## Welcome.

The TGDA group is an interdepartmental group at OSU, with faculty from with CSE, Mathematics, and Statistics whose interests span topics in the intersection of Topology, Geometry, Probability, Statistics, and Data Analysis.

TGDA@OSU on YouTube: [here].

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Our interests span the following topics:

- clustering algorithms and Reeb graph / dendrogram reconstruction
- computational topology
- surface/manifold reconstruction and mesh generation
- computing optimal homology generators
- metric measure spaces and shape matching
- low-distortion metric embeddings
- Morse theory
- random graphs and percolation theory
- random topology
- shape analysis
- topological graph theory
- geometric approximation algorithms
- persistent homology and cohomology, and applications
- spectral and geometric methods in machine learning and data analysis
- geometric and topological methods in data analysis