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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
335 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

51 Publications have been cited 4,514 times in 3,886 Documents Cited by Year
Higher algebraic \(K\)-theory. I. Zbl 0292.18004
Quillen, Daniel
807
1973
Homotopical algebra. Zbl 0168.20903
Quillen, D. G.
524
1967
Rational homotopy theory. Zbl 0191.53702
Quillen, Daniel
418
1969
Projective modules over polynomial rings. Zbl 0337.13011
Quillen, Daniel
275
1976
The spectrum of an equivariant cohomology ring. I. II. Zbl 0247.57013
Quillen, Daniel
249
1971
Homotopy properties of the poset of nontrivial p-subgroups of a group. Zbl 0388.55007
Quillen, Daniel
234
1978
On the cohomology and K-theory of the general linear groups over a finite field. Zbl 0249.18022
Quillen, Daniel
202
1972
Determinants of Cauchy-Riemann operators on a Riemann surface. Zbl 0603.32016
Quillen, Daniel
177
1985
Cyclic homology and the Lie algebra homology of matrices. Zbl 0565.17006
Loday, Jean-Louis; Quillen, Daniel
173
1984
Superconnections and the Chern character. Zbl 0569.58030
Quillen, Daniel
159
1985
Superconnections, Thom classes, and equivariant differential forms. Zbl 0592.55015
Mathai, Varghese; Quillen, Daniel
150
1986
Elementary proofs of some results of cobordism theory using Steenrod operations. Zbl 0214.50502
Quillen, D.
112
1971
On the formal group laws of unoriented and complex cobordism theory. Zbl 0199.26705
Quillen, D.
109
1969
Algebra extensions and nonsingularity. Zbl 0838.19001
Cuntz, Joachim; Quillen, Daniel
90
1995
On the associated graded ring of a group ring. Zbl 0192.35803
Quillen, D. G.
76
1968
The mod 2 cohomology rings of extra-special 2-groups and the spinor groups. Zbl 0225.55015
Quillen, Daniel
73
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.
64
1966
The Adams conjecture. Zbl 0219.55013
Quillen, D.
64
1971
On the (co)-homology of commutative rings. Zbl 0234.18010
Quillen, Daniel
63
1970
On the endomorphism ring of a simple module over an enveloping algebra. Zbl 0188.08901
Quillen, D.
36
1969
Algebra cochains and cyclic cohomology. Zbl 0689.57026
Quillen, Daniel
35
1988
Spectral sequences of a double semi-simplicial group. Zbl 0148.43105
Quillen, D. G.
33
1966
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
Excision in bivariant periodic cyclic cohomology. Zbl 0889.46054
Cuntz, Joachim; Quillen, Daniel
28
1997
Formal theory of linear overdetermined systems of partial differential equations. Zbl 1295.35005
Quillen, Daniel Gray
28
1964
Cyclic cohomology and algebra extensions. Zbl 0696.16021
Quillen, Daniel
25
1989
Higher algebraic \(K\)-theory. I. Zbl 1198.19001
Quillen, Daniel
24
2010
Cyclic homology and nonsingularity. Zbl 0838.19002
Cuntz, Joachim; Quillen, Daniel
24
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.
19
1970
Superconnection character forms and the Cayley transform. Zbl 0671.57013
Quillen, Daniel
18
1988
Operators on noncommutative differential forms and cyclic homology. Zbl 0865.18009
Cuntz, Joachim; Quillen, Daniel
16
1995
Cohomology of groups. Zbl 0225.18011
Quillen, Daniel
11
1971
Finite generation of the groups \(K_i\) of rings of algebraic integers. Zbl 0355.18018
Quillen, Daniel
11
1973
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
\(K_ 0\) for nonunital rings and Morita invariance. Zbl 0837.19001
Quillen, Daniel
10
1996
