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20122026
most citedPeriodic Points in Genus Two: Holomorphic Sections over Hilbert Modular Varieties, Teichmuller Dynamics, and Billiards

6 citations · 16 across the 12 of their papers we have counts for

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math.AG2026

Components of strata of k-differentials and their orbit closures

Paul Apisa, Juliet Aygun

We obtain a complete classification of components of strata of holomorphic and meromorphic k-differentials. We show that, when genus is at least two and outside of explicit excepti…

math.AG2025

Holonomy of affine surfaces

Paul Apisa, Matt Bainbridge, Jane Wang

We identify the moduli space of complex affine surfaces with the moduli space of regular meromorphic connections on Riemann surfaces and show that it satisfies a corresponding univ…