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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, D.; Quillen, D. G.; Quillen, Daniel; Quillen, Daniel G.; Quillen, Daniel Gray
External Links: MGP · Math-Net.Ru · Wikidata · GND · MacTutor
Awards: Fields Medal (1978)
Documents Indexed: 53 Publications since 1964, including 4 Books
Biographic References: 7 Publications

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 4,423 times in 3,730 Documents Cited by Year
Higher algebraic \(K\)-theory. I. Zbl 0292.18004
Quillen, Daniel
797
1973
Homotopical algebra. Zbl 0168.20903
Quillen, D. G.
532
1967
Rational homotopy theory. Zbl 0191.53702
Quillen, Daniel
396
1969
Projective modules over polynomial rings. Zbl 0337.13011
Quillen, Daniel
259
1976
The spectrum of an equivariant cohomology ring. I. II. Zbl 0247.57013
Quillen, Daniel
243
1971
Homotopy properties of the poset of nontrivial p-subgroups of a group. Zbl 0388.55007
Quillen, Daniel
216
1978
On the cohomology and K-theory of the general linear groups over a finite field. Zbl 0249.18022
Quillen, Daniel
194
1972
Determinants of Cauchy-Riemann operators on a Riemann surface. Zbl 0603.32016
Quillen, Daniel
178
1985
Cyclic homology and the Lie algebra homology of matrices. Zbl 0565.17006
Loday, Jean-Louis; Quillen, Daniel
169
1984
Superconnections, Thom classes, and equivariant differential forms. Zbl 0592.55015
Mathai, Varghese; Quillen, Daniel
146
1986
Superconnections and the Chern character. Zbl 0569.58030
Quillen, Daniel
142
1985
Elementary proofs of some results of cobordism theory using Steenrod operations. Zbl 0214.50502
Quillen, D.
104
1971
On the (co)-homology of commutative rings. Zbl 0234.18010
Quillen, Daniel
103
1970
On the formal group laws of unoriented and complex cobordism theory. Zbl 0199.26705
Quillen, D.
103
1969
Algebra extensions and nonsingularity. Zbl 0838.19001
Cuntz, Joachim; Quillen, Daniel
77
1995
On the associated graded ring of a group ring. Zbl 0192.35803
Quillen, D. G.
75
1968
The mod 2 cohomology rings of extra-special 2-groups and the spinor groups. Zbl 0225.55015
Quillen, Daniel
72
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.
61
1966
The Adams conjecture. Zbl 0219.55013
Quillen, D.
60
1971
Algebra cochains and cyclic cohomology. Zbl 0689.57026
Quillen, Daniel
34
1988
On the endomorphism ring of a simple module over an enveloping algebra. Zbl 0188.08901
Quillen, D.
34
1969
Cohomology of finite groups and elementary abelian subgroups. Zbl 0245.18010
Quillen, D.; Venkov, B. B.
32
1972
Spectral sequences of a double semi-simplicial group. Zbl 0148.43105
Quillen, D. G.
32
1966
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
30
1964
Excision in bivariant periodic cyclic cohomology. Zbl 0889.46054
Cuntz, Joachim; Quillen, Daniel
28
1997
Higher algebraic \(K\)-theory. I. Zbl 1198.19001
Quillen, Daniel
24
2010
Cyclic cohomology and algebra extensions. Zbl 0696.16021
Quillen, Daniel
24
1989
Cyclic homology and nonsingularity. Zbl 0838.19002
Cuntz, Joachim; Quillen, Daniel
23
1995
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.
