My current research interests are in combinatorics, particularly arithmetic Ramsey theory.
Journal Submissions:
Kevin P. Costello and Gabriel Elvin. "Avoiding Monochromatic Solutions to 3-term Equations", submitted March 4, 2021.
Undergraduate Research:
Caleb Bugg and Gabriel Elvin. "Committee Selection with Approval Voting and Hypercubes", July 24, 2015. MSRI-UP research project in geometric combinatorics. Supervised by Dr. Francis Su and Dr. Duane Cooper.
Gabriel Elvin. "Foundations of Class Field Theory for the Purpose of Artin Reciprocity", September 22, 2016. UCLA's VIGRE Pure Math REU, research in algebraic number theory. Supervised by Dr. Willam Conley.