.; Hopkins, M. J. 75 2004 Nilpotence and stable homotopy theory. II. Zbl 0927.55015Hopkins, Michael J.; Smith, Jeffrey H. 70 1998 On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007Hill, M. A.; Hopkins, M. J.; Ravenel, D. C. 69 2016 Generalized group characters and complex oriented cohomology theories. Zbl 1007.55004Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. 55 2000 Loop groups and twisted \(K\)-theory I. Zbl 1241.19002Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 43 2011 Elliptic spectra, the Witten genus and the theorem of the cube. Zbl 1031.55005Ando, M.; Hopkins, M. J.; Strickland, N. P. 41 2001 Twisted equivariant \(K\)-theory with complex coefficients. Zbl 1188.19005Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 39 2008 Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups. Zbl 1047.55004Devinatz, Ethan S.; Hopkins, Michael J. 38 2004 Nilpotence and stable homotopy theory. II. Zbl 0924.55010Hopkins, Michael J.; Smith, Jeffrey H. 38 1998 Loop groups and twisted \(K\)-theory. II. Zbl 1273.22015Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 33 2013 Equivariant vector bundles on the Lubin-Tate moduli space. Zbl 0807.14037Hopkins, M. J.; Gross, B. H. 32 1994 Constructions of elements in Picard groups. Zbl 0799.55005Hopkins, Michael J.; Mahowald, Mark; Sadofsky, Hal 29 1994 Global methods in homotopy theory. Zbl 0657.55008Hopkins, Michael J. 29 1987 On Ramond-Ramond fields and \(K\)-theory. Zbl 0990.81624Freed, Daniel S.; Hopkins, Michael 28 2000 Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory. Zbl 1316.55005Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles 25 2014 Algebraic topology and modular forms. Zbl 1031.55007Hopkins, M. J. 23 2002 Topological quantum field theories from compact Lie groups. Zbl 1232.57022Freed, Daniel S.; Hopkins, Michael J.; Lurie, Jacob; Teleman, Constantin 21 2010 The homotopy theory of cyclic sets. Zbl 0594.55020Dwyer, W. G.; Hopkins, M. J.; Kan, D. M. 21 1985 Loop groups and twisted \(K\)-theory. III. Zbl 1239.19002Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 20 2011 An \(\infty\)-categorical approach to \(R\)-line bundles, \(R\)-module Thom spectra, and twisted \(R\)-homology. Zbl 1312.55011Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles 18 2014 Splitting varieties for triple Massey products. Zbl 1323.55014Hopkins, Michael J.; Wickelgren, Kirsten G. 17 2015 André-Quillen (co-)homology for simplicial algebras over simplicial operads. Zbl 0999.18009Goerss, Paul G.; Hopkins, Michael J. 17 2000 The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory. Zbl 0857.55003Hopkins, M. J.; Gross, B. H. 17 1994 On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 16 2014 The sigma orientation is an \(H_\infty\) map. Zbl 1071.55003Ando, Matthew; Hopkins, Michael J.; Strickland, Neil P. 16 2004 Topological modular forms, the Witten genus, and the theorem of the cube. Zbl 0848.55002Hopkins, Michael J. 15 1995 The action of the Morava stabilizer group on the Lubin-Tate moduli space of lifts. Zbl 0842.14034Devinatz, Ethan S.; Hopkins, Michael J. 15 1995 Spin cobordism determines real K-theory. Zbl 0770.55008Hopkins, Michael J.; Hovey, Mark A. 15 1992 From elliptic curves to homotopy theory. Zbl 1328.55013Hopkins, Michael J.; Mahowald, Mark 11 2014 Morava \(K\)-theories of classifying spaces and generalized characters for finite groups. Zbl 0757.55006Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. 