Henry Shin

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20192026

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math.NT2026

Logarithmic source curves in polynomial fiber products

Henry Shin

Let $k$ be a field of characteristic zero and let $f, g \in k [x]$ be nonconstant. We study rational lifts of $f (a)$ through $g$ that do not arise from a composition $f = g \circ h$ . To…

math.NT2026

Hilbert-90 quotient maps, torsion defects, and symmetric monodromy

Henry Shin

Let $τ (z) = - 1 - z^{- 1}$ . We study the reduced rational maps $h_{d} : P^{1} \to P^{1}$ obtained by cancelling common factors in $H_{d}^{raw} (z) = z^{d} (τ (z)^{d} - 1) / (z^{d} - 1)$ . These…

math.NT2026

Coset-refined trace statistics, nodal characters, and affine branches in cubic norm tori

Henry Shin

Prescribed trace/norm estimates and Soto-Andrade-type sums control whole fibers or related global character sums. We prove a coset-refined trace theorem for cubic norm-one tori. Le…