Frederick R. Cohen

Frederick R. Cohen's AcademicInfluence.com Rankings

Frederick R. Cohen

Mathematics

#3655

World Rank

#5357

Historical Rank

#1335

USA Rank

Measure Theory

#2740

World Rank

#3272

Historical Rank

#790

USA Rank

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Mathematics

Why Is Frederick R. Cohen Influential?

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According to Wikipedia, Frederick Ronald Cohen was an American mathematician working in algebraic topology. Education and career Fred Cohen was born in 1945 in Chicago. He received a BA from Brandeis University in 1967 and a PhD from the University of Chicago in 1972. He taught at the University of Northern Illinois until 1979 and then at the University of Kentucky. In 1989, he settled at the University of Rochester, where he spent the rest of his career.

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Frederick R. Cohen'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

The homology of Cn+1-Spaces, n≥0 (1976) (229)
The Homology of Iterated Loop Spaces (1976) (224)
The polyhedral product functor: a method of computation for moment-angle complexes, arrangements and related spaces (2007) (199)
Torsion in Homotopy Groups (1979) (199)
The double suspension and exponents of the homotopy groups of spheres (1979) (155)
Splitting of certain spaces CX (1978) (100)
The topology of rational functions and divisors of surfaces (1991) (99)
Computations of gelfand-fuks cohomology, the cohomology of function spaces, and the cohomology of configuration spaces (1978) (67)
A course in some aspects of classical homotopy theory (1987) (65)
Configurations, braids, and homotopy groups (2005) (63)
On loop spaces of configuration spaces (2002) (62)
Operations on polyhedral products and a new topological construction of infinite families of toric manifolds (2010) (62)
Basis-conjugating automorphisms of a free group and associated Lie algebras (2006) (57)
Commuting elements, simplicial spaces and filtrations of classifying spaces (2008) (53)
On configuration spaces, their homology, and Lie algebras (1995) (51)
Not every number is the sum or difference of two prime powers (1975) (50)
A construction of p-local H-spaces (1984) (48)
ON THE HOMOLOGY OF CONFIGURATION SPACES (1989) (48)
Commuting elements and spaces of homomorphisms (2006) (44)
Cohomology of braid spaces (1973) (43)
Sensor Beams, Obstacles, and Possible Paths (2008) (39)
The unstable decomposition ofΩ2∑2Xand its applications (1983) (39)
On combinatorial group theory in homotopy (1995) (38)
Truncated symmetric products and configuration spaces (1993) (36)
$k$-regular embeddings of the plane (1978) (36)
On the homology of the space of knots (2005) (36)
Braid orientations and bundles with flat connections (1978) (35)
Gait Transitions for Quasi-static Hexapedal Locomotion on Level Ground (2009) (34)
THE STABLE DECOMPOSITION FOR THE DOUBLE LOOP SPACE OF A SPHERE (1978) (33)
James maps, Segal maps, and the Kahn-Priddy theorem (1984) (33)
Decompositions of the polyhedral product functor with applications to moment-angle complexes and related spaces (2009) (29)
Mapping Class Groups of Low Genus and Their Cohomology (1991) (29)
ARTIN'S BRAID GROUPS, FREE GROUPS, AND THE LOOP SPACE OF THE 2-SPHERE (2004) (28)
Stable splittings, spaces of representations and almost commuting elements in Lie groups (2010) (27)
