Edit Profile (opens in new tab) Hopkins, Michael Jerome Compute Distance To: Compute Author ID: hopkins.michael-j Published as: Hopkins, Michael J.; Hopkins, M. J.; Hopkins, Michael Homepage: http://people.math.harvard.edu/~mjh/ External Links: MGP · Wikidata Documents Indexed: 70 Publications since 1984, including 1 Book 1 Contribution as Editor · 1 Further Contribution Biographic References: 1 Publication Co-Authors: 35 Co-Authors with 58 Joint Publications 980 Co-Co-Authors all top 5 Co-Authors 10 single-authored 12 Hill, Michael A. 12 Ravenel, Douglas C. 11 Freed, Daniel Stuart 6 Teleman, Constantin 5 Ando, Matthew 4 Mahowald, Mark Edward 3 Devinatz, Ethan S. 3 Goerss, Paul G. 3 Smith, Jeffrey Henderson 2 Blumberg, Andrew J. 2 Gepner, David 2 Gross, Benedict Hyman 2 Henriques, André G. 2 Kuhn, Nicholas J. 2 Miller, Haynes R. 2 Palmieri, John H. 2 Rezk, Charles 2 Singer, Isadore Manuel 2 Strickland, Neil Patrick 1 Asok, Aravind 1 Atiyah, Michael Francis 1 Barwick, Clark 1 Bott, Raoul Harry 1 Dwyer, William G. 1 Fasel, Jean 1 Hovey, Mark A. 1 Hunton, John Robert 1 Jaffe, Arthur Michael 1 Kan, Daniel Marinus 1 Lawson, Tyler Douglas 1 Lurie, Jacob 1 Moerdijk, Ieke 1 Peterson, Eric D. 1 Quick, Gereon 1 Sadofsky, Hal 1 Smith, Jeffrey H. 1 Stapleton, Nathaniel 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 Geometry & Topology 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 Advances in Theoretical and Mathematical Physics 1 Journal of High Energy Physics 1 The Quarterly Journal of Mathematics 1 Cambridge Studies in Advanced Mathematics 1 New Mathematical Monographs 1 Japanese Journal of Mathematics. 3rd Series 1 Forum of Mathematics, Sigma all top 5 Fields 63 Algebraic topology (55-XX) 17 Manifolds and cell complexes (57-XX) 13 Algebraic geometry (14-XX) 9 \(K\)-theory (19-XX) 7 Quantum theory (81-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Category theory; homological algebra (18-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 3 Topological groups, Lie groups (22-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Differential geometry (53-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 61 Publications have been cited 1,285 times in 824 Documents Cited by ▼ Year ▼ Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018Hopkins, M. J.; Singer, I. M. 109 2005 Moduli spaces of commutative ring spectra. Zbl 1086.55006Goerss, P. G.; Hopkins, M. J. 84 2004 On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007Hill, M. A.; Hopkins, M. J.; Ravenel, D. C. 83 2016 Nilpotence and stable homotopy theory. I. Zbl 0673.55008Devinatz, Ethan S.; Hopkins, Michael J.; Smith, Jeffrey H. 82 1988 Nilpotence and stable homotopy theory. II. Zbl 0927.55015Hopkins, Michael J.; Smith, Jeffrey H. 60 1998 Generalized group characters and complex oriented cohomology theories. Zbl 1007.55004Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. 60 2000 Loop groups and twisted \(K\)-theory I. Zbl 1241.19002Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 46 2011 Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups. Zbl 1047.55004Devinatz, Ethan S.; Hopkins, Michael J. 44 2004 Twisted equivariant \(K\)-theory with complex coefficients. Zbl 1188.19005Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 43 2008 Elliptic spectra, the Witten genus and the theorem of the cube. Zbl 1031.55005Ando, M.; Hopkins, M. J.; Strickland, N. P. 42 2001 Nilpotence and stable homotopy theory. II. Zbl 0924.55010Hopkins, Michael J.; Smith, Jeffrey H. 42 1998 Equivariant vector bundles on the Lubin-Tate moduli space. Zbl 0807.14037Hopkins, M. J.; Gross, B. H. 36 1994 Constructions of elements in Picard groups. Zbl 0799.55005Hopkins, Michael J.; Mahowald, Mark; Sadofsky, Hal 34 1994 On Ramond-Ramond fields and \(K\)-theory. Zbl 0990.81624Freed, Daniel S.; Hopkins, Michael 32 2000 Loop groups and twisted \(K\)-theory. II. Zbl 1273.22015Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 31 2013 Algebraic topology and modular forms. Zbl 1031.55007Hopkins, M. J. 30 2002 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 26 2014 Topological quantum field theories from compact Lie groups. Zbl 1232.57022Freed, Daniel S.; Hopkins, Michael J.; Lurie, Jacob; Teleman, Constantin 22 2010 Loop groups and twisted \(K\)-theory. III. Zbl 1239.19002Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 22 2011 Global methods in homotopy theory. Zbl 0657.55008Hopkins, Michael J. 22 1987 The homotopy theory of cyclic