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Quillen, Daniel Gray

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Author ID: quillen.daniel-g Recent zbMATH articles by "Quillen, Daniel Gray"
Published as: Quillen, Daniel; Quillen, D.; Quillen, D. G.; Quillen, Daniel G.; Quillen, Daniel Gray
Further Spellings: Квиллен Д
External Links: MacTutor · MGP · Wikidata · Math-Net.Ru · GND · IdRef
Awards: Fields Medal (1978)
Documents Indexed: 52 Publications since 1964, including 3 Books
1 Contribution as Editor · 1 Further Contribution
Biographic References: 7 Publications
Co-Authors: 13 Co-Authors with 16 Joint Publications
322 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 4,790 times in 4,086 Documents Cited by Year
Higher algebraic \(K\)-theory. I. Zbl 0292.18004
Quillen, Daniel
865
1973
Homotopical algebra. Zbl 0168.20903
Quillen, D. G.
549
1967
Rational homotopy theory. Zbl 0191.53702
Quillen, Daniel
446
1969
The spectrum of an equivariant cohomology ring. I. II. Zbl 0247.57013
Quillen, Daniel
291
1971
Projective modules over polynomial rings. Zbl 0337.13011
Quillen, Daniel
289
1976
Homotopy properties of the poset of nontrivial p-subgroups of a group. Zbl 0388.55007
Quillen, Daniel
245
1978
On the cohomology and K-theory of the general linear groups over a finite field. Zbl 0249.18022
Quillen, Daniel
217
1972
Determinants of Cauchy-Riemann operators on a Riemann surface. Zbl 0603.32016
Quillen, Daniel
189
1985
Cyclic homology and the Lie algebra homology of matrices. Zbl 0565.17006
Loday, Jean-Louis; Quillen, Daniel
176
1984
Superconnections and the Chern character. Zbl 0569.58030
Quillen, Daniel
163
1985
Superconnections, Thom classes, and equivariant differential forms. Zbl 0592.55015
Mathai, Varghese; Quillen, Daniel
157
1986
On the formal group laws of unoriented and complex cobordism theory. Zbl 0199.26705
Quillen, D.
118
1969
Elementary proofs of some results of cobordism theory using Steenrod operations. Zbl 0214.50502
Quillen, D.
117
1971
Algebra extensions and nonsingularity. Zbl 0838.19001
Cuntz, Joachim; Quillen, Daniel
97
1995
On the associated graded ring of a group ring. Zbl 0192.35803
Quillen, D. G.
81
1968
The mod 2 cohomology rings of extra-special 2-groups and the spinor groups. Zbl 0225.55015
Quillen, Daniel
76
1971
The mod-\(p\) lower central series and the Adams spectral sequence. Zbl 0158.20502
Bousfield, A. K.; Curtis, E. B.; Kan, D. M.; Quillen, D. G.; Rector, D. L.; Schlesinger, J. W.
67
1966
On the (co)-homology of commutative rings. Zbl 0234.18010
Quillen, Daniel
67
1970
The Adams conjecture. Zbl 0219.55013
Quillen, D.
65
1971
On the endomorphism ring of a simple module over an enveloping algebra. Zbl 0188.08901
Quillen, D.
38
1969
Algebra cochains and cyclic cohomology. Zbl 0689.57026
Quillen, Daniel
37
1988
Spectral sequences of a double semi-simplicial group. Zbl 0148.43105
Quillen, D. G.
34
1966
Cohomology of finite groups and elementary abelian subgroups. Zbl 0245.18010
Quillen, D.; Venkov, B. B.
