Research Publications

Barrios, A., Lower bounds for the modified Szpiro ratio, to appear in Acta Arithmetica.

Barrios, A., Explicit classification of isogeny graphs of rational elliptic curves, Int. J. Number Theory 19 (2023), no. 4, 913–936.

Barrios, A., Good elliptic curves with a specified torsion subgroup, Journal of Number Theory 242 (2023), 21–43.

Barrios, A. and Roy, M., Representations attached to elliptic curves with a non-trivial odd torsion point, Bull. London Math. Soc. 2022;54:1846–1861.

Barrios, A. and Roy, M., Local data of rational elliptic curves with non-trivial torsion, Pacific J. Math. 318 (2022) 1-42.

Barrios, A., Minimal models of rational elliptic curves with non-trivial torsion, Res. Number Theory 8 (2022), no. 1, Paper No. 4., 39 pp.

Barrios, A., A constructive proof of Masser’s Theorem, Contemp. Math., Vol 759, pp. 51-61, 2020.

Barrios, A., Minimal models of rational elliptic curves with non-tivial torsion, Ph.D. Thesis - Purdue University, 2018, 372 pp., ProQuest LLC, Ann Arbor, MI.

Expository Publications

Barrios, A., Edmonds, R., and Soto, R., Math Alliance: Investing in Tomorrow Today. Book chapter in Count Me In: Community and Belonging in Mathematics by Della Dumbaugh and Deanna Haunsperger, MAA Press, 2022.