sets. Zbl 0594.55020Dwyer, W. G.; Hopkins, M. J.; Kan, D. M. 21 1985 The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory. Zbl 0857.55003Hopkins, M. J.; Gross, B. H. 19 1994 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 19 2014 Topological modular forms, the Witten genus, and the theorem of the cube. Zbl 0848.55002Hopkins, Michael J. 18 1995 André-Quillen (co-)homology for simplicial algebras over simplicial operads. Zbl 0999.18009Goerss, Paul G.; Hopkins, Michael J. 17 2000 Splitting varieties for triple Massey products. Zbl 1323.55014Hopkins, Michael J.; Wickelgren, Kirsten G. 17 2015 On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 17 2014 The sigma orientation is an \(H_\infty\) map. Zbl 1071.55003Ando, Matthew; Hopkins, Michael J.; Strickland, Neil P. 16 2004 Spin cobordism determines real K-theory. Zbl 0770.55008Hopkins, Michael J.; Hovey, Mark A. 15 1992 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 From elliptic curves to homotopy theory. Zbl 1328.55013Hopkins, Michael J.; Mahowald, Mark 13 2014 Consistent orientation of moduli spaces. Zbl 1257.19004Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 12 2010 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 Reflection positivity and invertible topological phases. Zbl 07379310Freed, Daniel S.; Hopkins, Michael J. 9 2021 Nilpotence and finite H-spaces. Zbl 0684.55007Hopkins, Michael J. 9 1989 \(K(1)\)-local \(E_\infty\)-ring spectra. Zbl 1328.55018Hopkins, Michael J. 9 2014 On the structure of spaces representing a Landweber exact cohomology theory. Zbl 0862.55005Hopkins, M. J.; Hunton, J. R. 8 1995 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. 8 2008 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 The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 6 2010 Suspension spectra are harmonic. Zbl 0838.55010Hopkins, Michael J.; Ravenel, Douglas C. 5 1992 The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 5 2011 Formulations of cocategory and the iterated suspension. Zbl 0559.55013Hopkins, M. J. 5 1984 Hodge filtered complex bordism. Zbl 1349.32009Hopkins, Michael J.; Quick, Gereon 5 2015 Vanishing lines in generalized Adams spectral sequences are generic. Zbl 0920.55020Hopkins, M. J.; Palmieri, J. H.; Smith, J. H. 4 1999 The slice spectral sequence for the \(C_{4}\) analog of real \(K\)-theory. Zbl 1362.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 4 2017 The structure of 24 dimensional manifolds having normal bundles which lift to \(\text{BO}[8]\). Zbl 1012.57041Mahowald, Mark; Hopkins, Michael J. 3 2002 Characters and elliptic cohomology. Zbl 0729.55003Hopkins, Michael J. 3 1989 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 2 2004 Obstructions to algebraizing topological vector bundles. Zbl 07040512Asok, A.; Fasel, J.; Hopkins, M. J. 2 2019 Formal geometry and bordism operations. With appendices by Nathaniel Stapleton and Michael Hopkins. Zbl 06960206Peterson, Eric 2 2019 Detecting exotic spheres in low dimensions using coker \(J\). Zbl 1460.55017Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 2 2020 The mathematical work of Douglas C. Ravenel. Zbl 1157.55301Hopkins, Michael J. 2 2008 Higher real \(K\)-theories and topological automorphic forms. Zbl 1254.55001Behrens, M.; Hopkins, M. J. 2 2011 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 Consistency of M-theory on non-orientable manifolds. Zbl 1479.81060Freed, Daniel S.; Hopkins, Michael J. 1 2021 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. 1 2017 Reflection positivity and invertible topological phases. Zbl 07379310Freed, Daniel S.; Hopkins, Michael J. 9 2021 Consistency of M-theory on non-orientable manifolds. Zbl 1479.81060Freed, Daniel S.; Hopkins, Michael J. 1 2021 Detecting exotic spheres in low dimensions using coker \(J\). Zbl 1460.55017Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 2 2020 Obstructions to algebraizing topological vector bundles. Zbl 07040512Asok, A.; Fasel, J.; Hopkins, M. J. 2 2019 Formal geometry and bordism operations. With appendices by Nathaniel Stapleton and Michael Hopkins. Zbl 06960206Peterson, Eric 2 2019 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. 4 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. 