Eduard Zehnder | Academic Influence

Eduard Zehnder's AcademicInfluence.com Rankings

Eduard Zehnder

Mathematics

#651

World Rank

#1200

Historical Rank

Measure Theory

#2748

World Rank

#3281

Historical Rank

mathematics Degrees

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Mathematics

Eduard Zehnder's Degrees

PhD Mathematics University of Basel

Why Is Eduard Zehnder Influential?

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According to Wikipedia, Eduard J. Zehnder is a Swiss mathematician, considered one of the founders of symplectic topology. Biography Zehnder studied mathematics and physics at ETH Zurich from 1960 to 1965, where he also did his Ph.D. in theoretical physics, defending his thesis on the three-body problem in 1971 under the direction of Res Jost. He was a visiting professor at Courant Institute of Mathematical Sciences , visiting member of Institute for Advanced Study in Princeton from 1972 to 1974. He passed his habilitation in mathematics in 1974 at the University of Erlangen-Nuremberg. He had appointments at the University of Bochum from 1976 to 1986; at the University of Aix-la-Chapelle during the academic year 1987–88, where he was director of the Mathematical Institute. From 1988, he had a chair at ETH Zurich, where he became emeritus in 2006. He was plenary speaker at the International Congress of Mathematicians in 1986 at the University of California, Berkeley. In 2012 he became a fellow of the American Mathematical Society.

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Eduard Zehnder'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

