Henry Shin

activity

20192026

most citedCurvature growth of some 4-dimensional gradient Ricci soliton singularity models

13 citations · 13 across the 11 of their papers we have counts for

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Showing 2026Show all

9 papers · 1 filter

math.CO2026

Iterated-sumset spectra: The complete exponent law and its rank geometry

Henry Shin

For integers $h, k \geq 1$ , let $h A$ be the $h$ -fold sumset of $A$ and put $R (h, k) = {∣ h A ∣ : A \subset Z, ∣ A ∣ = k}$ . Previously, the fixed-cardinality exponent law was k…

math.DG2026

Open full-metric formation and local marked first-order asymptotic moduli of FIK blowdown singularities

Henry Shin

We prove that the Feldman--Ilmanen--Knopf (FIK) blowdown singularity has a nonempty open nonlinear formation basin in the full space of smooth Riemannian metrics and, on a smaller…

math.AP2026

From rough local mass to logarithmic spectral ladders for damped waves

Henry Shin

We prove an exact inverse theorem for damped waves on $X = T \times Y$ with arbitrary bounded measurable transverse damping $a = a (x) \geq 0$ . Let $Θ_{a} (r)$ be the least average…

math.CO2026

A global girth obstruction for Garg--Mineyev taiko product structures

Henry Shin

Mineyev's taiko construction, in Garg--Mineyev's finite support-size formulation, gives a concrete route from finite support data to zero divisors and units in group rings of torsi…

math.CO2026

One extra edge forces Berge pancyclicity

Henry Shin

We resolve a question of Bailey, Hollars, Li and Luo. For all sufficiently large $n$ , let $r = ⌊(n - 1) /2 ⌋$ . We prove that the edges of any Hamiltonian Berge cycle in a sim…

math.CO2026

Exchange identities and symmetric slices of the valley Delta conjecture

Henry Shin

The valley Delta conjecture of Haglund, Remmel and Wilson predicts that the symmetric function $Δ_{e_{n - k - 1}}^{'} e_{n}$ equals a generating function over labelled Dyck paths with $k$ d…

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…