Andreas Floer | Academic Influence

Andreas Floer's AcademicInfluence.com Rankings

Andreas Floer

Mathematics

#310

World Rank

#663

Historical Rank

Algebraic Topology

#23

World Rank

#29

Historical Rank

Differential Geometry

#26

World Rank

#32

Historical Rank

Measure Theory

#3466

World Rank

#4090

Historical Rank

mathematics Degrees

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Mathematics

Andreas Floer's Degrees

PhD Mathematics University of California, Berkeley
Masters Mathematics University of Bonn

Why Is Andreas Floer Influential?

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According to Wikipedia, Andreas Floer was a German mathematician who made seminal contributions to symplectic topology, and mathematical physics, in particular the invention of Floer homology. Floer's first pivotal contribution was a solution of a special case of Arnold's conjecture on fixed points of a symplectomorphism. Because of his work on Arnold's conjecture and his development of instanton homology, he achieved wide recognition and was invited as a plenary speaker for the International Congress of Mathematicians held in Kyoto in August 1990. He received a Sloan Fellowship in 1989.

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Andreas Floer'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

Nonspreading wave packets for the cubic Schrödinger equation with a bounded potential (1986) (926)
Morse theory for Lagrangian intersections (1988) (740)
Symplectic fixed points and holomorphic spheres (1989) (546)
An instanton-invariant for 3-manifolds (1988) (478)
The unregularized gradient flow of the symplectic action (1988) (409)
Transversality in elliptic Morse theory for the symplectic action (1995) (331)
WITTEN'S COMPLEX AND INFINITE DIMENSIONAL MORSE THEORY (1989) (319)
A relative morse index for the symplectic action (1988) (213)
Coherent orientations for periodic orbit problems in symplectic geometry (1993) (208)
Symplectic homology I open sets in ℂn (1994) (152)
Applications of symplectic homology I (1994) (120)
Applications of symplectic homology II: Stability of the action spectrum (1996) (100)
Cuplength estimates on lagrangian intersections (1989) (97)
Symplectic homology II (1995) (89)
A refinement of the Conley index and an application to the stability of hyperbolic invariant sets (1987) (75)
Proof of the Arnold conjecture for surfaces and generalizations to certain Kähler manifolds (1986) (73)
Instanton homology and Dehn surgery (1995) (58)
The Weinstein conjecture inP×C1 (1990) (56)
Morse theory for fixed points of symplectic diffeomorphisms (1987) (47)
Monopoles on asymptotically flat manifolds (1995) (32)
Geometry of Low-dimensional Manifolds: Instanton homology, surgery and knots (1991) (31)
SSelf-dual conformal structures on $l \mathbb{C}P^2$ (1991) (27)
The equivariant Conley index and bifurcations of periodic solutions of Hamiltonian systems (1988) (16)
Monopoles on asymptotically Euclidean 3-manifolds (1987) (13)
A topological persistence theorem for normally hyperbolic manifolds via the Conley index (1990) (12)
The configuration space of Yang-Mills-Higgs theory on asymptotically flat manifolds (1995) (12)
Elliptic methods in variational problems (1990) (6)
Fixed point results for symplectic maps related to the arnold - conjecture (1985) (5)
Viterbo’s Index and the Morse Index for the Symplectic Action (1987) (1)
Deanna Shipley, collaborative piano (2000) (0)
Elliptic methods in variational problems : Plenary address, International Congress of Mathematicians, Kyoto, Japan, August, 1990 (1990) (0)

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