32
1972
Excision in bivariant periodic cyclic cohomology. Zbl 0889.46054
Cuntz, Joachim; Quillen, Daniel
31
1997
A cohomological criterion for p-nilpotence. Zbl 0254.20038
Quillen, Daniel
30
1972
Formal theory of linear overdetermined systems of partial differential equations. Zbl 1295.35005
Quillen, Daniel Gray
28
1964
Cyclic homology and nonsingularity. Zbl 0838.19002
Cuntz, Joachim; Quillen, Daniel
27
1995
Cyclic cohomology and algebra extensions. Zbl 0696.16021
Quillen, Daniel
26
1989
Higher algebraic \(K\)-theory. I. Zbl 1198.19001
Quillen, Daniel
24
2010
On the representation of hermitian forms as sums of squares. Zbl 0198.35205
Quillen, D. G.
22
1968
The integrability of characteristics. Zbl 0203.33002
Guillemin, V. W.; Quillen, D.; Sternberg, S.
20
1970
Superconnection character forms and the Cayley transform. Zbl 0671.57013
Quillen, Daniel
19
1988
Operators on noncommutative differential forms and cyclic homology. Zbl 0865.18009
Cuntz, Joachim; Quillen, Daniel
16
1995
Finite generation of the groups \(K_i\) of rings of algebraic integers. Zbl 0355.18018
Quillen, Daniel
13
1973
Cohomology of groups. Zbl 0225.18011
Quillen, Daniel
11
1971
\(K_ 0\) for nonunital rings and Morita invariance. Zbl 0837.19001
Quillen, Daniel
10
1996
The classification of the irreducible complex algebras of infinite types. Zbl 0153.05903
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
10
1967
Some remarks on etale homotopy theory and a conjecture of Adams. Zbl 0157.30303
Quillen, Daniel G.
10
1968
The classification of the complex primitive infinite pseudogroups. Zbl 0192.12702
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
10
1966
Letter from Quillen to Milnor on Im \((\pi_i0\rightarrow\pi^s_i\rightarrow K_i\mathbb{Z})\). Zbl 0351.55003
Quillen, D.
9
1976
Higher algebraic K-theory. Zbl 0359.18014
Quillen, Daniel
9
1975
Quaternionic algebra and sheaves on the Riemann sphere. Zbl 0921.14003
Quillen, Daniel
9
1998
The geometric realization of a Kan fibration is a Serre fibration. Zbl 0181.26503
Quillen, Daniel G.
9
1968
An application of simplicial profinite groups. Zbl 0232.20065
Quillen, Daniel G.
8
1969
Higher K-theory for categories with exact sequences. Zbl 0276.18013
Quillen, Daniel
6
1974
Cyclic homology and homology of the Lie algebra of matrices. (Homologie cyclique et homologie de l’algèbre de Lie des matrices.) Zbl 0536.17006
Loday, Jean-Louis; Quillen, Daniel
4
1983
Characteristic classes of representations. Zbl 0358.13005
Quillen, Daniel
4
1976
Bivariant cyclic cohomology and models for cyclic homology types. Zbl 0836.18005
Quillen, Daniel
4
1995
Finite generation of the groups \(K_i\) of rings of algebraic integers (reprint). Zbl 1197.19002
Quillen, Daniel
2
2010
The interface of mathematics and particle physics. Based on the proceedings of a conference organized by the Institute of Mathematics and its Applications held at the University of Oxford, UK in September 1988. Zbl 0715.53058
2
1990
On excision in periodic cyclic cohomology. II: The general case. Zbl 0803.18008
Cuntz, Joachim; Quillen, Daniel
1
1994
Higher algebraic \(K\)-theory. I. Zbl 1198.19001
Quillen, Daniel
24
2010
Finite generation of the groups \(K_i\) of rings of algebraic integers (reprint). Zbl 1197.19002
Quillen, Daniel
2
2010
Quaternionic algebra and sheaves on the Riemann sphere. Zbl 0921.14003
Quillen, Daniel
9
1998
Excision in bivariant periodic cyclic cohomology. Zbl 0889.46054
