John N. Mather | Academic Influence

John N. Mather's AcademicInfluence.com Rankings

John N. Mather

Mathematics

#1741

World Rank

#2791

Historical Rank

#713

USA Rank

Measure Theory

#1911

World Rank

#2327

Historical Rank

#582

USA Rank

mathematics Degrees

John N. Mather

Physics

#3250

World Rank

#4657

Historical Rank

#1207

USA Rank

Astrophysics

#316

World Rank

#349

Historical Rank

#114

USA Rank

physics Degrees

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Mathematics
Physics

John N. Mather's Degrees

PhD Physics University of California, Berkeley

Why Is John N. Mather Influential?

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According to Wikipedia, John Norman Mather was a mathematician at Princeton University known for his work on singularity theory and Hamiltonian dynamics. He was descended from Atherton Mather , a cousin of Cotton Mather. His early work dealt with the stability of smooth mappings between smooth manifolds of dimensions n and p . He determined the precise dimensions for which smooth mappings are stable with respect to smooth equivalence by diffeomorphisms of the source and target .

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John N. Mather'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

Action minimizing invariant measures for positive definite Lagrangian systems (1991) (570)
Existence of quasi-periodic orbits for twist homeomorphisms of the annulus (1982) (509)
Variational construction of connecting orbits (1993) (336)
Stratifications and Mappings (1973) (242)
Notes on Topological Stability (2012) (237)
Stability of $C^\infty $ mappings, III. Finitely determined map-germs (1968) (223)
Stability of C ∞ Mappings: II. Infinitesimal Stability Implies Stability (1969) (208)
Stability of C ∞ mappings: VI the nice dimensions (1971) (202)
Stability of $C^\infty $ mappings, IV. Classification of stable germs by $R$-algebras (1969) (186)
Characterization of Anosov Diffeomorphisms (1968) (178)
Classification of isolated hypersurface singularities by their moduli algebras (1982) (176)
Stability of C∞ mappings, I, the division theorem (1968) (171)
Stability of C∞ mappings: V, transversality (1970) (148)
Variational construction of orbits of twist diffeomorphisms (1991) (134)
Commutators of diffeomorphisms (1974) (128)
Non-existence of invariant circles (1984) (127)
Stability of C∞ mappings, IV: Classification of stable germs by R-algebrasmappings, IV: Classification of stable germs by R-algebras (1969) (115)
Group extensions of p-adic and adelic linear groups . On the differential equations satisfied by period matrices . Théorème de lefschetz et critères de dégénérescence de suites spectrales . Stability of C mappings, III : finitely determined map-germs (1968) (107)
The vanishing of the homology of certain groups of homeomorphisms (1971) (100)
Action minimizing orbits in hamiltomian systems (1994) (98)
A criterion for the non-existence of invariant circles (1986) (97)
Arnold Diffusion. I: Announcement of Results (2004) (94)
Solutions of the collinear four body problem which become unbounded in finite time (1975) (77)
Differentiability of the minimal average action as a function of the rotation number (1990) (75)
More Denjoy minimal sets for area preserving diffeomorphisms (1985) (73)
Destruction of invariant circles (1988) (67)
Integrability in codimension 1 (1973) (67)
Minimal measures (1989) (59)
How to stratify mappings and jet spaces (1976) (59)
Failure of convergence of the Lax-Oleinik semi-group in the time-periodic case (2000) (54)
MODULUS OF CONTINUITY FOR PEIERLS'S BARRIER (1987) (52)
Glancing billiards (1982) (47)
Commutators of diffeomorphisms: II (1975) (46)
Stability of C{su∞} mappings, III: Finitely determined map-germsmappings, III: Finitely determined map-germs (1968) (40)
A curious remark concerning the geometric transfer map (1984) (36)
On Thom–Boardman Singularities (1973) (35)
Examples of Aubry sets (2004) (35)
Stable map-germs and algebraic geometry (1971) (34)
On nirenberg's proof of malgrange's preparation theorem (1971) (34)
Total disconnectedness of the quotient Aubry set in low dimensions (2003) (29)
On Haefliger’s classifying space. I (1971) (29)
Simplicity of certain groups of diffeomorphisms (1974) (28)
Commutators of diffeomorphisms, III: a group which is not perfect (1985) (27)
Solutions of Generic Linear Equations (1973) (25)
Distance from a submanifold in Euclidean space (1981) (25)
Non-uniqueness of solutions of Percival's Euler-Lagrange equation (1982) (21)
Instability of resonant totally elliptic points of symplectic maps in dimension 4 (2004) (21)
On the Homology of Haefliger's Classifying Space (2010) (21)
Amount of rotation about a point and the Morse index (1984) (20)
Arnold Diffusion by Variational Methods (2012) (17)
Transition to chaos in classical and quantum mechanics (1994) (15)
INVARIANCE OF THE HOMOLOGY OF A LATTICE (1966) (14)
Concavity of the Lagrangian for quasi-periodic orbits (1982) (11)
Criterion for biholomorphic equivalence of isolated hypersurface singularities. (1981) (11)
SHORTEST CURVES ASSOCIATED TO A DEGENERATE JACOBI METRIC ON (2010) (11)
A property of compact, connected, laminated subsets of manifolds (2002) (9)
Medical bibliography (1987) (9)
37—COMPARISON OF JUTE FIBRE AND YARN PROPERTIES (1964) (8)
Area preserving twist homeomorphism of the annulus (1979) (8)
Foliations of surfaces I: an ideal boundary (1982) (5)
AN ANALYSIS OF THE JUTE PROCESSING SYSTEM (1962) (2)
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE AND EXPOSITION ON STRUCTURAL IMPACT AND CRASHWORTHINESS, TO BE HELD AT IMPERIAL COLLEGE LONDON, JULY 16-20 1984 (1984) (1)
ON THE HOMOLOGY OF HAEFLIGERIS CLASSIFYING SPACE (1976) (0)
New Perspectives on the N -body Problem (2013) (0)
INTERNATIONAL CONFERENCE ON SINGULARITY THEORY AND DYNAMICAL SYSTEMS–IN MEMORY OF JOHN MATHER (2017) (0)
PRINCIPLES GOVERNING THE CONTROL OF FLOW OF MATERIAL IN A JUTE PROCESSING SYSTEM (1957) (0)
Estimate for the perimeter in the Newtonian three-body problem (1976) (0)
Failure of convergence of the Lax-Oleinik semigroup in the time periodic case Bulletin (2018) (0)
Failure of convergence of the Lax-Oleinik semigroup in the time periodic case Bulletin (2018) (0)
INTERNATIONAL CONFERENCE ON SINGULARITY THEORY AND DYNAMICAL SYSTEMS–IN MEMORY OF JOHN MATHER (2017) (0)
THE GEOMETRY OF TOPOLOGICAL STABILITY (LMS Monographs (N.S.) 9) By ANDREW DU PLESSIS and TERRY WALL: 572 pp., £75.00 (LMS Members' price £56.25), ISBN 0 19 853588 0 (Clarendon Press, 1995) (1998) (0)
FOLIATIONS AND GROUPS OF DIFFEOMORPHISMS BY WILLIAM THURSTON Communicated by William Browder, July 7, 1973 (2007) (0)
POSTER AWARDS (1992) (0)
The Operating Principles of a Jute Sliver Thickness Detector (1962) (0)

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