Henry Shin

activity

20192026

collaborators

8 papers

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…