Santiago Arango-Piñeros

University of Massachusetts Amherst0000-0002-7224-6777

math.NTmath.AG

On Valency

published · living versions

W_7sy5agud·v1 · currentpublished

Rational points on the non-split Cartan modular curve of level

121

with Filip Najman, David Zureick-Brown

1 version

Preprints & journals

12 papers in the corpus · 2020–2026

7

-adic Galois representations of elliptic curves over the rationals via Kummer descent2610.06521v1 · Santiago Arango-Pineros, David Zureick-Brown2026 · 0 citationsarXiv

p

-adic solubility of

Ax^\ell + By^m + Cz^n = 0

2608.18525v1 · Santiago Arango-Pineros, Christopher Keyes, Andrew Kobin2026 · 0 citationsarXiv

Counting number fields of fixed degree by their smallest defining polynomial2602.06943v1 · Santiago Arango-Pineros, Fabian Gundlach, Robert J. Lemke Oliver et al.2026 · 0 citationsarXiv

Fermat descent2508.13059v2 · Santiago Arango-Pineros2025 · 0 citationsarXiv

Counting primitive integral solutions to spherical generalized Fermat equations2508.13093v2 · Santiago Arango-Pineros2025 · 0 citationsarXiv

Galois groups of simple abelian varieties over finite fields and exceptional Tate classes2505.09589v1 · Santiago Arango-Pineros, Sam Frengley, Sameera Vemulapalli2025 · 0 citationsarXiv

Counting 5-isogenies of elliptic curves over

\mathbb{Q}

2504.07750v2 · Santiago Arango-Pineros, Changho Han, Oana Padurariu et al.2025 · 0 citationsarXiv

Bounds for the relative class number problem for function fields2412.12467v2 · Santiago Arango-Pineros, Mar'ia Chara, Asimina S. Hamakiotes et al.2024 · 0 citationsarXiv

Galois groups of low dimensional abelian varieties over finite fields2412.03358v2 · Santiago Arango-Pineros, Sam Frengley, Sameera Vemulapalli2024 · 0 citationsarXiv

Frobenius distributions of low dimensional abelian varieties over finite fields2306.02237v4 · Santiago Arango-Pineros, Deewang Bhamidipati, Soumya Sankar2023 · 0 citationsInternational Mathematics Research Notices 2024 (2024), no. 16, 11989-12020

Mertens' theorem for Chebotarev sets2103.14747v2 · Santiago Arango-Pineros, Daniel Keliher, Christopher Keyes2021 · 1 citationInternational Journal of Number Theory, Vol. 18, No. 08, pp. 1823-1842 (2022)

Global Field Totients2005.04521v2 · Santiago Arango-Pineros, Juan Diego Rojas2020 · 0 citationsarXiv

Career total: 17 works. 12 are in this corpus.

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