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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
Videos: carmin.tv
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 5,511 times in 4,624 Documents Cited by Year
Higher algebraic \(K\)-theory. I. Zbl 0292.18004
Quillen, Daniel
994
1973
Homotopical algebra. Zbl 0168.20903
Quillen, D. G.
686
1967
Rational homotopy theory. Zbl 0191.53702
Quillen, Daniel
491
1969
The spectrum of an equivariant cohomology ring. I. II. Zbl 0247.57013
Quillen, Daniel
312
1971
Projective modules over polynomial rings. Zbl 0337.13011
Quillen, Daniel
304
1976
Homotopy properties of the poset of nontrivial p-subgroups of a group. Zbl 0388.55007
Quillen, Daniel
266
1978
On the cohomology and K-theory of the general linear groups over a finite field. Zbl 0249.18022
Quillen, Daniel
234
1972
Determinants of Cauchy-Riemann operators on a Riemann surface. Zbl 0603.32016
Quillen, Daniel
223
1985
Cyclic homology and the Lie algebra homology of matrices. Zbl 0565.17006
Loday, Jean-Louis; Quillen, Daniel
186
1984
Superconnections and the Chern character. Zbl 0569.58030
Quillen, Daniel
182
1985
Superconnections, Thom classes, and equivariant differential forms. Zbl 0592.55015
Mathai, Varghese; Quillen, Daniel
175
1986
On the (co)-homology of commutative rings. Zbl 0234.18010
Quillen, Daniel
157
1970
On the formal group laws of unoriented and complex cobordism theory. Zbl 0199.26705
Quillen, D.
131
1969
Elementary proofs of some results of cobordism theory using Steenrod operations. Zbl 0214.50502
Quillen, D.
127
1971
Algebra extensions and nonsingularity. Zbl 0838.19001
Cuntz, Joachim; Quillen, Daniel
114
1995
On the associated graded ring of a group ring. Zbl 0192.35803
Quillen, Daniel G.
88
1968
The mod 2 cohomology rings of extra-special 2-groups and the spinor groups. Zbl 0225.55015
Quillen, Daniel
79
1971
The Adams conjecture. Zbl 0219.55013
Quillen, D.
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.
69
1966
Finite generation of the groups \(K_i\) of rings of algebraic integers. Zbl 0355.18018
Quillen, Daniel
46
1973
On the endomorphism ring of a simple module over an enveloping algebra. Zbl 0188.08901
Quillen, D.
39
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.
36
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
Cyclic homology and nonsingularity. Zbl 0838.19002
Cuntz, Joachim; Quillen, Daniel
32
1995
Formal theory of linear overdetermined systems of partial differential equations. Zbl 1295.35005
Quillen, Daniel Gray
31
1964
Cohomology of groups. Zbl 0225.18011
Quillen, Daniel
30
1971
A cohomological criterion for p-nilpotence. Zbl 0254.20038
Quillen, Daniel
30
1972
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
Higher algebraic K-theory. Zbl 0359.18014
Quillen, Daniel
19
1975
Letter from Quillen to Milnor on Im \((\pi_i0\rightarrow\pi^s_i\rightarrow K_i\mathbb{Z})\). Zbl 0351.55003
Quillen, D.
18
1976
Operators on noncommutative differential forms and cyclic homology. Zbl 0865.18009
Cuntz, Joachim; Quillen, Daniel
16
1995
\(K_ 0\) for nonunital rings and Morita invariance. Zbl 0837.19001
Quillen, Daniel
11
1996
The classification of the irreducible complex algebras of infinite types. Zbl 0153.05903
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
11
1967
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
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
Higher K-theory for categories with exact sequences. Zbl 0276.18013
Quillen, Daniel
9
1974
An application of simplicial profinite groups. Zbl 0232.20065
Quillen, Daniel G.
