Josh Southerland

Heilbronn Research 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, submitted
  4. Superdensity and bounded geodesics in moduli space, arXiv, submitted

Published

  1. An effective slope gap distribution for lattice surfaces, with T. Osman and J. Wang, Discrete and Continuous Dynamical Systems, (2025) pdf, arXiv
  2. Shrinking targets on primitive square-tiled surfaces, New York Journal of Mathematics, (2024) pdf

PhD Thesis / Masters Thesis

  1. Quantitative density statements for translation surfaces, (Doctoral Thesis) pdf
  2. The Laplacian: An Exploration and Historical Survey Tailored for Translation Surfaces, (Master's Thesis) pdf

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