18
1970
Operators on noncommutative differential forms and cyclic homology. Zbl 0865.18009
Cuntz, Joachim; Quillen, Daniel
17
1995
Superconnection character forms and the Cayley transform. Zbl 0671.57013
Quillen, Daniel
17
1988
Finite generation of the groups \(K_i\) of rings of algebraic integers. Zbl 0355.18018
Quillen, Daniel
14
1973
Cohomology of groups. Zbl 0225.18011
Quillen, Daniel
12
1971
Higher algebraic K-theory. Zbl 0359.18014
Quillen, Daniel
10
1975
The classification of the irreducible complex algebras of infinite types. Zbl 0153.05903
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
10
1967
The classification of the complex primitive infinite pseudogroups. Zbl 0192.12702
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
10
1966
Quaternionic algebra and sheaves on the Riemann sphere. Zbl 0921.14003
Quillen, Daniel
9
1998
Higher K-theory for categories with exact sequences. Zbl 0276.18013
Quillen, Daniel
9
1974
\(K_ 0\) for nonunital rings and Morita invariance. Zbl 0837.19001
Quillen, Daniel
8
1996
Letter from Quillen to Milnor on Im \((\pi_i0\rightarrow\pi^s_i\rightarrow K_i\mathbb{Z})\). Zbl 0351.55003
Quillen, D.
8
1976
An application of simplicial profinite groups. Zbl 0232.20065
Quillen, Daniel G.
8
1969
The geometric realization of a Kan fibration is a Serre fibration. Zbl 0181.26503
Quillen, Daniel G.
8
1968
Some remarks on etale homotopy theory and a conjecture of Adams. Zbl 0157.30303
Quillen, Daniel G.
8
1968
Bivariant cyclic cohomology and models for cyclic homology types. Zbl 0836.18005
Quillen, Daniel
5
1995
Characteristic classes of representations. Zbl 0358.13005
Quillen, Daniel
5
1976
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
Quillen, D. G. (ed.); Segal, G. B. (ed.); Tsou, S. T. (ed.)
2
1990
Cyclic homology and homology of the Lie algebra of matrices. Zbl 0536.17006
Loday, Jean-Louis; Quillen, Daniel
2
1983
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
28
1997
\(K_ 0\) for nonunital rings and Morita invariance. Zbl 0837.19001
Quillen, Daniel
8
1996
Algebra extensions and nonsingularity. Zbl 0838.19001
Cuntz, Joachim; Quillen, Daniel
77
1995
Cyclic homology and nonsingularity. Zbl 0838.19002
Cuntz, Joachim; Quillen, Daniel
23
1995
Operators on noncommutative differential forms and cyclic homology. Zbl 0865.18009
Cuntz, Joachim; Quillen, Daniel
17
1995
Bivariant cyclic cohomology and models for cyclic homology types. Zbl 0836.18005
Quillen, Daniel
5
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
Quillen, D. G. (ed.); Segal, G. B. (ed.); Tsou, S. T. (ed.)
2
1990
Cyclic cohomology and algebra extensions. Zbl 0696.16021
Quillen, Daniel
24
1989
Algebra cochains and cyclic cohomology. Zbl 0689.57026
Quillen, Daniel
34
1988
Superconnection character forms and the Cayley transform. Zbl 0671.57013
Quillen, Daniel
17
1988
Superconnections, Thom classes, and equivariant differential forms. Zbl 0592.55015
Mathai, Varghese; Quillen, Daniel
146
1986
Determinants of Cauchy-Riemann operators on a Riemann surface. Zbl 0603.32016
Quillen, Daniel
178
1985
Superconnections and the Chern character. Zbl 0569.58030
Quillen, Daniel
142
1985
Cyclic homology and the Lie algebra homology of matrices. Zbl 0565.17006
Loday, Jean-Louis; Quillen, Daniel
169
1984
Cyclic homology and homology of the Lie algebra of matrices. Zbl 0536.17006
Loday, Jean-Louis; Quillen, Daniel
2
1983
Homotopy properties of the poset of nontrivial p-subgroups of a group. Zbl 0388.55007
Quillen, Daniel
216
1978
Projective modules over polynomial rings. Zbl 0337.13011
Quillen, Daniel
259
1976
Letter from Quillen to Milnor on Im \((\pi_i0\rightarrow\pi^s_i\rightarrow K_i\mathbb{Z})\). Zbl 0351.55003
Quillen, D.