11 1992 Chern-Weil forms and abstract homotopy theory. Zbl 1281.58001Freed, Daniel S.; Hopkins, Michael J. 10 2013 Consistent orientation of moduli spaces. Zbl 1257.19004Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 9 2010 On the structure of spaces representing a Landweber exact cohomology theory. Zbl 0862.55005Hopkins, M. J.; Hunton, J. R. 8 1995 \(K(1)\)-local \(E_\infty\)-ring spectra. Zbl 1328.55018Hopkins, Michael J. 7 2014 Equivariant multiplicative closure. Zbl 1342.55007Hill, M. A.; Hopkins, M. J. 7 2014 Morava Hopf algebras and spaces \(K(n)\) equivalent to finite Postnikov systems. Zbl 0902.55001Hopkins, Michael J.; Ravenel, Douglas C.; Wilson, W. Stephen 6 1998 Hodge filtered complex bordism. Zbl 1349.32009Hopkins, Michael J.; Quick, Gereon 5 2015 The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 5 2010 On the existence of a \(v_2^{32}\)-self map on \(M(1,4)\) at the prime 2. Zbl 1162.55010Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 5 2008 The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 4 2011 Vanishing lines in generalized Adams spectral sequences are generic. Zbl 0920.55020Hopkins, M. J.; Palmieri, J. H.; Smith, J. H. 4 1999 Suspension spectra are harmonic. Zbl 0838.55010Hopkins, Michael J.; Ravenel, Douglas C. 4 1992 Nilpotence and finite H-spaces. Zbl 0684.55007Hopkins, Michael J. 4 1989 The slice spectral sequence for the \(C_{4}\) analog of real \(K\)-theory. Zbl 1362.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 3 2017 Elliptic curves and stable homotopy. I. Zbl 1328.55008Hopkins, Michael J.; Miller, Haynes R. 3 2014 A variant of \(K\)-theory: \(K_\pm\). Zbl 1090.19004Atiyah, Michael; Hopkins, Michael 3 2004 Characters and elliptic cohomology. Zbl 0729.55003Hopkins, Michael J. 3 1989 Formulations of cocategory and the iterated suspension. Zbl 0559.55013Hopkins, M. J. 3 1984 The slice spectral sequence for certain \(RO(C_{p^n})\)-graded suspensions of \(H\underline{\mathbb{Z}}\). Zbl 1379.55013Hill, Michael A.; Hopkins, M. J.; Ravenel, D. C. 2 2017 The mathematical work of Douglas C. Ravenel. Zbl 1157.55301Hopkins, Michael J. 2 2008 Strictly commutative complex orientation theory. Zbl 1417.55012Hopkins, Michael J.; Lawson, Tyler 1 2018 Higher real \(K\)-theories and topological automorphic forms. Zbl 1254.55001Behrens, M.; Hopkins, M. J. 1 2011 The structure of 24 dimensional manifolds having normal bundles which lift to \(\text{BO}[8]\). Zbl 1012.57041Mahowald, Mark; Hopkins, Michael J. 1 2002 A nilpotence theorem for modules over the mod 2 Steenrod algebra. Zbl 0801.55011Hopkins, Michael J.; Palmieri, John H. 1 1993 Strictly commutative complex orientation theory. Zbl 1417.55012Hopkins, Michael J.; Lawson, Tyler 1 2018 The slice spectral sequence for the \(C_{4}\) analog of real \(K\)-theory. Zbl 1362.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 3 2017 The slice spectral sequence for certain \(RO(C_{p^n})\)-graded suspensions of \(H\underline{\mathbb{Z}}\). Zbl 1379.55013Hill, Michael A.; Hopkins, M. J.; Ravenel, D. C. 2 2017 On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007Hill, M. A.; Hopkins, M. J.; Ravenel, D. C. 69 2016 Splitting varieties for triple Massey products. Zbl 1323.55014Hopkins, Michael J.; Wickelgren, Kirsten G. 17 2015 Hodge filtered complex bordism. Zbl 1349.32009Hopkins, Michael J.; Quick, Gereon 5 2015 Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory. Zbl 1316.55005Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles 25 2014 An \(\infty\)-categorical approach to \(R\)-line bundles, \(R\)-module Thom spectra, and twisted \(R\)-homology. Zbl 1312.55011Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles 18 2014 On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 16 2014 From elliptic curves to homotopy theory. Zbl 1328.55013Hopkins, Michael J.; Mahowald, Mark 11 2014 \(K(1)\)-local \(E_\infty\)-ring spectra. Zbl 1328.55018Hopkins, Michael J. 7 2014 Equivariant multiplicative closure. Zbl 1342.55007Hill, M. A.; Hopkins, M. J. 7 2014 Elliptic curves and stable homotopy. I. Zbl 1328.55008Hopkins, Michael J.; Miller, Haynes R. 3 2014 Loop groups and twisted \(K\)-theory. II. Zbl 