Systems

Group

John M. Alongi | Nir Avni | Keith Burns | Elizabeth Burslem | Daniel Cuzzocreo |

Diana Davis | Laura DeMarco | John Franks | Yair Hartman | Bryna Kra |

Rostyslav Kravchenko | Sara Lapan | Jan-Li Lin | Kiran Parkhe | Jason Siefken |

Jeff (Zhihong) Xia | Emeritus Faculty: | Alexandra Bellow | R. Clark Robinson |

- John M. Alongi: Dynamical Systems and Ergodic Theory.
*John Alongi studies dynamical systems from a topological perspective.* -
Nir Avni: Arithmetic groups and Representation Theory.
*Model theory, Group theory and generalizations, Topological groups, Lie groups, Measure and integration, Dynamical systems and ergodic theory, Differential geometry* -
Keith Burns: Dynamical Systems and Ergodic Theory

*Keith Burns works on geometrical and dynamical problems connected with geodesics in manifolds with nonpositive curvature. Recent work has concentrated on partial hyperbolicity and stable ergodicity.* -
Laura DeMarco: Dynamical systems and complex analysis.
- John Franks: Dynamical Systems and Ergodic Theory.
*John Franks' recent topological work has focused on actions of groups on surfaces -- in particular, lattice actions which leave invariant a Borel probability measure on the surface. Some of his earlier work concerned knots that occur as closed orbits of flows, index arguments using the zeta function, subshifts of finite type, attractors, and descriptions of possible dynamics.* - Bryna Kra: Dynamical Systems and Ergodic Theory.
*Bryna Kra works in dynamical systems and ergodic theory, with an emphasis on applications to combinatorial number theory.* - Jeff (Zhihong) Xia: Dynamical Systems.
*Jeff Xia's research is in the areas of Newtonian n-body problem, Hamiltonian dynamics and general hyperbolic and partially hyperbolic dynamical systems.*

- Alexandra Bellow (Emeritus).
- Elizabeth Burslem: Dynamical Systems.
- Daniel Cuzzocreo: Complex Dynamics.
*Daniel Cuzzocreo is interested in holomorphic dynamical systems. In particular, he is interested in structures in parameter spaces for families of rational maps.* -
Diana Davis: Geometry and dynamics.
*Diana Davis works in symbolic dynamics of sequences associated to geodesic trajectories on polygon surfaces; polygonal tilings.* -
Yair Hartman: Ergodic theory on groups, Measurable group actions, Random walks on graphs.
*Random walks on groups and Poisson boundary, Geometric Group Theory, Ergodic Theory, Invariant Random Subgroups, Symbolic Dynamics, Cellular Autoamta.* - Rostyslav Kravchenko: geometric group theory.
*Description of research: self-similar groups and ergodic theory.* -
Sara Lapan: Complex dynamics.
*Sara Lapan works in local holomorphic dynamics in several complex variables.* -
Jan-Li Lin: Complex dynamics.
*Jan-Li Lin is interested in the behavior of rational maps under iteration.* - Kiran Parkhe: Dynamical systems.
*Kiran Parkhe's main research interest is group actions on manifolds.* -
R.Clark Robinson (Emeritus).
- Jason Siefken: Dynamical systems.
*Description of Research Interest: Dynamical Systems, Symbolic Dynamics, Ergodic Theory, and Aperiodic Tilings.*