University of Florida

Topology and Dynamical Systems - Department of Mathematics

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Mathematics Faculty

photo35-767x1024 Louis Block   

  • Dynamical systems and connections between dynamics and topology.
  • One-dimensional dynamics and chaos theory.
IMG_6453-1 Philip Boyland   

Dynamical Systems, Classical and Fluid Mechanics

DSC_9395-copy-300x426 Peter Bubenik   

My research is on applied topology and more specifically, topological data analysis, which studies the shape of data. More precisely, it consists of

  • combining ideas from topology, statistics and machine learning to develop new tools for summarizing and visualizing large, complex, high-dimensional data;
  • developing a general framework which quantifies topological changes using ideas from algebraic topology, algebra and category theory; and
  • working with collaborators to use these ideas to analyze data.

Alexander Dranishnikov

Geometry and Topology:  Coarse geometry, Geometric Group Theory, Coxeter groups, Cohomological dimension, Topology of manifolds, LS-category, Topological robotics.

Jed Keesling   

Topology, dynamical systems, biomathematical modeling, queuing theory, stochastic processes, computational methods, and applied mathematics. Biological Systems of Interest

  • Citrus Greening
  • Viral Dynamics
kpk Kevin Knudson   

Computational topology, discrete Morse theory, homology of linear groups, undergraduate education

Image92 Yuli Rudyak   

Algebraic Topology, Differential Topology, Symplectic Topology

Michael Catanzaro, Postdoctoral Associate

Applied topology, stochastic topology, mathematical physics

Michael Hull, Postdoctoral Associate

Geometric group theory

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