Papers and Preprints
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arXiv
D. Aulicino, Howard Masur, Huiping Pan, and Weixu Su, Counting Saddle Connections on Hyperelliptic Translation Surfaces with a Slit. (Submitted). Preprint: 1–68 (2026).
@misc{AulicinoMasurPanSu2026, author = {Aulicino, David and Masur, Howard and Pan, Huiping and Su, Weixu}, title = {Counting Saddle Connections on Hyperelliptic Translation Surfaces with a Slit}, year = {2026}, eprint = {2601.15993}, archiveprefix = {arXiv} } -
arXiv
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.
@article{AulicinoCalderonMatheusSalterSchmoll2026, author = {Aulicino, David and Calderon, Aaron and Matheus, Carlos and Salter, Nick and Schmoll, Martin}, title = {Siegel--Veech constants for cyclic covers of generic translation surfaces}, journal = {J. London Math. Soc.}, volume = {113}, pages = {e70413}, year = {2026}, eprint = {2409.06600}, archiveprefix = {arXiv} } -
arXiv
Paul Apisa and D. Aulicino, Algebraically Primitive Invariant Subvarieties with Quadratic Field of Definition. (Submitted). Preprint: 1–21 (2024).
@misc{ApisaAulicino2024, author = {Apisa, Paul and Aulicino, David}, title = {Algebraically Primitive Invariant Subvarieties with Quadratic Field of Definition}, year = {2024}, eprint = {2404.10273}, archiveprefix = {arXiv} } -
arXiv
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.
@article{AulicinoBenirschkeNorton2024, author = {Aulicino, David and Benirschke, Frederik and Norton, Chaya}, title = {A Zero Lyapunov Exponent in Genus Implies the Eierlegende Wollmilchsau}, journal = {Annales Henri Lebesgue}, volume = {7}, pages = {207--237}, year = {2024}, eprint = {2203.00841}, archiveprefix = {arXiv} } -
arXiv
Jayadev S. Athreya, D. Aulicino, and Harry Richman, Counting Tripods on the Torus, Arnold Math. J. 9 (2023), no. 3, 359–379.
@article{AthreyaAulicinoRichman2023, author = {Athreya, Jayadev S. and Aulicino, David and Richman, Harry}, title = {Counting Tripods on the Torus}, journal = {Arnold Math. J.}, volume = {9}, number = {3}, pages = {359--379}, year = {2023}, eprint = {2111.01891}, archiveprefix = {arXiv} } -
arXiv
D. Aulicino and Chaya Norton, Shimura–Teichmüller Curves in Genus 5. J. Mod. Dyn. 16 (2020), 255–288.
@article{AulicinoNorton2020, author = {Aulicino, David and Norton, Chaya}, title = {Shimura--Teichm{\"u}ller Curves in Genus 5}, journal = {J. Mod. Dyn.}, volume = {16}, pages = {255--288}, year = {2020}, eprint = {1904.01625}, archiveprefix = {arXiv} } -
arXiv
D. Aulicino, A new approach to the automorphism group of a Platonic surface. Rocky Mountain J. Math. 50 (2020), no. 1, 9–23.
@article{Aulicino2020Platonic, author = {Aulicino, David}, title = {A new approach to the automorphism group of a Platonic surface}, journal = {Rocky Mountain J. Math.}, volume = {50}, number = {1}, pages = {9--23}, year = {2020}, eprint = {1811.07052}, archiveprefix = {arXiv} } -
arXiv
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.
@article{AthreyaAulicinoHooper2022, author = {Athreya, Jayadev S. and Aulicino, David and Hooper, W. Patrick}, title = {Platonic Solids and High Genus Covers of Lattice Surfaces}, journal = {Experimental Mathematics}, volume = {31}, number = {3}, pages = {847--877}, year = {2022}, eprint = {1811.04131}, archiveprefix = {arXiv} } -
arXiv
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).