8
1969
Characteristic classes of representations. Zbl 0358.13005
Quillen, Daniel
7
1976
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
5
1990
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
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
On excision in periodic cyclic cohomology. II: The general case. Zbl 0803.18008
Cuntz, Joachim; Quillen, Daniel
2
1994
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
114
1995
Cyclic homology and nonsingularity. Zbl 0838.19002
Cuntz, Joachim; Quillen, Daniel
32
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
5
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
175
1986
Determinants of Cauchy-Riemann operators on a Riemann surface. Zbl 0603.32016
Quillen, Daniel
223
1985
Superconnections and the Chern character. Zbl 0569.58030
Quillen, Daniel
182
1985
Cyclic homology and the Lie algebra homology of matrices. Zbl 0565.17006
Loday, Jean-Louis; Quillen, Daniel
186
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
266
1978
Projective modules over polynomial rings. Zbl 0337.13011
Quillen, Daniel
304
1976
Letter from Quillen to Milnor on Im \((\pi_i0\rightarrow\pi^s_i\rightarrow K_i\mathbb{Z})\). Zbl 0351.55003
Quillen, D.
18
1976
Characteristic classes of representations. Zbl 0358.13005
Quillen, Daniel
7
1976
Higher algebraic K-theory. Zbl 0359.18014
Quillen, Daniel
19
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
994
1973
Finite generation of the groups \(K_i\) of rings of algebraic integers. Zbl 0355.18018
Quillen, Daniel
46
1973
On the cohomology and K-theory of the general linear groups over a finite field. Zbl 0249.18022
Quillen, Daniel
234
1972
Cohomology of finite groups and elementary abelian subgroups. Zbl 0245.18010
Quillen, D.; Venkov, B. B.
36
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
312
1971
Elementary proofs of some results of cobordism theory using Steenrod operations. Zbl 0214.50502
Quillen, D.
127
1971
The mod 2 cohomology rings of extra-special 2-groups and the spinor groups. Zbl 0225.55015
Quillen, Daniel
79
1971
The Adams conjecture. Zbl 0219.55013
Quillen, D.
72
1971
Cohomology of groups. Zbl 0225.18011
Quillen, Daniel
30
1971
On the (co)-homology of commutative rings. Zbl 0234.18010
Quillen, Daniel
157
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
491
1969
On the formal group laws of unoriented and complex cobordism theory. Zbl 0199.26705
Quillen, D.
131
1969
On the endomorphism ring of a simple module over an enveloping algebra. Zbl 0188.08901
Quillen, D.
39
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.
88
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.
686
1967
The classification of the irreducible complex algebras of infinite types. Zbl 0153.05903
Guillemin, Victor W.; Quillen, Daniel; Sternberg, Shlomo
11
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 3,560 Authors

