My Research Group

Our research

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.

Current Members


Leo Betthauser

  • Graduate student

Jose Bouza

  • Undergraduate student

Peter Bubenik

  • Faculty

Parker Edwards

  • Graduate student

Alexander Elchesen

  • Graduate student

Iryna Kuz

  • Graduate student

Nikola Milicevic

  • Graduate student

Alexander Wagner

  • Graduate student
  • topological data analysis, machine learning, representation theory


Former Postdocs


Michael Catanzaro

  • Group member as postdoc 2016-2018
  • Assistant Professor, Iowa State University
  • Applied topology, stochastic topology, mathematical physics

Former Undergraduates


Dhruv Patel

  • Group member as undergraduate student 2015-2017 and graduate student 2017-2018
  • Graduate student
  • University of North Carolina at Chapel Hill, Department of Statistics

Sam Rizzo

  • Group member as undergraduate student 2016-2018
  • Graduate student
  • Vanderbilt University, Department of Mathematics

Benjamin Whittle

  • Group member as undergraduate student 2015-2018
  • working for Ernst and Young

Past Visitors


Tane Vergili

  • Group member as visiting researcher, 2016-2017
  • Faculty at Ege University, Turkey, Department of Mathematics