Paige Hillen

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math.GT2026

Every Weak Perron Number is an End-Periodic Stretch Factor

Paige Hillen, Marissa Loving, Chenxi Wu

Given any weak Perron number $λ$ , we construct an end-periodic homeomorphism $f : Σ \to Σ$ with Handel-Miller stretch factor equal to $λ$ where $Σ$ is a connected infinite-typ…

math.GT2024

Non-Uniform Lattices of Large Systole Containing a Fixed 3-Manifold Group

Paige Hillen

Let $d$ be a square free positive integer and $Q (d)$ a totally real quadratic field over $Q$ . We show there exists an arithmetic lattice L in $SL(8,\mathbb…