Papers and Preprints

  1. D. Aulicino, Howard Masur, Huiping Pan, and Weixu Su, Counting Saddle Connections on Hyperelliptic Translation Surfaces with a Slit. arXiv:2601.15993, (Submitted). Preprint: 1-68 (2026).
  2. D. Aulicino, Aaron Calderon, Carlos Matheus, Nick Salter, and Martin Schmoll, (2026), Siegel-Veech constants for cyclic covers of generic translation surfaces. J. London Math. Soc., 113: e70413. arXiv:2409.06600
  3. Paul Apisa and D. Aulicino, Algebraically Primitive Invariant Subvarieties with Quadratic Field of Definition. arXiv:2404.10273, (Submitted). Preprint: 1-21 (2024).
  4. D. Aulicino, Frederik Benirschke, and Chaya Norton, A Zero Lyapunov Exponent in Genus Implies the Eierlegende Wollmilchsau, Annales Henri Lebesgue, Volume 7 (2024), pp. 207-237. arXiv:2203.00841
  5. Jayadev S. Athreya, D. Aulicino, and Harry Richman, Counting Tripods on the Torus, Arnold Math. J. 9 (2023), no. 3, 359-379. arXiv:2111.01891
  6. D. Aulicino, and Chaya Norton, Shimura-Teichmüller Curves in Genus 5. J. Mod. Dyn. 16 (2020), 255 288. arXiv:1904.01625
    Sage Notebooks for viewing
    Sage Files for download (.zip)
  7. D. Aulicino, A new approach to the automorphism group of a Platonic surface. Rocky Mountain J. Math. 50 (2020), no. 1, 9 23. arXiv:1811.07052.
    Sage Notebook for viewing
    Sage Notebook for download
  8. Jayadev S. Athreya, D. Aulicino, W. Patrick Hooper and with an appendix by Anja Randecker (2022) Platonic Solids and High Genus Covers of Lattice Surfaces, Experimental Mathematics, 31:3, 847-877. arXiv:1811.04131
    Website with Auxiliary Files
  9. Jayadev S. Athreya and D. Aulicino, A Trajectory from a Vertex to Itself on the Dodecahedron. The American Mathematical Monthly, 126:2, 161-162 (2019). arXiv:1802.00811
  10. D. Aulicino and Duc-Manh Nguyen, Rank 2 Affine Manifolds in Genus 3. J. Differential Geom. 116 (2020), no. 2, 205-280. arXiv:1612.06970
  11. D. Aulicino, The Cantor Bendixson Rank of Certain Bridgeland Smith Stability Conditions. Comm. Math. Phys. 357 (2018), no. 2, 791 809. arXiv:1512.02336
  12. D. Aulicino and Duc-Manh Nguyen, Rank two affine submanifolds in \( \mathcal{H}(2,2)\) and \(\mathcal{H}(3,1)\). Geom. Topol. 20 (2016), no. 5, 2837-2904. arXiv:1501.03303
  13. D. Aulicino, Affine Manifolds and Zero Lyapunov Exponents in Genus 3. Geometric and Functional Analysis 25 (2015), no. 5, 1333-1370. arXiv:1409.5180
  14. D. Aulicino, Duc-Manh Nguyen, and Alex Wright, Classification of higher rank orbit closures in \(\mathcal{H}^{odd}(4)\). J. Eur. Math. Soc. (JEMS) 18 (2016), no. 8, 1855-1872. arXiv:1308.5879
  15. D. Aulicino, Affine Invariant Submanifolds with Completely Degenerate Kontsevich-Zorich Spectrum. Ergodic Theory Dynam. Systems 38 (2018), no. 1, 10-33. arXiv:1302.0913
  16. D. Aulicino, Teichmüller Discs with Completely Degenerate Kontsevich-Zorich Spectrum. Commentarii Mathematici Helvetici 90 (2015), no. 3, 573-643. arXiv:1205.2359