I. Exponents in Homotopy Theory (1988) (26)
On the Mapping Class Groups for Punctured Spheres, the Hyperelliptic Mapping Class Groups, SO(3), and Spin c (3) (1993) (26)
Cup-products for the polyhedral product functor (2012) (26)
Mapping class groups and function spaces (1988) (25)
Self-maps of loop spaces. II (1986) (24)
Two-primary analogues of Selick's theorem and the Kahn-Priddy theorem for the 3-sphere (1984) (23)
On the Representation Theory Associated to the Cohomology of Configuration Spaces (2006) (22)
Configuration-like spaces and the Borsuk-Ulam theorem (1976) (21)
Algebraic Topology Homotopy and Group Cohomology (1992) (21)
Splitting certain suspensions via self-maps (1976) (21)
Splitting of some more spaces (1979) (21)
Advances in Homotopy Theory: Applications of loop spaces to some problems in topology (1989) (20)
Rational cohomology of configuration spaces of surfaces (1988) (20)
Orbit configuration spaces associated to discrete subgroups of PSL(2,R) (2003) (20)
Flag Manifolds and the Landweber – Novikov Algebra (1998) (20)
Commuting elements in central products of special unitary groups (2009) (19)
INTRODUCTION TO CONFIGURATION SPACES AND THEIR APPLICATIONS (2009) (19)
On the Whitehead square , Cayley - Dickson algebras , and rational functions (1992) (18)
Bundles over configuration spaces. (1983) (18)
The homotopy type of rational functions (1993) (17)
LIE ALGEBRAS ASSOCIATED TO FIBER-TYPE ARRANGEMENTS (2000) (17)
Decompositions of loop spaces and applications to exponents (1979) (17)
On representations and K-theory of the braid groups (2001) (17)
Combinatorial Filters (2014) (17)
A coincidence theorem related to the Borsuk-Ulam theorem (1974) (16)
CHAPTER 24 – Fibration and Product Decompositions in Nonstable Homotopy Theory (1995) (16)
Note on desuspending the Adams map (1986) (16)
Estimation and Registration on Graphs (2010) (15)
A Survey on Spaces of Homomorphisms to Lie Groups (2014) (15)
Configuration spaces: applications to Gelfand-Fuks cohomology (1978) (15)
On orbit configuration spaces associated to the Gaussian integers: Homotopy and homology groups (2002) (15)
Loop spaces of configuration spaces,braid-like groups, and knots (2001) (15)
On the cohomology of Young modules for the symmetric group (2008) (14)
K(Z, 0)AND K(Z2, 0)AS THOM SPECTRA (1981) (14)
On braid groups and homotopy groups (2009) (14)
On spaces of commuting elements in Lie groups† (2014) (13)
Homology of $\Omega ^{n + 1} \Sigma ^{n + 1} X$ and $C_{n + 1} X,n > 0$ (1973) (13)
$K(Z,O)$ and $K(Z_{2},O)$ as Thom spectra (1981) (13)
On the Andreadakis-Johnson filtration of the automorphism group of a free group (2010) (13)
TWO RESULTS ON THE 2 -LOCAL EHP SPECTRAL SEQUENCE (1995) (13)
Cup-products in generalized moment-angle complexes (2010) (12)
Commuting elements and spaces of homomorphisms (2007) (12)
Polyhedral products and features of their homotopy theory (2019) (12)
SPLITTINGS OF TWO FUNCTION SPACES (1990) (12)
On the homology of certain spaces looped beyond their connectivity (1989) (11)
Integral Brown-Gitler spectra (1988) (11)
Centralizers of Lie Algebras Associated to the Descending Central Series of Certain Poly-Free Groups (2006) (11)
On injective homomorphisms for pure braid groups, and associated Lie algebras (2004) (11)
Braids : introductory lectures on braids, configurations and their applications (2009) (11)