Cuntz, Joachim; Quillen, Daniel
31
1997
\(K_ 0\) for nonunital rings and Morita invariance. Zbl 0837.19001
Quillen, Daniel
10
1996
Algebra extensions and nonsingularity. Zbl 0838.19001
Cuntz, Joachim; Quillen, Daniel
97
1995
Cyclic homology and nonsingularity. Zbl 0838.19002
Cuntz, Joachim; Quillen, Daniel
27
1995
Operators on noncommutative differential forms and cyclic homology. Zbl 0865.18009
Cuntz, Joachim; Quillen, Daniel
16
1995
Bivariant cyclic cohomology and models for cyclic homology types. Zbl 0836.18005
Quillen, Daniel
4
1995
On excision in periodic cyclic cohomology. II: The general case. Zbl 0803.18008
Cuntz, Joachim; Quillen, Daniel
1
1994
The interface of mathematics and particle physics. Based on the proceedings of a conference organized by the Institute of Mathematics and its Applications held at the University of Oxford, UK in September 1988. Zbl 0715.53058
2
1990
Cyclic cohomology and algebra extensions. Zbl 0696.16021
Quillen, Daniel
26
1989
Algebra cochains and cyclic cohomology. Zbl 0689.57026
Quillen, Daniel
37
1988
Superconnection character forms and the Cayley transform. Zbl 0671.57013
Quillen, Daniel
19
1988
Superconnections, Thom classes, and equivariant differential forms. Zbl 0592.55015
Mathai, Varghese; Quillen, Daniel
157
1986
Determinants of Cauchy-Riemann operators on a Riemann surface. Zbl 0603.32016
Quillen, Daniel
189
1985
Superconnections and the Chern character. Zbl 0569.58030
Quillen, Daniel
163
1985
Cyclic homology and the Lie algebra homology of matrices. Zbl 0565.17006
Loday, Jean-Louis; Quillen, Daniel
176
1984
Cyclic homology and homology of the Lie algebra of matrices. (Homologie cyclique et homologie de l’algèbre de Lie des matrices.) Zbl 0536.17006
Loday, Jean-Louis; Quillen, Daniel
4
1983
Homotopy properties of the poset of nontrivial p-subgroups of a group. Zbl 0388.55007
Quillen, Daniel
245
1978
Projective modules over polynomial rings. Zbl 0337.13011
Quillen, Daniel
289
1976
Letter from Quillen to Milnor on Im \((\pi_i0\rightarrow\pi^s_i\rightarrow K_i\mathbb{Z})\). Zbl 0351.55003
Quillen, D.
9
1976
Characteristic classes of representations. Zbl 0358.13005
Quillen, Daniel
4
1976
Higher algebraic K-theory. Zbl 0359.18014
Quillen, Daniel
9
1975
Higher K-theory for categories with exact sequences. Zbl 0276.18013
Quillen, Daniel
6
1974
Higher algebraic \(K\)-theory. I. Zbl 0292.18004
Quillen, Daniel
865
1973
Finite generation of the groups \(K_i\) of rings of algebraic integers. Zbl 0355.18018
Quillen, Daniel
13
1973
On the cohomology and K-theory of the general linear groups over a finite field. Zbl 0249.18022
Quillen, Daniel
217
1972
Cohomology of finite groups and elementary abelian subgroups. Zbl 0245.18010
Quillen, D.; Venkov, B. B.
32
1972
A cohomological criterion for p-nilpotence. Zbl 0254.20038
Quillen, Daniel
30
1972
The spectrum of an equivariant cohomology ring. I. II. Zbl 0247.57013
Quillen, Daniel
291
1971
Elementary proofs of some results of cobordism theory using Steenrod operations. Zbl 0214.50502
Quillen, D.
117
1971
The mod 2 cohomology rings of extra-special 2-groups and the spinor groups. Zbl 0225.55015
Quillen, Daniel
76
1971
The Adams conjecture. Zbl 0219.55013
Quillen, D.
65
1971
Cohomology of groups. Zbl 0225.18011
Quillen, Daniel
11
1971
On the (co)-homology of commutative rings. Zbl 0234.18010
Quillen, Daniel
67
1970
The integrability of characteristics. Zbl 0203.33002
Guillemin, V. W.; Quillen, D.; Sternberg, S.
