The Faculty of Science 2018/2019 Interdisciplinary Speaker Series: Fundamental Science the Launchpad to Innovation

Guest Speaker: Dr. Peter Bubenik, Associate Professor of Mathematics, University of Florida.

Founding Director, Applied Algebraic Topology Research Network, funded by the IMA

In many applications, such as medical images for example, the data has a complicated geometric structure whose shape is crucial for understanding the data, but difficult to quantify using traditional methods. I will give an introduction to Topological Data Analysis, which uses ideas from mathematics to provide summaries of the shape of data. I will show how these tools can be combined with statistics and machine learning and apply this computational pipeline to several biological examples.

Bio:

Peter Bubenik was an undergraduate at the University of Guelph, obtained his Ph.D. from the University of Toronto in 2003, and was a postdoc at the Ecole Polytechnique Federale de Lausanne (EPFL) in Switzerland for two years. He spent ten years at Cleveland State University, and since 2015, has been at the University of Florida. His research is on applied topology and more specifically, topological data analysis, which studies the shape of data. It consists of: combining ideas from mathematics, statistics, and computer science to develop new tools for summarizing and visualizing large, complex, high-dimensional data; developing a general framework which quantifies topological changes using ideas from topology and algebra; and working with collaborators to use these ideas to analyze data.

All are welcome to attend. Refreshments to follow lecture.