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Quillen, Daniel Gray (b. 1940 d. 2011)

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
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: 14 Co-Authors with 16 Joint Publications
342 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

53 Publications have been cited 5,249 times in 4,452 Documents Cited by Year
Higher algebraic \(K\)-theory. I. Zbl 0292.18004
Quillen, Daniel
970
1973
Homotopical algebra. Zbl 0168.20903
Quillen, D. G.
653
1967
Rational homotopy theory. Zbl 0191.53702
Quillen, Daniel
477
1969
The spectrum of an equivariant cohomology ring. I. II. Zbl 0247.57013
Quillen, Daniel
302
1971
Projective modules over polynomial rings. Zbl 0337.13011
Quillen, Daniel
298
1976
Homotopy properties of the poset of nontrivial p-subgroups of a group. Zbl 0388.55007
Quillen, Daniel
258
1978
On the cohomology and K-theory of the general linear groups over a finite field. Zbl 0249.18022
Quillen, Daniel
228
1972
Determinants of Cauchy-Riemann operators on a Riemann surface. Zbl 0603.32016
Quillen, Daniel
206
1985
Cyclic homology and the Lie algebra homology of matrices. Zbl 0565.17006
Loday, Jean-Louis; Quillen, Daniel
180
1984
Superconnections and the Chern character. Zbl 0569.58030
Quillen, Daniel
177
1985
Superconnections, Thom classes, and equivariant differential forms. Zbl 0592.55015
Mathai, Varghese; Quillen, Daniel
167
1986
On the formal group laws of unoriented and complex cobordism theory. Zbl 0199.26705
Quillen, D.
127
1969
Elementary proofs of some results of cobordism theory using Steenrod operations. Zbl 0214.50502
Quillen, D.
125
1971
Algebra extensions and nonsingularity. Zbl 0838.19001
Cuntz, Joachim; Quillen, Daniel
111
1995
On the (co)-homology of commutative rings. Zbl 0234.18010
Quillen, Daniel
99
1970
On the associated graded ring of a group ring. Zbl 0192.35803
Quillen, Daniel G.
87
1968
The mod 2 cohomology rings of extra-special 2-groups and the spinor groups. Zbl 0225.55015
Quillen, Daniel
78
1971
The Adams conjecture. Zbl 0219.55013
Quillen, D.
69
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.
69
1966
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
38
1988
Cohomology of finite groups and elementary abelian subgroups. Zbl 0245.18010
Quillen, D.; Venkov, B. B.
35
1972
Spectral sequences of a double semi-simplicial group. Zbl 0148.43105
Quillen, D. G.
34
1966
Excision in bivariant periodic cyclic cohomology. Zbl 0889.46054
Cuntz, Joachim; Quillen, Daniel
33
1997
Formal theory of linear overdetermined systems of partial differential equations. Zbl 1295.35005
Quillen, Daniel Gray
31
1964
A cohomological criterion for p-nilpotence. Zbl 0254.20038
Quillen, Daniel
30
1972
Cyclic homology and nonsingularity. Zbl 0838.19002
Cuntz, Joachim; Quillen, Daniel
30
1995
Finite generation of the groups \(K_i\) of rings of algebraic integers. Zbl 0355.18018
Quillen, Daniel
27
1973
Higher algebraic \(K\)-theory. I. Zbl 1198.19001
Quillen, Daniel
27
2010
Cyclic cohomology and algebra extensions. Zbl 0696.16021
Quillen, Daniel
26
1989
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
Cohomology of groups. Zbl 0225.18011
Quillen, Daniel
17
1971
Operators on noncommutative differential forms and cyclic homology. Zbl 0865.18009
Cuntz, Joachim; Quillen, Daniel
16
1995
Higher algebraic K-theory. Zbl 0359.18014
Quillen, Daniel
15
1975
Letter from Quillen to Milnor on Im \((\pi_i0\rightarrow\pi^s_i\rightarrow K_i\mathbb{Z})\). Zbl 0351.55003
Quillen, D.
12
1976
\(K_ 0\) for nonunital rings and Morita invariance. Zbl 0837.19001
Quillen, Daniel
11
1996
The geometric realization of a Kan fibration is a Serre fibration. Zbl 0181.26503
Quillen, Daniel G.
11
1968
The classification of the complex primitive infinite pseudogroups. Zbl 0192.12702
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
11
1966
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
Quaternionic algebra and sheaves on the Riemann sphere. Zbl 0921.14003
Quillen, Daniel
9
1998
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