20
1970
Rational homotopy theory. Zbl 0191.53702
Quillen, Daniel
446
1969
On the formal group laws of unoriented and complex cobordism theory. Zbl 0199.26705
Quillen, D.
118
1969
On the endomorphism ring of a simple module over an enveloping algebra. Zbl 0188.08901
Quillen, D.
38
1969
An application of simplicial profinite groups. Zbl 0232.20065
Quillen, Daniel G.
8
1969
On the associated graded ring of a group ring. Zbl 0192.35803
Quillen, D. G.
81
1968
On the representation of hermitian forms as sums of squares. Zbl 0198.35205
Quillen, D. G.
22
1968
Some remarks on etale homotopy theory and a conjecture of Adams. Zbl 0157.30303
Quillen, Daniel G.
10
1968
The geometric realization of a Kan fibration is a Serre fibration. Zbl 0181.26503
Quillen, Daniel G.
9
1968
Homotopical algebra. Zbl 0168.20903
Quillen, D. G.
549
1967
The classification of the irreducible complex algebras of infinite types. Zbl 0153.05903
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
10
1967
The mod-\(p\) lower central series and the Adams spectral sequence. Zbl 0158.20502
Bousfield, A. K.; Curtis, E. B.; Kan, D. M.; Quillen, D. G.; Rector, D. L.; Schlesinger, J. W.
67
1966
Spectral sequences of a double semi-simplicial group. Zbl 0148.43105
Quillen, D. G.
34
1966
The classification of the complex primitive infinite pseudogroups. Zbl 0192.12702
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
10
1966
Formal theory of linear overdetermined systems of partial differential equations. Zbl 1295.35005
Quillen, Daniel Gray
28
1964
all top 5

Cited by 3,219 Authors

