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Ravenel, Douglas C.

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Author ID: ravenel.douglas-c Recent zbMATH articles by "Ravenel, Douglas C."
Published as: Ravenel, D.; Ravenel, D. C.; Ravenel, Douglas; Ravenel, Douglas C.
External Links: MGP · Wikidata
Documents Indexed: 80 Publications since 1972, including 8 Books
Reviewing Activity: 7 Reviews
Biographic References: 1 Publication

Publications by Year

Citations contained in zbMATH Open

52 Publications have been cited 979 times in 607 Documents Cited by Year
Complex cobordism and stable homotopy groups of spheres. Zbl 0608.55001
Ravenel, Douglas C.
213
1986
Localization with respect to certain periodic homology theories. Zbl 0586.55003
Ravenel, Douglas C.
100
1984
On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007
Hill, M. A.; Hopkins, M. J.; Ravenel, D. C.
71
2016
Periodic phenomena in the Adams-Novikov spectral sequence. Zbl 0374.55022
Miller, Haynes R.; Ravenel, Douglas C.; Wilson, W. Stephen
71
1977
Nilpotence and periodicity in stable homotopy theory. Zbl 0774.55001
Ravenel, Douglas C.
68
1992
Generalized group characters and complex oriented cohomology theories. Zbl 1007.55004
Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C.
55
2000
The Morava K-theories of Eilenberg-MacLane spaces and the Conner-Floyd conjecture. Zbl 0466.55007
Ravenel, Douglas C.; Wilson, W. Stephen
49
1980
The Hopf ring for complex cobordism. Zbl 0373.57020
Ravenel, Douglas C.; Wilson, W. Stephen
40
1977
Complex cobordism and stable homotopy groups of spheres. 2nd ed. Zbl 1073.55001
Ravenel, Douglas C.
34
2004
Morava stabilizer algebras and the localization of Novikov’s \(E_2\)-term. Zbl 0358.55019
Miller, Haynes R.; Ravenel, Douglas C.
24
1977
The cohomology of the Morava stabilizer algebras. Zbl 0338.55018
Ravenel, Douglas C.
19
1977
Brown-Peterson cohomology from Morava \(K\)-theory. Zbl 0912.55002
Ravenel, Douglas C.; Wilson, W. Stephen; Yagita, Nobuaki
18
1998
On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
16
2014
Periodic cohomology theories defined by elliptic curves. Zbl 0920.55005
Landweber, Peter S.; Ravenel, Douglas C.; Stong, Robert E.
15
1995
The 7-connected cobordism ring at \(p=3\). Zbl 0852.55008
Hovey, Mark A.; Ravenel, Douglas C.
12
1995
Morava \(K\)-theories of classifying spaces and generalized characters for finite groups. Zbl 0757.55006
Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C.
11
1992
The non-existence of odd primary Arf invariant elements in stable homotopy. Zbl 0374.55023
Ravenel, Douglas C.
11
1978
The structure of Morava stabilizer algebras. Zbl 0317.57019
Ravenel, Douglas C.
10
1976
Morava K-theories and finite groups. Zbl 0508.55009
Ravenel, Douglas C.
9
1982
Bipolynomial Hopf algebras. Zbl 0279.57016
Ravenel, Douglas C.; Wilson, W. Stephen
9
1974
The root invariant in homotopy theory. Zbl 0796.55008
Mahowald, Mark E.; Ravenel, Douglas C.
8
1993
The homology and Morava K-theory of \(\Omega^ 2SU(n)\). Zbl 0770.55009
Ravenel, Douglas C.
8
1993
The Segal conjecture for cyclic groups and its consequences. Zbl 0586.55007
Ravenel, Douglas C.
8
1984
Progress report on the telescope conjecture. Zbl 0751.55006
Ravenel, Douglas C.
7
1992
The method of infinite descent in stable homotopy theory. I. Zbl 1006.55010
Ravenel, Douglas C.
6
2002
Morava Hopf algebras and spaces \(K(n)\) equivalent to finite Postnikov systems. Zbl 0902.55001
Hopkins, Michael J.; Ravenel, Douglas C.; Wilson, W. Stephen
6
1998
The Segal conjecture for cyclic groups. Zbl 0466.55009
Ravenel, Douglas C.
6
1981
The structure of \(BP\ast BP\) modulo an invariant prime ideal. Zbl 0335.55005
Ravenel, Douglas C.
6
1976
The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
5
2010
The triple loop space approach to the telescope conjecture. Zbl 0984.55009
Mahowald, Mark; Ravenel, Douglas; Shick, Paul
5
2001
Life after the telescope conjecture. Zbl 0899.55009
