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.
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 hiring a three-year postdoc as part of the Southeast Center for Mathematics and Biology. Here are the project details. Here is the UF MathJobs ad and here is the SCMB MathJobs ad. For my position, please apply to the UF MathJobs ad.
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.
Phone: (352) 294-2342
Office: Little Hall 410
Mailing address: Department of Mathematics, PO Box 118105, University of Florida, Gainesville, FL 32611-8105