Dennis Sullivan | Academic Influence

Why Is Dennis Sullivan Influential?

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According to Wikipedia, Dennis Parnell Sullivan is an American mathematician known for his work in algebraic topology, geometric topology, and dynamical systems. He holds the Albert Einstein Chair at the City University of New York Graduate Center and is a distinguished professor at Stony Brook University.

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Dennis Sullivan'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 Papers

Infinitesimal computations in topology (1977) (1448)
Real homotopy theory of Kähler manifolds (1975) (885)
The density at infinity of a discrete group of hyperbolic motions (1979) (743)
On the dynamics of rational maps (1983) (714)
Solution of the Fatou - Julia problem on wandering domains (1985) (487)
Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups (1984) (435)
The convergence of circle packings to the Riemann mapping (1987) (401)
On The Ergodic Theory at Infinity of an Arbitrary Discrete Group of Hyperbolic Motions (1981) (375)
Cycles for the dynamical study of foliated manifolds and complex manifolds (1976) (363)
String Topology (1999) (308)
Genetics of homotopy theory and the Adams conjecture (1974) (290)
Conformal dynamical systems (1983) (257)
Quasiconformal homeomorphisms and dynamics II: Structural stability implies hyperbolicity for Kleinian groups (1985) (238)
The homology theory of the closed geodesic problem (1976) (235)
Related aspects of positivity in Riemannian geometry (1987) (231)
Function theory, random paths and covering spaces (1984) (220)
Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics (1982) (203)
Symmetric structures on a closed curve (1992) (196)
Currents, flows and diffeomorphisms (1975) (195)
Quasiconformal Homeomorphisms and Dynamics III. The Teichmüller Space of a Holomorphic Dynamical System (1998) (180)
The Dirichlet problem at infinity for a negatively curved manifold (1983) (173)
Quasiconformal 4-manifolds (1989) (162)
Combinatorial invariants of analytic spaces (1971) (154)
Discrete conformal groups and measurable dynamics (1982) (152)
HYPERBOLIC GEOMETRY AND HOMEOMORPHISMS (1979) (146)
On the iteration of a rational function: Computer experiments with Newton's method (1983) (141)
Teichmüller theory and the universal period mapping via quantum calculus and the H^1/2 space on the circle (1993) (131)
Closed String Operators in Topology Leading to Lie Bialgebras and Higher String Algebra (2002) (127)
Expanding endomorphisms of the circle revisited (1985) (127)
A topological invariant of flows on 1-dimensional spaces (1975) (124)
Extending holomorphic motions (1986) (122)
A remark on the Lefschetz fixed point formula for differentiable maps (1974) (119)
The Transversality Characteristic Class and Linking Cycles in Surgery Theory (1974) (119)
Axiomatic characterization of ordinary differential cohomology (2007) (98)
Geometric Topology: Localization, Periodicity and Galois Symmetry: The 1970 MIT Notes (2005) (97)
Travaux de Thurston sur les groupes quasi-fuchsiens et les variétés hyperboliques de dimension $3$ fibrées sur $S^1$ (1981) (96)
Differentiable Structures on Fractal Like Sets, Determined by Intrinsic Scaling Functions on Dual Cantor Sets (1988) (92)
A counterexample to the periodic orbit conjecture (1976) (88)
For $n > 3$ there is only one finitely additive rotationally invariant measure on the $n$-sphere defined on all Lebesgue measurable subsets (1981) (82)
On the intersection ring of compact three manifolds (1975) (80)
Triangulating homotopy equivalences (1965) (76)
Quasiconformal mappings, operators on hilbert space, and local formulae for characteristic classes☆ (1994) (76)
Structured Vector Bundles Define Differential K-Theory (2008) (67)
Open and Closed String field theory interpreted in classical Algebraic Topology (2003) (66)
On the Hauptvermutung for manifolds (1967) (65)
On the Kervaire Obstruction (1971) (61)
Nilpotent bases for distributions and control systems (1984) (59)
FOLIATIONS WITH ALL LEAVES COMPACT (1977) (59)
Triangulating and Smoothing Homotopy Equivalences and Homeomorphisms. Geometric Topology Seminar Notes (1996) (56)
GEOMETRY OF LEAVES (1981) (56)
Triangulating and smoothing homotopy equivalences and homeomorphisms (1967) (55)
A foliation of geodesics is characterized by having no “tangent homologies” (1978) (53)
Geometric periodicity and the invariants of manifolds (1971) (49)
A generalization of milnor's inequality concerning affine foliations and affine manifolds (1976) (48)
Singularities in spaces (1971) (48)
A finiteness theorem for cusps (1981) (47)
String Topology: Background and Present State (2007) (45)
Fibrés vectoriels complexes à groupe structural discret (1975) (40)
On the locally branched Euclidean metric gauge (2002) (37)
Infinity structure of Poincaré duality spaces (2003) (36)
Quasiconformal Homeomorphisms in Dynamics , Topology , and Geometry (2010) (34)
Estimating small eigenvalues of Riemann surfaces (1987) (33)
The homotopy invariance of the string topology loop product and string bracket (2005) (32)
A formula for topology/deformations and its significance (2006) (32)
Topological conjugacy of circle diffeomorphisms (1995) (32)
Generic dynamics and monotone complete C*-algebras (1986) (31)
Brownian motion and harmonic functions on the class surface of the thrice punctured sphere (1984) (31)
Genericity theorems in topological dynamics (1975) (29)
