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math.NT2026
On the variation of slopes over moduli stacks of Galois representations
John Bergdall, Robert Pollack
We determine how p-adic slopes of modular forms vary as their associated Galois representations modulo p vary over moduli of Galois representations. As a consequence, we show that…
math.NT2026
Dedekind zeta functions of non-Galois torsion fields of elliptic curves
Robert Pollack, Tom Weston
We give an algorithm to determine factorization types of primes in the number fields generated by a single point of odd order on an elliptic curve. We apply this to compute coeffic…