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math.GT2025
Ends of the strata of differentials
Benjamin Dozier, Samuel Grushevsky, Myeongjae Lee
We enumerate the ends of each stratum of meromorphic 1-forms on Riemann surfaces with prescribed multiplicities of zeroes and poles. Our proof uses degeneration techniques based on…
math.GT2024
The boundary of a totally geodesic subvariety of moduli space
Frederik Benirschke, Benjamin Dozier, John Rached
We consider subvarieties of , the moduli space of genus Riemann surfaces with marked points, that are totally geodesic with respect to the Teichmülle…
math.GT2024
Compactifications of strata of differentials
Benjamin Dozier
In this informal expository note, we quickly introduce and survey compactifications of strata of holomorphic 1-forms on Riemann surfaces, i.e. spaces of translation surfaces. In th…