Peter Bubenikpeter

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.

Fall 2024 Southeastern Sectional Meeting of the AMS

I will be giving an Invited Address and organizing a Special Session on TDA at the Fall 2024 Southeastern Sectional Meeting of the American Mathematical Society to be held at Georgia Southern University in Savannah, GA on October 5-6, 2024.

UF TDA Conference

UF TDA 2024 was held February 8-9, 2024. Previous editions: UF TDA 2023, UF TDA 2022, UF TDA 2020.

NSF-CBMS Conference

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

Research Network

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

Research Center

I am a researcher in the NSF-Simons Southeast Center for Mathematics and Biology. It is supported by at $10M grant from the National Science Foundation and Simons Foundation. Here are the announcements from Georgia Tech, the Simons Foundation, the National Science Foundation, and the University of Florida.

Journals

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

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).

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.

Publicity

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

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