We study a range of problems in topological data analysis. At the graduate level and beyond, our main focus is on developing tools and understanding their properties. At the undergraduate level the main focus is on applying topological data analysis. However, there is a mix of these aspects at all levels.
In addition to using algebraic topology, there are connections with many areas of mathematics, including metric geometry, linear algebra, commutative algebra, category theory, representation theory, real analysis, and probability. There are crucial connections with statistics, algorithms and machine learning. We are also interested in applications in biology, geospatial imaging, physics and other fields.
Interested in joining?
If you are interested in joining my group, please take a look at my Topological Data Analysis page, my Research page, and some of the references therein.