Daewoong Cheong

activity

20062026

most citedOrbifold Quasimap Theory

5 citations · 11 across the 12 of their papers we have counts for

collaborators

17 papers

math.CO2026

The Mattila-Sjölin problem for the k-distance over a finite field

Daewoong Cheong, Hunseok Kang, Jinbeom Kim

Let $F_{q}^{d}$ be a $d$ -dimensional vector space over a finite field $F_{q}$ with $q$ elements. For $x \in F_{q}^{d}$ , let $∥ x ∥ = x_{1}^{2} + \dots + x_{d}^{2}$ . By abuse of…

math.CO2025

Additive structures imply more distances in $F_{q}^{d}$

Daewoong Cheong, Gennian Ge, Doowon Koh +3

For a set $E \subseteq F_{q}^{d}$ , the distance set is defined as $Δ (E) := {∥ x - y ∥ : x, y \in E}$ , where $∥ \cdot ∥$ denotes the stand…

math.CO2025

A functional Loomis-Whitney type inequality in the Heisenberg group and projection theorems over finite fields

Daewoong Cheong, Thang Pham, Dung The Tran

We establish functional Loomis--Whitney type inequalities in the finite Heisenberg group $H^{n} (F_{q})$ . For $n = 1$ , we determine the sharp region of exponents $(u_1,u…

math.AG2023

Counting maximal isotropic subbundles of orthogonal bundles over a curve

Daewoong Cheong, Insong Choe, George H. Hitching

Let $C$ be a smooth projective curve and $V$ an orthogonal bundle over $C$ . Let $\IQeV$ be the isotropic Quot scheme parameterizing degree $e$ isotropic subsheaves of maximal rank…

math.CA2021

Mattila--Sjölin type functions: A finite field model

Daewoong Cheong, Doowon Koh, Thang Pham +1

Let $ϕ (x, y) : R^{d} \times R^{d} \to R$ be a function. We say $ϕ$ is a Mattila--Sjölin type function of index $γ$ if $γ$ is the smallest number satisfying…

math.NT2020

An asymmetric bound for sum of distance sets

Daewoong Cheong, Doowon Koh, Thang Pham

For $E \subset F_{q}^{d}$ , let $Δ (E)$ denote the distance set determined by pairs of points in $E$ . By using additive energies of sets on a paraboloid, Koh, Pham, Shen, and Vi…