1273.22015Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 33 2013 Chern-Weil forms and abstract homotopy theory. Zbl 1281.58001Freed, Daniel S.; Hopkins, Michael J. 10 2013 Loop groups and twisted \(K\)-theory I. Zbl 1241.19002Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 43 2011 Loop groups and twisted \(K\)-theory. III. Zbl 1239.19002Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 20 2011 The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 4 2011 Higher real \(K\)-theories and topological automorphic forms. Zbl 1254.55001Behrens, M.; Hopkins, M. J. 1 2011 Topological quantum field theories from compact Lie groups. Zbl 1232.57022Freed, Daniel S.; Hopkins, Michael J.; Lurie, Jacob; Teleman, Constantin 21 2010 Consistent orientation of moduli spaces. Zbl 1257.19004Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 9 2010 The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 5 2010 Twisted equivariant \(K\)-theory with complex coefficients. Zbl 1188.19005Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 39 2008 On the existence of a \(v_2^{32}\)-self map on \(M(1,4)\) at the prime 2. Zbl 1162.55010Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 5 2008 The mathematical work of Douglas C. Ravenel. Zbl 1157.55301Hopkins, Michael J. 2 2008 Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018Hopkins, M. J.; Singer, I. M. 97 2005 Moduli spaces of commutative ring spectra. Zbl 1086.55006Goerss, P. G.; Hopkins, M. J. 75 2004 Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups. Zbl 1047.55004Devinatz, Ethan S.; Hopkins, Michael J. 38 2004 The sigma orientation is an \(H_\infty\) map. Zbl 1071.55003Ando, Matthew; Hopkins, Michael J.; Strickland, Neil P. 16 2004 A variant of \(K\)-theory: \(K_\pm\). Zbl 1090.19004Atiyah, Michael; Hopkins, Michael 3 2004 Algebraic topology and modular forms. Zbl 1031.55007Hopkins, M. J. 23 2002 The structure of 24 dimensional manifolds having normal bundles which lift to \(\text{BO}[8]\). Zbl 1012.57041Mahowald, Mark; Hopkins, Michael J. 1 2002 Elliptic spectra, the Witten genus and the theorem of the cube. Zbl 1031.55005Ando, M.; Hopkins, M. J.; Strickland, N. P. 41 2001 Generalized group characters and complex oriented cohomology theories. Zbl 1007.55004Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. 55 2000 On Ramond-Ramond fields and \(K\)-theory. Zbl 0990.81624Freed, Daniel S.; Hopkins, Michael 28 2000 André-Quillen (co-)homology for simplicial algebras over simplicial operads. Zbl 0999.18009Goerss, Paul G.; Hopkins, Michael J. 17 2000 Vanishing lines in generalized Adams spectral sequences are generic. Zbl 0920.55020Hopkins, M. J.; Palmieri, J. H.; Smith, J. H. 4 1999 Nilpotence and stable homotopy theory. II. Zbl 0927.55015Hopkins, Michael J.; Smith, Jeffrey H. 70 1998 Nilpotence and stable homotopy theory. II. Zbl 0924.55010Hopkins, Michael J.; Smith, Jeffrey H. 38 1998 Morava Hopf algebras and spaces \(K(n)\) equivalent to finite Postnikov systems. Zbl 0902.55001Hopkins, Michael J.; Ravenel, Douglas C.; Wilson, W. Stephen 6 1998 Topological modular forms, the Witten genus, and the theorem of the cube. Zbl 0848.55002Hopkins, Michael J. 15 1995 The action of the Morava stabilizer group on the Lubin-Tate moduli space of lifts. Zbl 0842.14034Devinatz, Ethan S.; Hopkins, Michael J. 15 1995 On the structure of spaces representing a Landweber exact cohomology theory. Zbl 0862.55005Hopkins, M. J.; Hunton, J. R. 8 1995 Equivariant vector bundles on the Lubin-Tate moduli space. Zbl 0807.14037Hopkins, M. J.; Gross, B. H. 32 1994 Constructions of elements in Picard groups. Zbl 0799.55005Hopkins, Michael J.; Mahowald, Mark; Sadofsky, Hal 29 1994 The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory. Zbl 0857.55003Hopkins, M. J.; Gross, B. H. 17 1994 A nilpotence theorem for modules over the mod 2 Steenrod algebra. Zbl 0801.55011Hopkins, Michael J.; Palmieri, John H. 1 1993 Spin cobordism determines real K-theory. Zbl 0770.55008Hopkins, Michael J.; Hovey, Mark A. 15 1992 Morava \(K\)-theories of classifying spaces and generalized characters for finite groups. Zbl 0757.55006Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. 