Topological Data Analysis

Professor Peter Bubenik

University of Florida
Barton Lectures in Computational Mathematics


Date: Wednesday, February 24, 2021
Time: 4:00 pm - 5:00 pm
Location: Virtual through Zoom
Dr. Peter Bubenik obtained his Ph.D. at the University of Toronto in 2003 and now he is a Professor in the Department of Mathematics at the University of Florida. He is also a researcher in the NSF-Simons Southeast Center for Mathematics and Biology and he was the founding director of the Applied Algebraic Topology Research Network. In his research, he develops new tools for summarizing and visualizing large, complex, high-dimensional data by combining ideas from topology, statistics and machine learning, and he works with collaborators to use these ideas to analyze data.

Topological data analysis is an approach to problems in data science based on certain tools and ideas from pure mathematics that are not well known outside of mathematics. I will give an introduction to topological data analysis in which I will highlight some of its many connections to various branches of mathematics. I will also discuss how it may be combined with machine learning and used in applications.