39 Bismut, Jean-Michel
28 Friedlander, Eric Mark
26 Benson, David John
26 Rao, Ravi A.
23 Carlson, Jon Frederick
22 Tabuada, Gonçalo
20 Félix, Yves
20 Papadima, Ștefan
20 Suciu, Alexander I.
20 Weibel, Charles A.
19 Mikhaĭlov, Roman Valer’evich
18 Dwyer, William G.
18 Mathai, Varghese
18 Yagita, Nobuaki
17 Blanc, David Abraham
17 Cortiñas, Guillermo H.
17 Gillet, Henri A.
17 Levine, Marc Noel
16 Pirashvili, Teimuraz
16 Soulé, Christophe
14 Murillo-Mas, Aniceto
13 Biswas, Indranil
13 Björner, Anders
13 Loday, Jean-Louis
13 Mathew, Akhil
13 Moerdijk, Ieke
12 Baues, Hans-Joachim
12 Bukhshtaber, Viktor Matveevich
12 Cegarra, Antonio Martínez
12 Kan, Daniel Marinus
12 Østvær, Paul Arne
12 Porter, Timothy
12 Suslin, Andreĭ Aleksandrovich
12 Tanré, Daniel
12 Wu, Jie
11 Bousfield, A. K.
11 Freed, Daniel Stuart
11 Grayson, Daniel Richard
11 Halperin, Stephen
11 Hernández Paricio, Luis Javier
11 Kahn, Bruno
11 Keshari, Manoj Kumar
11 Rump, Wolfgang
11 Zhang, Weiping
10 Bloch, Spencer J.
10 Buijs, Urtzi
10 Gillespie, James
10 Ivanov, Sergei Olegovich
10 Karpenko, Nikita Aleksandrovich
10 Kono, Akira
10 Ma, Xiaonan
10 Merkur’ev, Aleksandr Sergeevich
10 Pridham, Jonathan Paul
10 Quillen, Daniel Gray
10 Schlichting, Marco
10 Vogt, Rainer M.
9 Bakuradze, Malkhaz
9 Banaszak, Grzegorz
9 Berger, Clemens
9 Bhatwadekar, Srikant M.
9 Brzeziński, Tomasz
9 Harper, John E.
9 Minian, Elias Gabriel
9 Pevtsova, Julia
9 Priddy, Stewart B.
9 Sati, Hisham
9 Shareshian, John
9 Thomas, Jean-Claude
9 Thomason, Robert Wayne
9 Van den Bergh, Michel
9 Yengui, Ihsen
8 Benameur, Moulay-Tahar
8 Burghelea, Dan
8 Gaucher, Philippe
8 Hain, Richard M.
8 Hazrat, Roozbeh
8 Hopkins, Michael Jerome
8 Huebschmann, Johannes
8 Hüttemann, Thomas
8 Iyengar, Srikanth B.
8 Karoubi, Max
8 Khalkhali, Masoud
8 Klein, John Robert
8 Krause, Henning
8 Kříž, Igor
8 Kuhn, Nicholas J.
8 Kuku, Aderemi O.
8 Oliver, Bob
8 Parshall, Brian J.
8 Pham Anh Minh
8 Prástaro, Agostino
8 Shipley, Brooke E.
8 Su, Guangxiang
8 Thévenaz, Jacques
8 Welker, Volkmar
8 Williams, Bruce
8 Witten, Edward
8 Zaremsky, Matthew Curtis Burkholder
7 Adem, Alejandro
7 Arlettaz, Dominique
...and 3,119 more Authors
all top 5

Cited in 313 Serials

445 Journal of Pure and Applied Algebra
292 Journal of Algebra
245 Advances in Mathematics
168 Transactions of the American Mathematical Society
116 Inventiones Mathematicae
115 Mathematische Zeitschrift
107 Algebraic & Geometric Topology
100 Communications in Algebra
93 Proceedings of the American Mathematical Society
91 Communications in Mathematical Physics
84 \(K\)-Theory
81 Topology and its Applications
74 Mathematische Annalen
68 Journal of Geometry and Physics
59 Duke Mathematical Journal
59 Manuscripta Mathematica
59 Journal of Homotopy and Related Structures
50 Geometry & Topology
43 Annales de l’Institut Fourier
42 Israel Journal of Mathematics
41 Mathematical Proceedings of the Cambridge Philosophical Society
40 Compositio Mathematica
39 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
39 Applied Categorical Structures
36 Journal of \(K\)-Theory
34 Journal of the American Mathematical Society
28 Cahiers de Topologie et Géométrie Différentielle Catégoriques
28 Selecta Mathematica. New Series
28 Comptes Rendus. Mathématique. Académie des Sciences, Paris
27 Bulletin of the American Mathematical Society. New Series
27 Bulletin of the American Mathematical Society
26 Journal für die Reine und Angewandte Mathematik
26 Journal of Noncommutative Geometry
24 Journal of Mathematical Sciences (New York)
24 Annals of Mathematics. Second Series
23 Journal of Mathematical Physics
23 Archiv der Mathematik
23 Documenta Mathematica
22 Journal of Combinatorial Theory. Series A
22 Algebras and Representation Theory
22 Journal of High Energy Physics
21 Journal of Functional Analysis
20 Journal of Soviet Mathematics
20 Publications of the Research Institute for Mathematical Sciences, Kyoto University
19 Annals of \(K\)-Theory
18 Letters in Mathematical Physics
18 Bulletin de la Société Mathématique de France
18 Publications Mathématiques
16 Pacific Journal of Mathematics
16 Forum Mathematicum
16 Journal of Algebra and its Applications
