Job Title
Assistant Professor of Mathematics
Ellen Gasparovic Head Shot
Office Location
Bailey Hall
Room
107B
Ph.D., University of North Carolina at Chapel Hill
B.A., College of the Holly Cross
Special Interests
I use techniques from algebraic and differential topology that are inspired by questions in image analysis and high-dimensional data analysis. On the image and shape analysis side, one of the main tools I have used is Blum’s medial axis, a skeleton-like topological structure that captures the shape and geometric properties of a region. On the data analysis side, the techniques I utilize fall under the heading of applied and computational topology, a relatively new branch of mathematics that focuses on discovering global and local structure within a dataset and finding meaning in the “shape” of the data. I have worked on applications of topology to problems arising in image recognition, machine learning, and geometric data modeling. In recent work, I have focused extensively on topological characterizations and summaries for metric graphs and simplicial complexes associated to them.