The geometric realization of a Kan fibration is a Serre fibration. Zbl 0181.26503
Quillen, Daniel G.
9
1968
Quaternionic algebra and sheaves on the Riemann sphere. Zbl 0921.14003
Quillen, Daniel
9
1998
Higher algebraic K-theory. Zbl 0359.18014
Quillen, Daniel
9
1975
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
Higher K-theory for categories with exact sequences. Zbl 0276.18013
Quillen, Daniel
5
1974
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
3
1983
Characteristic classes of representations. Zbl 0358.13005
Quillen, Daniel
3
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
2
1990
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
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
10
1996
Algebra extensions and nonsingularity. Zbl 0838.19001
Cuntz, Joachim; Quillen, Daniel
90
1995
Cyclic homology and nonsingularity. Zbl 0838.19002
Cuntz, Joachim; Quillen, Daniel
24
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
25
1989
Algebra cochains and cyclic cohomology. Zbl 0689.57026
Quillen, Daniel
35
1988
Superconnection character forms and the Cayley transform. Zbl 0671.57013
Quillen, Daniel
18
1988
Superconnections, Thom classes, and equivariant differential forms. Zbl 0592.55015
Mathai, Varghese; Quillen, Daniel
150
1986
Determinants of Cauchy-Riemann operators on a Riemann surface. Zbl 0603.32016
Quillen, Daniel
177
1985
Superconnections and the Chern character. Zbl 0569.58030
Quillen, Daniel
159
1985
Cyclic homology and the Lie algebra homology of matrices. Zbl 0565.17006
Loday, Jean-Louis; Quillen, Daniel
173
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
3
1983
Homotopy properties of the poset of nontrivial p-subgroups of a group. Zbl 0388.55007
Quillen, Daniel
234
1978
Projective modules over polynomial rings. Zbl 0337.13011
Quillen, Daniel
275
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
3
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
5
1974
Higher algebraic \(K\)-theory. I. Zbl 0292.18004
Quillen, Daniel
807
1973
Finite generation of the groups \(K_i\) of rings of algebraic integers. Zbl 0355.18018
Quillen, Daniel
11
1973
On the cohomology and K-theory of the general linear groups over a finite field. Zbl 0249.18022
Quillen, Daniel
202
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
249
1971
Elementary proofs of some results of cobordism theory using Steenrod operations. Zbl 0214.50502
Quillen, D.
112
1971
The mod 2 cohomology rings of extra-special 2-groups and the spinor groups. Zbl 0225.55015
Quillen, Daniel
73
1971
The Adams conjecture. Zbl 0219.55013
Quillen, D.
64
1971
Cohomology of groups. Zbl 0225.18011
Quillen, Daniel
11
1971
On the (co)-homology of commutative rings. Zbl 0234.18010
Quillen, Daniel
63
1970
The integrability of characteristics. Zbl 0203.33002
Guillemin, V. W.; Quillen, D.; Sternberg, S.
19
1970
Rational homotopy theory. Zbl 0191.53702
Quillen, Daniel
418
1969
On the formal group laws of unoriented and complex cobordism theory. Zbl 0199.26705
Quillen, D.
109
1969
On the endomorphism ring of a simple module over an enveloping algebra. Zbl 0188.08901
Quillen, D.
36
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.
76
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.
524
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.
64
1966
Spectral sequences of a double semi-simplicial group. Zbl 0148.43105
Quillen, D. G.
33
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 3,043 Authors

