#3,565

Most Influential Person

American mathematician

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

- Infinitesimal computations in topology (1977) (1333)
- Real homotopy theory of Kähler manifolds (1975) (795)
- The density at infinity of a discrete group of hyperbolic motions (1979) (669)
- On the dynamics of rational maps (1983) (656)
- Solution of the Fatou - Julia problem on wandering domains (1985) (438)
- Entropy, Hausdorff measures old and new, and limit sets of geometrically finite Kleinian groups (1984) (400)
- The convergence of circle packings to the Riemann mapping (1987) (368)
- On The Ergodic Theory at Infinity of an Arbitrary Discrete Group of Hyperbolic Motions (1981) (342)
- Cycles for the dynamical study of foliated manifolds and complex manifolds (1976) (328)
- String Topology (1999) (290)
- Genetics of homotopy theory and the Adams conjecture (1974) (272)
- Conformal dynamical systems (1983) (233)
- Quasiconformal homeomorphisms and dynamics II: Structural stability implies hyperbolicity for Kleinian groups (1985) (221)
- Related aspects of positivity in Riemannian geometry (1987) (211)
- Function theory, random paths and covering spaces (1984) (207)
- The homology theory of the closed geodesic problem (1976) (207)
- Symmetric structures on a closed curve (1992) (192)
- Currents, flows and diffeomorphisms (1975) (186)
- Disjoint spheres, approximation by imaginary quadratic numbers, and the logarithm law for geodesics (1982) (184)
- Quasiconformal Homeomorphisms and Dynamics III. The Teichmüller Space of a Holomorphic Dynamical System (1998) (167)
- The Dirichlet problem at infinity for a negatively curved manifold (1983) (156)
- Quasiconformal 4-manifolds (1989) (151)
- Discrete conformal groups and measurable dynamics (1982) (144)
- Combinatorial invariants of analytic spaces (1971) (142)
- On the iteration of a rational function: Computer experiments with Newton's method (1983) (139)
- HYPERBOLIC GEOMETRY AND HOMEOMORPHISMS (1979) (139)
- A topological invariant of flows on 1-dimensional spaces (1975) (121)
- Teichmüller theory and the universal period mapping via quantum calculus and the H^1/2 space on the circle (1993) (120)
- Extending holomorphic motions (1986) (118)
- Expanding endomorphisms of the circle revisited (1985) (117)
- Closed String Operators in Topology Leading to Lie Bialgebras and Higher String Algebra (2004) (115)
- The Transversality Characteristic Class and Linking Cycles in Surgery Theory (1974) (114)
- A remark on the Lefschetz fixed point formula for differentiable maps (1974) (108)
- Geometric Topology: Localization, Periodicity and Galois Symmetry: The 1970 MIT Notes (2005) (91)
- Travaux de Thurston sur les groupes quasi-fuchsiens et les variétés hyperboliques de dimension $3$ fibrées sur $S^1$ (1981) (91)
- Differentiable Structures on Fractal Like Sets, Determined by Intrinsic Scaling Functions on Dual Cantor Sets (1988) (88)
- Axiomatic characterization of ordinary differential cohomology (2008) (85)
- For $n > 3$ there is only one finitely additive rotationally invariant measure on the $n$-sphere defined on all Lebesgue measurable subsets (1981) (82)
- A counterexample to the periodic orbit conjecture (1976) (82)
- Triangulating homotopy equivalences (1965) (71)
- On the intersection ring of compact three manifolds (1975) (71)
- FOLIATIONS WITH ALL LEAVES COMPACT (1977) (68)
- Quasiconformal mappings, operators on hilbert space, and local formulae for characteristic classes☆ (1994) (68)
- On the Hauptvermutung for manifolds (1967) (62)
- On the Kervaire Obstruction (1971) (61)
- Nilpotent bases for distributions and control systems (1984) (59)
- Structured Vector Bundles Define Differential K-Theory (2008) (54)
- Open and Closed String field theory interpreted in classical Algebraic Topology (2003) (54)
- A foliation of geodesics is characterized by having no “tangent homologies” (1978) (52)
- GEOMETRY OF LEAVES (1981) (52)
- Triangulating and Smoothing Homotopy Equivalences and Homeomorphisms. Geometric Topology Seminar Notes (1996) (51)
- Triangulating and smoothing homotopy equivalences and homeomorphisms (1967) (48)
- A generalization of milnor's inequality concerning affine foliations and affine manifolds (1976) (47)
- Singularities in spaces (1971) (46)
- A finiteness theorem for cusps (1981) (46)
- Geometric periodicity and the invariants of manifolds (1971) (46)
- String Topology: Background and Present State (2005) (42)
- Fibrés vectoriels complexes à groupe structural discret (1975) (37)
- On the locally branched Euclidean metric gauge (2002) (34)
- Infinity structure of Poincaré duality spaces (2003) (34)
- Topological conjugacy of circle diffeomorphisms (1995) (33)
- Quasiconformal Homeomorphisms in Dynamics , Topology , and Geometry (2010) (32)
- Brownian motion and harmonic functions on the class surface of the thrice punctured sphere (1984) (30)
- The homotopy invariance of the string topology loop product and string bracket (2008) (29)
- Genericity theorems in topological dynamics (1975) (28)
- A formula for topology/deformations and its significance (2006) (28)
- Estimating small eigenvalues of Riemann surfaces (1987) (27)
- Determinant bundles, quillen metrics and mumford isomorphisms over the universal commensurability teichmüller space (1995) (26)
