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.
I will be giving three lectures on Topological Data Analysis in the 38th Annual (Online) Workshop in Geometric Topology, June 15 – 17, 2021.
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.
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).
I was the Founding Director of the Applied Algebraic Topology Research Network.
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.
Phone: (352) 294-2342
Office: Little Hall 494
Mailing address: Department of Mathematics, PO Box 118105, University of Florida, Gainesville, FL 32611-8105