7
1974
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
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
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
4
1990
On excision in periodic cyclic cohomology. II: The general case. Zbl 0803.18008
Cuntz, Joachim; Quillen, Daniel
2
1994
Topology and \(K\)-theory. Lectures by Daniel Quillen. With a contribution by Mikhail Kapranov. Zbl 1434.19001
Penner, Robert
2
2020
Finite generation of the groups \(K_i\) of rings of algebraic integers (reprint). Zbl 1197.19002
Quillen, Daniel
2
2010
Topics in cyclic theory. Zbl 1477.19001
Quillen, Daniel G.; Blower, Gordon
1
2020
Topology and \(K\)-theory. Lectures by Daniel Quillen. With a contribution by Mikhail Kapranov. Zbl 1434.19001
Penner, Robert
2
2020
Topics in cyclic theory. Zbl 1477.19001
Quillen, Daniel G.; Blower, Gordon
1
2020
Higher algebraic \(K\)-theory. I. Zbl 1198.19001
Quillen, Daniel
27
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
33
1997
\(K_ 0\) for nonunital rings and Morita invariance. Zbl 0837.19001
Quillen, Daniel
11
1996
Algebra extensions and nonsingularity. Zbl 0838.19001
Cuntz, Joachim; Quillen, Daniel
111
1995
Cyclic homology and nonsingularity. Zbl 0838.19002
Cuntz, Joachim; Quillen, Daniel
30
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
2
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
4
1990
Cyclic cohomology and algebra extensions. Zbl 0696.16021
Quillen, Daniel
26
1989
Algebra cochains and cyclic cohomology. Zbl 0689.57026
Quillen, Daniel
38
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
167
1986
Determinants of Cauchy-Riemann operators on a Riemann surface. Zbl 0603.32016
Quillen, Daniel
206
1985
Superconnections and the Chern character. Zbl 0569.58030
Quillen, Daniel
177
1985
Cyclic homology and the Lie algebra homology of matrices. Zbl 0565.17006
Loday, Jean-Louis; Quillen, Daniel
180
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
258
1978
Projective modules over polynomial rings. Zbl 0337.13011
Quillen, Daniel
298
1976
Letter from Quillen to Milnor on Im \((\pi_i0\rightarrow\pi^s_i\rightarrow K_i\mathbb{Z})\). Zbl 0351.55003
Quillen, D.
12
1976
Characteristic classes of representations. Zbl 0358.13005
Quillen, Daniel
4
1976
Higher algebraic K-theory. Zbl 0359.18014
Quillen, Daniel
15
1975
Higher K-theory for categories with exact sequences. Zbl 0276.18013
Quillen, Daniel
7
1974
Higher algebraic \(K\)-theory. I. Zbl 0292.18004
Quillen, Daniel
970
1973
Finite generation of the groups \(K_i\) of rings of algebraic integers. Zbl 0355.18018
Quillen, Daniel
27
1973
On the cohomology and K-theory of the general linear groups over a finite field. Zbl 0249.18022
Quillen, Daniel
228
1972
Cohomology of finite groups and elementary abelian subgroups. Zbl 0245.18010
Quillen, D.; Venkov, B. B.
35
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
302
1971
Elementary proofs of some results of cobordism theory using Steenrod operations. Zbl 0214.50502
Quillen, D.
125
1971
The mod 2 cohomology rings of extra-special 2-groups and the spinor groups. Zbl 0225.55015
Quillen, Daniel
78
1971
The Adams conjecture. Zbl 0219.55013
Quillen, D.
69
1971
Cohomology of groups. Zbl 0225.18011
Quillen, Daniel
17
1971
On the (co)-homology of commutative rings. Zbl 0234.18010
Quillen, Daniel
99
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
477
1969
On the formal group laws of unoriented and complex cobordism theory. Zbl 0199.26705
Quillen, D.
127
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, Daniel G.
87
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.
11
1968
Some remarks on etale homotopy theory and a conjecture of Adams. Zbl 0157.30303
Quillen, Daniel G.
10
1968
Homotopical algebra. Zbl 0168.20903
Quillen, D. G.
653
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.
69
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
11
1966
Formal theory of linear overdetermined systems of partial differential equations. Zbl 1295.35005
Quillen, Daniel Gray
31
1964
all top 5