Ravenel, Douglas C.
5
1993
Suspension spectra are harmonic. Zbl 0838.55010
Hopkins, Michael J.; Ravenel, Douglas C.
5
1992
EHP sequences in BP theory. Zbl 0523.55023
Bendersky, M.; Curtis, E. B.; Ravenel, D.
5
1982
The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
4
2011
The Thomified Eilenberg-Moore spectral sequence. Zbl 0996.55017
Mahowald, Mark; Ravenel, Douglas C.; Shick, Paul
4
2001
A definition of exotic characteristic classes of spherical fibrations. Zbl 0258.55008
Ravenel, Douglas C.
4
1972
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.
3
2017
The geometric realization of the chromatic resolution. Zbl 0707.55004
Ravenel, Douglas C.
3
1987
Toward a global understanding of the homotopy groups of spheres. Zbl 0639.55006
Mahowald, Mark E.; Ravenel, Douglas C.
3
1987
The Hopf ring for complex cobordism. Zbl 0294.57022
Ravenel, Douglas C.; Wilson, W. Stephen
3
1974
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.
2
2017
The chromatic Ext groups \(\text{Ext}_{\Gamma(m+1)}^{0}(BP_{*},M_2^{1})\). Zbl 0996.55019
Ichigi, Ippei; Nakai, Hirofumi; Ravenel, Douglas C.
2
2002
The microstable Adams-Novikov spectral sequence. Zbl 0967.55011
Ravenel, Douglas C.
2
2000
The Adams-Novikov \(E_ 2\)-term for a complex with p cells. Zbl 0587.55011
Ravenel, Douglas C.
2
1985
Formal A-modules and the Adams-Novikov spectral sequence. Zbl 0584.14030
Ravenel, Douglas C.
2
1984
A novice’s guide to the Adams-Novikov spectral sequence. Zbl 0418.55015
Ravenel, Douglas C.
2
1978
Novikov’s \(\text{Ext}^2\) and the nontriviality of the gamma family. Zbl 0319.55023
Miller, Haynes R.; Ravenel, Douglas C.; Wilson, W. Stephen
2
1975
Multiplicative operations in \(\text{BP}^*\text{BP}\). Zbl 0297.55015
Ravenel, Douglas C.
2
1975
A fractal-like algebraic splitting of the classifying space for vector bundles. Zbl 0666.55012
Giambalvo, V.; Pengelley, David J.; Ravenel, Douglas C.
1
1988
Fractal structures in \(H^*(BO)\) and their application to cobordism. Zbl 0638.55007
Giambalvo, Vincent; Pengelley, David J.; Ravenel, Douglas C.
1
1987
Spin and statistics of solitons and J-homomorphisms. Zbl 0577.55008
Ravenel, Douglas C.; Zee, A.
1
1985
Dieudonne modules for Abelian Hopf algebras. Zbl 0346.16012
Ravenel, Douglas C.
1
1975
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.
3
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.
2
2017
On the nonexistence of elements of Kervaire invariant one. Zbl 1366.55007
Hill, M. A.; Hopkins, M. J.; Ravenel, D. C.
71
2016
On the non-existence of elements of Kervaire invariant one. Zbl 1373.55023
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
16
2014
The Arf-Kervaire problem in algebraic topology: sketch of the proof. Zbl 1249.55005
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
4
2011
The Arf-Kervaire invariant problem in algebraic topology: Introduction. Zbl 1223.55009
Hill, Michael A.; Hopkins, Michael J.; Ravenel, Douglas C.
5
2010
Complex cobordism and stable homotopy groups of spheres. 2nd ed. Zbl 1073.55001
Ravenel, Douglas C.
34
2004
The method of infinite descent in stable homotopy theory. I. Zbl 1006.55010
Ravenel, Douglas C.
6
2002
The chromatic Ext groups \(\text{Ext}_{\Gamma(m+1)}^{0}(BP_{*},M_2^{1})\). Zbl 0996.55019
Ichigi, Ippei; Nakai, Hirofumi; Ravenel, Douglas C.
2
2002
The triple loop space approach to the telescope conjecture. Zbl 0984.55009
Mahowald, Mark; Ravenel, Douglas; Shick, Paul
5
2001
The Thomified Eilenberg-Moore spectral sequence. Zbl 0996.55017
Mahowald, Mark; Ravenel, Douglas C.; Shick, Paul
4
2001
Generalized group characters and complex oriented cohomology theories. Zbl 1007.55004
Hopkins, Michael J.; Kuhn, Nicholas J.; Ravenel, Douglas C.
55
2000
The microstable Adams-Novikov spectral sequence. Zbl 0967.55011
Ravenel, Douglas C.
2
2000
Brown-Peterson cohomology from Morava \(K\)-theory. Zbl 0912.55002
Ravenel, Douglas C.; Wilson, W. Stephen; Yagita, Nobuaki
18
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