JAMES MAPS AND En RING SPACES (1984) (10)
THE COHOMOLOGY OF THE BRAID GROUP B3 AND OF SL2(ℤ) WITH COEFFICIENTS IN A GEOMETRIC REPRESENTATION (2012) (10)
Book Review: Complements of discriminants of smooth maps\/}: {\it Topology and applications (1994) (9)
Homology of function spaces (1988) (9)
A stable splitting for the mapping class group. (1988) (9)
On the rational type of moment-angle complexes (2012) (9)
III. The Space of Maps of Moore Spaces Into Spheres (1988) (8)
Coincidence point results for spaces with free _{}-actions (1975) (8)
On Complex Highly Regular Embeddings and the Extended Vassiliev Conjecture (2014) (8)
Artin's braid group and the homology of certain subgroups of the mapping class group (1991) (8)
A spectral sequence for polyhedral products (2015) (7)
Some remarks on the space Im J (1989) (6)
The stable braid group and the determinant of the Burau representation (2005) (6)
The KO*-rings of BT^m, the Davis-Januszkiewicz Spaces and certain toric manifolds (2010) (6)
The mod 2 cohomology of the mapping class group for a surface of genus two (1991) (5)
A NEW TOPOLOGICAL CONSTRUCTION OF INFINITE FAMILIES OF TORIC MANIFOLDS IMPLYING FAN REDUCTION (2010) (5)
The Lie module and its complexity (2015) (5)
Remarks on the homotopy theory associated to perfect groups (1992) (5)
Homotopy Brunnian links and the $\kappa $-invariant (2012) (5)
A GENERALIZATION OF THE DAVIS-JANUSZKIEWICZ CONSTRUCTION AND APPLICATIONS TO TORIC MANIFOLDS AND ITERATED POLYHEDRAL PRODUCTS (2013) (5)
On The homotopy theory of p-completed classifying spaces (1997) (5)
On free loop spaces of toric spaces (2014) (4)
SUSPENSIONS OF STIEFEL MANIFOLDS (1984) (4)
Configurations and parallelograms associated to centers of mass (2006) (4)
On decomposing suspensions of simplicial spaces (2009) (4)
Remarks Concerning Lubotzky's Filtration (2007) (4)
On mapping class groups from a homotopy theoretic point of view (1996) (4)
On the degree 2 map for a sphere (2005) (3)
Note on higher torsion in the homotopy groups of single suspensions (1980) (3)
Configuration Spaces : Geometry, Topology and Representation Theory (2016) (3)
Equivariant Cohomology of Configuration Spaces mod 2: The State of the Art (2020) (3)
A combinatorial approach to the exponents of Moore spaces (2015) (3)
The homology of SF(n+1) (1976) (3)
Bounds on Multiple Sensor Fusion (2014) (3)
On problems concerning moment-angle complexes and polyhedral products (2014) (2)
ON STABLE HOMOTOPY EQUIVALENCES (1995) (2)
New washable woolskins. (1970) (2)
ON "SMALL GEODESICS" AND FREE LOOP SPACES (2008) (2)
The mod 2 equivariant cohomology algebras of configuration spaces -- revised (2020) (2)
The geometric realization of monomial ideal rings and a theorem of Trevisan (2013) (2)
Equivariant Cohomology of Configuration Spaces Mod 2 (2021) (1)
REPRESENTING POSITIVE HOMOLOGY CLASSES OF CP 2 # 2 CP 2 AND CP 2 # 3 CP 2 (2010) (1)
On Braid Groups, Homotopy Groups, and Modular Forms (2004) (1)
ON THE LINEARITY OF THE HOLOMORPH GROUP OF A FREE GROUP ON TWO GENERATORS (2009) (1)
COMBINATORIAL MODELS FOR ITERATED LOOP SPACES (1)
REPRESENTING POSITIVE HOMOLOGY CLASSES OF CP2#2CP2 AND CP2#3CP2 (2010) (1)
COHOMOLOGY OF BRAIDS, PRINCIPAL CONGRUENCE SUBGROUPS AND GEOMETRIC REPRESENTATIONS (2012) (1)
ON CONFIGURATION SPACES : PART 2 (2007) (1)
On the free loop spaces of a toric space (2017) (1)
Mapping class groups and function spaces: a survey (2014) (0)
