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Faculty

Mathematics Faculty

Henry Adams

Applied topology, computational topology and geometry, combinatorial topology, metric geometry, machine learning, and sensor networks.

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Philip Boyland

Dynamical Systems, Classical and Fluid Mechanics

 

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.

Luca Di Cerbo

Differential and Algebraic Geometry, Geometric Topology

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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.

 

David Groisser

Differential geometry, Global analysis, Gauge theory, Applications of differential geometry to image-analysis

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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

Hubert Wagner

Data Science

Visiting Faculty

Michael Zarichnyi

Topology

Postdoctoral Faculty

Johnathan Bush

Topological Data Analysis

Mentor: Peter Bubenik