39 Bismut, Jean-Michel
27 Friedlander, Eric Mark
25 Rao, Ravi A.
24 Benson, David John
22 Carlson, Jon Frederick
22 Tabuada, Gonçalo
20 Félix, Yves
20 Papadima, Ștefan
20 Suciu, Alexander I.
19 Weibel, Charles A.
18 Dwyer, William G.
18 Mathai, Varghese
18 Mikhaĭlov, Roman Valer’evich
18 Yagita, Nobuaki
17 Cortiñas, Guillermo H.
17 Gillet, Henri A.
16 Blanc, David Abraham
16 Levine, Marc Noel
16 Soulé, Christophe
15 Pirashvili, Teimuraz
14 Murillo-Mas, Aniceto
13 Björner, Anders
13 Loday, Jean-Louis
12 Bukhshtaber, Viktor Matveevich
12 Cegarra, Antonio Martínez
12 Kan, Daniel Marinus
12 Mathew, Akhil
12 Østvær, Paul Arne
12 Porter, Timothy
12 Suslin, Andreĭ Aleksandrovich
12 Tanré, Daniel
12 Wu, Jie
11 Baues, Hans-Joachim
11 Biswas, Indranil
11 Bousfield, A. K.
11 Grayson, Daniel Richard
11 Halperin, Stephen
11 Hernández Paricio, Luis Javier
11 Kahn, Bruno
11 Moerdijk, Ieke
10 Bloch, Spencer J.
10 Buijs, Urtzi
10 Freed, Daniel Stuart
10 Kono, Akira
10 Ma, Xiaonan
10 Quillen, Daniel Gray
10 Schlichting, Marco
10 Vogt, Rainer M.
10 Zhang, Weiping
9 Banaszak, Grzegorz
9 Berger, Clemens
9 Bhatwadekar, Srikant M.
9 Gillespie, James
9 Karpenko, Nikita Aleksandrovich
9 Minian, Elias Gabriel
9 Priddy, Stewart B.
9 Pridham, Jonathan Paul
9 Rump, Wolfgang
9 Shareshian, John
9 Thomas, Jean-Claude
9 Thomason, Robert Wayne
9 Van den Bergh, Michel
9 Yengui, Ihsen
8 Bakuradze, Malkhaz
8 Benameur, Moulay-Tahar
8 Brzeziński, Tomasz
8 Burghelea, Dan
8 Gaucher, Philippe
8 Hain, Richard M.
8 Harper, John E.
8 Hazrat, Roozbeh
8 Hopkins, Michael Jerome
8 Huebschmann, Johannes
8 Hüttemann, Thomas
8 Ivanov, Sergei Olegovich
8 Karoubi, Max
8 Keshari, Manoj Kumar
8 Khalkhali, Masoud
8 Krause, Henning
8 Kuhn, Nicholas J.
8 Kuku, Aderemi O.
8 Merkur’ev, Aleksandr Sergeevich
8 Oliver, Bob
8 Parshall, Brian J.
8 Pevtsova, Julia
8 Pham Anh Minh
8 Prástaro, Agostino
8 Sati, Hisham
8 Shipley, Brooke E.
8 Su, Guangxiang
8 Welker, Volkmar
8 Williams, Bruce
8 Witten, Edward
7 Adem, Alejandro
7 Arlettaz, Dominique
7 Asok, Aravind
7 Berest, Yuri Yu.
7 Coombes, Kevin R.
7 Das, Mrinal Kanti
7 Dugger, Daniel
...and 2,943 more Authors
all top 5

