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 and geometric changes using ideas from topology, algebra, analysis, 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 an Associate Editor of the SIAM Journal on Applied Algebra and Geometry (SIAGA).
I am also an Editor at Homology, Homotopy and Applications (HHA).
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 410
Mailing address: Department of Mathematics, PO Box 118105, University of Florida, Gainesville, FL 32611-8105