I am broadly interested in geometric and topological data analysis, an area of mathematics at the intersection of many mathematical fields: geometry, topology, linear algebra, optimization, computing, and machine learning. I am particularly interested in developing and applying tools from computational geometry and topology to a wide variety of data sets from hyperspectral imagery to biological aggregations.

I am a founder of the Women in Computational Topology (WinCompTop) listserv (join by sending a blank email to:<WinCompTop+subscribe@googlegroups.com>) and was the PI of the NSF grant to fund the inaugural WinCompTop Workshop at the IMA in August of 2016. For a description of the program, see this write-up in the AWM newsletter.

I also am the PI of the NSF-CBMS grant to fund the regional research conference Topological Data Analysis: Theory and Applications held at Macalester College in June of 2017.

I am a founder of the Women in Computational Topology (WinCompTop) listserv (join by sending a blank email to:<WinCompTop+subscribe@googlegroups.com>) and was the PI of the NSF grant to fund the inaugural WinCompTop Workshop at the IMA in August of 2016. For a description of the program, see this write-up in the AWM newsletter.

I also am the PI of the NSF-CBMS grant to fund the regional research conference Topological Data Analysis: Theory and Applications held at Macalester College in June of 2017.

Manuscripts

Note: An asterisk denotes an undergraduate student co-author.

17. On Homotopy Types of Vietoris-Rips Complexes of Metric Gluings (Preprint)
16. Analyzing Collective Motion with Machine Learning and Topology (Preprint) 15. Local Versus Global Distances for Zigzag Persistence Modules (Preprint) 14. The Relationship Between the Intrinsic Cech and Persistence Distortion Distances for Metric Graphs (Preprint) 13. Assessing Biological Model Validity using Topological Data Analysis (Preprint) 12. Vietoris-Rips and Čech Complexes of Metric Gluings 11. Mind the Gap: A Study in Global Development through Persistent Homology (Preprint) 10. A Complete Characterization of the 1-Dimensional Intrinsic Cech Persistence Diagrams for Metric Graphs (Preprint) 9. Sparse Locally Linear Embedding 8. Stratifying High Dimensional Data Based on Proximity to the Convex Hull Boundary 7. Persistence Images: A Stable Vector Representation of Persistent Homology 6. Persistent Homology on Grassmann Manifolds for Analysis of Hyperspectral Movies (Preprint) 5. Topological Data Analysis of Biological Aggregation Models 4. An Application of Persistent Homology on Grassmann Manifolds for the Detection of Signals in Hyperspectral Imagery (Preprint) 3. Reflections on Math Students' Circles: Two Personal Stories from Colorado 2. Flipped Calculus: A Study of Student Performance and Perceptions 1. On the Strengthening of Topological Signals in Persistent Homology through Vector Bundle Based Maps |
M. Adamaszek, H. Adams, E. Gasparovic, M. Gommel, E. Purvine, R. Sazdanovic, B. Wang, Y. Wang, and L. Ziegelmeier
D. Bhaskar, A. Manhart, J. Milzman, J. Nardini, K. Storey, C. Topaz, and L. Ziegelmeier E. Gasparovic, M. Gommel, E. Purvine, R. Sazdanovic, B. Wang, Y. Wang, and L. Ziegelmeier E. Gasparovic, M. Gommel, E. Purvine, R. Sazdanovic, B. Wang, Y. Wang, and L. Ziegelmeier M. Ulmer*, L. Ziegelmeier, and C. Topaz M. Adamaszek, H. Adams, E. Gasparovic, M. Gommel, E. Purvine, R. Sazdanovic, B. Wang, Y. Wang, and L. Ziegelmeier A. Banman* and L. Ziegelmeier E. Gasparovic, M. Gommel, E. Purvine, R. Sazdanovic, B. Wang, Y. Wang, and L. Ziegelmeier Ziegelmeier, M. Kirby, and C. Peterson L. Ziegelmeier, M. Kirby, and C. Peterson H. Adams, S. Chepushtanova, T. Emerson, E. Hanson, M. Kirby, F. Motta, R. Neville, C. Peterson, P. Shipman, and L. Ziegelmeier S. Chepushtanova, M. Kirby, C. Peterson, and L. Ziegelmeier D. Topaz, L. Ziegelmeier, and T. Halverson S. Chepushtanova, M. Kirby, C. Peterson, and L. Ziegelmeier D. White and L. Ziegelmeier L. Ziegelmeier and C. Topaz E. Hanson, F. Motta, C. Peterson, and L. Ziegelmeier |
Under Review
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