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Creators/Authors contains: "Loving, Marissa"

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  1. ; (, Proceedings of the American Mathematical Society)
    Given an end-periodic homeomorphism f : S →<#comment/> S f: S \to S we give a lower bound on the Handel–Miller stretch factor of f f in terms of thecore characteristic of f f , which is a measure of topological complexity for an end-periodic homeomorphism. We also show that the growth rate of this bound is sharp. 
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    Free, publicly-accessible full text available July 18, 2026
  2. ; ; ; ; (, arXiv.org)
    Accepted Manuscript Full Text Available
  3. ; ; ; (, Geometriae Dedicata)
    Full Text Available 
  4. ; ; ; ; ; ; (, Michigan Mathematical Journal)
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  5. ; (, Glasnik Matematicki)
    In this note we make progress toward a conjecture of Durham–Fanoni–Vlamis, showing that every infinite-type surface with fi­ni­te-invariance index \(1\) and no nondisplaceable compact subsurfaces fails to have a good graph of curves, that is, a connected graph where vertices represent homotopy classes of essential simple closed curves and with a natural mapping class group action having infinite diameter orbits. Our arguments use tools developed by Mann–Rafi in their study of the coarse geometry of big mapping class groups. 
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    Full Text Available 
  6. ; (, Notices of the American Mathematical Society)
    Accepted Manuscript Full Text Available
  7. ; ; ; ; ; ; ; (, Applicable Algebra in Engineering, Communication and Computing)
    Full Text Available 
  8. ; ; ; ; ; (, Journal of Knot Theory and Its Ramifications)
    In this work, we find a closed form formula for the braid index of an [Formula: see text]-bridge braid, a class of positive braid knots which simultaneously generalizes torus knots, 1-bridge braids, and twisted torus knots. Our proof is elementary, effective, and self-contained, and partially recovers work of Birman–Kofman. Along the way, we show that the disparate definitions of twisted torus knots in the literature agree. 
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    Full Text Available 
  9. ; ; ; (, Journal of Topology)
    Abstract Given an irreducible, end‐periodic homeomorphism of a surface with finitely many ends, all accumulated by genus, the mapping torus, , is the interior of a compact, irreducible, atoroidal 3‐manifold with incompressible boundary. Our main result is an upper bound on the infimal hyperbolic volume of in terms of the translation length of on the pants graph of . This builds on work of Brock and Agol in the finite‐type setting. We also construct a broad class of examples of irreducible, end‐periodic homeomorphisms and use them to show that our bound is asymptotically sharp. 
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  10. ; (, Glasnik Matematicki)
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