Determinant bundles, quillen metrics and mumford isomorphisms over the universal commensurability teichmüller space (1995) (28)
WANDERING DOMAINS AND INVARIANT CONFORMAL STRUCTURES FOR MAPPINGS OF THE 2-TORUS (1996) (28)
Expanding direction of the period doubling operator (1991) (26)
On conformal welding homeomorphisms associated to Jordan curves (1990) (26)
A new flow (1976) (25)
The Euler characteristic of an affine space form is zero (1975) (24)
An analytic proof of Novikov’s theorem on rational Pontrjagin classes (1983) (23)
Growth of positive harmonic functions and Kleinian group limit sets of zero planar measure and hausdorf dimension two In celebration of Nico Kuiper's sixtieth birthday (1981) (22)
p-universal spaces and rational homotopy types (1998) (22)
A semi-local combinatorial formula for the signature of a $4k$-manifold (1976) (21)
Rational ergodicity of geodesic flows (1984) (19)
Localization, Periodicity, and Galois Symmetry (1970) (18)
A free differential Lie algebra for the interval (2006) (18)
On the homology of attractors (1976) (18)
Exterior d, the Local Degree, and Smoothability (1996) (17)
Ground state and lowest eigenvalue of the Laplacian for non-compact hyperbolic surfaces (1986) (14)
The circle and the solenoid (2006) (13)
Lacunary series as quadratic dif-ferentials in conformal dynamics (1994) (12)
On the measurable dynamics of z → ez (1985) (12)
Formules locales pour les classes de Pontrjagin topologiques (1993) (11)
Infinite cascades of braids and smooth dynamical systems (1994) (10)
Related Aspects of Positivity: λ-Potential Theory on Manifolds, Lowest Eigenstates, Hausdorff Geometry, Renormalized Markoff Processes… (1986) (10)
René Thom’s work on geometric homology and bordism (2004) (9)
Variation of the Green function on Riemann surfaces and Whitney’s holomorphic stratification conjecture (1988) (9)
The Hauptvermutung book : a collection of papers of the topology of manifolds (1996) (9)
Differential Characters for K-theory (2012) (8)
On the regular neighborhood of a two-sided submanifold (1970) (8)
Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs (2008) (7)
Inside and Outside Manifolds (2010) (7)
String Topology in Dimensions Two and Three (2009) (7)
Dynamical Systems Applied to Asymptotic Geometry (2005) (6)
On geometrically finite branched coverings ∗ II . Realization of rational maps † (2003) (6)
3D incompressible fluids: Combinatorial models, Eigenspace models, and a conjecture about well-posedness of the 3D zero viscosity limit (2014) (6)
ON LIFTING AUTOMORPHISMS OF MONOTONE σ-COMPLETE C*-ALGEBRAS (1981) (4)
The Mayer-Vietoris Property in Differential Cohomology (2010) (4)
Transverse string topology and the cord algebra (2012) (4)
The Cumulant Bijection and Differential Forms (2014) (4)
Algebra, Topology and Algebraic Topology of 3D Ideal Fluids (2010) (3)
A Finite Time Blowup Result for Quadratic ODE’s (2010) (2)
Characters for Complex Bundles and their Connections (2018) (2)
Quantitative towers in finite difference calculus approximating the continuum (2020) (1)
METRIC CURRENTS AND DIFFERENTIABLE STRUCTURES (2010) (1)
Les Metamorphoses de la liberte, ou Stendhal devant la Restauration et le Risorgimento (1969) (1)
Generalized Euler classes, differential forms and commutative DGAs (2017) (1)
Geometry on all prime Three Manifolds (2019) (1)
Stratmann, Bernd O. (4-STAN) Weak singularity spectra of the Patterson measure for geometrically finite Kleinian groups with parabolic elements. (2001) (1)
To appear in: Acta Mathematica DETERMINANT BUNDLES, QUILLEN METRICS, AND MUMFORD ISOMORPHISMS OVER THE UNIVERSAL COMMENSURABILITY TEICHMÜLLER SPACE 1 (1996) (1)
Simplicity Is the Point (2017) (0)
Development of New Composites; Ceramic Bonded Carbon (2009) (0)
K T ] 19 M ar 2 01 8 Characters for Complex Bundles and their Connections (2018) (0)
Rokhlin’s theorem, a problem and a conjecture (2021) (0)
Memories of Raoul Bott (2017) (0)
Bounded Structure of Infinitely Renormalizable Mappings (2017) (0)
ON COMPACT THREE MANIFOLDS (2001) (0)
Renormalization, Zygmund Smoothness and the Epstein Class (1991) (0)
The Mathematical Work of Curt McMullen (2007) (0)
A counterexample to the periodic orbit conjecture . The Picard group of a scheme over anartin ring . Types topologiques des polynomes . On the congruence subgroup problem . Frobenius avec singulatités - 1. Condimension un (1976) (0)
Complément to the Thurston 3D-geometrization picture (2022) (0)
Structure on the top homology and related algorithms (2012) (0)
Relation entre l'appétit, le poids et la mortalité chez les personnes âgées vivant en institution (2002) (0)
Universal Hodge Bundle and Mumford Isomorphisms on the Abelian Inductive Limit of Teichm\"uller Spaces (1994) (0)
Formation de jonctions de soudage stables entre des métaux différents (1987) (0)
Helvetici p-universal spaces and rational homotopy types (1997) (0)
The visible invisible object : a photographic enquiry 'recording' a lived life (2011) (0)
Strings, Fields and Topology (2009) (0)
Structure of k-cycles on a k-dimensional Space (2012) (0)
A stratified rational homology manifold version of the Atiyah-Bott fixed point theorem. (2005) (0)
Homology classes composed of infinitely many unstable manifolds of a dynamical system (1975) (0)
Lattice Hydrodynamics (2018) (0)
Structured Vector Bundles Define Differential K-Theory (2008) (0)
The Atiyah Singer Index Theorem and Chern Weil Forms (2010) (0)

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