Jim Stasheff | Academic Influence

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Jim Stasheff

Mathematics

#1124

World Rank

#1900

Historical Rank

#481

USA Rank

Algebraic Topology

#14

World Rank

#20

Historical Rank

#11

USA Rank

Algebra

#74

World Rank

#123

Historical Rank

#21

USA Rank

Measure Theory

#1183

World Rank

#1508

Historical Rank

#428

USA Rank

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Mathematics

Jim Stasheff's Degrees

PhD Mathematics Princeton University
Masters Mathematics Princeton University
Bachelors Mathematics Princeton University

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Why Is Jim Stasheff Influential?

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According to Wikipedia, James Dillon Stasheff is an American mathematician, a professor emeritus of mathematics at the University of North Carolina at Chapel Hill. He works in algebraic topology and algebra as well as their applications to physics.

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Jim Stasheff'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

Homotopy associativity of $H$-spaces. II (1963) (1397)
Introduction to SH Lie algebras for physicists (1992) (666)
Operads in algebra, topology, and physics (2002) (624)
H-Spaces from a Homotopy Point of View (1970) (274)
The Lie algebra structure of tangent cohomology and deformation theory (1985) (273)
Obstructions to homotopy equivalences (1979) (225)
Perturbation Theory in Dierential Homological Algebra II (1989) (211)
Differential homological algebra and homogeneous spaces (1974) (173)
A classification theorem for fibre spaces (1963) (173)
On operad structures of moduli spaces and string theory (1993) (137)
Lectures on characteristic classes (1957) (129)
The intrinsic bracket on the deformation complex of an associative algebra (1993) (128)
Twisted Differential String and Fivebrane Structures (2009) (121)
Homotopy Algebras Inspired by Classical Open-Closed String Field Theory (2004) (121)
L ∞ -Algebra Connections and Applications to String- and Chern-Simons n-Transport (2008) (120)
Applications of perturbation theory to iterated fibrations (1987) (116)
Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map (1984) (110)
The sh Lie Structure of Poisson Brackets in Field Theory (1997) (108)
On the de Rham theory of certain classifying spaces (1976) (100)
Deformation theory and rational homotopy type (2012) (97)
Cech cocycles for differential characteristic classes -- An infinity-Lie theoretic construction (2010) (92)
sh-Lie Algebras Induced by Gauge Transformations (2000) (88)
Differential graded Lie algebras, quasi-hopf algebras and higher homotopy algebras (1992) (87)
Algebraic aspects of Chen's twisting cochain (1990) (68)
Even Symplectic Supermanifolds and Double Field Theory (2014) (67)
FORMAL SOLUTION OF THE MASTER EQUATION VIA HPT AND DEFORMATION THEORY (1999) (67)
Constrained Poisson algebras and strong homotopy representations (1988) (63)
Associahedra, tamari lattices and related structures : Tamari memorial festschrift (2012) (57)
Closed string field theory, strong homotopy Lie algebras and the operad actions of moduli space (1993) (54)
Open-closed homotopy algebra in mathematical physics (2005) (53)
Fivebrane Structures (2008) (52)
Differential twisted String and Fivebrane structures (2009) (49)
Associahedra, Tamari Lattices and Related Structures (2012) (49)
Continuous cohomology of groups and classifying spaces (1978) (48)
Operads: Proceedings of Renaissance Conferences (1997) (47)
On homotopy Abelian H-spaces (1961) (47)
Noether's variational theorem II and the BV formalism (2002) (47)
Review: Raoul Bott and Loring W. Tu, Differential forms in algebraic topology (1984) (46)
DEFORMATION THEORY AND THE BATALIN-VILKOVISKY MASTER EQUATION (1997) (44)
The first exotic class of BF (1965) (43)
Characteristic Classes. (Am-76), Volume 76 (1962) (36)