NONREALIZABILITY OF SUBALGEBRAS OF 21* (2010) (0)
On Highly Regular Embeddings: Revised (2021) (0)
The Equivariant Cohomology of $${\mathrm {Pe}(\mathbb {R}^{d} ,2^m)}$$ (2021) (0)
Infinite families of higher torsion in the homotopy groups of Moore spaces (2021) (0)
Homotopy string links and the κ ‐invariant (2015) (0)
On the Holomorph of a Discrete Group Curriculum Vitae and Naomi Jochnowitz for Their Excellent Courses in Topology and Algebra. Finally, I Thank My Friends (2004) (0)
Compositions for polynukleotidabgabe (1997) (0)
A GENERALIZATION OF THE HANDLE ADDITION (2010) (0)
A note concerning the v 1 -periodic homotopy of odd spheres (1990) (0)
a-INVARIANT AND S1 ACTIONS (2016) (0)
JAMES MAPS, SEGAL MAPS, (2016) (0)
THE SECOND NORMAL BORDISM GROUP OF A SPACE PAIR (2010) (0)
Errata and addenda to [A],[G], and [G’] (1976) (0)
ON DIFFEOMORPHISMS OVER T2 -KNOTS (2010) (0)
MAXIMUM-LIKELIHOOD REGISTRATION OF NETWORKS∗ (2016) (0)
More Bounds for Highly Regular Embeddings (2021) (0)
Algebraic topology: homotopy and group cohomology : proceedings of the 1990 Barcelona Conference on Algebraic Topology, held in S. Feliu de Guíxols, Spain, June 6-12, 1990 (1992) (0)
On the Holomorph of a Discrete Group Curriculum Vitae and Naomi Jochnowitz for Their Excellent Courses in Topology and Algebra. Finally, I Thank My Friends (2004) (0)
Equivariant Topology of Configuration Spaces (2014) (0)
Hu’ng’s Injectivity Theorem (2021) (0)
On Schur Algebras and Derivations of Free Lie Algebras (2022) (0)
A survey of some recent results concerning polyhedral products (2012) (0)
Concerning Lubotzky ’ s Filtration (2010) (0)
FUNCTORIAL DECOMPOSITIONS OF LOOP SPACES OF SUSPENSIONS , AND THEIR RELATION TO REPRESENTATION THEORY (2000) (0)
On monomial ideal rings and a theorem of Trevisan (2012) (0)
ERRATUM FOR COMMUTING ELEMENTS AND SPACES OF HOMOMORPHISMS (0)
The splitting of ω2 S 2n+1 (1987) (0)
The Ptolemaic Epicycles Embedding (2021) (0)
SIMPLICIAL SPACES OF HOMOMORPHISMS (0)
Configurations and parallelogramsassociated to centers of mass (2008) (0)
OrbitconfigurationspacesassociatedtodiscretesubgroupsofPSL.2;R/ (2009) (0)
On the rational type of moment-angle complexes (2014) (0)
Cohomological rigidity problem , topological toric manifolds and face numbers of simplicial cell manifolds (2011) (0)
HURWITZ THEOREM AND PARALLELIZABLE SPHERES FROM TENSOR ANALYSIS (2001) (0)
Franklin P. Peterson (1930–2000), Volume 48, Number 10 (2001) (0)
Q-INVARIANT AND Sl ACTIONS (2010) (0)
A combinatorial approach to the exponents of Moore spaces (2018) (0)
ORDER OF THE CANONICAL VECTOR BUNDLE OVER CONFIGURATION SPACES OF PROJECTIVE SPACES (0)
Orders of the canonical vector bundles over configuration spaces of finite graphs (2021) (0)
Snapshots from the History (2021) (0)
On the free loop spaces of a toric space (2016) (0)
CSU Choral Union and Philharmonic. [sound recording] : Ein Deutches Requiem, op. 45, November 3, 2008. (2008) (0)
MANIFOLDS WITH (Z2)*-ACTION (2010) (0)
Power to the Jocks THE ASP SPORTS JORDAN AND REID ELECTED CO-CAPTAINS (0)
Title ORDER OF THE CANONICAL VECTOR BUNDLE OVERCONFIGURATION SPACES OF PROJECTIVE SPACES (0)
THE RESTRICTED LIE ALGEBRA STRUCTURE ON THE BAR SPECTRAL SEQUENCE OF AN ITERATED LOOP SPACE (2022) (0)
The Stiefel–Whitney Classes of the Wreath Square of a Vector Bundle (2021) (0)

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