6
1998
Periodic cohomology theories defined by elliptic curves. Zbl 0920.55005
Landweber, Peter S.; Ravenel, Douglas C.; Stong, Robert E.
15
1995
The 7-connected cobordism ring at \(p=3\). Zbl 0852.55008
Hovey, Mark A.; Ravenel, Douglas C.
12
1995
The root invariant in homotopy theory. Zbl 0796.55008
Mahowald, Mark E.; Ravenel, Douglas C.
8
1993
The homology and Morava K-theory of \(\Omega^ 2SU(n)\). Zbl 0770.55009
Ravenel, Douglas C.
8
1993
Life after the telescope conjecture. Zbl 0899.55009
Ravenel, Douglas C.
5
1993
Nilpotence and periodicity in stable homotopy theory. Zbl 0774.55001
Ravenel, Douglas C.
68
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.
11
1992
Progress report on the telescope conjecture. Zbl 0751.55006
Ravenel, Douglas C.
7
1992
Suspension spectra are harmonic. Zbl 0838.55010
Hopkins, Michael J.; Ravenel, Douglas C.
5
1992
A fractal-like algebraic splitting of the classifying space for vector bundles. Zbl 0666.55012
Giambalvo, V.; Pengelley, David J.; Ravenel, Douglas C.
1
1988
The geometric realization of the chromatic resolution. Zbl 0707.55004
Ravenel, Douglas C.
3
1987
Toward a global understanding of the homotopy groups of spheres. Zbl 0639.55006
Mahowald, Mark E.; Ravenel, Douglas C.
3
1987
Fractal structures in \(H^*(BO)\) and their application to cobordism. Zbl 0638.55007
Giambalvo, Vincent; Pengelley, David J.; Ravenel, Douglas C.
1
1987
Complex cobordism and stable homotopy groups of spheres. Zbl 0608.55001
Ravenel, Douglas C.
213
1986
The Adams-Novikov \(E_ 2\)-term for a complex with p cells. Zbl 0587.55011
Ravenel, Douglas C.
2
1985
Spin and statistics of solitons and J-homomorphisms. Zbl 0577.55008
Ravenel, Douglas C.; Zee, A.
1
1985
Localization with respect to certain periodic homology theories. Zbl 0586.55003
Ravenel, Douglas C.
100
1984
The Segal conjecture for cyclic groups and its consequences. Zbl 0586.55007
Ravenel, Douglas C.
8
1984
Formal A-modules and the Adams-Novikov spectral sequence. Zbl 0584.14030
Ravenel, Douglas C.
2
1984
Morava K-theories and finite groups. Zbl 0508.55009
Ravenel, Douglas C.
9
1982
EHP sequences in BP theory. Zbl 0523.55023
Bendersky, M.; Curtis, E. B.; Ravenel, D.
5
1982
The Segal conjecture for cyclic groups. Zbl 0466.55009
Ravenel, Douglas C.
6
1981
The Morava K-theories of Eilenberg-MacLane spaces and the Conner-Floyd conjecture. Zbl 0466.55007
Ravenel, Douglas C.; Wilson, W. Stephen
49
1980
The non-existence of odd primary Arf invariant elements in stable homotopy. Zbl 0374.55023
Ravenel, Douglas C.
11
1978
A novice’s guide to the Adams-Novikov spectral sequence. Zbl 0418.55015
Ravenel, Douglas C.
2
1978
Periodic phenomena in the Adams-Novikov spectral sequence. Zbl 0374.55022
Miller, Haynes R.; Ravenel, Douglas C.; Wilson, W. Stephen
71
1977
The Hopf ring for complex cobordism. Zbl 0373.57020
Ravenel, Douglas C.; Wilson, W. Stephen
40
1977
Morava stabilizer algebras and the localization of Novikov’s \(E_2\)-term. Zbl 0358.55019
Miller, Haynes R.; Ravenel, Douglas C.
24
1977
The cohomology of the Morava stabilizer algebras. Zbl 0338.55018
Ravenel, Douglas C.
19
1977
The structure of Morava stabilizer algebras. Zbl 0317.57019
Ravenel, Douglas C.
10
1976
The structure of \(BP\ast BP\) modulo an invariant prime ideal. Zbl 0335.55005
Ravenel, Douglas C.
6
1976
Novikov’s \(\text{Ext}^2\) and the nontriviality of the gamma family. Zbl 0319.55023
Miller, Haynes R.; Ravenel, Douglas C.; Wilson, W. Stephen
2
1975
Multiplicative operations in \(\text{BP}^*\text{BP}\). Zbl 0297.55015
Ravenel, Douglas C.
2
1975
Dieudonne modules for Abelian Hopf algebras. Zbl 0346.16012
Ravenel, Douglas C.
1
1975
Bipolynomial Hopf algebras. Zbl 0279.57016
Ravenel, Douglas C.; Wilson, W. Stephen
9
1974
The Hopf ring for complex cobordism. Zbl 0294.57022
Ravenel, Douglas C.; Wilson, W. Stephen
3
1974
A definition of exotic characteristic classes of spherical fibrations. Zbl 0258.55008
Ravenel, Douglas C.
4
1972
all top 5