Rational Poincaré duality spaces (1983) (34)
Deformation Theory via Deviations (1994) (33)
Deformation theory and quantum groups with applications to mathematical physics : proceedings of an AMS-IMS-SIAM 1990 joint summer research conference held June 14-20 at the University of Massachusetts, Amherst, with support from the National Science Foundation (1992) (33)
Manifolds of the homotopy type of (non-Lie) groups (1969) (32)
The evaluation map in field theory, sigma-models and strings I (1987) (30)
Homological reduction of constrained Poisson algebras (1996) (30)
The evaluation map in field theory, sigma-models and strings—II (1987) (29)
The (Secret?) homological algebra of the Batalin-Vilkovisky approach (1997) (29)
Higher homotopy structures in topology and mathematical physics : proceedings of an international conference June 13-15, 1996 at Vassar College, Poughkeepsie, New York, to honor the sixtieth birthday of Jim Stasheff (1999) (26)
Solutions to gauge field equations in eight dimensions. conformal invariance and the last Hopf map (1989) (17)
Lie groups from a homotopy point of view (1974) (17)
HOMOLOGICAL (GHOST) APPROACH TO CONSTRAINED HAMILTONIAN SYSTEMS (1991) (15)
Homology of moduli spaces of curves and commutative homotopy algebras (1995) (15)
Homology of Moduli of Curves and Commutative Homotopy Algebras (1996) (14)
Invitation to composition (1999) (13)
Homotopy Transition Cocycles (2006) (12)
A construction of a universal connection (2012) (11)
A∞-actions and recognition of relative loop spaces (2016) (11)
An almost groupoid structure for the space of (open) strings and implications for string field theory (1989) (11)
Homotopy algebra of open-closed strings (2006) (10)
Associated fibre spaces. (1968) (10)
ON EXTENSIONS OF H-SPACES (1962) (10)
A twisted tale of cochains and connections (2009) (9)
Solutions to Yang-Mills field equations in eight dimensions and the last Hopf map (1985) (9)
De rham theory for bΓ (1978) (9)
Parallel transport and classification of fibrations (1974) (8)
How I ‘met’ Dov Tamari (2012) (8)
Sphere bundles over spheres as H-spaces mod p>2 (1971) (8)
L-infinity and A-infinity structures (2019) (7)
Rational homotopy-obstruction and perturbation theory (1978) (7)
Grafting Boardman's Cherry Trees to Quantum Field Theory (1998) (7)
LAX OPERAD ACTIONS AND COHERENCE FOR MONOIDAL N -CATEGORIES, A∞ RINGS AND MODULES (1997) (7)
FAMILIES OF H-SPACES (1971) (7)
Towards A Closed String Field Theory: Topology And Convolution Algebra (1992) (7)
More characteristic classes for spherical fibre spaces (1968) (7)
On the BV Formalism (2005) (6)
L ∞ and A ∞-structures : then and now (6)
H-space problems (1971) (6)
Suspension, automorphisms, and division algebras (1973) (5)
Torsion in BBSO (1969) (5)
2. Vector Bundles (1974) (5)
$L_\infty$ and $A_\infty$ structures: then and now (2018) (4)
Poisson homotopy algebra: An idiosyncratic survey of homotopy algebraic topics related to Alan’s interests (2005) (4)
Constrained Hamiltonians an introduction to homological algebra in field theoretical physics (1988) (3)
Operads : proceedings of renaissance conferences : special session and international conference on moduli spaces, operads, and representation theory/operads and Homotopy Algebra, March 1995/May-June 1995, Hartford, Connecticut/Luminy, Franc (1997) (3)
From diﬀerential crossed modules to tensor hierarchies (2021) (3)
"Parallel" transport - revisited (2011) (3)
BSJ does not map correctly into BSF mod 2 (1972) (3)
The mod p decomposition of lie groups (1974) (3)
A SURVEY OF COHOMOLOGICAL PHYSICS (1999) (3)
L-infinity and A-infinity structures: then and now (2019) (3)
On the space-of-loops isomorphism (1959) (3)
On the Hodge decomposition of differential graded bi-algebras (2001) (2)
$L_\infty$-algebra extensions of Leibniz algebras (2020) (2)
Appendix C: Connections, Curvature, and Characteristic Classes (1974) (2)
