John N. Mather

5.5k total citations
46 papers, 2.8k citations indexed

About

John N. Mather is a scholar working on Geometry and Topology, Mathematical Physics and Statistical and Nonlinear Physics. According to data from OpenAlex, John N. Mather has authored 46 papers receiving a total of 2.8k indexed citations (citations by other indexed papers that have themselves been cited), including 30 papers in Geometry and Topology, 28 papers in Mathematical Physics and 19 papers in Statistical and Nonlinear Physics. Recurrent topics in John N. Mather's work include Mathematical Dynamics and Fractals (21 papers), Quantum chaos and dynamical systems (18 papers) and Advanced Differential Equations and Dynamical Systems (14 papers). John N. Mather is often cited by papers focused on Mathematical Dynamics and Fractals (21 papers), Quantum chaos and dynamical systems (18 papers) and Advanced Differential Equations and Dynamical Systems (14 papers). John N. Mather collaborates with scholars based in United States, France and Switzerland. John N. Mather's co-authors include Stephen S.‐T. Yau, Albert Fathi, B. Wright, Luigi Chierchia, V. A. Kaloshin, Enrico Valdinoci, Giovanni Forni, Stefano Isola, Mirko Degli Esposti and Jean Bellissard and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Communications in Mathematical Physics and Annals of Mathematics.

In The Last Decade

John N. Mather

45 papers receiving 2.3k citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name	h						Papers	Cites
John N. Mather United States	27	1.6k	1.4k	1.4k	468	289	46	2.8k
S. P. Novikov Russia	21	823 0.5×	1.7k 1.2×	973 0.7×	360 0.8×	213 0.7×	69	2.8k
А. Т. Фоменко Russia	32	1.2k 0.8×	1.9k 1.3×	1.2k 0.9×	302 0.6×	168 0.6×	109	3.1k
A. Katok United States	24	1.9k 1.2×	1.1k 0.7×	1.0k 0.7×	379 0.8×	266 0.9×	48	2.3k
I. P. Cornfeld	2	1.2k 0.8×	789 0.5×	388 0.3×	275 0.6×	330 1.1×	2	2.0k
Eduard Zehnder Switzerland	25	1.5k 1.0×	1.1k 0.7×	1.7k 1.2×	810 1.7×	368 1.3×	52	2.8k
S. M. Gusein‐Zade Russia	18	830 0.5×	401 0.3×	1.4k 1.0×	521 1.1×	310 1.1×	113	2.4k
Charles Pugh United States	22	1.9k 1.2×	1.5k 1.1×	1.2k 0.9×	408 0.9×	221 0.8×	59	2.8k
Hans Zassenhaus United States	24	606 0.4×	664 0.5×	1.1k 0.8×	360 0.8×	658 2.3×	122	3.0k
Alexander Varchenko United States	30	1.5k 0.9×	1.5k 1.0×	3.0k 2.2×	763 1.6×	439 1.5×	168	4.2k
Mark Pollicott United Kingdom	25	2.2k 1.4×	1.2k 0.9×	881 0.6×	400 0.9×	285 1.0×	165	2.7k

Countries citing papers authored by John N. Mather

Since Specialization

Citations

This map shows the geographic impact of John N. Mather'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 John N. Mather with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites John N. Mather more than expected).

Fields of papers citing papers by John N. Mather

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by John N. Mather. 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 John N. Mather. The network helps show where John N. Mather may publish in the future.

Co-authorship network of co-authors of John N. Mather

This figure shows the co-authorship network connecting the top 25 collaborators of John N. Mather. A scholar is included among the top collaborators of John N. Mather 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 John N. Mather. John N. Mather 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

Mather, John N.. (2012). Notes on Topological Stability. Bulletin of the American Mathematical Society. 49(4). 475–506. 77 indexed citations

Kaloshin, V. A., John N. Mather, & Enrico Valdinoci. (2004). Instability of resonant totally elliptic points of symplectic maps in dimension 4. Astérisque. 79–116. 7 indexed citations

Mather, John N.. (1993). Variational construction of connecting orbits. Annales de l’institut Fourier. 43(5). 1349–1386. 187 indexed citations

Mather, John N.. (1991). Variational construction of orbits of twist diffeomorphisms. Journal of the American Mathematical Society. 4(2). 207–263. 56 indexed citations

Mather, John N.. (1991). Action minimizing invariant measures for positive definite Lagrangian systems. Mathematische Zeitschrift. 207(1). 169–207. 316 indexed citations

Mather, John N.. (1990). Differentiability of the minimal average action as a function of the rotation number. Bulletin of the Brazilian Mathematical Society New Series. 21(1). 59–70. 46 indexed citations

Mather, John N., et al.. (1988). Destruction of invariant circles. Ergodic Theory and Dynamical Systems. 8(8). 199–214. 39 indexed citations

Mather, John N.. (1985). Commutators of diffeomorphisms, III: a group which is not perfect. Commentarii Mathematici Helvetici. 60(1). 122–124. 12 indexed citations

Mather, John N.. (1984). Non-existence of invariant circles. Ergodic Theory and Dynamical Systems. 4(2). 301–309. 101 indexed citations

10.

Mather, John N.. (1982). Existence of quasi-periodic orbits for twist homeomorphisms of the annulus. Topology. 21(4). 457–467. 335 indexed citations

11.

Mather, John N.. (1982). Foliations of surfaces I: an ideal boundary. Annales de l’institut Fourier. 32(1). 235–261.

12.

Mather, John N. & Stephen S.‐T. Yau. (1982). Classification of isolated hypersurface singularities by their moduli algebras. Inventiones mathematicae. 69(2). 243–251. 92 indexed citations

13.

Mather, John N. & Stephen S.‐T. Yau. (1981). Criterion for biholomorphic equivalence of isolated hypersurface singularities. Proceedings of the National Academy of Sciences. 78(10). 5946–5947. 8 indexed citations

14.

Wright, B. & John N. Mather. (1979). Use of a Couette High-Shear-Rate Viscometer for Measuring the Viscosity of Engine Lubricants. SAE technical papers on CD-ROM/SAE technical paper series. 1. 10 indexed citations

15.

Mather, John N.. (1977). Differentiable invariants. Topology. 16(2). 145–155. 37 indexed citations

16.

Mather, John N.. (1974). Simplicity of certain groups of diffeomorphisms. Bulletin of the American Mathematical Society. 80(2). 271–274. 17 indexed citations

17.

Mather, John N.. (1971). The vanishing of the homology of certain groups of homeomorphisms. Topology. 10(4). 297–298. 67 indexed citations

18.

Mather, John N.. (1970). Stability of C∞ mappings: V, transversality. Advances in Mathematics. 4(3). 301–336. 106 indexed citations

19.

Mather, John N.. (1969). Stability of C ∞ Mappings: II. Infinitesimal Stability Implies Stability. Annals of Mathematics. 89(2). 254–254. 129 indexed citations

20.

Mather, John N.. (1968). Characterization of Anosov Diffeomorphisms. Indagationes Mathematicae (Proceedings). 71. 479–483. 110 indexed citations

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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