Cited by 455 Authors

19 Hill, Michael A.
15 Liu, Xiugui
14 Barthel, Tobias
14 Ravenel, Douglas C.
13 Wilson, W. Stephen
12 Bakuradze, Malkhaz
12 Yagita, Nobuaki
11 Shimomura, Katsumi
10 Baker, Andrew J.
10 Hopkins, Michael Jerome
9 Blumberg, Andrew J.
9 Kitchloo, Nitu
9 Laures, Gerd
9 Lawson, Tyler Douglas
8 Greenlees, John P. C.
8 Mahowald, Mark Edward
8 Naumann, Niko
8 Østvær, Paul Arne
8 Stapleton, Nathaniel
7 Behrens, Mark Joseph
7 Benson, David John
7 Heard, Drew
7 Hovey, Mark A.
7 Mathew, Akhil
7 Noel, Justin
7 Ray, Nigel
7 Roitzheim, Constanze Susanne Ruth
7 Wang, Xiangjun
6 Angeltveit, Vigleik
6 Krause, Henning
6 Rognes, John
6 Sati, Hisham
6 Strickland, Neil Patrick
6 Torii, Takeshi
5 Beaudry, Agnès
5 Bunke, Ulrich
5 Henn, Hans-Werner
5 Hunton, John Robert
5 Isaksen, Daniel C.
5 Palmieri, John H.
5 Schuster, Björn
5 Tamanoi, Hirotaka
4 Ganter, Nora
4 Guillou, Bertrand J.
4 Hausmann, Markus
4 Hu, Po
4 Huang, Ruizhi
4 Iyengar, Srikanth B.
4 Kashiwabara, Takuji
4 Kato, Ryo
4 Keller, Bernhard
4 Kříž, Igor
4 Kuhn, Nicholas J.
4 La Luz, José
4 Madsen, Ib Henning
4 Morava, Jack Johnson
4 Neeman, Amnon
4 Ormsby, Kyle M.
4 Powell, Geoffrey M. L.
4 Rezk, Charles
4 Richter, Birgit
4 Sadofsky, Hal
4 Saramago, Rui Miguel
4 Šťovíček, Jan
4 Szymik, Markus
4 Valenzuela, Gabriel
4 Whitehouse, Sarah
4 Yan, Dung Yung
4 Zare, Hadi
3 Ando, Matthew
3 Ausoni, Christian
3 Balmer, Paul
3 Barnes, David
3 Basu, Samik
3 Baues, Hans-Joachim
3 Bökstedt, Marcel
3 Bousfield, A. K.
3 Devinatz, Ethan S.
3 Dotto, Emanuele
3 El Kaoutit, Laiachi
3 Gerhardt, Teena
3 Gutiérrez, Javier J.
3 Ichigi, Ippei
3 Jibladze, Mamuka A.
3 Lazarev, Andrey
3 Lee, Chun-Nip
3 Lenart, Cristian
3 Lorman, Vitaly
3 Meier, Lennart
3 Miller, Haynes R.
3 Minami, Norihiko
3 Nakai, Hirofumi
3 Pevtsova, Julia
3 Schreiber, Urs
3 Spitzweck, Markus
3 Turner, Paul R.
3 Wagner, Uli
3 Würgler, Urs
3 Xu, Zhouli
3 Yarnall, Carolyn
...and 355 more Authors
all top 5

