Santiago Arango-Piñeros
Academic Website

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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

Teaching

Present

Organizing

Research Articles

  1. Counting number fields of fixed degree by their smallest defining polynomial,
    with Fabian Gundlach, Robert J. Lemke Oliver, Kevin J. McGown, Will Sawin, Allechar Serrano López, Arul Shankar, and Ila Varma.
    (2602.06943)
    Geodesic and horocycle flows
  2. Counting primitive integral solutions to spherical generalized Fermat equations.
    Canadian Mathematical Bulletin FirstView (2026).
    (2508.13093, Magma experiment)
    Fermat triples
  3. Fermat descent.
    (pdf, 2508.13059)
    Belyi fiber
  4. Galois groups of simple abelian varieties over finite fields and exceptional Tate classes,
    with Sam Frengley and Sameera Vemulapalli.
    (2505.09589, code)
    Newton polygon
  5. Counting 5-isogenies of elliptic curves over the rationals,
    with Changho Han, Oana Padurariu, and Sun Woo Park.
    Journal of the London Mathematical Society 113 (2026), no. 5, e70572.
    (DOI, 2504.07750, code)
    Bowtie
  6. 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, MR 4927618, 2412.12467, code)
    Positive graph
  7. Galois groups of low dimensional abelian varieties over finite fields,
    with Sam Frengley and Sameera Vemulapalli.
    To appear in Transactions of the American Mathematical Society.
    (2412.03358, code)
    The W6 graph
  8. 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.
    (2306.02237, code)
    Frobenius distribution animation
  9. Mertens' theorem for Chebotarev sets,
    with Daniel Keliher and Chris Keyes.
    International Journal of Number Theory 18 (2022), no. 8, 1823-1842.
    (MR 4439576, 2103.14747)
    Table summary
  10. The global field Euler function,
    with Juan Diego Rojas.
    Research in the Mathematical Sciences 7 (2020), no. 3, Paper No. 19, 21 pp.
    (MR 4123394, 2005.04521)
    Graph of the Euler function

Some talks

Date: 2026-02-09

Author: Santiago Arango-Piñeros

Created: 2026-08-15 Sat 17:43