Symplectic Invariants and Hamiltonian Dynamics (1994) (866)
Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations (1984) (501)
Compactness results in Symplectic Field Theory (2003) (501)
Morse theory for periodic solutions of hamiltonian systems and the maslov index (1992) (490)
Generalized implicit function theorems with applications to some small divisor problems, I (1976) (415)
The Birkhoff-Lewis fixed point theorem and a conjecture of V.I. Arnold (1983) (375)
Nontrivial solutions for a class of nonresonance problems and applications to nonlinear differential equations (1980) (315)
The dynamics on three-dimensional strictly convex energy surfaces (1998) (250)
Finite energy foliations of tight three-spheres and Hamiltonian dynamics (2003) (183)
Properties of pseudo-holomorphic curves in symplectisations II: Embedding controls and algebraic invariants (1995) (153)
Properties of pseudoholomorphic curves in symplectisations. I : asymptotics (1996) (152)
Boundedness of solutions via the twist-theorem (1987) (150)
Notes on Dynamical Systems (2005) (147)
Periodic solutions of asymptotically linear Hamiltonian systems (1980) (134)
A general Fredholm theory I: A splicing-based differential geometry (2006) (129)
KAM theory in configuration space (1989) (125)
Properties of Pseudoholomorphic Curves in Symplectisations Iv: Asymptotics with Degeneracies (1996) (122)
A New Capacity for Symplectic Manifolds (1990) (120)
Integrable Hamiltonian systems (2005) (117)
Applications of Polyfold Theory I: The Polyfolds of Gromov-Witten Theory (2011) (113)
Properties of Pseudoholomorphic Curves in Symplectizations III: Fredholm Theory (1999) (112)
A General Fredholm Theory II: Implicit Function Theorems (2007) (99)
Periodic solutions on hypersurfaces and a result by C. Viterbo (1987) (98)
A general Fredholm theory III: Fredholm functors and polyfolds (2008) (72)
A characterisation of the tight three-sphere (1995) (70)
Sc-Smoothness, Retractions and New Models for Smooth Spaces (2010) (64)
Note on smoothing symplectic and volume preserving diffeomorphisms (1977) (63)
Integration theory on the zero sets of polyfold Fredholm sections (2007) (56)
Exponential stability for time dependent potentials (1992) (53)
An inverse function theorem in Fréchet-Spaces (1979) (44)
Flows on vector bundles and hyperbolic sets (1988) (44)
Polyfold and Fredholm Theory (2014) (41)
Boundedness of solutions for quasiperiodic potentials (1995) (41)
A simple proof of a generalization of a theorem by C. L. Siegel (1977) (40)
A Morse equation in Conley's index theory for semiflows on metric spaces (1985) (36)
Finite energy cylinders of small area (2002) (35)
UNKNOTTED PERIODIC ORBITS FOR REEB FLOWS ON THE THREE-SPHERE (1996) (34)
Lectures on Dynamical Systems: Hamiltonian Vector Fields and Symplectic Capacities (2010) (33)
Remarks on Periodic Solutions on Hypersurfaces (1987) (28)
Subharmonic solutions and Morse theory (1984) (26)
An index theory for periodic solutions of a Hamiltonian system (1983) (25)
Correction to “Properties of pseudoholomorphic curves in symplectisations I: Asymptotics” (1998) (24)
An implicit function theorem for small divisor problems (1974) (24)
Polyfold and Fredholm Theory I: Basic Theory in M-Polyfolds (2014) (22)
Moser's implicit function theorem in the framework of analytic smoothing (1976) (22)
Hamiltonian systems with a stochastic force:nonlinear versus linear, and a girsanov formula (1992) (19)
C. L. Siegel's linearization theorem in infinite dimensions (1978) (17)
The equivariant Conley index and bifurcations of periodic solutions of Hamiltonian systems (1988) (16)
Pseudoholomorphic curves and dynamics in three dimensions (2001) (15)
Periodic solutions of hamiltonian equations (1983) (14)
Forced Oscillations for the Triple Pendulum (1990) (14)
The asymptotic behavior of a finite energy plane (2001) (12)
An "A-Priori" estimate for oscillatory-equations (1985) (12)
Asymptotic expansions of quasiperiodic solutions (1989) (11)
Floer Homology, the Maslov Index And Periodic Orbits of Hamiltonian Equations (1990) (10)
Smooth Lyapunov 1-forms (2003) (9)
Analysis, Et Cetera: Research Papers Published in Honor of Jurgen Moser's 60th Birthday (1990) (8)
On the numerical treatment of a small divisor problem (1982) (8)
Lyapunov 1-forms for flows (2002) (6)
Correction to “A characterisation of the tight three-sphere” (1997) (6)
The Arnold Conjecture for Fixed Points of Symplectic Mappings and Periodic Solutions of Hamiltonian Systems (2010) (6)
Fixed point results for symplectic maps related to the arnold - conjecture (1985) (5)
Asymptotic expansions of quasi-periodicmotions (1989) (5)
A Poincaré-Birkhoff-type result in higher dimensions (1986) (4)
The Beginnings of Symplectic Topology in Bochum in the Early Eighties (2019) (3)
Chapter 15 Pseudoholomorphic curves and dynamics in three dimensions (2002) (2)
On a normal form of symmetric maps of [0, 1] (1980) (2)
Pseudoholomorphic Curves And Dynamics (1997) (2)
Symplectic Geometry: Symplectic mappings which are stable at infinity (1994) (1)
Manifolds and Strong Retracts (2021) (0)
Basic Sc-Fredholm Theory (2021) (0)
Existence of closed characteristics (2011) (0)
Equivalences and Localization (2021) (0)
The Fredholm Package for M-Polyfolds (2021) (0)
INTEGRATION ON THE ZERO SETS OF POLYFOLD FREDHOLM SECTIONS (2008) (0)
Polyfold Theory for Categories (2021) (0)
The topological behaviour of a diffeomorphism near a fixed point (1984) (0)
Branched Ep+-Subgroupoids (2021) (0)
Book Review: The Floer Memorial Volume (Progress in Mathematics Vo.133) (MATTHIAS SCHWARZ) (1996) (0)
Extension of Sc+-Multisections (2021) (0)
General Constructions (2021) (0)
Ep-Groupoids (2021) (0)
Retracts (2021) (0)
Geometry up to Equivalences (2021) (0)
The Beginnings of Symplectic Topology in Bochum in the Early Eighties (2019) (0)
Geometry of compactly supported symplectic mappings in ℝ2n (2011) (0)
Sc-Calculus (2021) (0)
Sc+-Multisections (2021) (0)
Note on Subharmonic Solutions of a Hamiltonian Vector Field. (1983) (0)
Transversality and Invariants (2021) (0)
D S ] 3 1 O ct 2 00 2 Lyapunov 1-forms for flows (0)
Fredholm Theory in Polyfolds (2021) (0)
0 Fe b 20 03 Lyapunov 1-forms for flows (0)
Bundles and Covering Functors (2021) (0)
The Arnold conjecture, Floer homology and symplectic homology (1994) (0)
Printed in the United Kingdom Lyapunov 1-forms for flows (0)
Orientations (2021) (0)
Existence of a capacity (2011) (0)
Sc-Fredholm Sections (2021) (0)

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