Edit Profile (opens in new tab) Hopkins, Michael Jerome Co-Author Distance Author ID: hopkins.michael-j Published as: Hopkins, Michael J.; Hopkins, M. J.; Hopkins, Michael more...less Homepage: http://people.math.harvard.edu/~mjh/ External Links: MGP · Wikidata · GND Documents Indexed: 84 Publications since 1984, including 1 Book and 11 Additional arXiv Preprints 1 Contribution as Editor · 1 Further Contribution Biographic References: 3 Publications Co-Authors: 44 Co-Authors with 74 Joint Publications 1,199 Co-Co-Authors all top 5 Co-Authors 10 single-authored 14 Hill, Michael A. 13 Freed, Daniel Stuart 12 Ravenel, Douglas C. 8 Teleman, Constantin 7 Ando, Matthew 5 Asok, Aravind 5 Smith, Jeffrey Henderson 4 Goerss, Paul G. 4 Mahowald, Mark Edward 3 Bachmann, Tom 3 Behrens, Mark Joseph 3 Blumberg, Andrew J. 3 Devinatz, Ethan S. 3 Fasel, Jean 3 Palmieri, John H. 3 Rezk, Charles 3 Strickland, Neil Patrick 2 Gross, Benedict Hyman 2 Kuhn, Nicholas J. 2 Miller, Haynes R. 2 Singer, Isadore Manuel 1 Atiyah, Michael Francis 1 Barwick, Clark 1 Beaudry, Agnès 1 Bott, Raoul Harry 1 Dwyer, William G. 1 Gepner, David J. 1 Hovey, Mark A. 1 Hunton, John Robert 1 Jaffe, Arthur Michael 1 Kan, Daniel Marinus 1 Lawson, Tyler Douglas 1 Lin, Jianfeng 1 Lurie, Jacob 1 Mahowald, Mark W. 1 Moerdijk, Ieke 1 Peterson, Eric D. 1 Quick, Gereon 1 Sadofsky, Hal 1 Shi, Xiaolin Danny 1 Stapleton, Nathaniel 1 Stojanoska, Vesna 1 Stroock, Daniel W. 1 Wickelgren, Kirsten G. 1 Wilson, W. Stephen 1 Xu, Zhouli 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 Inventiones Mathematicae 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 Compositio Mathematica 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 1 Communications of the American Mathematical Society all top 5 Fields 75 Algebraic topology (55-XX) 18 Algebraic geometry (14-XX) 18 Manifolds and cell complexes (57-XX) 13 \(K\)-theory (19-XX) 8 Quantum theory (81-XX) 5 Category theory; homological algebra (18-XX) 5 Topological groups, Lie groups (22-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Commutative algebra (13-XX) 3 Number theory (11-XX) 3 Associative rings and algebras (16-XX) 3 Group theory and generalizations (20-XX) 3 Several complex variables and analytic spaces (32-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Differential geometry (53-XX) 1 General and overarching topics; collections (00-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 67 Publications have been cited 1,738 times in 1,084 Documents Cited by ▼ Year ▼ On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007 Hill, M. A.; Hopkins, M. J.; Ravenel, D. C. 146 2016 Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018 Hopkins, M. J.; Singer, I. M. 134 2005 Moduli spaces of commutative ring spectra. Zbl 1086.55006 Goerss, P. G.; Hopkins, M. J. 111 2004 Nilpotence and stable homotopy theory. I. Zbl 0673.55008 Devinatz, Ethan S.; Hopkins, Michael J.; Smith, Jeffrey H. 95 1988 Generalized group characters and complex oriented cohomology theories. Zbl 1007.55004 Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. 75 2000 Nilpotence and stable homotopy theory. II. Zbl 0927.55015 Hopkins, Michael J.; Smith, Jeffrey H. 71 1998 Loop groups and twisted \(K\)-theory I. Zbl 1241.19002 Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 62 2011 Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups. Zbl 1047.55004 Devinatz, Ethan S.; Hopkins, Michael J. 61 2004 Nilpotence and stable homotopy theory. II. Zbl 0924.55010 Hopkins, Michael J.; Smith, Jeffrey H. 59 1998 Reflection positivity and invertible topological phases. Zbl 1508.81953 Freed, Daniel S.; Hopkins, Michael J. 59 2021 Elliptic spectra, the