Daniel Quillen

Daniel Quillen's AcademicInfluence.com Rankings

Daniel Quillen

Mathematics

#68

World Rank

#196

Historical Rank

#24

USA Rank

Measure Theory

#1477

World Rank

#1848

Historical Rank

#501

USA Rank

mathematics Degrees

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Mathematics

Why Is Daniel Quillen Influential?

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According to Wikipedia, Daniel Gray "Dan" Quillen was an American mathematician. He is known for being the "prime architect" of higher algebraic K-theory, for which he was awarded the Cole Prize in 1975 and the Fields Medal in 1978.

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Daniel Quillen's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Higher algebraic K-theory: I (1973) (1405)
The Spectrum of an Equivariant Cohomology Ring: II (1971) (632)
Rational homotopy theory (1969) (631)
Homotopy properties of the poset of nontrivial p-subgroups of a group (1978) (558)
On the Cohomology and K-Theory of the General Linear Groups Over a Finite Field (1972) (554)
Superconnections and the Chern character (1985) (487)
Superconnections, thom classes, and equivariant differential forms (1986) (423)
Cyclic homology and the Lie algebra homology of matrices (1984) (420)
On the (co)homology of commutative rings (1970) (382)
Algebra extensions and nonsingularity (1995) (372)
On the formal group laws of unoriented and complex cobordism theory (1969) (361)
Projective modules over polynomial rings (1976) (345)
Elementary proofs of some results of cobordism theory using Steenrod operations (1971) (342)
THE ADAMS CONJECTURE (1971) (201)
The mod 2 cohomology rings of extra-special 2-groups and the spinor groups (1971) (196)
Finite generation of the groups Ki of rings of algebraic integers (1973) (196)
The mod-p lower central series and the Adams spectral sequence (1966) (186)
On the associated graded ring of a group ring (1968) (186)
Cyclic homology and nonsingularity (1995) (144)
Algebra cochains and cyclic cohomology (1988) (134)
Excision in bivariant periodic cyclic cohomology (1997) (126)
On the endomorphism ring of a simple module over an enveloping algebra (1969) (77)
COHOMOLOGY OF FINITE GROUPS AND ELEMENTARY ABELIAN SUBGROUPS (1972) (77)
Cyclic cohomology and algebra extensions (1989) (64)
A cohomological criterion for p-nilpotence (1971) (63)
Spectral sequences of a double semi-simplical group (1966) (60)
Superconnection character forms and the Cayley transform (1988) (55)
The geometric realization of a Kan fibration is a Serre fibration (1968) (48)
On the representation of hermitian forms as sums of squares (1968) (45)
The integrability of characteristics (1970) (45)
The classification of the complex primitive infinite pseudogroups. (1966) (39)
The classification of the irreducible complex algebras of infinite type (1967) (35)
An application of simplicial profinite groups (1969) (32)
New Developments in Topology: Higher K-theory for categories with exact sequences (1974) (29)
Quaternionic Algebra and Sheaves on the Riemann Sphere (1998) (28)
Characteristic classes of representations (1976) (25)
On excision in periodic cyclic cohomology (1993) (24)
Some remarks on etale homotopy theory and a conjecture of Adams (1968) (18)
Ko for nonunital rings and Morita invariance. (1996) (14)
Letter from Quillen to Milnor on \(\left( {\pi _i 0\xrightarrow{{}}\pi _i^S \xrightarrow{{}}K_i \mathbb{Z}} \right)\) (1976) (11)
On excision in periodic cyclic cohomology. II: The general case (1994) (9)
Bivariant cyclic cohomology and models for cyclic homology types (1995) (6)
FINITE GROUPS AND FINITE SPACES (2010) (5)
FINITE GROUPS AND FINITE SPACES NOTES FOR REU BY J.P. MAY (2008) (4)
Topics in Cyclic Theory (2020) (2)
Axiomatic homotopy theory (1967) (2)
Examples of simplicial homotopy theories (1967) (1)
Algebras of Operators (2020) (0)
SUPERCONNECTIONS AND THE CHERN CHARACTER DANIEL QUILLEN (2001) (0)
Periodic Cyclic Homology (2020) (0)
ALGEBRAIC K-THEORY OF FINITE FIELDS (2014) (0)
Cyclic Cocycles and Basic Operators (2020) (0)
From the pioneering work of Connes (2009) (0)
Daniel Quillen, the father of abstract homotopy theory (2017) (0)
THE GEOMETRIC REALIZATION OF A KAN FIBRATION (2016) (0)

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What Schools Are Affiliated With Daniel Quillen?

Daniel Quillen is affiliated with the following schools:

Harvard University