Pitchayut Saengrungkongka

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20242026

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math.CO2025

Improved Bounds on Rainbow $k$ -partite Matchings

Pitchayut Saengrungkongka

Let $n$ , $s$ , and $k$ be positive integers. We say that a sequence $f_{1}, \dots, f_{s}$ of nonnegative integers is satisfying if for any collection of $s$ families $\mathcal F_1,\dots,\…

math.CO2025

On $t$ -intersecting Families of Spanning Trees

Pitchayut Saengrungkongka

We prove that there exists a constant $c > 0$ such that for all integers $2 \leq t \leq c n$ , if $\calA$ is a collection of spanning trees in $K_{n}$ such that any two intersect at at lea…

math.NT2025

Gluing Genus 1 and Genus 2 Curves Along $ℓ$ -torsion

Pitchayut Saengrungkongka, Noah Walsh

Let $Y$ be a genus $2$ curve over $Q$ . We provide a method to systematically search for possible candidates of a prime $ℓ \geq 3$ and a genus $1$ curve $X$ for which ther…

Improved Bounds on Rainbow k-partite Matchings

On t-intersecting Families of Spanning Trees

Gluing Genus 1 and Genus 2 Curves Along ℓ-torsion

Improved Bounds on Rainbow $k$ -partite Matchings

On $t$ -intersecting Families of Spanning Trees

Gluing Genus 1 and Genus 2 Curves Along $ℓ$ -torsion