Witten genus and the theorem of the cube. Zbl 1031.55005 Ando, M.; Hopkins, M. J.; Strickland, N. P. 52 2001 Twisted equivariant \(K\)-theory with complex coefficients. Zbl 1188.19005 Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 49 2008 Equivariant vector bundles on the Lubin-Tate moduli space. Zbl 0807.14037 Hopkins, M. J.; Gross, B. H. 44 1994 Constructions of elements in Picard groups. Zbl 0799.55005 Hopkins, Michael J.; Mahowald, Mark; Sadofsky, Hal 40 1994 On Ramond-Ramond fields and \(K\)-theory. Zbl 0990.81624 Freed, Daniel S.; Hopkins, Michael 39 2000 Algebraic topology and modular forms. Zbl 1031.55007 Hopkins, M. J. 39 2002 Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory. Zbl 1316.55005 Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles 37 2014 Loop groups and twisted \(K\)-theory. II. Zbl 1273.22015 Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 36 2013 Global methods in homotopy theory. Zbl 0657.55008 Hopkins, Michael J. 32 1987 Loop groups and twisted \(K\)-theory. III. Zbl 1239.19002 Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 29 2011 An \(\infty\)-categorical approach to \(R\)-line bundles, \(R\)-module Thom spectra, and twisted \(R\)-homology. Zbl 1312.55011 Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles 29 2014 Splitting varieties for triple Massey products. Zbl 1323.55014 Hopkins, Michael J.; Wickelgren, Kirsten G. 28 2015 Topological quantum field theories from compact Lie groups. Zbl 1232.57022 Freed, Daniel S.; Hopkins, Michael J.; Lurie, Jacob; Teleman, Constantin 28 2010 The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory. Zbl 0857.55003 Hopkins, M. J.; Gross, B. H. 26 1994 The homotopy theory of cyclic sets. Zbl 0594.55020 Dwyer, W. G.; Hopkins, M. J.; Kan, D. M. 22 1985 Topological modular forms, the Witten genus, and the theorem of the cube. Zbl 0848.55002 Hopkins, Michael J. 20 1995 The sigma orientation is an \(H_\infty\) map. Zbl 1071.55003 Ando, Matthew; Hopkins, Michael J.; Strickland, Neil P. 20 2004 On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023 Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 20 2014 The action of the Morava stabilizer group on the Lubin-Tate moduli space of lifts. Zbl 0842.14034 Devinatz, Ethan S.; Hopkins, Michael J. 19 1995 Spin cobordism determines real K-theory. Zbl 0770.55008 Hopkins, Michael J.; Hovey, Mark A. 19 1992 From elliptic curves to homotopy theory. Zbl 1328.55013 Hopkins, Michael J.; Mahowald, Mark 19 2014 André-Quillen (co-)homology for simplicial algebras over simplicial operads. Zbl 0999.18009 Goerss, Paul G.; Hopkins, Michael J. 17 2000 Chern-Weil forms and abstract homotopy theory. Zbl 1281.58001 Freed, Daniel S.; Hopkins, Michael J. 15 2013 On the existence of a \(v_2^{32}\)-self map on \(M(1,4)\) at the prime 2. Zbl 1162.55010 Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 14 2008 Consistent orientation of moduli spaces. Zbl 1257.19004 Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 12 2010 Morava \(K\)-theories of classifying spaces and generalized characters for finite groups. Zbl 0757.55006 Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. 