Josh Southerland

Zorn Postdoctoral Fellow

Preprints

  1. Diophantine properties of affine diffeomorphisms of lattice surfaces, In preparation
  2. Effective weak mixing of the group affine diffeomorphisms on a lattice surface, In preparation
  3. Cylinder decompositions on geometric armadillo tails, arXiv:2412.03535, submitted
  4. An effective slope gap distribution for lattice surfaces, with T. Osman and J. Wang arXiv:2409.15660, submitted
  5. Superdensity and bounded geodesics in moduli space, arXiv:2201.10156, submitted

Published

  1. Shrinking targets on primitive square-tiled surfaces, New York Journal of Mathematics, pdf
  2. Quantitative density statements for translation surfaces, (Doctoral Thesis) pdf
  3. The Laplacian: An Exploration and Historical Survey Tailored for Translation Surfaces, (Master's Thesis) pdf

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