![Ellen Gasparovic Head Shot](/sites/default/files/styles/medium/public/union-marketing-layer/202003/gasparoe.jpg?itok=9cU12-C_)
Ellen Gasparovic
Research 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.
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Academic credentials
B.A., College of the Holy Cross; Ph.D., University of North Carolina at Chapel Hill![Bailey Hall](/sites/default/files/styles/contact/public/mathematics/201903/bailey-hall.jpg?itok=QHBlyEQt)
Bailey Hall 202
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