11 1992 Suspension spectra are harmonic. Zbl 0838.55010Hopkins, Michael J.; Ravenel, Douglas C. 4 1992 Nilpotence and finite H-spaces. Zbl 0684.55007Hopkins, Michael J. 4 1989 Characters and elliptic cohomology. Zbl 0729.55003Hopkins, Michael J. 3 1989 Nilpotence and stable homotopy theory. I. Zbl 0673.55008Devinatz, Ethan S.; Hopkins, Michael J.; Smith, Jeffrey H. 77 1988 Global methods in homotopy theory. Zbl 0657.55008Hopkins, Michael J. 29 1987 The homotopy theory of cyclic sets. Zbl 0594.55020Dwyer, W. G.; Hopkins, M. J.; Kan, D. M. 21 1985 Formulations of cocategory and the iterated suspension. Zbl 0559.55013Hopkins, M. J. 3 1984 all cited Publications top 5 cited Publications all top 5 Cited by 599 Authors 22 Sati, Hisham 18 Hill, Michael A. 14 Greenlees, John P. C. 14 Hopkins, Michael Jerome 13 Barthel, Tobias 13 Freed, Daniel Stuart 13 Mathew, Akhil 12 Lawson, Tyler Douglas 11 Blumberg, Andrew J. 11 Bunke, Ulrich 9 Kitchloo, Nitu 9 Kříž, Igor 9 Mináč, Ján 9 Monnier, Samuel 9 Naumann, Niko 9 Noel, Justin 9 Schreiber, Urs 9 Szabo, Richard J. 8 Ando, Matthew 8 Hovey, Mark A. 8 Laures, Gerd 8 Moore, Gregory Winthrop 8 Richter, Birgit 8 Stapleton, Nathaniel 7 Blanc, David Abraham 7 Davis, Daniel G. 7 Ganter, Nora 7 Gomi, Kiyonori 7 Harper, John E. 7 Mickelsson, Jouko 7 Nguyêñ Duy Tân 7 Szymik, Markus 6 Baker, Andrew J. 6 Bakuradze, Malkhaz 6 Behrens, Mark Joseph 6 Benson, David John 6 Heard, Drew 6 Hu, Po 6 Iyengar, Srikanth B. 6 Palmieri, John H. 6 Rezk, Charles 6 Teleman, Constantin 6 Wilson, W. Stephen 5 Antieau, Benjamin 5 Beaudry, Agnès 5 Cantarero, José 5 Gepner, David 5 Grady, Daniel 5 Henn, Hans-Werner 5 Ho, Man-Ho 5 Mathai, Varghese 5 Nikolaus, Thomas 5 Ravenel, Douglas C. 5 Sadofsky, Hal 5 Schuster, Björn 5 Shimomura, Katsumi 5 Stevenson, Greg 5 Strickland, Neil Patrick 5 Takahashi, Ryo 5 Torii, Takeshi 5 Valentino, Alessandro 5 Wang, Bailing 4 Angeltveit, Vigleik 4 Banerjee, Abhishek 4 Carey, Alan L. 4 Cohen, Ralph L. 4 Devinatz, Ethan S. 4 Fausk, Halvard 4 Fiorenza, Domenico 4 Hausmann, Markus 4 Heller, Jeremiah 4 Kohlhaase, Jan 4 Kuhn, Nicholas J. 4 Mahowald, Mark Edward 4 Meier, Lennart 4 Østvær, Paul Arne 4 Rognes, John 4 Sagave, Steffen 4 Schlichtkrull, Christian 4 Uribe, Bernardo 4 Yagita, Nobuaki 4 Zhu, Yifei 3 Ausoni, Christian 3 Balchin, Scott 3 Balmer, Paul 3 Bárcenas, Noé 3 Clausen, Dustin 3 Dotto, Emanuele 3 Douglas, Christopher L. 3 Dwyer, William G. 3 Elmrabty, Adnane 3 Gerhardt, Teena 3 Guillou, Bertrand J. 3 Harju, Antti J. 3 Hekmati, Pedram 3 Hunton, John Robert 3 Johnson, Mark W. 3 Johnson, Niles 3 Jones, John D. S. 3 Kashiwabara, Takuji ...and 499 more Authors all top 5 Cited in 117 Serials 72 Advances in Mathematics 56 Algebraic & Geometric Topology 53 Journal of Pure and Applied Algebra 41 Communications in Mathematical Physics 39 Transactions of the American Mathematical Society 29 Journal of Geometry and Physics 28 Geometry & Topology 26 Mathematische Zeitschrift 25 Proceedings of the American Mathematical Society 24 Journal of Homotopy and Related Structures 19 Inventiones Mathematicae 13 Topology and its Applications 12 Reviews in Mathematical Physics 11 Compositio Mathematica 11 Annals of Mathematics. Second Series 11 Journal of \(K\)-Theory 10 Journal of Algebra 9 Nuclear Physics. B 8 Duke Mathematical Journal 8 Manuscripta Mathematica 8 Journal of Topology 7 Journal of the American Mathematical Society 7 Bulletin of the American Mathematical Society. New Series 6 Israel Journal of Mathematics 6 