12 1992 Nilpotence and finite H-spaces. Zbl 0684.55007 Hopkins, Michael J. 11 1989 \(K(1)\)-local \(E_\infty\)-ring spectra. Zbl 1328.55018 Hopkins, Michael J. 11 2014 The slice spectral sequence for the \(C_{4}\) analog of real \(K\)-theory. Zbl 1362.55009 Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 10 2017 Detecting exotic spheres in low dimensions using coker \(J\). Zbl 1460.55017 Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 10 2020 On the structure of spaces representing a Landweber exact cohomology theory. Zbl 0862.55005 Hopkins, M. J.; Hunton, J. R. 9 1995 Equivariant multiplicative closure. Zbl 1342.55007 Hill, M. A.; Hopkins, M. J. 9 2014 Suspension spectra are harmonic. Zbl 0838.55010 Hopkins, Michael J.; Ravenel, Douglas C. 8 1992 The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009 Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 7 2010 Morava Hopf algebras and spaces \(K(n)\) equivalent to finite Postnikov systems. Zbl 0902.55001 Hopkins, Michael J.; Ravenel, Douglas C.; Wilson, W. Stephen 7 1998 Strictly commutative complex orientation theory. Zbl 1417.55012 Hopkins, Michael J.; Lawson, Tyler 7 2018 Vanishing lines in generalized Adams spectral sequences are generic. Zbl 0920.55020 Hopkins, M. J.; Palmieri, J. H.; Smith, J. H. 6 1999 The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005 Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 6 2011 Hodge filtered complex bordism. Zbl 1349.32009 Hopkins, Michael J.; Quick, Gereon 6 2015 Formulations of cocategory and the iterated suspension. Zbl 0559.55013 Hopkins, M. J. 5 1984 Consistency of M-theory on non-orientable manifolds. Zbl 1479.81060 Freed, Daniel S.; Hopkins, Michael J. 5 2021 Obstructions to algebraizing topological vector bundles. Zbl 1504.14043 Asok, A.; Fasel, J.; Hopkins, M. J. 4 2019 Characters and elliptic cohomology. Zbl 0729.55003 Hopkins, Michael J. 3 1989 Elliptic curves and stable homotopy. I. Zbl 1328.55008 Hopkins, Michael J.; Miller, Haynes R. 3 2014 The slice spectral sequence for certain \(RO(C_{p^n})\)-graded suspensions of \(H\underline{\mathbb{Z}}\). Zbl 1379.55013 Hill, Michael A.; Hopkins, M. J.; Ravenel, D. C. 3 2017 The structure of 24 dimensional manifolds having normal bundles which lift to \(\text{BO}[8]\). Zbl 1012.57041 Mahowald, Mark; Hopkins, Michael J. 3 2002 Formal geometry and bordism operations. With appendices by Nathaniel Stapleton and Michael Hopkins. Zbl 1505.55001 Peterson, Eric 3 2019 Higher real \(K\)-theories and topological automorphic forms. Zbl 1254.55001 Behrens, M.; Hopkins, M. J. 2 2011 Current developments in mathematics, 1995. Lectures of a seminar, held in Boston, MA, USA, May 7-8, 1995. Zbl 0833.00016 Bott, Raoul 2 1995 A variant of \(K\)-theory: \(K_\pm\). Zbl 1090.19004 Atiyah, Michael; Hopkins, Michael 2 2004 The mathematical work of Douglas C. Ravenel. Zbl 1157.55301 Hopkins, Michael J. 2 2008 Dualizing spheres for compact \(p\)-adic analytic groups and duality in chromatic homotopy. Zbl 1504.55011 Beaudry, Agnès; Goerss, Paul G.; Hopkins, Michael J.; Stojanoska, Vesna 2 2022 A nilpotence theorem for modules over the mod 2 Steenrod algebra. Zbl 0801.55011 Hopkins, Michael J.; Palmieri, John H. 1 1993 Equivariant stable homotopy theory and the Kervaire invariant problem. Zbl 1484.55001 Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 1 2021 Intersection forms of spin 4-manifolds and the \(\operatorname{Pin}(2)\)-equivariant Mahowald invariant. Zbl 07750989 Hopkins, Michael J.; Lin, Jianfeng; Shi, Xiaolin Danny; Xu, Zhouli 1 2022 Localization and nilpotent spaces in \(\mathbb{A}^1\)-homotopy theory. Zbl 1495.14035 Asok, Aravind; Fasel, Jean; Hopkins, Michael J. 1 2022 Comparing dualities in the \(K(n)\)-local category. Zbl 1490.55003 Goerss, Paul G.; Hopkins, Michael J. 1 2022 Dualizing spheres for compact \(p\)-adic analytic groups and duality in chromatic homotopy. Zbl 1504.55011 Beaudry, Agnès; Goerss, Paul G.; Hopkins, Michael J.; Stojanoska, Vesna 2 2022 Intersection forms of spin 4-manifolds and the \(\operatorname{Pin}(2)\)-equivariant Mahowald invariant. Zbl 07750989 Hopkins, Michael J.; Lin, Jianfeng; Shi, Xiaolin Danny; Xu, Zhouli 1 2022 Localization and