Research

Publications and Preprints

• With K. Ohm. "Quantitative finiteness of hyperplanes in hybrid manifolds". arXiv preprint.  Submitted. (2025)

• A. Sanchez. "Effective equidistribution of large dimensional measures on affine invariant submanifolds". arXiv preprint.  Submitted. (2023)

• With R. Gutiérrez-Romo and D. Lee. "Kontsevich-Zorich monodromy groups of translation covers of some platonic solids". To appear in Groups, Geometry and Dynamics.

• With J. Seong. "An avoidance principle and Margulis functions for expanding translates of unipotent orbits". Journal of Modern Dynamics. Vol. 20, 2024, pp. 409–439.

• With L. Kumanduri and J. Wang. "Slope Gap Distributions of Veech Surfaces". Algebraic & Geometric Topology. 24-2 (2024), 951-980. 

• With X. Gong*. "An arithmetic Kontsevich--Zorich monodromy of a symmetric origami in genus 4".  New York J. Math. Vol. 29 (2023) 1413–1424 .

• A. Sanchez. Gaps of saddle connection directions for some branched covers of tori. Erg. Theory & Dyn. Syst, Vol. 42(2022), no. 10, 3191-3245.

• With F. Bozgan, J. Spielberg, D. Stevens, C. E. Silva, and J. Wang. W-measurable sensitivity of semigroup actions. Colloq. Math. 163 (2021), no. 1, 113–129.

• With F. Bozgan, D. Stevens, C. E. Silva, and J. Wang. Subsequence rational ergodicity of rank-one transformations. Dyn. Sys. Vol. 30 (2015), no. 1, 70-84.

• With J. Morales.  Generic Extensions and Generic Polynomials for Multiplicative Groups. Journal of Algebra, Vol. 423 (2015), 405-421.

• With K. Ayers, X. Garcia, J. Kunze, T. Rudelius, S. Shao, and E. Speranza. Limit and Morse Sets for Deterministic Hybrid Systems. Qual. Theory Dyn. Syst. Vol. 12 (2013), no. 2, 335–360.