1 2017 On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007Hill, M. A.; Hopkins, M. J.; Ravenel, D. C. 83 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 26 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 19 2014 On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 17 2014 From elliptic curves to homotopy theory. Zbl 1328.55013Hopkins, Michael J.; Mahowald, Mark 13 2014 \(K(1)\)-local \(E_\infty\)-ring spectra. Zbl 1328.55018Hopkins, Michael J. 9 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 31 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 46 2011 Loop groups and twisted \(K\)-theory. III. Zbl 1239.19002Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 22 2011 The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 5 2011 Higher real \(K\)-theories and topological automorphic forms. Zbl 1254.55001Behrens, M.; Hopkins, M. J. 2 2011 Topological quantum field theories from compact Lie groups. Zbl 1232.57022Freed, Daniel S.; Hopkins, Michael J.; Lurie, Jacob; Teleman, Constantin 22 2010 Consistent orientation of moduli spaces. Zbl 1257.19004Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 12 2010 The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 6 2010 Twisted equivariant \(K\)-theory with complex coefficients. Zbl 1188.19005Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 43 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. 8 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. 109 2005 Moduli spaces of commutative ring spectra. Zbl 1086.55006Goerss, P. G.; Hopkins, M. J. 84 2004 Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups. Zbl 1047.55004Devinatz, Ethan S.; Hopkins, Michael J. 44 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 2 2004 Algebraic topology and modular forms. Zbl 1031.55007Hopkins, M. J. 30 2002 The structure of 24 dimensional manifolds having normal bundles which lift to \(\text{BO}[8]\). Zbl 1012.57041Mahowald, Mark; Hopkins, Michael J. 3 2002 Elliptic spectra, the Witten genus and the theorem of the cube. Zbl 1031.55005Ando, M.; Hopkins, M. J.; Strickland, N. P. 42 2001 Generalized group characters and complex oriented cohomology theories. Zbl 1007.55004Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. 60 2000 On Ramond-Ramond fields and \(K\)-theory. Zbl 0990.81624Freed, Daniel S.; Hopkins, Michael 32 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. 60 1998 Nilpotence and stable homotopy theory. II. Zbl 0924.55010Hopkins, Michael J.; Smith, Jeffrey H. 42 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. 18 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. 36 1994 Constructions of elements in Picard groups. Zbl 0799.55005Hopkins, Michael J.; Mahowald, Mark; Sadofsky, Hal 34 1994 The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory. Zbl 0857.55003Hopkins, M. J.; Gross, B. H. 19 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. 5 1992 Nilpotence and finite H-spaces. Zbl 0684.55007Hopkins, Michael J. 9 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. 82 1988 Global methods in homotopy theory. Zbl 0657.55008Hopkins, Michael J. 22 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. 5 1984 all cited Publications top 5 cited Publications all top 5 Cited by 663 Authors 25 Sati, Hisham 19 Hill, Michael A. 17 Barthel, Tobias 15 Freed, Daniel Stuart 14 Greenlees, John P. C. 14 Mathew, Akhil 13 Hopkins, Michael Jerome 13 Lawson, Tyler Douglas 12 Bunke, Ulrich 11 Blumberg, Andrew J. 10 Naumann, Niko 10 Schreiber, Urs 10 Stapleton, Nathaniel 9 Kitchloo, Nitu 9 Kříž, Igor 9 Mináč, Ján 9 Monnier, Samuel 9 Noel, Justin 9 Szabo, Richard J. 8 Ando, Matthew 8 Gomi, Kiyonori 8 Heard, Drew 8 Laures, Gerd 8 Moore, Gregory Winthrop 8 Richter, Birgit 8 Szymik, Markus 7 Beaudry, Agnès 7 Blanc, David Abraham 7 Davis, Daniel G. 7 Ganter, Nora 7 Gepner, David 7 Grady, Daniel 7 Hovey, Mark A. 7 Hu, Po 7 Mickelsson, Jouko 7 Nguyêñ Duy Tân 7 Teleman, Constantin 6 Baker, Andrew J. 6 Bakuradze, Malkhaz 6 Behrens, Mark Joseph 6 Benson, David John 6 Harper, John E. 6 Mathai, Varghese 6 Meier, Lennart 6 Nikolaus, Thomas 6 Palmieri, John H. 6 Ravenel, Douglas C. 6 Rezk, Charles 6 Wilson, W. Stephen 5 Antieau, Benjamin 5 Cantarero, José 5 Culver, Dominic Leon 5 Golasiński, Marek 5 Han, Fei 5 Henn, Hans-Werner 5 Ho, Man-Ho 5 Iyengar, Srikanth B. 5 Sadofsky, Hal 5 Schlank, Tomer M. 