15 Journal of Number Theory
13 Acta Mathematica
13 International Journal of Mathematics
12 Memoirs of the American Mathematical Society
12 Linear Algebra and its Applications
12 Journal of Algebraic Combinatorics
12 Theory and Applications of Categories
11 Bulletin of the Australian Mathematical Society
11 Mathematical Notes
11 Proceedings of the Japan Academy. Series A
11 Forum of Mathematics, Sigma
10 Functional Analysis and its Applications
10 Journal of Algebraic Geometry
10 St. Petersburg Mathematical Journal
10 Journal of Topology
9 Nuclear Physics. B
9 Rocky Mountain Journal of Mathematics
9 Mathematische Nachrichten
9 Journal of the European Mathematical Society (JEMS)
9 Cahiers de Topologie et Géométrie Différentielle Catégoriques
9 Journal of the Institute of Mathematics of Jussieu
8 Annali di Matematica Pura ed Applicata. Serie Quarta
8 Proceedings of the Edinburgh Mathematical Society. Series II
8 Expositiones Mathematicae
8 Indagationes Mathematicae. New Series
8 Transformation Groups
8 International Journal of Geometric Methods in Modern Physics
7 Discrete Mathematics
7 Representation Theory
7 Journal of Group Theory
7 Algebra & Number Theory
6 Indian Journal of Pure & Applied Mathematics
6 Michigan Mathematical Journal
6 Tôhoku Mathematical Journal. Second Series
6 European Journal of Combinatorics
6 Acta Applicandae Mathematicae
6 Journal of Symbolic Computation
6 MSCS. Mathematical Structures in Computer Science
6 Geometric and Functional Analysis. GAFA
6 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
6 Mémoires de la Société Mathématique de France. Nouvelle Série
6 Georgian Mathematical Journal
6 Journal of the Australian Mathematical Society
6 Proceedings of the Steklov Institute of Mathematics
6 Journal of Commutative Algebra
6 Science China. Mathematics
6 Higher Structures
5 Journal of Mathematical Analysis and Applications
5 Theoretical and Mathematical Physics
...and 213 more Serials
all top 5

Cited in 55 Fields

1,452 Algebraic topology (55-XX)
1,104 Category theory; homological algebra (18-XX)
812 Algebraic geometry (14-XX)
675 Group theory and generalizations (20-XX)
647 \(K\)-theory (19-XX)
607 Associative rings and algebras (16-XX)
499 Manifolds and cell complexes (57-XX)
393 Commutative algebra (13-XX)
363 Global analysis, analysis on manifolds (58-XX)
289 Nonassociative rings and algebras (17-XX)
237 Differential geometry (53-XX)
207 Number theory (11-XX)
203 Quantum theory (81-XX)
146 Several complex variables and analytic spaces (32-XX)
140 Functional analysis (46-XX)
121 Combinatorics (05-XX)
98 Order, lattices, ordered algebraic structures (06-XX)
86 Topological groups, Lie groups (22-XX)
64 Linear and multilinear algebra; matrix theory (15-XX)
57 Partial differential equations (35-XX)
49 Field theory and polynomials (12-XX)
36 Relativity and gravitational theory (83-XX)
33 Convex and discrete geometry (52-XX)
33 General topology (54-XX)
31 Mathematical logic and foundations (03-XX)
30 Operator theory (47-XX)
29 Functions of a complex variable (30-XX)
28 Computer science (68-XX)
26 Dynamical systems and ergodic theory (37-XX)
14 History and biography (01-XX)
14 Geometry (51-XX)
12 General and overarching topics; collections (00-XX)
11 Mechanics of particles and systems (70-XX)
11 Statistical mechanics, structure of matter (82-XX)
9 Systems theory; control (93-XX)
7 Ordinary differential equations (34-XX)
7 Probability theory and stochastic processes (60-XX)
4 Special functions (33-XX)
4 Approximations and expansions (41-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Abstract harmonic analysis (43-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Numerical analysis (65-XX)
3 Measure and integration (28-XX)
3 Potential theory (31-XX)
3 Difference and functional equations (39-XX)
3 Statistics (62-XX)
2 Fluid mechanics (76-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Biology and other natural sciences (92-XX)
2 Information and communication theory, circuits (94-XX)
1 General algebraic systems (08-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year

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