Santiago Arango-Piñeros
Academic Website
Table of Contents
I am a mathematician interested in Number Theory and Arithmetic Geometry. My pronouns are He/Him/His.
I earned my PhD in 2025 under the supervision of David Zureick-Brown and John Voight.
Currently, I am Visiting Assistant Professor (postdoc) at UMass Amherst.
Here is my CV.
Coordinates
- My office is LGRT 1238.
santiago.arango.pineros@gmail.comsarangopiner@umass.edusantiago.arango@emory.edu- Here are my arXiv papers, MathSciNet profile, and GitHub profile.
Service
- I am co-organizing the Five College Number Theory Seminar with David Zureick-Brown.
Research articles
- Counting primitive integral solutions to spherical generalized Fermat
equations.
(2508.13093, Magma experiment) - Fermat descent. (2508.13059)
- Galois groups of simple abelian varieties over finite fields
and exceptional Tate classes, with Sam Frengley and
Sameera Vemulapalli.
(2505.09589, code) - Counting 5-isogenies of elliptic curves over the
rationals, with Changho Han, Oana Padurariu, and Sun Woo Park.
(2504.07750, code) - Bounds for the relative class number problem for
function fields, with María Chara, Asimina S. Hamakiotes,
Kiran S. Kedlaya, and Gustavo Rama.
Journal of Number Theory 278 (2026), 977-1010.
(DOI, 2412.12467, code) - Galois groups of low dimensional abelian varieties over finite fields, with Sam Frengley and Sameera Vemulapalli. (2412.03358, code)
- Frobenius distributions of low dimensional abelian varieties over finite fields, with Deewang Bhamidipati and Soumya Sankar. International Mathematics Research Notices 2024 (2024), no. 16, 11989-12020.
- Mertens' theorem for Chebotarev sets, with Daniel Keliher and Chris Keyes. International Journal of Number Theory 18 (2022), no. 8, 1823-1842.
- The global field Euler function, with Juan Diego Rojas. Research in the Mathematical Sciences 7 (2020), no. 3, Paper No. 19, 21 pp.
(2306.02237, code)
(MR 4439576, 2103.14747)
(MR 4123394, 2005.04521)
