3 citations · 3 across the 4 of their papers we have counts for
5 papers
Semi-Autonomous Mathematics Discovery with Gemini: A Case Study on the Erdős Problems
Tony Feng, Trieu Trinh, Garrett Bingham +21
We present a case study in semi-autonomous mathematics discovery, using Gemini to systematically evaluate 700 conjectures labeled 'Open' in Bloom's Erdős Problems database. We empl…
Abelian structure in approximate groups and Alon's conjecture on Ramsey Cayley graphs
Carl Schildkraut
A result of Pyber states that every finite group contains an abelian subgroup whose order is quasi-polynomially large in . We prove a similar result for -app…
Words with Repeated Letters in a Grid
Zachary Halberstam, Carl Schildkraut
Given a word , what is the maximum possible number of appearances of reading contiguously along any of the directions in in a large…
Rainbow Trees in Hypercubes
Nicholas Crawford, Maya Sankar, Carl Schildkraut +1
We prove that every proper edge-coloring of the -dimensional hypercube contains a rainbow copy of every tree on at most edges. This result is best possible, as $Q_…
Expansion in Distance Matrices
John Byrne, Jacob Johnston, Carl Schildkraut +1
The normalized distance Laplacian matrix of a graph is a natural generalization of the normalized Laplacian matrix, arising from the matrix of pa…