- The Euler characteristic of an affine space form is zero (1975) (25)
- On conformal welding homeomorphisms associated to Jordan curves (1990) (25)
- WANDERING DOMAINS AND INVARIANT CONFORMAL STRUCTURES FOR MAPPINGS OF THE 2-TORUS (1996) (25)
- Expanding direction of the period doubling operator (1991) (24)
- 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) (24)
- An analytic proof of Novikov’s theorem on rational Pontrjagin classes (1983) (23)
- Generic dynamics and monotone complete C*-algebras (1986) (22)
- p-universal spaces and rational homotopy types (1998) (21)
- A new flow (1976) (20)
- Generic dynamics and monotone complete *-algebras (1986) (19)
- A semi-local combinatorial formula for the signature of a $4k$-manifold (1976) (19)
- Rational ergodicity of geodesic flows (1984) (19)
- René Thom’s work on geometric homology and bordism (2004) (16)
- On the homology of attractors (1976) (16)
- Localization, Periodicity, and Galois Symmetry (1970) (15)
- Exterior d, the Local Degree, and Smoothability (1996) (15)
- A free differential Lie algebra for the interval (2006) (14)
- 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)
- Formules locales pour les classes de Pontrjagin topologiques (1993) (9)
- The Hauptvermutung book : a collection of papers of the topology of manifolds (1996) (9)
- Related Aspects of Positivity: λ-Potential Theory on Manifolds, Lowest Eigenstates, Hausdorff Geometry, Renormalized Markoff Processes… (1986) (9)
- Infinite cascades of braids and smooth dynamical systems (1994) (9)
- Variation of the Green function on Riemann surfaces and Whitney’s holomorphic stratification conjecture (1988) (9)
- On the regular neighborhood of a two-sided submanifold (1970) (8)
- Generic dynamics and monotone complete C*-algebras (1986) (7)
- Superfairness: Applications and Theory (1987) (7)
- String Topology in Dimensions Two and Three (2009) (6)
- Inside and Outside Manifolds (2010) (6)
- 3D incompressible fluids: Combinatorial models, Eigenspace models, and a conjecture about well-posedness of the 3D zero viscosity limit (2014) (6)
- On geometrically finite branched coverings ∗ II . Realization of rational maps † (2003) (5)
- Homotopy theory of the master equation package applied to algebra and geometry: a sketch of two interlocking programs (2008) (5)
- Dynamical Systems Applied to Asymptotic Geometry (2005) (5)
- ON LIFTING AUTOMORPHISMS OF MONOTONE σ-COMPLETE C*-ALGEBRAS (1981) (5)
- Transverse string topology and the cord algebra (2015) (4)
- Differential Characters for K-theory (2012) (4)
- The Cumulant Bijection and Differential Forms (2014) (4)
- The Mayer-Vietoris Property in Differential Cohomology (2010) (4)
- Algebra, Topology and Algebraic Topology of 3D Ideal Fluids (2010) (3)
- To appear in: Acta Mathematica DETERMINANT BUNDLES, QUILLEN METRICS, AND MUMFORD ISOMORPHISMS OVER THE UNIVERSAL COMMENSURABILITY TEICHMÜLLER SPACE 1 (1996) (3)
- A Finite Time Blowup Result for Quadratic ODE’s (2011) (2)
- Geometry on all prime Three Manifolds (2019) (1)
- Quantitative towers in finite difference calculus approximating the continuum (2020) (1)
- Characters for Complex Bundles and their Connections (2018) (1)
- Stratmann, Bernd O. (4-STAN) Weak singularity spectra of the Patterson measure for geometrically finite Kleinian groups with parabolic elements. (2001) (1)
- Generalized Euler classes, differential forms and commutative DGAs (2019) (1)
- Renormalization, Zygmund Smoothness and the Epstein Class (1991) (0)
- Simplicity Is the Point (2017) (0)
- Strings, Fields and Topology (2009) (0)
- ON COMPACT THREE MANIFOLDS (2001) (0)
- Structure on the top homology and related algorithms (2012) (0)
- A stratified rational homology manifold version of the Atiyah-Bott fixed point theorem. (2005) (0)
- Memories of Raoul Bott (2017) (0)
- Homology classes composed of infinitely many unstable manifolds of a dynamical system (1975) (0)
- METRIC CURRENTS AND DIFFERENTIABLE STRUCTURES (2010) (0)
- K T ] 19 M ar 2 01 8 Characters for Complex Bundles and their Connections (2018) (0)
- Universal Hodge Bundle and Mumford Isomorphisms on the Abelian Inductive Limit of Teichm\"uller Spaces (1994) (0)
- Bounded Structure of Infinitely Renormalizable Mappings (2017) (0)
- The Mathematical Work of Curt McMullen (2007) (0)
- Formation de jonctions de soudage stables entre des métaux différents (1987) (0)
- Helvetici p-universal spaces and rational homotopy types (1997) (0)
- Relation entre l'appétit, le poids et la mortalité chez les personnes âgées vivant en institution (2002) (0)
- Les Metamorphoses de la liberte, ou Stendhal devant la Restauration et le Risorgimento (1969) (0)
- Lattice Hydrodynamics (2018) (0)
- The visible invisible object : a photographic enquiry 'recording' a lived life (2011) (0)
- Development of New Composites; Ceramic Bonded Carbon (2009) (0)
- A T ] 2 8 O ct 2 00 8 Structured Vector Bundles Define Differential K-Theory (0)
- The Atiyah Singer Index Theorem and Chern Weil Forms (2010) (0)
- Rokhlin’s theorem, a problem and a conjecture (2021) (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)

This paper list is powered by the following services:

Dennis Sullivan is affiliated with the following schools:

This website uses cookies to enhance the user experience. Read the Privacy Policy for more.

Subscribe To Newsletter?Yes!