# Dennis Sullivan

#1,332

Most Influential Person Now

American mathematician

## Dennis Sullivan's AcademicInfluence.com Rankings

Dennis Sullivanmathematics Degrees

Mathematics

#64

World Rank

#191

Historical Rank

#22

USA Rank

Algebraic Topology

#6

World Rank

#9

Historical Rank

#4

USA Rank

Measure Theory

#274

World Rank

#431

Historical Rank

#120

USA Rank

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Mathematics

## Dennis Sullivan's Degrees

- PhD Mathematics Princeton University
- Bachelors Mathematics Rice University

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## Why Is Dennis Sullivan Influential?

(Suggest an Edit or Addition)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.

## Dennis Sullivan's Published Works

### Published Works

- Infinitesimal computations in topology (1977) (1488)
- Real homotopy theory of Kähler manifolds (1975) (913)
- The density at infinity of a discrete group of hyperbolic motions (1979) (768)
- On the dynamics of rational maps (1983) (728)
- Solution of the Fatou - Julia problem on wandering domains (1985) (501)
- Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups (1984) (448)
- The convergence of circle packings to the Riemann mapping (1987) (410)
- On The Ergodic Theory at Infinity of an Arbitrary Discrete Group of Hyperbolic Motions (1981) (385)
- Cycles for the dynamical study of foliated manifolds and complex manifolds (1976) (373)
- String Topology (1999) (314)
- Genetics of homotopy theory and the Adams conjecture (1974) (293)
- Conformal dynamical systems (1983) (261)
- The homology theory of the closed geodesic problem (1976) (244)
- Related aspects of positivity in Riemannian geometry (1987) (243)
- Quasiconformal homeomorphisms and dynamics II: Structural stability implies hyperbolicity for Kleinian groups (1985) (239)
- Function theory, random paths and covering spaces (1984) (226)
- Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics (1982) (207)
- Symmetric structures on a closed curve (1992) (205)
- Currents, flows and diffeomorphisms (1975) (198)
- Quasiconformal Homeomorphisms and Dynamics III. The Teichmüller Space of a Holomorphic Dynamical System (1998) (182)
- The Dirichlet problem at infinity for a negatively curved manifold (1983) (179)
- Quasiconformal 4-manifolds (1989) (166)
- Combinatorial invariants of analytic spaces (1971) (159)
- Discrete conformal groups and measurable dynamics (1982) (155)
- HYPERBOLIC GEOMETRY AND HOMEOMORPHISMS (1979) (152)
- On the iteration of a rational function: Computer experiments with Newton's method (1983) (142)
- Teichmüller theory and the universal period mapping via quantum calculus and the H^1/2 space on the circle (1993) (139)
- Expanding endomorphisms of the circle revisited (1985) (129)
- Closed String Operators in Topology Leading to Lie Bialgebras and Higher String Algebra (2002) (128)
- A topological invariant of flows on 1-dimensional spaces (1975) (126)
- A remark on the Lefschetz fixed point formula for differentiable maps (1974) (125)
- Extending holomorphic motions (1986) (124)
- The Transversality Characteristic Class and Linking Cycles in Surgery Theory (1974) (120)
- Axiomatic characterization of ordinary differential cohomology (2007) (101)
- Travaux de Thurston sur les groupes quasi-fuchsiens et les variétés hyperboliques de dimension $3$ fibrées sur $S^1$ (1981) (99)
- Geometric Topology: Localization, Periodicity and Galois Symmetry: The 1970 MIT Notes (2005) (98)
- 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) (89)
- 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) (81)
- Triangulating homotopy equivalences (1965) (77)
- Quasiconformal mappings, operators on hilbert space, and local formulae for characteristic classes☆ (1994) (77)
- Structured Vector Bundles Define Differential K-Theory (2008) (74)
- On the Hauptvermutung for manifolds (1967) (66)
- Open and Closed String field theory interpreted in classical Algebraic Topology (2003) (66)
- On the Kervaire Obstruction (1971) (61)
- FOLIATIONS WITH ALL LEAVES COMPACT (1977) (60)
- Triangulating and Smoothing Homotopy Equivalences and Homeomorphisms. Geometric Topology Seminar Notes (1996) (60)
- Nilpotent bases for distributions and control systems (1984) (60)
- Triangulating and smoothing homotopy equivalences and homeomorphisms (1967) (60)
- GEOMETRY OF LEAVES (1981) (56)
- A foliation of geodesics is characterized by having no “tangent homologies” (1978) (55)
- Geometric periodicity and the invariants of manifolds (1971) (49)
- A generalization of milnor's inequality concerning affine foliations and affine manifolds (1976) (49)
- 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) (42)
- On the locally branched Euclidean metric gauge (2002) (40)
- Infinity structure of Poincaré duality spaces (2003) (37)
- Quasiconformal Homeomorphisms in Dynamics , Topology , and Geometry (2010) (36)
- Topological conjugacy of circle diffeomorphisms (1995) (34)
- A formula for topology/deformations and its significance (2006) (33)
- Estimating small eigenvalues of Riemann surfaces (1987) (33)
- The homotopy invariance of the string topology loop product and string bracket (2005) (33)