Letters in Mathematical Physics 6 Mathematische Annalen 6 Documenta Mathematica 6 Journal of High Energy Physics 5 Journal of Mathematical Physics 5 Annales Mathématiques Blaise Pascal 5 Selecta Mathematica. New Series 5 Journal of Noncommutative Geometry 4 Journal of Number Theory 4 Publications of the Research Institute for Mathematical Sciences, Kyoto University 4 \(K\)-Theory 4 Differential Geometry and its Applications 4 Journal of the European Mathematical Society (JEMS) 4 Annales Henri Poincaré 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Tunisian Journal of Mathematics 3 Annales de l’Institut Fourier 3 Annals of Global Analysis and Geometry 3 Theory and Applications of Categories 3 Boletín de la Sociedad Matemática Mexicana. Third Series 3 Tbilisi Mathematical Journal 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Acta Mathematica 2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 2 Glasgow Mathematical Journal 2 Illinois Journal of Mathematics 2 Journal of Functional Analysis 2 Journal of the London Mathematical Society. Second Series 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Kodai Mathematical Journal 2 Nagoya Mathematical Journal 2 Journal of Algebraic Combinatorics 2 Applied Categorical Structures 2 Bulletin des Sciences Mathématiques 2 Transformation Groups 2 Algebras and Representation Theory 2 Communications in Contemporary Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Fixed Point Theory and Applications 2 Complex Analysis and Operator Theory 2 Forum of Mathematics, Sigma 2 Annals of \(K\)-Theory 1 International Journal of Modern Physics A 1 Communications in Algebra 1 Mathematical Notes 1 Nonlinearity 1 Physics Reports 1 Arkiv för Matematik 1 Archiv der Mathematik 1 Archivum Mathematicum 1 Canadian Journal of Mathematics 1 Journal of Combinatorial Theory. Series A 1 Memoirs of the American Mathematical Society 1 Osaka Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 European Journal of Combinatorics 1 Forum Mathematicum 1 Science in China. Series A 1 International Journal of Mathematics 1 Annals of Physics 1 Elemente der Mathematik 1 Proceedings of the National Academy of Sciences of the United States of America 1 Vestnik St. Petersburg University. Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 Russian Journal of Mathematical Physics 1 St. Petersburg Mathematical Journal 1 The New York Journal of Mathematics 1 Journal of Lie Theory 1 Annals of Combinatorics 1 The Quarterly Journal of Mathematics 1 Journal of the Australian Mathematical Society 1 Journal of Systems Science and Complexity 1 Cahiers de Topologie et Géométrie Différentielle Catégoriques ...and 17 more Serials all top 5 Cited in 34 Fields 468 Algebraic topology (55-XX) 158 Category theory; homological algebra (18-XX) 153 \(K\)-theory (19-XX) 126 Algebraic geometry (14-XX) 105 Quantum theory (81-XX) 87 Manifolds and cell complexes (57-XX) 78 Differential geometry (53-XX) 78 Global analysis, analysis on manifolds (58-XX) 52 Associative rings and algebras (16-XX) 51 Group theory and generalizations (20-XX) 49 Number theory (11-XX) 40 Commutative algebra (13-XX) 38 Topological groups, Lie groups (22-XX) 24 Functional analysis (46-XX) 21 Nonassociative rings and algebras (17-XX) 16 Field theory and polynomials (12-XX) 16 Relativity and gravitational theory (83-XX) 7 Several complex variables and analytic spaces (32-XX) 5 History and biography (01-XX) 4 Combinatorics (05-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 3 Dynamical systems and ergodic theory (37-XX) 2 General and overarching topics; collections (00-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 General topology (54-XX) 2 Mechanics of particles and systems (70-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-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.