Josh Southerland

Heilbronn Research Fellow

Preprints

  1. Affine mappings of translation surfaces: effective weak mixing, with C. Judge, In preparation
  2. Affine mappings of translation surfaces: shrinking targets and diophantine properties, with C. Judge, arXiv
  3. Cylinder decompositions on geometric armadillo tails, with D. Lee, 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 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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