8
1976
Characteristic classes of representations. Zbl 0358.13005
Quillen, Daniel
5
1976
Higher algebraic K-theory. Zbl 0359.18014
Quillen, Daniel
10
1975
Higher K-theory for categories with exact sequences. Zbl 0276.18013
Quillen, Daniel
9
1974
Higher algebraic \(K\)-theory. I. Zbl 0292.18004
Quillen, Daniel
797
1973
Finite generation of the groups \(K_i\) of rings of algebraic integers. Zbl 0355.18018
Quillen, Daniel
14
1973
On the cohomology and K-theory of the general linear groups over a finite field. Zbl 0249.18022
Quillen, Daniel
194
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
243
1971
Elementary proofs of some results of cobordism theory using Steenrod operations. Zbl 0214.50502
Quillen, D.
104
1971
The mod 2 cohomology rings of extra-special 2-groups and the spinor groups. Zbl 0225.55015
Quillen, Daniel
72
1971
The Adams conjecture. Zbl 0219.55013
Quillen, D.
60
1971
Cohomology of groups. Zbl 0225.18011
Quillen, Daniel
12
1971
On the (co)-homology of commutative rings. Zbl 0234.18010
Quillen, Daniel
103
1970
The integrability of characteristics. Zbl 0203.33002
Guillemin, V. W.; Quillen, D.; Sternberg, S.
18
1970
Rational homotopy theory. Zbl 0191.53702
Quillen, Daniel
396
1969
On the formal group laws of unoriented and complex cobordism theory. Zbl 0199.26705
Quillen, D.
103
1969
On the endomorphism ring of a simple module over an enveloping algebra. Zbl 0188.08901
Quillen, D.
34
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.
75
1968
On the representation of hermitian forms as sums of squares. Zbl 0198.35205
Quillen, D. G.
22
1968
The geometric realization of a Kan fibration is a Serre fibration. Zbl 0181.26503
Quillen, Daniel G.
8
1968
Some remarks on etale homotopy theory and a conjecture of Adams. Zbl 0157.30303
Quillen, Daniel G.
8
1968
Homotopical algebra. Zbl 0168.20903
Quillen, D. G.
532
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.
61
1966
Spectral sequences of a double semi-simplicial group. Zbl 0148.43105
Quillen, D. G.
32
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
30
1964
all top 5

Cited by 2,929 Authors

