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- John Franks

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
30
Citations
4,548
122
World Ranking
2694
National Ranking
1116

2013 - Fellow of the American Mathematical Society

- Topology
- Pure mathematics
- Mathematical analysis

His primary areas of study are Pure mathematics, Combinatorics, Homology, Mathematical analysis and Torus. His Pure mathematics study frequently draws connections to adjacent fields such as Discrete mathematics. He interconnects Fixed point and Polynomial, Matrix polynomial in the investigation of issues within Combinatorics.

His studies deal with areas such as Riemann manifold, Geodesic and Symbolic dynamics as well as Homology. His work carried out in the field of Torus brings together such families of science as Annulus, Homeomorphism and Boundary. His Periodic point study combines topics from a wide range of disciplines, such as Manifold, Tangent bundle, Stable manifold, Hyperbolic set and Bounded function.

- HTTP Authentication: Basic and Digest Access Authentication (673 citations)
- Necessary conditions for stability of diffeomorphisms (212 citations)
- Geodesics on S2 and periodic points of annulus homeomorphisms (202 citations)

His main research concerns Pure mathematics, Combinatorics, Discrete mathematics, Fixed point and Mathematical analysis. In his research, he undertakes multidisciplinary study on Pure mathematics and Morse code. He combines subjects such as Image, Surface and Group, Group action with his study of Combinatorics.

The Discrete mathematics study combines topics in areas such as Equivalence and Stable manifold. His study focuses on the intersection of Fixed point and fields such as Homeomorphism with connections in the field of Boundary and Annulus. His work in Mathematical analysis tackles topics such as Homology which are related to areas like Rotation matrix and Symbolic dynamics.

- Pure mathematics (51.33%)
- Combinatorics (21.24%)
- Discrete mathematics (14.16%)

- Pure mathematics (51.33%)
- Combinatorics (21.24%)
- Discrete mathematics (14.16%)

John Franks mainly focuses on Pure mathematics, Combinatorics, Discrete mathematics, Mapping class group and Automorphism. His Pure mathematics study frequently draws parallels with other fields, such as Fixed point. His work deals with themes such as Elementary proof, Fixed-point theorem, Diffeomorphism and Orientation, which intersect with Fixed point.

His Combinatorics research is multidisciplinary, incorporating elements of Surface and Symplectic geometry. John Franks works mostly in the field of Mapping class group, limiting it down to topics relating to Permutation group and, in certain cases, Projective geometry, Algebraic geometry, Hyperbolic geometry, Differential geometry and Finite set. His Automorphism research includes elements of Embedding, Countable set and Nilpotent.

- Groups of Homeomorphisms of One-Manifolds, I: Actions of Nonlinear Groups (25 citations)
- Global fixed points for centralizers and Morita's Theorem (15 citations)
- Cantor's Other Proofs that R Is Uncountable (14 citations)

- Topology
- Geometry
- Pure mathematics

The scientist’s investigation covers issues in Pure mathematics, Discrete mathematics, Mapping class group, Entropy and Automorphism. Many of his studies involve connections with topics such as Perspective and Pure mathematics. The study incorporates disciplines such as Mathematical proof and Arithmetic in addition to Discrete mathematics.

His Mapping class group study incorporates themes from Structured program theorem, Cohomology, Bounded function, Rotation number and Diffeomorphism. His Entropy studies intersect with other disciplines such as Low complexity, Embedding, Countable set, Automorphism group and Nilpotent. His study in Automorphism is interdisciplinary in nature, drawing from both Zero, Shift space and Linear subspace.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

HTTP Authentication: Basic and Digest Access Authentication

J. Franks;P. Hallam-Baker;J. Hostetler;S. Lawrence.

RFC2617 **(1999)**

1424 Citations

Necessary conditions for stability of diffeomorphisms

John Franks.

Transactions of the American Mathematical Society **(1971)**

349 Citations

Generalizations of the Poincaré-Birkhoff Theorem

John Franks.

Annals of Mathematics **(1988)**

284 Citations

Braids and the Jones polynomial

John Franks;R. F. Williams.

Transactions of the American Mathematical Society **(1987)**

280 Citations

Homology and Dynamical Systems

John M. Franks.

**(1982)**

273 Citations

Geodesics on S2 and periodic points of annulus homeomorphisms

John M Franks.

Inventiones Mathematicae **(1992)**

265 Citations

Recurrence and fixed points of surface homeomorphisms

John Franks.

Ergodic Theory and Dynamical Systems **(1988)**

197 Citations

Anosov diffeomorphisms on tori

John Franks.

Transactions of the American Mathematical Society **(1969)**

165 Citations

An Extension to HTTP : Digest Access Authentication

J. Franks;P. Hallam-Baker;J. Hostetler;P. Leach.

RFC **(1997)**

165 Citations

Homology for zero-dimensional nonwandering sets

Rufus Bowen;John Franks.

Annals of Mathematics **(1977)**

164 Citations

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