Cited in 306 Serials

438 Journal of Pure and Applied Algebra
285 Journal of Algebra
234 Advances in Mathematics
162 Transactions of the American Mathematical Society
115 Inventiones Mathematicae
112 Mathematische Zeitschrift
98 Communications in Algebra
91 Communications in Mathematical Physics
90 Proceedings of the American Mathematical Society
84 \(K\)-Theory
80 Topology and its Applications
80 Algebraic & Geometric Topology
73 Mathematische Annalen
66 Journal of Geometry and Physics
59 Duke Mathematical Journal
59 Manuscripta Mathematica
55 Journal of Homotopy and Related Structures
43 Annales de l’Institut Fourier
43 Geometry & Topology
41 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
38 Applied Categorical Structures
36 Journal of \(K\)-Theory
32 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
25 Journal für die Reine und Angewandte Mathematik
25 Selecta Mathematica. New Series
23 Journal of Mathematical Sciences (New York)
23 Journal of Noncommutative Geometry
22 Journal of Mathematical Physics
22 Archiv der Mathematik
22 Journal of Combinatorial Theory. Series A
22 Annals of Mathematics. Second Series
21 Journal of Functional Analysis
21 Algebras and Representation Theory
20 Journal of Soviet Mathematics
20 Publications of the Research Institute for Mathematical Sciences, Kyoto University
19 Documenta Mathematica
18 Letters in Mathematical Physics
18 Publications Mathématiques
18 Journal of High Energy Physics
16 Bulletin de la Société Mathématique de France
14 Journal of Number Theory
14 Journal of Algebra and its Applications
13 Acta Mathematica
13 Forum Mathematicum
13 International Journal of Mathematics
12 Linear Algebra and its Applications
11 Bulletin of the Australian Mathematical Society
11 Memoirs of the American Mathematical Society
11 Proceedings of the Japan Academy. Series A
11 Journal of Algebraic Combinatorics
11 Theory and Applications of Categories
10 Mathematical Notes
10 Functional Analysis and its Applications
10 St. Petersburg Mathematical Journal
10 Journal of Topology
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 Forum of Mathematics, Sigma
8 Nuclear Physics. B
8 Proceedings of the Edinburgh Mathematical Society. Series II
8 Expositiones Mathematicae
8 Indagationes Mathematicae. New Series
8 Journal of the Institute of Mathematics of Jussieu
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 Journal of Algebraic Geometry
7 Transformation Groups
7 Representation Theory
7 Journal of Group Theory
6 Indian Journal of Pure & Applied Mathematics
6 Pacific Journal of Mathematics
6 Tohoku Mathematical Journal. Second Series
6 European Journal of Combinatorics
6 Acta Applicandae Mathematicae
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 Journal of the Australian Mathematical Society
6 Science China. Mathematics
6 Higher Structures
5 Theoretical and Mathematical Physics
5 Geometriae Dedicata
5 Glasgow Mathematical Journal
5 Kodai Mathematical Journal
5 Michigan Mathematical Journal
5 Nagoya Mathematical Journal
5 Discrete & Computational Geometry
5 International Journal of Algebra and Computation
...and 206 more Serials
all top 5

Cited in 54 Fields

1,384 Algebraic topology (55-XX)
1,047 Category theory; homological algebra (18-XX)
768 Algebraic geometry (14-XX)
651 Group theory and generalizations (20-XX)
607 \(K\)-theory (19-XX)
573 Associative rings and algebras (16-XX)
482 Manifolds and cell complexes (57-XX)
377 Commutative algebra (13-XX)
352 Global analysis, analysis on manifolds (58-XX)
275 Nonassociative rings and algebras (17-XX)
227 Differential geometry (53-XX)
197 Number theory (11-XX)
187 Quantum theory (81-XX)
141 Several complex variables and analytic spaces (32-XX)
136 Functional analysis (46-XX)
113 Combinatorics (05-XX)
95 Order, lattices, ordered algebraic structures (06-XX)
83 Topological groups, Lie groups (22-XX)
59 Linear and multilinear algebra; matrix theory (15-XX)
55 Partial differential equations (35-XX)
49 Field theory and polynomials (12-XX)
35 Relativity and gravitational theory (83-XX)
32 General topology (54-XX)
31 Convex and discrete geometry (52-XX)
30 Mathematical logic and foundations (03-XX)
28 Functions of a complex variable (30-XX)
28 Computer science (68-XX)
27 Operator theory (47-XX)
26 Dynamical systems and ergodic theory (37-XX)
14 History and biography (01-XX)
14 Geometry (51-XX)
11 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 Probability theory and stochastic processes (60-XX)
6 Ordinary differential equations (34-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 Numerical analysis (65-XX)
3 Measure and integration (28-XX)
3 Potential theory (31-XX)
3 Difference and functional equations (39-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Statistics (62-XX)
2 Fluid mechanics (76-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2 Information and communication theory, circuits (94-XX)
1 Mechanics of deformable solids (74-XX)
1 Optics, electromagnetic theory (78-XX)
1 Operations research, mathematical programming (90-XX)
1 Biology and other natural sciences (92-XX)

Citations by Year

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