Cited by 3,438 Authors

40 Bismut, Jean-Michel
30 Friedlander, Eric Mark
26 Benson, David John
26 Rao, Ravi A.
25 Carlson, Jon Frederick
23 Tabuada, Gonçalo
22 Félix, Yves
21 Blanc, David Abraham
21 Mikhaĭlov, Roman Valer’evich
21 Suciu, Alexander I.
21 Weibel, Charles A.
20 Mathai, Varghese
20 Papadima, Ștefan
19 Cortiñas, Guillermo H.
19 Yagita, Nobuaki
18 Dwyer, William G.
18 Levine, Marc Noel
17 Gillet, Henri A.
17 Pirashvili, Teimuraz
16 Soulé, Christophe
15 Biswas, Indranil
15 Mathew, Akhil
14 Moerdijk, Ieke
14 Murillo-Mas, Aniceto
13 Baues, Hans-Joachim
13 Björner, Anders
13 Cegarra, Antonio Martínez
13 Halperin, Stephen
13 Hernández Paricio, Luis Javier
13 Loday, Jean-Louis
13 Merkur’ev, Aleksandr Sergeevich
13 Østvær, Paul Arne
13 Tanré, Daniel
12 Bukhshtaber, Viktor Matveevich
12 Kan, Daniel Marinus
12 Keshari, Manoj Kumar
12 Porter, Timothy
12 Rump, Wolfgang
12 Sati, Hisham
12 Suslin, Andreĭ Aleksandrovich
12 Wu, Jie
11 Bousfield, A. K.
11 Freed, Daniel Stuart
11 Grayson, Daniel Richard
11 Ivanov, Sergei Olegovich
11 Iyengar, Srikanth B.
11 Kahn, Bruno
11 Karpenko, Nikita Aleksandrovich
11 Pridham, Jonathan Paul
11 Schlichting, Marco
11 Van den Bergh, Michel
11 Zhang, Weiping
10 Berger, Clemens
10 Bloch, Spencer J.
10 Brzeziński, Tomasz
10 Buijs, Urtzi
10 Gillespie, James
10 Kono, Akira
10 Ma, Xiaonan
10 Minian, Elias Gabriel
10 Quillen, Daniel Gray
10 Vogt, Rainer M.
9 Bakuradze, Malkhaz
9 Banaszak, Grzegorz
9 Berest, Yuri Yu.
9 Bergner, Julie
9 Bhatwadekar, Srikant M.
9 Dugger, Daniel
9 Harper, John E.
9 Hazrat, Roozbeh
9 Hopkins, Michael Jerome
9 Klein, John Robert
9 Krishna, Amalendu
9 Kříž, Igor
9 Mandell, Michael A.
9 Pevtsova, Julia
9 Priddy, Stewart B.
9 Rosický, Jiří
9 Schreiber, Urs
9 Schwede, Stefan
9 Shareshian, John
9 Thomas, Jean-Claude
9 Thomason, Robert Wayne
9 Welker, Volkmar
9 Yengui, Ihsen
8 Benameur, Moulay-Tahar
8 Blumberg, Andrew J.
8 Burghelea, Dan
8 Gaucher, Philippe
8 Hain, Richard M.
8 Huebschmann, Johannes
8 Hüttemann, Thomas
8 Karoubi, Max
8 Keller, Bernhard
8 Khalkhali, Masoud
8 Krause, Henning
8 Kuhn, Nicholas J.
8 Kuku, Aderemi Oluyomi
8 Lück, Wolfgang
8 Maltsiniotis, Georges
...and 3,338 more Authors
all top 5

