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.

Research Network

I was the Founding Director of the Applied Algebraic Topology Research Network. It is supported by the Institute for Mathematics and its Applications.


I am an Associate Editor of the SIAM Journal on Applied Algebra and Geometry (SIAGA).


I obtained my Ph.D. at the University of Toronto in 2003 and was a postdoc at the Ecole Polytechnique Federale de Lausanne (EPFL) in Switzerland from 2003 to 2005. From 2005 to 2015 I was a professor at Cleveland State University, and since 2015, I am a professor at the University of Florida.

Contact Information

Phone: (352) 294-2342
Office: Little Hall 410

Office Hours: MF 12:50pm-1:40pm

Mailing address: Department of Mathematics, PO Box 118105, University of Florida, Gainesville, FL 32611-8105