40 Bismut, Jean-Michel
30 Friedlander, Eric Mark
26 Benson, David John
26 Rao, Ravi A.
25 Carlson, Jon Frederick
23 Félix, Yves
23 Tabuada, Gonçalo
21 Blanc, David Abraham
21 Mikhaĭlov, Roman Valer’evich
21 Suciu, Alexander I.
21 Weibel, Charles A.
20 Cortiñas, Guillermo H.
20 Mathai, Varghese
20 Papadima, Ștefan
19 Levine, Marc Noel
19 Yagita, Nobuaki
18 Dwyer, William G.
18 Gillet, Henri A.
18 Pirashvili, Teimuraz
16 Biswas, Indranil
16 Porter, Timothy
16 Soulé, Christophe
15 Mathew, Akhil
15 Murillo-Mas, Aniceto
15 Østvær, Paul Arne
14 Loday, Jean-Louis
14 Moerdijk, Ieke
14 Tanré, Daniel
13 Baues, Hans-Joachim
13 Björner, Anders
13 Bukhshtaber, Viktor Matveevich
13 Cegarra, Antonio Martínez
13 Halperin, Stephen
13 Hernández Paricio, Luis Javier
13 Merkur’ev, Aleksandr Sergeevich
13 Wu, Jie
12 Iyengar, Srikanth B.
12 Kan, Daniel Marinus
12 Keshari, Manoj Kumar
12 Rump, Wolfgang
12 Sati, Hisham
12 Suslin, Andreĭ Aleksandrovich
12 Van den Bergh, Michel
11 Bousfield, A. K.
11 Buijs, Urtzi
11 Freed, Daniel Stuart
11 Grayson, Daniel Richard
11 Ivanov, Sergei Olegovich
11 Kahn, Bruno
11 Karpenko, Nikita Aleksandrovich
11 Pridham, Jonathan Paul
11 Schlichting, Marco
11 Zhang, Weiping
10 Berger, Clemens
10 Bloch, Spencer J.
10 Brzeziński, Tomasz
10 Gillespie, James
10 Klein, John Robert
10 Kono, Akira
10 Ladra González, Manuel
10 Ma, Xiaonan
10 Minian, Elias Gabriel
10 Pevtsova, Julia
10 Quillen, Daniel Gray
10 Shipley, Brooke E.
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 Greenlees, John P. C.
9 Harper, John E.
9 Hazrat, Roozbeh
9 Hopkins, Michael Jerome
9 Krishna, Amalendu
9 Kříž, Igor
9 Kuhn, Nicholas J.
9 Kuku, Aderemi Oluyomi
9 Maltsiniotis, Georges
9 Mandell, Michael A.
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 Williams, Bruce
9 Yengui, Ihsen
9 Zaremsky, Matthew Curtis Burkholder
8 Benameur, Moulay-Tahar
8 Blumberg, Andrew J.
8 Burghelea, Dan
8 Casacuberta, Carles
8 Gaucher, Philippe
8 Hain, Richard M.
8 Huebschmann, Johannes
...and 3,460 more Authors
all top 5

Cited in 331 Serials

502 Journal of Pure and Applied Algebra
321 Journal of Algebra
270 Advances in Mathematics
185 Transactions of the American Mathematical Society
121 Mathematische Zeitschrift
117 Inventiones Mathematicae
117 Algebraic & Geometric Topology
110 Communications in Algebra
103 Proceedings of the American Mathematical Society
96 Communications in Mathematical Physics
87 Topology and its Applications
84 \(K\)-Theory
80 Journal of Geometry and Physics
76 Mathematische Annalen
71 Journal of Homotopy and Related Structures
63 Manuscripta Mathematica
62 Duke Mathematical Journal
53 Geometry & Topology
50 Israel Journal of Mathematics
50 Compositio Mathematica
45 Annales de l’Institut Fourier
44 Applied Categorical Structures
43 Mathematical Proceedings of the Cambridge Philosophical Society
42 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
36 Journal of the American Mathematical Society
36 Journal of \(K\)-Theory
33 Selecta Mathematica. New Series
30 Journal of High Energy Physics
30 Journal of Noncommutative Geometry
29 Journal für die Reine und Angewandte Mathematik
28 Cahiers de Topologie et Géométrie Différentielle Catégoriques
28 Bulletin of the American Mathematical Society. New Series
28 Comptes Rendus. Mathématique. Académie des Sciences, Paris
27 Bulletin of the American Mathematical Society
26 Journal of Mathematical Sciences (New York)
26 Documenta Mathematica
26 Algebras and Representation Theory
26 Journal of Topology
25 Annals of Mathematics. Second Series
24 Journal of Mathematical Physics
24 Annals of \(K\)-Theory
23 Archiv der Mathematik
22 Journal of Combinatorial Theory. Series A
22 Journal of Functional Analysis
22 Theory and Applications of Categories
20 Letters in Mathematical Physics
20 Bulletin de la Société Mathématique de France
