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Research

Publications and Preprints

  1. Inverse Problems in Topological Persistence (with Steve Oudot) [arXiv], a survey on inverse problems in applied topology (submitted to Proceedings of Abel Symposium).
  2. 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.
  3. 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.