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 more...less Homepage: http://people.math.harvard.edu/~mjh/ External Links: MGP · Wikidata · GND Documents Indexed: 72 Publications since 1984, including 1 Book 1 Contribution as Editor · 1 Further Contribution Biographic References: 2 Publications Co-Authors: 38 Co-Authors with 61 Joint Publications 1,040 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 Goerss, Paul G. 4 Mahowald, Mark Edward 4 Smith, Jeffrey Henderson 3 Devinatz, Ethan S. 2 Asok, Aravind 2 Blumberg, Andrew J. 2 Fasel, Jean 2 Gepner, David 2 Gross, Benedict Hyman 2 Kuhn, Nicholas J. 2 Miller, Haynes R. 2 Palmieri, John H. 2 Rezk, Charles 2 Singer, Isadore Manuel 2 Strickland, Neil Patrick 1 Atiyah, Michael Francis 1 Barwick, Clark 1 Beaudry, Agnès 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 Moerdijk, Ieke 1 Peterson, Eric D. 1 Quick, Gereon 1 Sadofsky, Hal 1 Stapleton, Nathaniel 1 Stojanoska, Vesna 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 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 all top 5 Fields 65 Algebraic topology (55-XX) 17 Manifolds and cell complexes (57-XX) 15 Algebraic geometry (14-XX) 10 \(K\)-theory (19-XX) 7 Quantum theory (81-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Category theory; homological algebra (18-XX) 4 Topological groups, Lie groups (22-XX) 3 Number theory (11-XX) 3 Commutative algebra (13-XX) 3 Associative rings and algebras (16-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Group theory and generalizations (20-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 63 Publications have been cited 1,460 times in 920 Documents Cited by ▼ Year ▼ Quadratic functions in geometry, topology, and \(M\)-theory. Zbl 1116.58018Hopkins, M. J.; Singer, I. M. 119 2005 On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007Hill, M. A.; Hopkins, M. J.; Ravenel, D. C. 110 2016 Moduli spaces of commutative ring spectra. Zbl 1086.55006Goerss, P. G.; Hopkins, M. J. 96 2004 Nilpotence and stable homotopy theory. I. Zbl 0673.55008Devinatz, Ethan S.; Hopkins, Michael J.; Smith, Jeffrey H. 89 1988 Generalized group characters and complex oriented cohomology theories. Zbl 1007.55004Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. 67 2000 Nilpotence and stable homotopy theory. II. Zbl 0927.55015Hopkins, Michael J.; Smith, Jeffrey H. 67 1998 Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups. Zbl 1047.55004Devinatz, Ethan S.; Hopkins, Michael J. 54 2004 Nilpotence and stable homotopy theory. II. Zbl 0924.55010Hopkins, Michael J.; Smith, Jeffrey H. 51 1998 Loop groups and twisted \(K\)-theory I. Zbl 1241.19002Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 51 2011 Elliptic spectra, the Witten genus and the theorem of the cube. Zbl 1031.55005Ando, M.; Hopkins, M. J.; Strickland, N. P. 46 2001 Twisted equivariant \(K\)-theory with complex coefficients. Zbl 1188.19005Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 45 2008 Equivariant vector bundles on the Lubin-Tate moduli space. Zbl 0807.14037Hopkins, M. J.; Gross, B. H. 37 1994 Constructions of elements in Picard groups. Zbl 0799.55005Hopkins, Michael J.; Mahowald, Mark; Sadofsky, Hal 36 1994 On Ramond-Ramond fields and \(K\)-theory. Zbl 0990.81624Freed, Daniel S.; Hopkins, Michael 34 2000 Loop groups and twisted \(K\)-theory. II. Zbl 1273.22015Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 33 2013 Algebraic topology and modular forms. Zbl 1031.55007Hopkins, M. J. 32 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 31 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 26 2014 Topological quantum field theories from compact Lie groups. Zbl 1232.57022Freed, Daniel S.; Hopkins, Michael J.; Lurie, Jacob; Teleman, Constantin 25 2010 Loop groups and twisted \(K\)-theory. III. Zbl 1239.19002Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 25 2011 Global methods in homotopy theory. Zbl 0657.55008Hopkins, Michael J. 23 1987 Splitting varieties for triple Massey products. Zbl 1323.55014Hopkins, Michael J.; Wickelgren, Kirsten G. 23 2015 The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory. Zbl 0857.55003Hopkins, M. J.; Gross, B. H. 23 1994 The homotopy theory of cyclic sets. Zbl 0594.55020Dwyer, W. G.; Hopkins, M. J.; Kan, D. M. 21 1985 The action