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Creators/Authors contains: "Stover, Matthew"

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  1. ; ; ; (, Ergodic Theory and Dynamical Systems)
    Abstract We investigate and compare applications of the Zilber–Pink conjecture and dynamical methods to rigidity problems for arithmetic real and complex hyperbolic lattices. Along the way, we obtain new general results about reconstructing a variation of Hodge structure from its typical Hodge locus that may be of independent interest. Applications to Siu’s immersion problem are also discussed, the most general of which only requires the hypothesis that infinitely many closed geodesics map to proper totally geodesic subvarieties under the immersion. 
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    Free, publicly-accessible full text available August 1, 2026
  2. (, Journal of Topology and Analysis)
    The Wiman–Edge pencil is a pencil of genus 6 curves for which the generic member has automorphism group the alternating group [Formula: see text]. There is a unique smooth member, the Wiman sextic, with automorphism group the symmetric group [Formula: see text]. Farb and Looijenga proved that the monodromy of the Wiman–Edge pencil is commensurable with the Hilbert modular group [Formula: see text]. In this note, we give a complete description of the monodromy by congruence conditions modulo 4 and 5. The congruence condition modulo 4 is new, and this answers a question of Farb–Looijenga. We also show that the smooth resolution of the Baily–Borel compactification of the locally symmetric manifold associated with the monodromy is a projective surface of general type. Lastly, we give new information about the image of the period map for the pencil. 
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  3. ; ; ; (, Inventiones mathematicae)
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  4. ; (, Annales de l'Institut Fourier)
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  5. ; (, American Journal of Mathematics)
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  6. ; (, Michigan Mathematical Journal)
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  7. ; (, Pure and Applied Mathematics Quarterly)
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  8. ; ; ; (, Annals of mathematics)
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  9. ; ; ; (, Journal of the European Mathematical Society)
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  10. ; (, Mathematische Zeitschrift)
    null (Ed.)
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