nilpotent spaces in \(\mathbb{A}^1\)-homotopy theory. Zbl 1495.14035 Asok, Aravind; Fasel, Jean; Hopkins, Michael J. 1 2022 Comparing dualities in the \(K(n)\)-local category. Zbl 1490.55003 Goerss, Paul G.; Hopkins, Michael J. 1 2022 Reflection positivity and invertible topological phases. Zbl 1508.81953 Freed, Daniel S.; Hopkins, Michael J. 59 2021 Consistency of M-theory on non-orientable manifolds. Zbl 1479.81060 Freed, Daniel S.; Hopkins, Michael J. 5 2021 Equivariant stable homotopy theory and the Kervaire invariant problem. Zbl 1484.55001 Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 1 2021 Detecting exotic spheres in low dimensions using coker \(J\). Zbl 1460.55017 Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 10 2020 Obstructions to algebraizing topological vector bundles. Zbl 1504.14043 Asok, A.; Fasel, J.; Hopkins, M. J. 4 2019 Formal geometry and bordism operations. With appendices by Nathaniel Stapleton and Michael Hopkins. Zbl 1505.55001 Peterson, Eric 3 2019 Strictly commutative complex orientation theory. Zbl 1417.55012 Hopkins, Michael J.; Lawson, Tyler 7 2018 The slice spectral sequence for the \(C_{4}\) analog of real \(K\)-theory. Zbl 1362.55009 Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 10 2017 The slice spectral sequence for certain \(RO(C_{p^n})\)-graded suspensions of \(H\underline{\mathbb{Z}}\). Zbl 1379.55013 Hill, Michael A.; Hopkins, M. J.; Ravenel, D. C. 3 2017 On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007 Hill, M. A.; Hopkins, M. J.; Ravenel, D. C. 146 2016 Splitting varieties for triple Massey products. Zbl 1323.55014 Hopkins, Michael J.; Wickelgren, Kirsten G. 28 2015 Hodge filtered complex bordism. Zbl 1349.32009 Hopkins, Michael J.; Quick, Gereon 6 2015 Units of ring spectra, orientations, and Thom spectra via rigid infinite loop space theory. Zbl 1316.55005 Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles 37 2014 An \(\infty\)-categorical approach to \(R\)-line bundles, \(R\)-module Thom spectra, and twisted \(R\)-homology. Zbl 1312.55011 Ando, Matthew; Blumberg, Andrew J.; Gepner, David; Hopkins, Michael J.; Rezk, Charles 29 2014 On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023 Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 20 2014 From elliptic curves to homotopy theory. Zbl 1328.55013 Hopkins, Michael J.; Mahowald, Mark 19 2014 \(K(1)\)-local \(E_\infty\)-ring spectra. Zbl 1328.55018 Hopkins, Michael J. 11 2014 Equivariant multiplicative closure. Zbl 1342.55007 Hill, M. A.; Hopkins, M. J. 9 2014 Elliptic curves and stable homotopy. I. Zbl 1328.55008 Hopkins, Michael J.; Miller, Haynes R. 3 2014 Loop groups and twisted \(K\)-theory. II. Zbl 1273.22015 Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 36 2013 Chern-Weil forms and abstract homotopy theory. Zbl 1281.58001 Freed, Daniel S.; Hopkins, Michael J. 15 2013 Loop groups and twisted \(K\)-theory I. Zbl 1241.19002 Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 62 2011 Loop groups and twisted \(K\)-theory. III. Zbl 1239.19002 Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 29 2011 The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005 Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 6 2011 Higher real \(K\)-theories and topological automorphic forms. Zbl 1254.55001 Behrens, M.; Hopkins, M. J. 2 2011 Topological quantum field theories from compact Lie groups. Zbl 1232.57022 Freed, Daniel S.; Hopkins, Michael J.; Lurie, Jacob; Teleman, Constantin 28 2010 Consistent orientation of moduli spaces. Zbl 1257.19004 Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 12 2010 The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009 Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 7 2010 Twisted equivariant \(K\)-theory with complex coefficients. Zbl 1188.19005 Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 49 2008 On the existence of a \(v_2^{32}\)-self map on \(M(1,4)\) at the prime 2. Zbl 1162.55010 Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 14 2008 The mathematical work of Douglas C. Ravenel. Zbl 1157.55301 Hopkins, Michael J. 2 2008 Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018 Hopkins, M. J.; Singer, I. M. 134 2005 Moduli spaces of commutative ring spectra. Zbl 1086.55006 Goerss, P. G.; Hopkins, M. J. 111 2004 Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups. Zbl 1047.55004 Devinatz, Ethan S.; Hopkins, Michael J. 61 2004 The sigma orientation is an \(H_\infty\) map. Zbl 1071.55003 Ando, Matthew; Hopkins, Michael J.; Strickland, Neil P. 20 2004 A variant of \(K\)-theory: \(K_\pm\). Zbl 1090.19004 Atiyah, Michael; Hopkins, Michael 2 2004 Algebraic topology and modular forms. Zbl 1031.55007 Hopkins, M. J. 39 2002 The structure of 24 dimensional manifolds having normal bundles which lift to \(\text{BO}[8]\). Zbl 1012.57041 Mahowald, Mark; Hopkins, Michael J. 3 2002 Elliptic spectra, the Witten genus and the theorem of the cube. Zbl 1031.55005 Ando, M.; Hopkins, M. J.; Strickland, N. P. 52 2001 Generalized group characters and complex oriented cohomology theories. Zbl 1007.55004 Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. 75 2000 On Ramond-Ramond fields and \(K\)-theory. Zbl 0990.81624 Freed, Daniel S.; Hopkins, Michael 39 2000 André-Quillen (co-)homology for simplicial algebras over simplicial operads. Zbl 0999.18009 Goerss, Paul G.; Hopkins, Michael J. 17 2000 Vanishing lines in generalized Adams spectral sequences are generic. Zbl 0920.55020 Hopkins, M. J.; Palmieri, J. H.; Smith, J. H. 6 1999 Nilpotence and stable homotopy theory. II. Zbl 0927.55015 Hopkins, Michael J.; Smith, Jeffrey H. 71 1998 Nilpotence and stable homotopy theory. II. Zbl 0924.55010 Hopkins, Michael J.; Smith, Jeffrey H. 59 1998 Morava Hopf algebras and spaces \(K(n)\) equivalent to finite Postnikov systems. Zbl 0902.55001 Hopkins, Michael J.; Ravenel, Douglas C.; Wilson, W. Stephen 7 1998 Topological modular forms, the Witten genus, and the theorem of the cube. Zbl 0848.55002 Hopkins, Michael J. 20 1995 The action of the Morava stabilizer group on the Lubin-Tate moduli space of lifts. Zbl 0842.14034 Devinatz, Ethan S.; Hopkins, Michael J. 19 1995 On the structure of spaces representing a Landweber exact cohomology theory. Zbl 0862.55005 Hopkins, M. J.; Hunton, J. R. 9 1995 Current developments in mathematics, 1995. Lectures of a seminar, held in Boston, MA, USA, May 7-8, 1995. Zbl 0833.00016 Bott, Raoul 2 1995 Equivariant vector bundles on the Lubin-Tate moduli space. Zbl 0807.14037 Hopkins, M. J.; Gross, B. H. 44 1994 Constructions of elements in Picard groups. Zbl 0799.55005 Hopkins, Michael J.; Mahowald, Mark; Sadofsky, Hal 40 1994 The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory. Zbl 0857.55003 Hopkins, M. J.; Gross, B. H. 26 1994 A nilpotence theorem for modules over the mod 2 Steenrod algebra. Zbl 0801.55011 Hopkins, Michael J.; Palmieri, John H. 1 1993 Spin cobordism determines real K-theory. Zbl 0770.55008 Hopkins, Michael J.; Hovey, Mark A. 19 1992 Morava \(K\)-theories of classifying spaces and generalized characters for finite groups. Zbl 0757.55006 Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. 