Faculty

Mathematics Faculty

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Louis Block

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

Dynamical Systems, Classical and Fluid Mechanics

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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.

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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
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Kevin Knudson

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

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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