Carl Schildkraut

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20242026

most citedSemi-Autonomous Mathematics Discovery with Gemini: A Case Study on the Erdős Problems

3 citations · 4 across the 13 of their papers we have counts for

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5 papers · 1 filter

math.CO2025

Abelian structure in approximate groups and Alon's conjecture on Ramsey Cayley graphs

Carl Schildkraut

A result of Pyber states that every finite group $G$ contains an abelian subgroup whose order is quasi-polynomially large in $∣ G ∣$ . We prove a similar result for $K$ -app…

math.CO2025

Words with Repeated Letters in a Grid

Zachary Halberstam, Carl Schildkraut

Given a word $w$ , what is the maximum possible number of appearances of $w$ reading contiguously along any of the directions in ${- 1, 0, 1}^{d} ∖ {0}$ in a large…

math.CO2025

Statistics of Erdős-Rényi random numerical semigroups

Noah Kravitz, Santiago Morales, Carl Schildkraut

For $p > 0$ a small parameter, let $A \subseteq Z_{> 0}$ be a random subset where each positive integer is included independently with probability $p$ . We show that,…

math.CO2025

Rainbow Trees in Hypercubes

Nicholas Crawford, Maya Sankar, Carl Schildkraut +1

We prove that every proper edge-coloring of the $n$ -dimensional hypercube $Q_{n}$ contains a rainbow copy of every tree $T$ on at most $n$ edges. This result is best possible, as $Q_…

math.CO2025

Expansion in Distance Matrices

John Byrne, Jacob Johnston, Carl Schildkraut +1

The normalized distance Laplacian matrix $D^{L} (G)$ of a graph $G$ is a natural generalization of the normalized Laplacian matrix, arising from the matrix of pa…