of the Morava stabilizer group on the Lubin-Tate moduli space of lifts. Zbl 0842.14034Devinatz, Ethan S.; Hopkins, Michael J. 18 1995 Topological modular forms, the Witten genus, and the theorem of the cube. Zbl 0848.55002Hopkins, Michael J. 18 1995 Reflection positivity and invertible topological phases. Zbl 07379310Freed, Daniel S.; Hopkins, Michael J. 18 2021 On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 18 2014 André-Quillen (co-)homology for simplicial algebras over simplicial operads. Zbl 0999.18009Goerss, Paul G.; Hopkins, Michael J. 17 2000 Spin cobordism determines real K-theory. Zbl 0770.55008Hopkins, Michael J.; Hovey, Mark A. 17 1992 The sigma orientation is an \(H_\infty\) map. Zbl 1071.55003Ando, Matthew; Hopkins, Michael J.; Strickland, Neil P. 16 2004 From elliptic curves to homotopy theory. Zbl 1328.55013Hopkins, Michael J.; Mahowald, Mark 15 2014 Chern-Weil forms and abstract homotopy theory. Zbl 1281.58001Freed, Daniel S.; Hopkins, Michael J. 14 2013 Consistent orientation of moduli spaces. Zbl 1257.19004Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 12 2010 Nilpotence and finite H-spaces. Zbl 0684.55007Hopkins, Michael J. 11 1989 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. 11 2008 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 \(K(1)\)-local \(E_\infty\)-ring spectra. Zbl 1328.55018Hopkins, Michael J. 9 2014 Equivariant multiplicative closure. Zbl 1342.55007Hill, M. A.; Hopkins, M. J. 8 2014 On the structure of spaces representing a Landweber exact cohomology theory. Zbl 0862.55005Hopkins, M. J.; Hunton, J. R. 8 1995 The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 6 2010 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 slice spectral sequence for the \(C_{4}\) analog of real \(K\)-theory. Zbl 1362.55009Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 6 2017 Hodge filtered complex bordism. Zbl 1349.32009Hopkins, Michael J.; Quick, Gereon 5 2015 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 Suspension spectra are harmonic. Zbl 0838.55010Hopkins, Michael J.; Ravenel, Douglas C. 5 1992 Vanishing lines in generalized Adams spectral sequences are generic. Zbl 0920.55020Hopkins, M. J.; Palmieri, J. H.; Smith, J. H. 5 1999 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 The structure of 24 dimensional manifolds having normal bundles which lift to \(\text{BO}[8]\). Zbl 1012.57041Mahowald, Mark; Hopkins, Michael J. 3 2002 Obstructions to algebraizing topological vector bundles. Zbl 07040512Asok, A.; Fasel, J.; Hopkins, M. J. 3 2019 Consistency of M-theory on non-orientable manifolds. Zbl 1479.81060Freed, Daniel S.; Hopkins, Michael J. 3 2021 Detecting exotic spheres in low dimensions using coker \(J\). Zbl 1460.55017Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 3 2020 Strictly commutative complex orientation theory. Zbl 1417.55012Hopkins, Michael J.; Lawson, Tyler 3 2018 Higher real \(K\)-theories and topological automorphic forms. Zbl 1254.55001Behrens, M.; Hopkins, M. J. 2 2011 A variant of \(K\)-theory: \(K_\pm\). Zbl 1090.19004Atiyah, Michael; Hopkins, Michael 2 2004 The mathematical work of Douglas C. Ravenel. Zbl 1157.55301Hopkins, Michael J. 2 2008 Formal geometry and bordism operations. With appendices by Nathaniel Stapleton and Michael Hopkins. Zbl 06960206Peterson, Eric 2 2019 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 A nilpotence theorem for modules over the mod 2 Steenrod algebra. Zbl 0801.55011Hopkins, Michael J.; Palmieri, John H. 1 1993 Equivariant stable homotopy theory and the Kervaire invariant problem. Zbl 1484.55001Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 1 2021 Dualizing spheres for compact \(p\)-adic analytic groups and duality in chromatic homotopy. Zbl 07569650Beaudry, Agnès; Goerss, Paul G.; Hopkins, Michael J.; Stojanoska, Vesna 1 2022 Dualizing spheres for compact \(p\)-adic analytic groups and duality in chromatic homotopy. Zbl 07569650Beaudry, Agnès; Goerss, Paul G.; Hopkins, Michael J.; Stojanoska, Vesna 1 2022 Reflection positivity and invertible topological phases. Zbl 07379310Freed, Daniel S.; Hopkins, Michael J. 18 2021 Consistency of M-theory on non-orientable manifolds. Zbl 1479.81060Freed, Daniel S.; Hopkins, Michael J. 3 2021 Equivariant stable homotopy theory and the Kervaire invariant problem. Zbl 1484.55001Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 1 2021 Detecting exotic spheres in low dimensions using coker \(J\). Zbl 1460.55017Behrens, M.; Hill, M.; Hopkins, M. J.; Mahowald, M. 3 2020 Obstructions to algebraizing topological vector bundles. Zbl 07040512Asok, A.; Fasel, J.; Hopkins, M. J. 3 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 3 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. 