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 Balmer, Paul 4 Banerjee, Abhishek 4 Carey, Alan L. 4 Clausen, Dustin 4 Cohen, Ralph L. 4 Devinatz, Ethan S. 4 Dotto, Emanuele 4 Fausk, Halvard 4 Fiorenza, Domenico 4 Hausmann, Markus 4 Heller, Jeremiah 4 Huang, Ruizhi 4 Kohlhaase, Jan 4 Kuhn, Nicholas J. 4 Mahowald, Mark Edward 4 Østvær, Paul Arne 4 Park, Byungdo 4 Quigley, James D. 4 Redden, Corbett 4 Rognes, John 4 Sagave, Steffen 4 Schlichtkrull, Christian 4 Somberg, Petr 4 Stojanoska, Vesna 4 Uribe, Bernardo 4 Yagita, Nobuaki 4 Zhu, Yifei 3 Ausoni, Christian 3 Balchin, Scott 3 Bárcenas, Noé 3 Demchenko, Oleg Vyacheslavovich 3 Douglas, Christopher L. ...and 563 more Authors all top 5 Cited in 125 Serials 83 Advances in Mathematics 56 Algebraic & Geometric Topology 53 Journal of Pure and Applied Algebra 45 Communications in Mathematical Physics 44 Transactions of the American Mathematical Society 30 Journal of Geometry and Physics 29 Mathematische Zeitschrift 29 Journal of Homotopy and Related Structures 28 Geometry & Topology 26 Proceedings of the American Mathematical Society 21 Inventiones Mathematicae 15 Topology and its Applications 13 Reviews in Mathematical Physics 13 Compositio Mathematica 12 Annals of Mathematics. Second Series 11 Journal of \(K\)-Theory 10 Nuclear Physics. B 9 Letters in Mathematical Physics 9 Manuscripta Mathematica 8 Duke Mathematical Journal 8 Journal of Algebra 8 Bulletin of the American Mathematical Society. New Series 8 Journal of Topology 7 Israel Journal of Mathematics 7 Mathematische Annalen 7 Journal of the American Mathematical Society 7 Journal of High Energy Physics 6 Journal of Mathematical Physics 6 Selecta Mathematica. New Series 5 Annales Mathématiques Blaise Pascal 5 Documenta Mathematica 5 Annales Henri Poincaré 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 Boletín de la Sociedad Matemática Mexicana. Third Series 4 Journal of the European Mathematical Society (JEMS) 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 4 Tunisian Journal of Mathematics 3 Annales de l’Institut Fourier 3 Glasgow Mathematical Journal 3 Annals of Global Analysis and Geometry 3 International Journal of Mathematics 3 Journal of Algebraic Combinatorics 3 Applied Categorical Structures 3 Journal de Théorie des Nombres de Bordeaux 3 Theory and Applications of Categories 3 Communications in Contemporary Mathematics 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 Archiv der Mathematik 2 Canadian Journal of Mathematics 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 Kodai Mathematical Journal 2 Memoirs of the American Mathematical Society 2 Nagoya Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Bulletin des Sciences Mathématiques 2 Transformation Groups 2 Algebras and Representation Theory 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Fixed Point Theory and Applications 2 Complex Analysis and Operator Theory 2 Proceedings of the International Geometry Center 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 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Archivum Mathematicum 1 Indiana University Mathematics Journal 1 Publications Mathématiques 1 Journal of Combinatorial Theory. Series A 1 Journal of Differential Geometry 1 Journal für die Reine und Angewandte Mathematik 1 Osaka Journal of Mathematics 1 Results in Mathematics 1 Tohoku Mathematical Journal. Second Series 1 European Journal of Combinatorics 1 Science in China. Series A 1 Annals of Physics 1 Elemente der Mathematik 1 Glasnik Matematički. Serija III 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Vestnik St. Petersburg University. Mathematics 1 Russian Journal of Mathematical Physics 1 St. Petersburg Mathematical Journal ...and 25 more Serials all top 5 Cited in 36 Fields 511 Algebraic topology (55-XX) 172 Category theory; homological algebra (18-XX) 170 \(K\)-theory (19-XX) 142 Algebraic geometry (14-XX) 124 Quantum theory (81-XX) 106 Manifolds and cell complexes (57-XX) 94 Global analysis, analysis on manifolds (58-XX) 84 Differential geometry (53-XX) 57 Number theory (11-XX) 57 Group theory and generalizations (20-XX) 53 Associative rings and algebras (16-XX) 37 Commutative algebra (13-XX) 36 Topological groups, Lie groups (22-XX) 26 Functional analysis (46-XX) 23 Nonassociative rings and algebras (17-XX) 20 Relativity and gravitational theory (83-XX) 16 Field theory and polynomials (12-XX) 6 Combinatorics (05-XX) 6 Several complex variables and analytic spaces (32-XX) 5 History and biography (01-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 4 Mechanics of particles and systems (70-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 General topology (54-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-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. Updates and corrections should be made in Wikidata.