39 Bismut, Jean-Michel
27 Friedlander, Eric Mark
24 Rao, Ravi A.
23 Benson, David John
22 Tabuada, Gonçalo
21 Carlson, Jon Frederick
20 Papadima, Ștefan
19 Suciu, Alexander I.
18 Blanc, David Abraham
18 Dwyer, William G.
18 Mikhaĭlov, Roman Valer’evich
18 Yagita, Nobuaki
17 Cortiñas, Guillermo H.
17 Félix, Yves
17 Gillet, Henri A.
17 Mathai, Varghese
17 Weibel, Charles A.
16 Levine, Marc Noel
16 Pirashvili, Teimuraz
16 Porter, Timothy
16 Soulé, Christophe
13 Baues, Hans-Joachim
13 Björner, Anders
13 Cegarra, Antonio Martínez
13 Hernández Paricio, Luis Javier
13 Loday, Jean-Louis
13 Wu, Jie
12 Kan, Daniel Marinus
12 Suslin, Andreĭ Aleksandrovich
12 Tanré, Daniel
11 Biswas, Indranil
11 Bousfield, A. K.
11 Grayson, Daniel Richard
11 Halperin, Stephen
11 Kahn, Bruno
11 Murillo-Mas, Aniceto
11 Østvær, Paul Arne
11 Zhang, Weiping
10 Bloch, Spencer J.
10 Buijs, Urtzi
10 Bukhshtaber, Viktor Matveevich
10 Freed, Daniel Stuart
10 Kono, Akira
10 Moerdijk, Ieke
10 Quillen, Daniel Gray
10 Schlichting, Marco
10 Van den Bergh, Michel
10 Vogt, Rainer M.
9 Banaszak, Grzegorz
9 Berger, Clemens
9 Bhatwadekar, Srikant M.
9 Gillespie, James
9 Hazrat, Roozbeh
9 Karpenko, Nikita Aleksandrovich
9 Ma, Xiaonan
9 Minian, Elias Gabriel
9 Pham Anh Minh
9 Priddy, Stewart B.
9 Shareshian, John
9 Thomas, Jean-Claude
9 Thomason, Robert Wayne
9 Yengui, Ihsen
8 Bakuradze, Malkhaz
8 Burghelea, Dan
8 Dugger, Daniel
8 Hain, Richard M.
8 Harper, John E.
8 Huebschmann, Johannes
8 Karoubi, Max
8 Keshari, Manoj Kumar
8 Khalkhali, Masoud
8 Klein, John Robert
8 Krause, Henning
8 Kuhn, Nicholas J.
8 Kuku, Aderemi O.
8 Ladra González, Manuel
8 Mandell, Michael A.
8 Mathew, Akhil
8 McCarthy, Randy
8 Merkur’ev, Aleksandr Sergeevich
8 Oliver, Bob
8 Parshall, Brian J.
8 Pevtsova, Julia
8 Prástaro, Agostino
8 Pridham, Jonathan Paul
8 Rosický, Jiří
8 Shipley, Brooke E.
8 Welker, Volkmar
8 Williams, Bruce
8 Witten, Edward
7 Adem, Alejandro
7 Arlettaz, Dominique
7 Benameur, Moulay-Tahar
7 Brzeziński, Tomasz
7 Coombes, Kevin R.
7 Das, Mrinal Kanti
7 Feichtner-Kozlov, Dimitry N.
7 Fiedorowicz, Zbigniew
7 Ginzburg, Victor
7 Greenlees, John P. C.
...and 2,829 more Authors
all top 5

Cited in 281 Serials

453 Journal of Pure and Applied Algebra
289 Journal of Algebra
225 Advances in Mathematics
163 Transactions of the American Mathematical Society
113 Inventiones Mathematicae
105 Mathematische Zeitschrift
93 Communications in Algebra
87 Communications in Mathematical Physics
87 Proceedings of the American Mathematical Society
84 \(K\)-Theory
80 Topology and its Applications
80 Algebraic & Geometric Topology
71 Journal of Geometry and Physics
68 Mathematische Annalen
58 Duke Mathematical Journal
57 Manuscripta Mathematica
51 Journal of Homotopy and Related Structures
43 Annales de l’Institut Fourier
43 Geometry & Topology
40 Mathematical Proceedings of the Cambridge Philosophical Society
39 Israel Journal of Mathematics
39 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
36 Journal of \(K\)-Theory
35 Applied Categorical Structures
34 Compositio Mathematica
31 Journal of the American Mathematical Society
28 Cahiers de Topologie et Géométrie Différentielle Catégoriques
27 Comptes Rendus. Mathématique. Académie des Sciences, Paris
27 Bulletin of the American Mathematical Society
26 Bulletin of the American Mathematical Society. New Series
23 Journal für die Reine und Angewandte Mathematik
23 Journal of Mathematical Sciences (New York)
22 Journal of Mathematical Physics
22 Archiv der Mathematik
22 Journal of Combinatorial Theory. Series A
22 Journal of Functional Analysis
22 Selecta Mathematica. New Series
20 Journal of Soviet Mathematics
20 Publications of the Research Institute for Mathematical Sciences, Kyoto University
20 Annals of Mathematics. Second Series
19 Documenta Mathematica
18 Publications Mathématiques
17 Letters in Mathematical Physics
16 Bulletin de la Société Mathématique de France
16 Algebras and Representation Theory
16 Journal of Noncommutative Geometry
