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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
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