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D-Index & Metrics

Mathematics

D-Index
32
Citations
5069
World Ranking
3161
National Ranking
1266

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

John Franks is affiliated with Northwestern University in the United States. Their academic work primarily centers on the field of Mathematics, with a focus on subfields such as Geometry and Topology, and Mathematical Physics.

Their research topics encompass aspects of Geometric and Algebraic Topology as well as Mathematical Dynamics and Fractals.

  • Geometric and Algebraic Topology
  • Mathematical Dynamics and Fractals

Throughout their career, John Franks has frequently collaborated with Benson Farb.

  • Benson Farb

In recognition of their contributions, John Franks was named a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Necessary conditions for stability of diffeomorphisms

    John Franks

  • Generalizations of the Poincaré-Birkhoff Theorem

    John Franks

  • Braids and the Jones polynomial

    John Franks;R. F. Williams

  • Geodesics on S2 and periodic points of annulus homeomorphisms

    John M Franks

  • Homology and Dynamical Systems

    John M. Franks

  • Recurrence and fixed points of surface homeomorphisms

    John Franks

  • Anosov diffeomorphisms on tori

    John Franks

  • Homology for zero-dimensional nonwandering sets

    Rufus Bowen;John Franks

  • Anomalous anosov flows

    John Franks;Bob Williams

  • Flow equivalence of Subshifts of Finite Type

    John Franks

  • Realizing rotation vectors for torus homeomorphisms

    John Franks

  • The periodic points of maps of the disk and the interval

    Rufus Bowen;John Franks

  • Shift Equivalence and the Conley Index

    John Franks;David S. Richeson

  • Periodic points of Hamiltonian surface diffeomorphisms

    John Franks;Michael Handel

  • A new proof of the Brouwer plane translation theorem

    John Franks

  • Morse-Smale flows and homotopy theory

    John M. Franks

  • Nonsingular smale flows on S3

    John M Franks

  • Rotation sets of toral flows

    John M Franks;Michal Misiurewicz;Michal Misiurewicz

  • Regions of instability for non-twist maps

    John Franks;Patrice Le Calvez

  • Area preserving homeomorphisms of open surfaces of genus zero

    John M Franks

  • A quasi-Anosov diffeomorphism that is not Anosov

    John Franks;Clark Robinson

Frequent Co-Authors

Benson Farb
Benson Farb University of Chicago
Michał Misiurewicz
Michał Misiurewicz Indiana University – Purdue University Indianapolis
Rufus Bowen
Rufus Bowen University of California, Berkeley
Christian Bonatti
Christian Bonatti University of Burgundy
Michael Shub
Michael Shub City College of New York

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