Research

Publication

Stable Persistent Homology Features of Dynamic Metric Space, in preprint (45 pages) (2018). https://arxiv.org/abs/1812.00949
Rank invariant for zigzag modules, in preprint (33 pages) (2018) https://arxiv.org/abs/1810.11517.
Formigrams: Clustering Summaries of Dynamic Data (9 pages) (2018), CCCG: The Canadian Conference on Computational Geometry. Download
Stable Signatures for Dynamic Metric Spaces via Zigzag Persistent Homology, in preprint (58 pages) (2017) https://arxiv.org/abs/1712.04064, Webpage on Description and demos.

Rank for arbitrary diagrams, Topology, Geometry, and Applications – Graduate Students (TAGGS) Seminar at OSU (November 2018).
Formigrams: Clustering Summaries of Dynamic Data, CCCG: The Canadian Conference on Computational Geometry 2018 (August 2018).
Stable Signatures for Dynamic Metric Spaces via Zigzag Persistent Homology: Joint Mathematics Sectional Meetings at the Ohio State (March 2018).
I have delievered more than 20 talks about various topics in topological data analysis and metric geometry in our group at OSU: https://research.math.osu.edu/networks/etc/group-meetings.html , https://people.math.osu.edu/memoli.2/amgts.html

(Upcoming) Geometric data analysis (May 2019) at University of Chicaco: https://stevanovichcenter.uchicago.edu/geometric-data-analysis/
(Upcoming) Workshop on Applied Topology at Kyoto University (January 2019)
Modeling and analysis of dynamic social networks (November 2018) at the Ohio State University
Tutorial on Multiparameter Persistence, Computation, and Applications at University of Minnesota (August 2018)
Theory and Foundations of TGDA at the Ohio State University (May 2018)
Joint Mathematics Meetings at San Diego (January 2018)
Applied and Computational Algebraic Topology at Hausdorff Reseach Institute for Mathematics (April 2017)
Dynamics and Geometry from High Dimensional Data at Carnegie Mellon University (March 2017)
TGDA at the Ohio State University (May 2016)