12 1992 Suspension spectra are harmonic. Zbl 0838.55010 Hopkins, Michael J.; Ravenel, Douglas C. 8 1992 Nilpotence and finite H-spaces. Zbl 0684.55007 Hopkins, Michael J. 11 1989 Characters and elliptic cohomology. Zbl 0729.55003 Hopkins, Michael J. 3 1989 Nilpotence and stable homotopy theory. I. Zbl 0673.55008 Devinatz, Ethan S.; Hopkins, Michael J.; Smith, Jeffrey H. 95 1988 Global methods in homotopy theory. Zbl 0657.55008 Hopkins, Michael J. 32 1987 The homotopy theory of cyclic sets. Zbl 0594.55020 Dwyer, W. G.; Hopkins, M. J.; Kan, D. M. 22 1985 Formulations of cocategory and the iterated suspension. Zbl 0559.55013 Hopkins, M. J. 5 1984 all cited Publications top 5 cited Publications all top 5 Cited by 868 Authors 32 Sati, Hisham 26 Hill, Michael A. 19 Barthel, Tobias 18 Freed, Daniel Stuart 18 Hopkins, Michael Jerome 16 Greenlees, John P. C. 15 Schreiber, Urs 14 Mathew, Akhil 13 Beaudry, Agnès 13 Blumberg, Andrew J. 13 Bunke, Ulrich 13 Lawson, Tyler Douglas 10 Behrens, Mark Joseph 10 Heard, Drew 10 Kříž, Igor 10 Mináč, Ján 10 Monnier, Samuel 10 Moore, Gregory Winthrop 10 Naumann, Niko 10 Szabo, Richard J. 9 Kitchloo, Nitu 9 Laures, Gerd 9 Meier, Lennart 9 Noel, Justin 9 Stapleton, Nathaniel 8 Ando, Matthew 8 Ganter, Nora 8 Gomi, Kiyonori 8 Quigley, James D. 8 Richter, Birgit 8 Szymik, Markus 8 Teleman, Constantin 8 Xu, Zhouli 7 Blanc, David Abraham 7 Culver, Dominic Leon 7 Davis, Daniel G. 7 Fiorenza, Domenico 7 Grady, Daniel 7 Hahn, Jeremy 7 Hovey, Mark A. 7 Hu, Po 7 Mickelsson, Jouko 7 Nguyêñ Duy Tân 7 Nikolaus, Thomas 7 Ravenel, Douglas C. 7 Rognes, John 7 Schlank, Tomer M. 7 Shi, Xiaolin Danny 7 Stojanoska, Vesna 7 Wang, Guozhen 6 Baker, Andrew J. 6 Bakuradze, Malkhaz 6 Benson, David John 6 Dotto, Emanuele 6 Gaiotto, Davide 6 Gepner, David 6 Golasiński, Marek 6 Harper, John E. 6 Hausmann, Markus 6 Henn, Hans-Werner 6 Iyengar, Srikanth B. 6 Mathai, Varghese 6 Palmieri, John H. 6 Patchkoria, Irakli 6 Rezk, Charles 6 Shimomura, Katsumi 6 Strickland, Neil Patrick 6 Takahashi, Ryo 6 Wilson, W. Stephen 6 Yonekura, Kazuya 5 Antieau, Benjamin 5 Balchin, Scott 5 Bonventre, Peter 5 Cantarero, José 5 Evans, David E. 5 Goerss, Paul G. 5 Han, Fei 5 Heller, Jeremiah 5 Ho, Man-Ho 5 Krause, Henning 5 Pstrągowski, Piotr 5 Sadofsky, Hal 5 Schick, Thomas 5 Schuster, Björn 5 Stevenson, Greg 5 Torii, Takeshi 5 Valentino, Alessandro 5 Wang, Bailing 5 Wilson, Dylan 4 Angeltveit, Vigleik 4 Balmer, Paul 4 Banerjee, Abhishek 4 Berwick-Evans, Daniel 4 Bhattacharya, Prasit 4 Bohmann, Anna Marie 4 Carey, Alan L. 4 Carmeli, Shachar 4 Clausen, Dustin 4 Cohen, Ralph L. 4 Debray, Arun ...and 768 more Authors all top 5 Cited in 149 Serials 92 Advances in Mathematics 86 Algebraic & Geometric Topology 57 Journal of Pure and Applied Algebra 55 Communications in Mathematical Physics 49 Transactions of the American Mathematical Society 38 Geometry & Topology 34 Journal of High Energy Physics 34 Journal of Homotopy and Related Structures 33 Mathematische Zeitschrift 33 Proceedings of the American Mathematical Society 30 Journal of Geometry and Physics 25 Inventiones Mathematicae 21 Topology and its Applications 19 Compositio Mathematica 17 Reviews in Mathematical Physics 17 Journal of Topology 14 Annals of Mathematics. Second Series 12 Journal of Mathematical Physics 12 Letters in Mathematical Physics 11 Nuclear Physics. B 11 Manuscripta Mathematica 11 Journal of \(K\)-Theory 10 Journal of Algebra 10 Bulletin of the American Mathematical Society. New Series 9 Duke Mathematical Journal 9 Documenta Mathematica 8 Journal of the London Mathematical Society. Second Series 8 Journal of the American Mathematical Society 8 Selecta Mathematica. New Series 8 Annales Henri Poincaré 7 Israel Journal of Mathematics 7 Bulletin of the London Mathematical Society 7 Mathematische Annalen 7 Tunisian Journal of Mathematics 6 Journal of Noncommutative Geometry 5 Glasgow