Dennis Sullivan

12.0k total citations · 2 hit papers
80 papers, 5.7k citations indexed

About

Dennis Sullivan is a scholar working on Mathematical Physics, Geometry and Topology and Applied Mathematics. According to data from OpenAlex, Dennis Sullivan has authored 80 papers receiving a total of 5.7k indexed citations (citations by other indexed papers that have themselves been cited), including 53 papers in Mathematical Physics, 47 papers in Geometry and Topology and 25 papers in Applied Mathematics. Recurrent topics in Dennis Sullivan's work include Mathematical Dynamics and Fractals (27 papers), Geometric and Algebraic Topology (22 papers) and Homotopy and Cohomology in Algebraic Topology (18 papers). Dennis Sullivan is often cited by papers focused on Mathematical Dynamics and Fractals (27 papers), Geometric and Algebraic Topology (22 papers) and Homotopy and Cohomology in Algebraic Topology (18 papers). Dennis Sullivan collaborates with scholars based in France, United States and Israel. Dennis Sullivan's co-authors include Paulo Sad, Ricardo Mañé, Burt Rodin, Pierre Deligne, Phillip Griffiths, John Morgan, Micheline Vigué-Poirrier, Moira Chas, M. Shub and Terry Lyons and has published in prestigious journals such as Communications in Mathematical Physics, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Dennis Sullivan

78 papers receiving 4.5k citations

Hit Papers

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What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Infinitesimal computations in topology

1977 743 citations Dennis Sullivan profile →
Real homotopy theory of K�hler manifolds

1975 374 citations Dennis Sullivan et al. profile →

Peers

Countries citing papers authored by Dennis Sullivan

Since Specialization

Citations

This map shows the geographic impact of Dennis Sullivan's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Dennis Sullivan with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Dennis Sullivan more than expected).

Fields of papers citing papers by Dennis Sullivan

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Dennis Sullivan. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Dennis Sullivan. The network helps show where Dennis Sullivan may publish in the future.

Co-authorship network of co-authors of Dennis Sullivan

This figure shows the co-authorship network connecting the top 25 collaborators of Dennis Sullivan. A scholar is included among the top collaborators of Dennis Sullivan based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Dennis Sullivan. Dennis Sullivan is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	String topology: background and present state 2005 ·Project Euclid (Cornell University) ·Dennis Sullivan	13
2	String Topology 1999 ·arXiv (Cornell University) ·Moira Chas, Dennis Sullivan	124
3	Quasiconformal Homeomorphisms and Dynamics III. The Teichmüller Space of a Holomorphic Dynamical System 1998 ·Advances in Mathematics ·Curtis T. McMullen, Dennis Sullivan	84
4	The Hauptvermutung book : a collection of papers of the topology of manifolds 1996 ·CERN Document Server (European Organization for Nuclear Research) ·Andrew Ranicki, Andrew Casson, Dennis Sullivan, M. A. Armstrong, C. P. Rourke, (unknown)	4
5	Teichmüller theory and the universal period mapping via quantum calculus and the H^1/2 space on the circle 1995 ·Osaka Journal of Mathematics ·Subhashis Nag, Dennis Sullivan	59
6	Infinite cascades of braids and smooth dynamical systems 1994 ·Topology ·J. M. Gambaudo, Dennis Sullivan, C. Tresser	9
7	SLIP-LINING SOLUTION 1993 ·Civil engineering ·Dennis Sullivan	1
8	Brownian motion and harmonic functions on the class surface of the thrice punctured sphere 1984 ·Advances in Mathematics ·H. P. McKean, Dennis Sullivan	15
9	Nilpotent bases for distributions and control systems 1984 ·Journal of Differential Equations ·Henry Hermes, Albert T. Lundell, Dennis Sullivan	30
10	A foliation of geodesics is characterized by having no “tangent homologies” 1978 ·Journal of Pure and Applied Algebra ·Dennis Sullivan	30
11	Foliations with all leaves compact 1977 ·Topology ·Robert D. Edwards, Kenneth C. Millett, Dennis Sullivan	50
12	The homology theory of the closed geodesic problem 1976 ·Journal of Differential Geometry ·Micheline Vigué-Poirrier, Dennis Sullivan	123
13	Currents, flows and diffeomorphisms 1975 ·Topology ·David Ruelle, Dennis Sullivan	120
14	Homology theory and dynamical systems 1975 ·Topology ·M. Shub, Dennis Sullivan	49
15	A topological invariant of flows on 1-dimensional spaces 1975 ·Topology ·(unknown), Dennis Sullivan	69
16	On the intersection ring of compact three manifolds 1975 ·Topology ·Dennis Sullivan	45
17	A remark on the Lefschetz fixed point formula for differentiable maps 1974 ·Topology ·M. Shub, Dennis Sullivan	73
18	Localization, Periodicity, and Galois Symmetry 1970 ·Dennis Sullivan	10
19	On the regular neighborhood of a two-sided submanifold 1970 ·Topology ·Marshall M. Cohen, Dennis Sullivan	9
20	Triangulating homotopy equivalences 1965 ·In-house reproduction eBooks ·Dennis Sullivan	48

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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