Cited in 107 Serials

57 Journal of Pure and Applied Algebra
52 Advances in Mathematics
48 Algebraic & Geometric Topology
43 Transactions of the American Mathematical Society
38 Mathematische Zeitschrift
29 Proceedings of the American Mathematical Society
22 Topology and its Applications
22 Geometry & Topology
18 Journal of Homotopy and Related Structures
14 Inventiones Mathematicae
12 Mathematical Proceedings of the Cambridge Philosophical Society
11 Journal of Algebra
10 Publications of the Research Institute for Mathematical Sciences, Kyoto University
9 Manuscripta Mathematica
7 Compositio Mathematica
7 Journal of Topology
6 Duke Mathematical Journal
6 Chinese Annals of Mathematics. Series B
6 Annals of Mathematics. Second Series
5 Journal of the American Mathematical Society
5 Forum Mathematicum
5 Bulletin of the American Mathematical Society. New Series
5 Boletín de la Sociedad Matemática Mexicana. Third Series
5 Acta Mathematica Sinica. English Series
5 Journal of \(K\)-Theory
4 Communications in Algebra
4 Communications in Mathematical Physics
4 Journal of Geometry and Physics
4 Glasgow Mathematical Journal
4 Kodai Mathematical Journal
4 Proceedings of the Edinburgh Mathematical Society. Series II
3 Israel Journal of Mathematics
3 Mathematische Annalen
3 Memoirs of the American Mathematical Society
3 Proceedings of the London Mathematical Society. Third Series
3 \(K\)-Theory
3 Theory and Applications of Categories
3 Documenta Mathematica
3 Journal of the European Mathematical Society (JEMS)
3 Proceedings of the Steklov Institute of Mathematics
3 Tunisian Journal of Mathematics
2 Nuclear Physics. B
2 Acta Mathematica
2 Annales de l’Institut Fourier
2 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
2 Bulletin of the London Mathematical Society
2 Geometriae Dedicata
2 Hiroshima Mathematical Journal
2 Nagoya Mathematical Journal
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 Journal of Mathematical Sciences (New York)
2 Journal of Fixed Point Theory and Applications
2 Kyoto Journal of Mathematics
2 Annals of \(K\)-Theory
1 Discrete Mathematics
1 Indian Journal of Pure & Applied Mathematics
1 Journal of Mathematical Physics
1 Mathematical Notes
1 Nonlinearity
1 Russian Mathematical Surveys
1 Arkiv för Matematik
1 Acta Mathematica Vietnamica
1 Bulletin de la Société Mathématique de France
1 Functional Analysis and its Applications
1 Illinois Journal of Mathematics
1 Publications Mathématiques
1 Journal of Combinatorial Theory. Series A
1 Journal of the Mathematical Society of Japan
1 Journal für die Reine und Angewandte Mathematik
1 Mathematische Nachrichten
1 Rendiconti del Seminario Matemàtico e Fisico di Milano
1 European Journal of Combinatorics
1 Bulletin of the Iranian Mathematical Society
1 Discrete & Computational Geometry
1 Science in China. Series A
1 Elemente der Mathematik
1 Expositiones Mathematicae
1 Acta Mathematica Sinica. New Series
1 Experimental Mathematics
1 Journal of Algebraic Combinatorics
1 Applied Categorical Structures
1 Topology Proceedings
1 Journal de Théorie des Nombres de Bordeaux
1 Georgian Mathematical Journal
1 The New York Journal of Mathematics
1 Selecta Mathematica. New Series
1 Bulletin des Sciences Mathématiques
1 Transformation Groups
1 Journal of the ACM
1 Algebras and Representation Theory
1 Annals of Combinatorics
1 Communications in Contemporary Mathematics
1 The Quarterly Journal of Mathematics
1 Foundations of Computational Mathematics
1 Cahiers de Topologie et Géométrie Différentielle Catégoriques
1 Central European Journal of Mathematics
1 Mediterranean Journal of Mathematics
1 Oberwolfach Reports
1 Asian-European Journal of Mathematics
1 Tbilisi Mathematical Journal
...and 7 more Serials

Citations by Year

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