John Franks

Mathematics · Physical Sciences

33h-index4.1kcitations155works0.02yr avg
OpenAlex↗Google Scholar↗

Accepting Students?

No reports yet. Know if this professor is taking students?

Research Topics

Mathematical Dynamics and Fractals(114), Geometric and Algebraic Topology(47), Advanced Differential Equations and Dynamical Systems(39), Quantum chaos and dynamical systems(28), Homotopy and Cohomology in Algebraic Topology(15)

Publications155 total

Groups of Homeomorphisms of One-Manifolds, I:
Princeton University Press eBooks·2020· 3 cited
Groups of Homeomorphisms of One-Manifolds, I: Actions of Nonlinear Groups
Princeton University Press eBooks·2019· 15 citedOpen Access
Distortion and the automorphism group of a shift
Journal of Modern Dynamics·2018· 8 citedOpen Access
Notes on Chain Recurrence and Lyapunonv Functions
arXiv (Cornell University)·2017· 5 citedOpen Access
The spacetime of a shift endomorphism
Transactions of the American Mathematical Society·2017· 2 citedOpen Access
Rotation numbers for 𝑆² diffeomorphisms
Contemporary mathematics - American Mathematical Society·2017· 2 cited
Zero entropy subgroups of mapping class groups
Geometriae Dedicata·2016Open Access
Rotation Numbers for $S^2$ diffeomorphisms
arXiv (Cornell University)·2014Open Access
Triviality of some representations of 𝑀𝐶𝐺(𝑆_{𝑔}) in 𝐺𝐿(𝑛,ℂ),𝔻𝕚𝕗𝕗(𝕊²) and ℍ𝕠𝕞𝕖𝕠(𝕋²)
Proceedings of the American Mathematical Society·2013· 9 citedOpen Access
Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of a surface
Journal of Modern Dynamics·2013· 1 cited
Centralizers and other virtually abelian subgroups of $\Symp^\omega_\mu(S^2)$
arXiv (Cornell University)·2012Open Access
Some virtually abelian subgroups of the group of analytic symplectic diffeomorphisms of $S^2$
arXiv (Cornell University)·2012Open Access
Some virtually abelian subgroups of the group of analytic symplectic\n diffeomorphisms of $S^2$
arXiv (Cornell University)·2012Open Access
Triviality of some representations of $MCG(S_g)$ in $GL(n,C), Diff(S^2)$ and $Homeo(T^2)$
arXiv (Cornell University)·2011· 3 citedOpen Access
Cantor's Other Proofs that R Is Uncountable
Mathematics Magazine·2010· 20 cited
A non-measurable set
Student mathematical library·2009
Two ergodic transformations
Student mathematical library·2009
Lebesgue measure
Student mathematical library·2009
Background and foundations
Student mathematical library·2009· 1 cited
A (Terse) Introduction to Lebesgue Integration
Student mathematical library·2009· 14 cited
page 1 of 8Next →

Frequent Co-authors

Michael Handel(3), R. F. Williams(2), Rufus Bowen(2), Michał Misiurewicz(2), Bob Williams(1), David Richeson(1), Mike Boyle(1), Bruce Kitchens(1), Patrice Le Calvez(1), Benson Farb(1), Clark Robinson(1), R. F. Williams(1), Daniel Asimov(1), Paul Blanchard(1), Michael Shub(1), Carolyn C. Narasimhan(1)