## Faculty

## Mathematics Faculty

photo35-767x1024 Louis Block- Dynamical systems and connections between dynamics and topology.
- One-dimensional dynamics and chaos theory.

Dynamical Systems, Classical and Fluid Mechanics

DSC_9395-copy-300x426 Peter BubenikMy 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 KeeslingTopology, dynamical systems, biomathematical modeling, queuing theory, stochastic processes, computational methods, and applied mathematics. *Biological Systems of Interest*

- Citrus Greening
- Viral Dynamics

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

Image92 Yuli RudyakAlgebraic Topology, Differential Topology, Symplectic Topology

### Michael Catanzaro, Postdoctoral Associate

Applied topology, stochastic topology, mathematical physics

### Michael Hull, Postdoctoral Associate

Geometric group theory

## Social links