Cited in 328 Serials

480 Journal of Pure and Applied Algebra
306 Journal of Algebra
257 Advances in Mathematics
179 Transactions of the American Mathematical Society
121 Mathematische Zeitschrift
117 Inventiones Mathematicae
115 Algebraic & Geometric Topology
104 Communications in Algebra
99 Proceedings of the American Mathematical Society
94 Communications in Mathematical Physics
84 Topology and its Applications
84 \(K\)-Theory
75 Journal of Geometry and Physics
75 Mathematische Annalen
70 Journal of Homotopy and Related Structures
62 Manuscripta Mathematica
61 Duke Mathematical Journal
52 Geometry & Topology
50 Compositio Mathematica
49 Israel Journal of Mathematics
44 Annales de l’Institut Fourier
43 Mathematical Proceedings of the Cambridge Philosophical Society
43 Applied Categorical Structures
40 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
36 Journal of \(K\)-Theory
35 Journal of the American Mathematical Society
32 Selecta Mathematica. New Series
30 Journal of Noncommutative Geometry
28 Cahiers de Topologie et Géométrie Différentielle Catégoriques
28 Comptes Rendus. Mathématique. Académie des Sciences, Paris
27 Journal für die Reine und Angewandte Mathematik
27 Bulletin of the American Mathematical Society. New Series
27 Journal of High Energy Physics
27 Bulletin of the American Mathematical Society
26 Journal of Mathematical Sciences (New York)
26 Documenta Mathematica
26 Algebras and Representation Theory
24 Annals of Mathematics. Second Series
23 Journal of Mathematical Physics
23 Archiv der Mathematik
22 Journal of Combinatorial Theory. Series A
22 Journal of Functional Analysis
22 Annals of \(K\)-Theory
20 Bulletin de la Société Mathématique de France
20 Journal of Soviet Mathematics
20 Publications of the Research Institute for Mathematical Sciences, Kyoto University
20 Theory and Applications of Categories
19 Letters in Mathematical Physics
18 Publications Mathématiques
18 Journal of Algebra and its Applications
17 Forum Mathematicum
17 Journal of Topology
16 Journal of Number Theory
16 Pacific Journal of Mathematics
15 Forum of Mathematics, Sigma
14 International Journal of Mathematics
13 Acta Mathematica
13 Memoirs of the American Mathematical Society
12 Mathematical Notes
12 Linear Algebra and its Applications
12 Journal of Algebraic Combinatorics
11 Bulletin of the Australian Mathematical Society
11 Journal of the London Mathematical Society. Second Series
11 Mathematische Nachrichten
11 Proceedings of the Japan Academy. Series A
11 Journal of Algebraic Geometry
11 Journal of the European Mathematical Society (JEMS)
10 Rocky Mountain Journal of Mathematics
10 Bulletin of the London Mathematical Society
10 Functional Analysis and its Applications
10 Expositiones Mathematicae
10 St. Petersburg Mathematical Journal
10 Journal of the Institute of Mathematics of Jussieu
10 Higher Structures
9 Nuclear Physics. B
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Proceedings of the Edinburgh Mathematical Society. Series II
9 Indagationes Mathematicae. New Series
9 Cahiers de Topologie et Géométrie Différentielle Catégoriques
9 International Journal of Geometric Methods in Modern Physics
8 Reviews in Mathematical Physics
8 Transformation Groups
8 Journal of Group Theory
8 Journal of the Australian Mathematical Society
8 Algebra & Number Theory
8 Science China. Mathematics
7 Discrete Mathematics
7 Indian Journal of Pure & Applied Mathematics
7 European Journal of Combinatorics
7 Journal of Symbolic Computation
7 International Journal of Algebra and Computation
7 Representation Theory
7 Oberwolfach Reports
7 EMS Surveys in Mathematical Sciences
6 Michigan Mathematical Journal
6 Nagoya Mathematical Journal
6 Tôhoku Mathematical Journal. Second Series
6 Acta Applicandae Mathematicae
6 Differential Geometry and its Applications
6 MSCS. Mathematical Structures in Computer Science
...and 228 more Serials
all top 5

Cited in 56 Fields

1,595 Algebraic topology (55-XX)
1,237 Category theory; homological algebra (18-XX)
890 Algebraic geometry (14-XX)
722 Group theory and generalizations (20-XX)
711 \(K\)-theory (19-XX)
660 Associative rings and algebras (16-XX)
532 Manifolds and cell complexes (57-XX)
428 Commutative algebra (13-XX)
384 Global analysis, analysis on manifolds (58-XX)
310 Nonassociative rings and algebras (17-XX)
257 Differential geometry (53-XX)
231 Number theory (11-XX)
228 Quantum theory (81-XX)
157 Several complex variables and analytic spaces (32-XX)
147 Functional analysis (46-XX)
127 Combinatorics (05-XX)
103 Order, lattices, ordered algebraic structures (06-XX)
93 Topological groups, Lie groups (22-XX)
66 Linear and multilinear algebra; matrix theory (15-XX)
60 Partial differential equations (35-XX)
51 Field theory and polynomials (12-XX)
41 Relativity and gravitational theory (83-XX)
37 Mathematical logic and foundations (03-XX)
37 Convex and discrete geometry (52-XX)
37 General topology (54-XX)
33 Operator theory (47-XX)
29 Functions of a complex variable (30-XX)
28 Dynamical systems and ergodic theory (37-XX)
28 Computer science (68-XX)
18 General and overarching topics; collections (00-XX)
15 Geometry (51-XX)
14 History and biography (01-XX)
13 Mechanics of particles and systems (70-XX)
13 Statistical mechanics, structure of matter (82-XX)
9 Systems theory; control (93-XX)
8 Ordinary differential equations (34-XX)
7 Probability theory and stochastic processes (60-XX)
5 Special functions (33-XX)
5 Approximations and expansions (41-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Numerical analysis (65-XX)
4 General algebraic systems (08-XX)
4 Abstract harmonic analysis (43-XX)
4 Calculus of variations and optimal control; optimization (49-XX)
4 Statistics (62-XX)
3 Measure and integration (28-XX)
3 Potential theory (31-XX)
3 Difference and functional equations (39-XX)
3 Information and communication theory, circuits (94-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)
1 Sequences, series, summability (40-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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