My research interests lie generally in the area of algebraic topology. Topology, which as been nicely described as “rubber sheet geometry”, is the branch of mathematics that studies which properties of shapes are preserved under continuous deformations. For example, deformations that involve stretching or bending, but no tearing or gluing. Algebraic topology brings the tools of abstract algebra (groups and homomorphisms, vector spaces and linear transformations, etc.) to the study of topological spaces.

I have recently become interested in applied and computational topology.

Below are scholarly articles, expository papers, and a few presentations that I’ve given.

Articles

Presentations

Expository Papers