6 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. 110 2016 Splitting varieties for triple Massey products. Zbl 1323.55014Hopkins, Michael J.; Wickelgren, Kirsten G. 23 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 31 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 26 2014 On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C. 18 2014 From elliptic curves to homotopy theory. Zbl 1328.55013Hopkins, Michael J.; Mahowald, Mark 15 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. 8 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. 14 2013 Loop groups and twisted \(K\)-theory I. Zbl 1241.19002Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 51 2011 Loop groups and twisted \(K\)-theory. III. Zbl 1239.19002Freed, Daniel S.; Hopkins, Michael J.; Teleman, Constantin 25 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 25 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 45 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. 11 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. 119 2005 Moduli spaces of commutative ring spectra. Zbl 1086.55006Goerss, P. G.; Hopkins, M. J. 96 2004 Homotopy fixed point spectra for closed subgroups of the Morava stabilizer groups. Zbl 1047.55004Devinatz, Ethan S.; Hopkins, Michael J. 54 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. 32 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. 46 2001 Generalized group characters and complex oriented cohomology theories. Zbl 1007.55004Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C. 67 2000 On Ramond-Ramond fields and \(K\)-theory. Zbl 0990.81624Freed, Daniel S.; Hopkins, Michael 34 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. 5 1999 Nilpotence and stable homotopy theory. II. Zbl 0927.55015Hopkins, Michael J.; Smith, Jeffrey H. 67 1998 Nilpotence and stable homotopy theory. II. Zbl 0924.55010Hopkins, Michael J.; Smith, Jeffrey H. 51 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 The action of the Morava stabilizer group on the Lubin-Tate moduli space of lifts. Zbl 0842.14034Devinatz, Ethan S.; Hopkins, Michael J. 18 1995 Topological modular forms, the Witten genus, and the theorem of the cube. Zbl 0848.55002Hopkins, Michael J. 18 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. 37 1994 Constructions of elements in Picard groups. Zbl 0799.55005Hopkins, Michael J.; Mahowald, Mark; Sadofsky, Hal 36 1994 The rigid analytic period mapping, Lubin-Tate space, and stable homotopy theory. Zbl 0857.55003Hopkins, M. J.; Gross, B. H. 23 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. 17 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. 11 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. 89 1988 Global methods in homotopy theory. Zbl 0657.55008Hopkins, Michael J. 23 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 741 Authors 28 Sati, Hisham 20 Hill, Michael A. 17 Barthel, Tobias 17 Freed, Daniel Stuart 16 Greenlees, John P. C. 16 Hopkins, Michael Jerome 14 Mathew, Akhil 13 Lawson, Tyler Douglas 12 Blumberg, Andrew J. 12 Bunke, Ulrich 11 Schreiber, Urs 10 Beaudry, Agnès 10 Naumann, Niko 10 Stapleton, Nathaniel 9 Heard, Drew 9 Kitchloo, Nitu 9 Kříž, Igor 9 Mináč, Ján 9 Monnier, Samuel 9 Moore, Gregory Winthrop 9 Noel, Justin 9 Szabo, Richard J. 8 Ando, Matthew 8 Gomi, Kiyonori 8 Laures, Gerd 8 Richter, Birgit 8 Szymik, Markus 8 Teleman, Constantin 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 Meier, Lennart 7 Mickelsson, Jouko 7 Nguyêñ Duy Tân 7 Nikolaus, Thomas 6 Baker, Andrew J. 6 Bakuradze, Malkhaz 6 Behrens, Mark Joseph 6 Benson, David John 6 Fiorenza, Domenico 6 Golasiński, Marek 6 Harper, John E. 6 Henn, Hans-Werner 6 Iyengar, Srikanth B. 6 Mathai, Varghese 6 Palmieri, John H. 6 Quigley, James D. 6 Ravenel, Douglas C. 6 Rezk, Charles 6 Schlank, Tomer M. 6 Shimomura, Katsumi 6 