- Generic dynamics and monotone complete C*-algebras (1986) (32)
- Brownian motion and harmonic functions on the class surface of the thrice punctured sphere (1984) (31)
- Genericity theorems in topological dynamics (1975) (30)
- WANDERING DOMAINS AND INVARIANT CONFORMAL STRUCTURES FOR MAPPINGS OF THE 2-TORUS (1996) (29)
- Determinant bundles, quillen metrics and mumford isomorphisms over the universal commensurability teichmüller space (1995) (28)
- On conformal welding homeomorphisms associated to Jordan curves (1990) (26)
- Expanding direction of the period doubling operator (1991) (26)
- A new flow (1976) (25)
- The Euler characteristic of an affine space form is zero (1975) (24)
- p-universal spaces and rational homotopy types (1998) (23)
- 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)
- A semi-local combinatorial formula for the signature of a $4k$-manifold (1976) (21)
- Rational ergodicity of geodesic flows (1984) (20)
- Biophysical Effects and Ground Force of the Baldree Traffic Simulator (2013) (19)
- A free differential Lie algebra for the interval (2006) (18)
- Localization, Periodicity, and Galois Symmetry (1970) (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)
- On the measurable dynamics of z → ez (1985) (12)
- Lacunary series as quadratic dif-ferentials in conformal dynamics (1994) (12)
- Differential Characters for K-theory (2012) (12)
- Formules locales pour les classes de Pontrjagin topologiques (1993) (11)
- Related Aspects of Positivity: λ-Potential Theory on Manifolds, Lowest Eigenstates, Hausdorff Geometry, Renormalized Markoff Processes… (1986) (10)
- Infinite cascades of braids and smooth dynamical systems (1994) (10)
- Variation of the Green function on Riemann surfaces and Whitney’s holomorphic stratification conjecture (1988) (9)
- René Thom’s work on geometric homology and bordism (2004) (9)
- The Hauptvermutung book : a collection of papers of the topology of manifolds (1996) (9)
- On the regular neighborhood of a two-sided submanifold (1970) (8)
- Inside and Outside Manifolds (2010) (7)
- On geometrically finite branched coverings ∗ II . Realization of rational maps † (2003) (7)
- String Topology in Dimensions Two and Three (2009) (7)
- Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs (2008) (7)
- 3D incompressible fluids: Combinatorial models, Eigenspace models, and a conjecture about well-posedness of the 3D zero viscosity limit (2014) (6)
- Dynamical Systems Applied to Asymptotic Geometry (2005) (6)
- The Mayer-Vietoris Property in Differential Cohomology (2010) (5)
- The Cumulant Bijection and Differential Forms (2014) (4)
- ON LIFTING AUTOMORPHISMS OF MONOTONE σ-COMPLETE C*-ALGEBRAS (1981) (4)
- Transverse string topology and the cord algebra (2012) (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)
- To appear in: Acta Mathematica DETERMINANT BUNDLES, QUILLEN METRICS, AND MUMFORD ISOMORPHISMS OVER THE UNIVERSAL COMMENSURABILITY TEICHMÜLLER SPACE 1 (1996) (1)
- Quantitative towers in finite difference calculus approximating the continuum (2020) (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)
- Stratmann, Bernd O. (4-STAN) Weak singularity spectra of the Patterson measure for geometrically finite Kleinian groups with parabolic elements. (2001) (1)
- METRIC CURRENTS AND DIFFERENTIABLE STRUCTURES (2010) (1)
- Geometry on all prime Three Manifolds (2019) (1)
- ON COMPACT THREE MANIFOLDS (2001) (0)
- A stratified rational homology manifold version of the Atiyah-Bott fixed point theorem. (2005) (0)
- Structured Vector Bundles Define Differential K-Theory (2008) (0)
- Lattice Hydrodynamics (2018) (0)
- Simplicity Is the Point (2017) (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)
- Structure of k-cycles on a k-dimensional Space (2012) (0)
- Universal Hodge Bundle and Mumford Isomorphisms on the Abelian Inductive Limit of Teichm\"uller Spaces (1994) (0)
- The visible invisible object : a photographic enquiry 'recording' a lived life (2011) (0)
- Relation entre l'appétit, le poids et la mortalité chez les personnes âgées vivant en institution (2002) (0)
- Helvetici p-universal spaces and rational homotopy types (1997) (0)
- Formation de jonctions de soudage stables entre des métaux différents (1987) (0)
- Development of New Composites; Ceramic Bonded Carbon (2009) (0)
- Strings, Fields and Topology (2009) (0)
- Structure on the top homology and related algorithms (2012) (0)
- Rokhlin’s theorem, a problem and a conjecture (2021) (0)
- Complément to the Thurston 3D-geometrization picture (2022) (0)
- Renormalization, Zygmund Smoothness and the Epstein Class (1991) (0)
- K T ] 19 M ar 2 01 8 Characters for Complex Bundles and their Connections (2018) (0)
- Bounded Structure of Infinitely Renormalizable Mappings (2017) (0)
- The Mathematical Work of Curt McMullen (2007) (0)
- Memories of Raoul Bott (2017) (0)
- Homology classes composed of infinitely many unstable manifolds of a dynamical system (1975) (0)
- The Atiyah Singer Index Theorem and Chern Weil Forms (2010) (0)

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## What Schools Are Affiliated With Dennis Sullivan?

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