Algebra structures on hom(C,L) (1999) (2)
Homotopy Coherent Representations (2022) (1)
Raoul Bott As We Knew Him (2010) (1)
The Resurgence of L∞ structures in field theory (2021) (1)
Twisted Differential String and Fivebrane Structures (2012) (1)
Families of finite H-complexes — Revisited (1971) (1)
How Dennis realized he had `invented' $L_\infty$-algebras a.k.a. strongly homotopy Lie algebras (2016) (1)
The bar construction spectral sequence (1970) (1)
$A_\infty$-actions and Recognition of Relative Loop Spaces (2013) (1)
Representations up to coherent homotopy (2022) (0)
10. The Thom Isomorphism Theorem (1974) (0)
UNC-MATH-97-1 HOMOLOGICAL REDUCTION OF CONSTRAINED POISSON ALGEBRAS (1997) (0)
13. Complex Vector Bundles and Complex Manifolds (1974) (0)
H-spaces which are finite complexes (1970) (0)
Structure on BX (1970) (0)
16. Chern Numbers and Pontrjagin Numbers (1974) (0)
A twice twisted tale (2018) (0)
Infinite loop spaces (1970) (0)
The projective plane (1970) (0)
L ∞ in physics and in Georgia (2019) (0)
5. Grassmann Manifolds and Universal Bundles (1974) (0)
Maps into an H-space: Algebraic structure, inverses, other multiplications, etc (1970) (0)
H-space newsletter — May, 1974 (1974) (0)
Appendix A: Singular Homology and Cohomology (1974) (0)
Maps of H-spaces (1970) (0)
Lie ∞-algebra connections and their application to String-and Chern-Simons n-Transport Part I : Overview and physical applications (2008) (0)
§7. The Cohomology Ring H*(Gn; Z/2) (1974) (0)
The Hopf construction (1970) (0)
Infinite loop spaces — An historical survey (1971) (0)
20. Combinatorial Pontrjagin Classes (1974) (0)
17. The Oriented Cobordism Ring Ω (1974) (0)
Homology. Saunders MacLane. Springer, Berlin; Academic Press, New York, 1963. x + 422 pp. Illus. $15.50 (1964) (0)
11. Computations in a Smooth Manifold (1974) (0)
Topology – review of classical results (2007) (0)
$BSJ$ does not map correctly into $BSF$ ${\text{MOD}}$ 2 (1971) (0)
From Lie algebra crossed modules to tensor hierarchies (2020) (0)
§8. Existence of Stiefel-Whitney Classes (1974) (0)
Mathematics: Homology . Saunders MacLane. Springer, Berlin; Academic Press, New York, 1963. x + 422 pp. Illus. $15.50. (1964) (0)
The physics of “ particles of spin ≤ 2 ” leads to representations of a Lie algebra Ξ of gauge parameters on a vector space Φ of fields (2001) (0)
XII. Deformation Theory and The Little Constructions of Cartan and Moore (1988) (0)
Operads in a symmetric monoidal category (2007) (0)
Appendix B: Bernoulli Numbers (1974) (0)
19. Multiplicative Sequences and the Signature Theorem (1974) (0)
How Dennis and I intersected (2013) (0)
Spaces induced by H-maps (1970) (0)
Lie ∞-algebra connections and their application to String-and Chern-Simons n-Transport Part II (2008) (0)
6. A Cell Structure for Grassmann Manifolds (1974) (0)
Alexandre Mikhailovich Vinogradov (2020) (0)
Differentials in the bar construction (1970) (0)
14. Chern Classes (1974) (0)
9. Oriented Bundles and the Euler Class (1974) (0)
Even Symplectic Supermanifolds and Double Field Theory (2015) (0)
Massey products and generalized bar construction (1970) (0)
3. Constructing New Vector Bundles Out of Old (1974) (0)
The Pre-History Of Operads (1996) (0)
Associativity: Loop spaces and topological groups (1970) (0)
Parallel transport, holonomy and all that - a homotopy point of view (2011) (0)
1. Smooth Manifolds (1974) (0)
Generalization of operads (2007) (0)
Brackets by any other name (2021) (0)
Operations in iterated loop spaces (1970) (0)
18. Thom Spaces and Transversality (1974) (0)
15. Pontrjagin Classes (1974) (0)
May 23, 2009 COHOMOLOGICAL PHYSICS IN THE XXTH CENTURY: A SURVEY (2009) (0)
§4. Stiefel-Whitney Classes (1974) (0)
Preprint RIMS-936 hep-th/9307114 ON OPERAD STRUCTURES OF MODULI SPACES AND STRING THEORY (1998) (0)
On certain problems in homotopy theory (1960) (0)

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