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Creators/Authors contains: "Mullane, Scott"

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  1. ; ; ; (, Journal of the Institute of Mathematics of Jussieu)
    Abstract We provide a complete classification of Teichmüller curves occurring in hyperelliptic components of the meromorphic strata of differentials. Using a non-existence criterion based on how Teichmüller curves intersect the boundary of the moduli space we derive a contradiction to the algebraicity of any candidate outside of Hurwitz covers of strata with projective dimension one, and Hurwitz covers of zero residue loci in strata with projective dimension two. 
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    Free, publicly-accessible full text available July 1, 2026
  2. ; (, Bulletin of the London Mathematical Society)
    Abstract A flat vector bundle on an algebraic variety supports two natural definable structures given by the flat and algebraic coordinates. In this note, we show these two structures are compatible, subject to a condition on the local monodromy at infinity that is satisfied for all flat bundles underlying variations of Hodge structures. 
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