14 Journal of High Energy Physics
13 Acta Mathematica
13 Journal of Number Theory
13 Forum Mathematicum
12 International Journal of Mathematics
12 Journal of Algebra and its Applications
11 Proceedings of the Japan Academy. Series A
10 Bulletin of the Australian Mathematical Society
10 Mathematical Notes
10 Functional Analysis and its Applications
10 Memoirs of the American Mathematical Society
10 Linear Algebra and its Applications
10 Journal of Topology
9 Nuclear Physics. B
9 Mathematische Nachrichten
9 Journal of Algebraic Combinatorics
9 Cahiers de Topologie et Géométrie Différentielle Catégoriques
8 Rocky Mountain Journal of Mathematics
8 Proceedings of the Edinburgh Mathematical Society. Series II
8 Journal of the European Mathematical Society (JEMS)
8 International Journal of Geometric Methods in Modern Physics
8 Annals of \(K\)-Theory
7 Discrete Mathematics
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 European Journal of Combinatorics
7 Expositiones Mathematicae
7 Journal of Algebraic Geometry
7 St. Petersburg Mathematical Journal
7 Theory and Applications of Categories
7 Transformation Groups
7 Representation Theory
7 Journal of the Institute of Mathematics of Jussieu
6 Pacific Journal of Mathematics
6 Tohoku Mathematical Journal. Second Series
6 Acta Applicandae Mathematicae
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 Indagationes Mathematicae. New Series
6 Journal of Group Theory
6 Journal of the Australian Mathematical Society
5 Geometriae Dedicata
5 Glasgow Mathematical Journal
5 Kodai Mathematical Journal
5 Michigan Mathematical Journal
5 Nagoya Mathematical Journal
5 Discrete & Computational Geometry
5 MSCS. Mathematical Structures in Computer Science
5 The Journal of Geometric Analysis
5 Communications in Contemporary Mathematics
5 Proceedings of the Steklov Institute of Mathematics
5 Journal of Commutative Algebra
5 Science China. Mathematics
4 Indian Journal of Pure & Applied Mathematics
...and 181 more Serials
all top 5

Cited in 54 Fields

1,344 Algebraic topology (55-XX)
1,015 Category theory; homological algebra (18-XX)
720 Algebraic geometry (14-XX)
619 Group theory and generalizations (20-XX)
568 \(K\)-theory (19-XX)
531 Associative rings and algebras (16-XX)
461 Manifolds and cell complexes (57-XX)
373 Commutative algebra (13-XX)
337 Global analysis, analysis on manifolds (58-XX)
254 Nonassociative rings and algebras (17-XX)
210 Differential geometry (53-XX)
189 Number theory (11-XX)
179 Quantum theory (81-XX)
138 Several complex variables and analytic spaces (32-XX)
125 Functional analysis (46-XX)
99 Combinatorics (05-XX)
90 Order, lattices, ordered algebraic structures (06-XX)
81 Topological groups, Lie groups (22-XX)
53 Partial differential equations (35-XX)
52 Linear and multilinear algebra; matrix theory (15-XX)
47 Field theory and polynomials (12-XX)
32 Convex and discrete geometry (52-XX)
29 Dynamical systems and ergodic theory (37-XX)
29 General topology (54-XX)
28 Functions of a complex variable (30-XX)
28 Relativity and gravitational theory (83-XX)
25 Mathematical logic and foundations (03-XX)
25 Operator theory (47-XX)
22 Computer science (68-XX)
12 History and biography (01-XX)
12 Geometry (51-XX)
11 General and overarching topics; collections (00-XX)
10 Statistical mechanics, structure of matter (82-XX)
9 Mechanics of particles and systems (70-XX)
9 Systems theory; control (93-XX)
6 Ordinary differential equations (34-XX)
5 Abstract harmonic analysis (43-XX)
4 Approximations and expansions (41-XX)
4 Probability theory and stochastic processes (60-XX)
4 Numerical analysis (65-XX)
3 Measure and integration (28-XX)
3 Special functions (33-XX)
3 Difference and functional equations (39-XX)
3 Harmonic analysis on Euclidean spaces (42-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
2 Potential theory (31-XX)
2 Fluid mechanics (76-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)
1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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