20 Journal of Soviet Mathematics
20 Publications of the Research Institute for Mathematical Sciences, Kyoto University
19 Publications Mathématiques
18 Journal of Algebra and its Applications
17 Nuclear Physics. B
17 Journal of Number Theory
17 Forum Mathematicum
16 Pacific Journal of Mathematics
15 Forum of Mathematics, Sigma
14 Bulletin of the London Mathematical Society
14 International Journal of Mathematics
13 Acta Mathematica
13 Journal of the London Mathematical Society. Second Series
13 Memoirs of the American Mathematical Society
12 Mathematical Notes
12 Mathematische Nachrichten
12 Linear Algebra and its Applications
12 Journal of Algebraic Combinatorics
11 Bulletin of the Australian Mathematical Society
11 Proceedings of the Japan Academy. Series A
11 Journal of Algebraic Geometry
11 Journal of the European Mathematical Society (JEMS)
11 Journal of the Institute of Mathematics of Jussieu
11 Higher Structures
10 Rocky Mountain Journal of Mathematics
10 Functional Analysis and its Applications
10 Expositiones Mathematicae
10 St. Petersburg Mathematical Journal
9 Annali di Matematica Pura ed Applicata. Serie Quarta
9 Proceedings of the Edinburgh Mathematical Society. Series II
9 Proceedings of the London Mathematical Society. Third Series
9 Indagationes Mathematicae. New Series
9 Cahiers de Topologie et Géométrie Différentielle Catégoriques
9 International Journal of Geometric Methods in Modern Physics
9 Oberwolfach Reports
9 Algebra & Number Theory
9 Science China. Mathematics
8 Reviews in Mathematical Physics
8 Transformation Groups
8 Journal of Group Theory
8 Journal of the Australian Mathematical Society
7 Discrete Mathematics
7 Indian Journal of Pure & Applied Mathematics
7 Reports on Mathematical Physics
7 European Journal of Combinatorics
7 Journal of Symbolic Computation
7 International Journal of Algebra and Computation
7 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
7 Representation Theory
7 Central European Journal of Mathematics
7 EMS Surveys in Mathematical Sciences
6 Michigan Mathematical Journal
6 Nagoya Mathematical Journal
...and 231 more Serials
all top 5

Cited in 56 Fields

1,652 Algebraic topology (55-XX)
1,293 Category theory; homological algebra (18-XX)
923 Algebraic geometry (14-XX)
751 Group theory and generalizations (20-XX)
730 \(K\)-theory (19-XX)
692 Associative rings and algebras (16-XX)
547 Manifolds and cell complexes (57-XX)
447 Commutative algebra (13-XX)
396 Global analysis, analysis on manifolds (58-XX)
319 Nonassociative rings and algebras (17-XX)
266 Differential geometry (53-XX)
246 Quantum theory (81-XX)
240 Number theory (11-XX)
161 Several complex variables and analytic spaces (32-XX)
150 Functional analysis (46-XX)
131 Combinatorics (05-XX)
104 Order, lattices, ordered algebraic structures (06-XX)
97 Topological groups, Lie groups (22-XX)
67 Linear and multilinear algebra; matrix theory (15-XX)
61 Partial differential equations (35-XX)
51 Field theory and polynomials (12-XX)
44 Relativity and gravitational theory (83-XX)
39 Mathematical logic and foundations (03-XX)
39 Convex and discrete geometry (52-XX)
37 General topology (54-XX)
35 Operator theory (47-XX)
33 Computer science (68-XX)
32 Functions of a complex variable (30-XX)
30 Dynamical systems and ergodic theory (37-XX)
21 General and overarching topics; collections (00-XX)
15 Geometry (51-XX)
15 Mechanics of particles and systems (70-XX)
14 History and biography (01-XX)
14 Statistical mechanics, structure of matter (82-XX)
9 Systems theory; control (93-XX)
8 Ordinary differential equations (34-XX)
8 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 Abstract harmonic analysis (43-XX)
5 Numerical analysis (65-XX)
4 General algebraic systems (08-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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