## Research

### Publications and Preprints

- Barcode Embeddings for Metric Graphs (with Steve Oudot) [arXiv], in which we study the inverse problem for the intrinsic persistent homology transform on metric graphs.
- Relaxing the Integral Text: A Challenge for the Advanced Calculus Student (with Paul Carter). [College Mathematics Journal]

### Research Overview

My research interests are in geometry, topology, and their applications. In particular, I am interested in stability and inverse results for topological and geometric transforms in applied algebraic topology.