Stojanoska, Vesna 6 Strickland, Neil Patrick 6 Wilson, W. Stephen 5 Antieau, Benjamin 5 Balchin, Scott 5 Bonventre, Peter 5 Cantarero, José 5 Culver, Dominic Leon 5 Dotto, Emanuele 5 Goerss, Paul G. 5 Hahn, Jeremy 5 Han, Fei 5 Hausmann, Markus 5 Ho, Man-Ho 5 Rognes, John 5 Sadofsky, Hal 5 Schuster, Björn 5 Shi, Xiaolin Danny 5 Stevenson, Greg 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 Fausk, Halvard 4 Gaiotto, Davide 4 Gerhardt, Teena 4 Hebestreit, Fabian 4 Heller, Jeremiah 4 Huang, Ruizhi 4 Kohlhaase, Jan 4 Kuhn, Nicholas J. 4 Lorman, Vitaly 4 Mahowald, Mark Edward 4 Møller, Jesper Michael 4 Morava, Jack Johnson 4 Østvær, Paul Arne 4 Park, Byungdo 4 Patchkoria, Irakli ...and 641 more Authors all top 5 Cited in 133 Serials 88 Advances in Mathematics 78 Algebraic & Geometric Topology 55 Journal of Pure and Applied Algebra 49 Transactions of the American Mathematical Society 46 Communications in Mathematical Physics 34 Geometry & Topology 31 Mathematische Zeitschrift 30 Journal of Geometry and Physics 30 Journal of Homotopy and Related Structures 29 Proceedings of the American Mathematical Society 22 Inventiones Mathematicae 17 Topology and its Applications 16 Journal of High Energy Physics 14 Reviews in Mathematical Physics 14 Compositio Mathematica 14 Annals of Mathematics. Second Series 11 Journal of \(K\)-Theory 10 Letters in Mathematical Physics 10 Nuclear Physics. B 9 Duke Mathematical Journal 9 Manuscripta Mathematica 8 Journal of Algebra 8 Journal of the American Mathematical Society 8 Bulletin of the American Mathematical Society. New Series 8 Journal of Topology 7 Israel Journal of Mathematics 7 Mathematische Annalen 7 Selecta Mathematica. New Series 7 Documenta Mathematica 6 Journal of Mathematical Physics 6 Annales Henri Poincaré 6 Journal of Noncommutative Geometry 5 Annales Mathématiques Blaise Pascal 5 Tunisian Journal of Mathematics 4 Glasgow Mathematical Journal 4 Journal of Number Theory 4 Pacific Journal of Mathematics 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 Annals of \(K\)-Theory 3 Annales de l’Institut Fourier 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 Journal of the Institute of Mathematics of Jussieu 3 Tbilisi Mathematical Journal 3 Forum of Mathematics, Sigma 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 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 Proceedings of the National Academy of Sciences of the United States of America 2 The New York Journal of Mathematics 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 1 International Journal of Modern Physics A 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 Canadian Mathematical Bulletin 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 Tôhoku Mathematical Journal. Second Series 1 European Journal of Combinatorics 1 Graphs and Combinatorics 1 Journal of the Ramanujan Mathematical Society 1 Science in China. Series A 1 Annals of Physics ...and 33 more Serials all top 5 Cited in 38 Fields 571 Algebraic topology (55-XX) 190 \(K\)-theory (19-XX) 187 Category theory; homological algebra (18-XX) 165 Algebraic geometry (14-XX) 143 Quantum theory (81-XX) 116 Manifolds and cell complexes (57-XX) 93 Global analysis, analysis on manifolds (58-XX) 85 Differential geometry (53-XX) 69 Group theory and generalizations (20-XX) 64 Number theory (11-XX) 54 Associative rings and algebras (16-XX) 43 Commutative algebra (13-XX) 39 Topological groups, Lie groups (22-XX) 27 Functional analysis (46-XX) 24 Nonassociative rings and algebras (17-XX) 22 Field theory and polynomials (12-XX) 22 Relativity and gravitational theory (83-XX) 9 Combinatorics (05-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Order, lattices, ordered algebraic structures (06-XX) 6 Statistical mechanics, structure of matter (82-XX) 5 History and biography (01-XX) 4 Dynamical systems and ergodic theory (37-XX) 4 Mechanics of particles and systems (70-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 General topology (54-XX) 2 Partial differential equations (35-XX) 2 Abstract harmonic analysis (43-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-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 Computer science (68-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. 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