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Mathematics · University of Connecticut

Dylan Costa

I'm a PhD candidate in Mathematics at the University of Connecticut, advised by Álvaro Lozano-Robledo. I work in arithmetic geometry, studying Galois representations attached to elliptic curves.

I graduated from Ithaca College in 2021 with a BA in Mathematics (Honors) and a BM in Cello Performance. Outside of math, I play cello and perform in a string quartet that puts on yearly chamber concerts in my hometown of Danbury, CT, and I enjoy getting outside and playing board games.

Dylan Costa

News

New preprint on arXiv: Elliptic Curve Rank Growth in Multi-Quadratic ExtensionsWith Álvaro Lozano-Robledo.
October 2026
New preprint: An Elliptic Curve of Rank ≥ 34 and Root Number −1 over a Quadratic FieldWith Álvaro Lozano-Robledo. See my research on ranks.
October 2026
Talk: Recent Discoveries on Ranks of Elliptic CurvesSIGMA Graduate Seminar, University of Connecticut
October 2026
Contact
Email: dylan.costa@uconn.edu
Office: MONT 115, University of Connecticut, Storrs, CT 06269
Research: hexagon · arXiv · Google Scholar