Carlos E. Arreche

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math.AG2025

Panorbital residues and elliptic summability

Carlos E. Arreche, Matthew W. Babbitt

For $I ¨ $ the translation automorphism defined by a non-torsion point in an elliptic curve, we consider the elliptic summability problem of deciding whether a given elliptic functio…

math.AG2024

Complex reflection groups as differential Galois groups

Carlos E. Arreche, Avery Bainbridge, Benjamin Obert +1

Complex reflection groups comprise a generalization of Weyl groups of semisimple Lie algebras, and even more generally of finite Coxeter groups. They have been heavily studied sinc…