Mathematical Journal 5 Journal of Number Theory 5 Publications of the Research Institute for Mathematical Sciences, Kyoto University 5 Applied Categorical Structures 5 Annales Mathématiques Blaise Pascal 5 Annals of \(K\)-Theory 4 Fortschritte der Physik 4 Memoirs of the American Mathematical Society 4 Pacific Journal of Mathematics 4 \(K\)-Theory 4 Differential Geometry and its Applications 4 The New York Journal of Mathematics 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 Journal of the Institute of Mathematics of Jussieu 3 Annales de l’Institut Fourier 3 Nagoya Mathematical Journal 3 Annals of Global Analysis and Geometry 3 International Journal of Mathematics 3 Journal of Algebraic Combinatorics 3 Journal de Théorie des Nombres de Bordeaux 3 Theory and Applications of Categories 3 Algebras and Representation Theory 3 Communications in Contemporary Mathematics 3 Oberwolfach Reports 3 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 3 Tbilisi Mathematical Journal 3 Forum of Mathematics, Sigma 3 EMS Surveys in Mathematical Sciences 2 Communications in Algebra 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 Publications Mathématiques 2 Journal of Differential Geometry 2 Journal of Functional Analysis 2 Journal of the Mathematical Society of Japan 2 Journal für die Reine und Angewandte Mathematik 2 Kodai Mathematical Journal 2 Proceedings of the Edinburgh Mathematical Society. Series II 2 Proceedings of the London Mathematical Society. Third Series 2 Journal of the Ramanujan Mathematical Society 2 Proceedings of the National Academy of Sciences of the United States of America 2 Bulletin des Sciences Mathématiques 2 Transformation Groups 2 Annals of Combinatorics 2 Journal of the Australian Mathematical Society 2 Proceedings of the Steklov Institute of Mathematics 2 Journal of Fixed Point Theory and Applications 2 Complex Analysis and Operator Theory 2 Journal of Physics A: Mathematical and Theoretical 2 Journal of Gökova Geometry Topology GGT 2 Proceedings of the International Geometry Center 1 International Journal of Modern Physics A 1 Mathematical Notes 1 Nonlinearity 1 Physics Reports 1 Rocky Mountain Journal of Mathematics 1 Arkiv för Matematik 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 American Journal of Mathematics ...and 49 more Serials all top 5 Cited in 41 Fields 651 Algebraic topology (55-XX) 214 Category theory; homological algebra (18-XX) 208 \(K\)-theory (19-XX) 196 Algebraic geometry (14-XX) 195 Quantum theory (81-XX) 136 Manifolds and cell complexes (57-XX) 102 Global analysis, analysis on manifolds (58-XX) 94 Differential geometry (53-XX) 77 Group theory and generalizations (20-XX) 75 Number theory (11-XX) 64 Associative rings and algebras (16-XX) 51 Commutative algebra (13-XX) 43 Topological groups, Lie groups (22-XX) 37 Relativity and gravitational theory (83-XX) 32 Functional analysis (46-XX) 28 Field theory and polynomials (12-XX) 28 Nonassociative rings and algebras (17-XX) 12 Combinatorics (05-XX) 11 Statistical mechanics, structure of matter (82-XX) 9 Several complex variables and analytic spaces (32-XX) 8 Order, lattices, ordered algebraic structures (06-XX) 8 Mechanics of particles and systems (70-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 History and biography (01-XX) 5 Operator theory (47-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 General and overarching topics; collections (00-XX) 3 General topology (54-XX) 2 Mathematical logic and foundations (03-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Convex and discrete geometry (52-XX) 2 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-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.