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The Sydler π/4 polyhedron: a polyhedron with all dihedral angles being right except for one which is 45 degrees.

In preparation

  1. Tiling Hyperbolic Manifolds: Algorithms and Applications
  2. Verified Length Spectrum and Margulis number for Hyperbolic 3-Manifolds
    with Robert C. Haraway III, Neil R. Hoffman, Maria Trnkova
  3. Drilling Geodesics in Hyperbolic 3-Manifolds and the Closed Isometry Signature

Articles

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Source Code and Data accompanying the Articles

Videos or Slides of Talks

  • Ptolemy: PGL(n,C)-representations of 3-manifolds (Video)
    Topology, Geometry and Group Theory, Informed by Experiment, ICERM, Brown University, 2013 (Conference Webpage)
  • Principial Congruence Links (Slides)
    UC Berkeley, 2011

Thesis