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Department of Mathematics College of Liberal Arts and Sciences

Peter Bubenik

peter

Research

The focus of my work is Topological Data Analysis (TDA), which studies the “shape” of data.

I develop new tools for summarizing and visualizing large, complex, high-dimensional data by combining ideas from topology, statistics and machine learning.

I am developing foundations for quantifying the topological and geometric structure of data using ideas from topology, algebra, analysis, and category theory.

Furthermore, I work with collaborators to use these ideas to analyze data.

Research Network

I was the Founding Director of the Applied Algebraic Topology Research Network. I currently serve on its Advisory Board.

Journals

I am an Editor of Foundations of Computational Mathematics.
I am an Editor at Homology, Homotopy and Applications (HHA).
I am an Editorial Board Reviewer of Journal of Machine Learning Research (JMLR). 
I have been an Associate Editor of the SIAM Journal on Applied Algebra and Geometry (SIAGA).

Background

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 at Cleveland State University, and since 2015, I am at the University of Florida.

Events and Publicity

I gave an Invited Address at the Spring 2025 Southeastern Sectional Meeting of the American Mathematical Society.

I organized the conferences UF TDA 2024, UF TDA 2023, UF TDA 2022, UF TDA 2020.

I gave ten lectures, three group work sessions, and three computer labs at the NSF/CBMS conference on Topological Data Analysis and Persistence Theory at Valdosta State University, August 8-12, 2022.

See the following AAAS EurekAlert for news on one of my research projects.

Funding

My research is supported by the Division of Mathematical Sciences (DMS) of the National Science Foundation (NSF) through the program Computational and Data-Enabled Science and Engineering in Mathematical and Statistical Sciences (CDS&E-MSS).

Contact Information

Email: peter.bubenik@ufl.edu
Office: Little Hall 494

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