@article{AthreyaAulicino2019, author = {Athreya, Jayadev S. and Aulicino, David}, title = {A Trajectory from a Vertex to Itself on the Dodecahedron}, journal = {The American Mathematical Monthly}, volume = {126}, number = {2}, pages = {161--162}, year = {2019}, eprint = {1802.00811}, archiveprefix = {arXiv} } -
arXiv
D. Aulicino and Duc-Manh Nguyen, Rank 2 Affine Manifolds in Genus 3. J. Differential Geom. 116 (2020), no. 2, 205–280.
@article{AulicinoNguyen2020, author = {Aulicino, David and Nguyen, Duc-Manh}, title = {Rank 2 Affine Manifolds in Genus 3}, journal = {J. Differential Geom.}, volume = {116}, number = {2}, pages = {205--280}, year = {2020}, eprint = {1612.06970}, archiveprefix = {arXiv} } -
arXiv
D. Aulicino, The Cantor–Bendixson Rank of Certain Bridgeland–Smith Stability Conditions. Comm. Math. Phys. 357 (2018), no. 2, 791–809.
@article{Aulicino2018CantorBendixson, author = {Aulicino, David}, title = {The Cantor--Bendixson Rank of Certain Bridgeland--Smith Stability Conditions}, journal = {Comm. Math. Phys.}, volume = {357}, number = {2}, pages = {791--809}, year = {2018}, eprint = {1512.02336}, archiveprefix = {arXiv} } -
arXiv
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.
@article{AulicinoNguyen2016, author = {Aulicino, David and Nguyen, Duc-Manh}, title = {Rank two affine submanifolds in $\mathcal{H}(2,2)$ and $\mathcal{H}(3,1)$}, journal = {Geom. Topol.}, volume = {20}, number = {5}, pages = {2837--2904}, year = {2016}, eprint = {1501.03303}, archiveprefix = {arXiv} } -
arXiv
D. Aulicino, Affine Manifolds and Zero Lyapunov Exponents in Genus 3. Geometric and Functional Analysis 25 (2015), no. 5, 1333–1370.
@article{Aulicino2015Affine, author = {Aulicino, David}, title = {Affine Manifolds and Zero Lyapunov Exponents in Genus 3}, journal = {Geometric and Functional Analysis}, volume = {25}, number = {5}, pages = {1333--1370}, year = {2015}, eprint = {1409.5180}, archiveprefix = {arXiv} } -
arXiv
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.
@article{AulicinoNguyenWright2016, author = {Aulicino, David and Nguyen, Duc-Manh and Wright, Alex}, title = {Classification of higher rank orbit closures in $\mathcal{H}^{odd}(4)$}, journal = {J. Eur. Math. Soc. (JEMS)}, volume = {18}, number = {8}, pages = {1855--1872}, year = {2016}, eprint = {1308.5879}, archiveprefix = {arXiv} } -
arXiv
D. Aulicino, Affine Invariant Submanifolds with Completely Degenerate Kontsevich–Zorich Spectrum. Ergodic Theory Dynam. Systems 38 (2018), no. 1, 10–33.
@article{Aulicino2018Affine, author = {Aulicino, David}, title = {Affine Invariant Submanifolds with Completely Degenerate Kontsevich--Zorich Spectrum}, journal = {Ergodic Theory Dynam. Systems}, volume = {38}, number = {1}, pages = {10--33}, year = {2018}, eprint = {1302.0913}, archiveprefix = {arXiv} } -
arXiv
D. Aulicino, Teichmüller Discs with Completely Degenerate Kontsevich–Zorich Spectrum. Commentarii Mathematici Helvetici 90 (2015), no. 3, 573–643.
@article{Aulicino2015Teichmuller, author = {Aulicino, David}, title = {Teichm{\"u}ller Discs with Completely Degenerate Kontsevich--Zorich Spectrum}, journal = {Commentarii Mathematici Helvetici}, volume = {90}, number = {3}, pages = {573--643}, year = {2015}, eprint = {1205.2359}, archiveprefix = {arXiv} }