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math.AG2025
Wild Stacky Curves and Rings of Mod p Modular Forms
Andrew Kobin, David Zureick-Brown
We extend work of Voight and the second author to compute the log canonical ring of a wild stacky curve over a field of characteristic , which allows us to compute rings of…
math.NT2025
The integral Hasse principle for stacky curves associated to a family of generalized Fermat equations
Juanita Duque-Rosero, Christopher Keyes, Andrew Kobin +3
We characterize the integral Hasse principle for an infinite family of spherical stacky curves with genus that are defined using generalized Fermat equations, extend…
math.NT2025
Arithmetic Functions and Geometry
Andrew Kobin
In this expository note, we revisit several classical arithmetic functions - namely Euler's totient function, the divisor sum functions and Dedekind's -function - within a unify…